145144138464000
145,144,138,464,000 is an even composite number composed of six prime numbers multiplied together.
145144138464000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 145144138464000:
28 × 34 × 53 × 132 × 127 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 127 × 2609)See below for interesting mathematical facts about the number 145144138464000 from the Numbermatics database.
Names of 145144138464000
- Cardinal: 145144138464000 can be written as One hundred forty-five trillion, one hundred forty-four billion, one hundred thirty-eight million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.45144138464 × 1014
Factors of 145144138464000
Divisors of 145144138464000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 127 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 254 256 260 270 288 300 312 320 324 325 338 351 360 375 381 384 390 400 405 416 432 450 468 480 500 507 508 520 540 576 585 600 624 635 640 648 650 675 676 702 720 750 762 768 780 800 810 832 845 864 900 936 960 975 1000 1014 1016 1040 1053 1080 1125 1143 1152 1170 1200 1248 1270 1280 1296 1300 1350 1352 1404 1440 1500 1521 1524 1560 1600 1620 1625 1651 1664 1690 1728 1755 1800 1872 1905 1920 1950 2000 2025 2028 2032 2080 2106 2160 2250 2286 2304 2340 2400 2496 2535 2540 2592 2600 2609 2700 2704 2808 2880 2925 3000 3042 3048 3120 3175 3200 3240 3250 3302 3328 3375 3380 3429 3456 3510 3600 3744 3810 3840 3900 4000 4050 4056 4064 4160 4212 4225 4320 4500 4563 4572 4680 4800 4875 4953 4992 5070 5080 5184 5200 5218 5265 5400 5408 5616 5715 5760 5850 6000 6084 6096 6240 6350 6400 6480 6500 6604 6750 6760 6858 6912 7020 7200 7488 7605 7620 7800 7827 8000 8100 8112 8128 8255 8320 8424 8450 8640 8775 9000 9126 9144 9360 9525 9600 9750 9906 9984 10125 10140 10160 10287 10368 10400 10436 10530 10800 10816 11232 11430 11520 11700 12000 12168 12192 12480 12675 12700 12960 13000 13045 13208 13500 13520 13689 13716 14040 14400 14625 14859 14976 15210 15240 15600 15654 15875 16000 16200 16224 16256 16510 16640 16848 16900 17145 17280 17550 18000 18252 18288 18720 19050 19200 19500 19812 20250 20280 20320 20574 20736 20800 20872 21060 21125 21463 21600 21632 22464 22815 22860 23400 23481 24000 24336 24384 24765 24960 25350 25400 25920 26000 26090 26325 26416 27000 27040 27378 27432 28080 28575 28800 29250 29718 29952 30420 30480 31200 31308 31750 32000 32400 32448 32512 33020 33696 33800 33917 34290 34560 35100 36000 36504 36576 37440 38025 38100 39000 39135 39624 40500 40560 40640 41148 41275 41600 41744 42120 42250 42926 43200 43264 43875 44577 44928 45630 45720 46800 46962 47625 48000 48672 48768 49530 49920 50700 50800 51435 51840 52000 52180 52650 52832 54000 54080 54756 54864 56160 57150 57600 58500 59436 60840 60960 62400 62616 63375 63500 64389 64800 64896 65225 66040 67392 67600 67834 68445 68580 70200 70443 72000 73008 73152 74295 74880 76050 76200 78000 78270 79248 81000 81120 81280 82296 82550 83200 83488 84240 84500 85725 85852 86400 87750 89154 89856 91260 91440 93600 93924 95250 96000 97344 97536 99060 101400 101600 101751 102870 103680 104000 104360 105300 105664 107315 108000 108160 109512 109728 112320 114075 114300 117000 117405 118872 121680 121920 123825 124800 125232 126750 127000 128778 129600 129792 130450 131625 132080 133731 134784 135200 135668 136890 137160 140400 140886 142875 144000 146016 146304 148590 149760 152100 152400 156000 156540 158496 162000 162240 162560 164592 165100 166976 168480 169000 169585 171450 171704 172800 175500 178308 182520 182880 187200 187848 190125 190500 193167 194688 195675 198120 202800 203200 203502 205740 206375 208000 208720 210600 211328 211329 214630 216000 216320 219024 219456 222885 224640 228150 228600 234000 234810 237744 243360 243840 247650 249600 250464 253500 254000 257175 257556 259200 260900 263250 264160 267462 269568 270400 271336 273780 274320 280800 281772 285750 288000 292032 292608 297180 304200 304800 305253 312000 313080 316992 321945 324000 324480 326125 329184 330200 331343 333952 336960 338000 339170 342225 342900 343408 351000 352215 356616 365040 365760 371475 374400 375696 380250 381000 386334 389376 391350 396240 405600 406400 407004 411480 412750 416000 417440 421200 422656 422658 428625 429260 432000 438048 438912 440921 445770 449280 456300 457200 468000 469620 475488 486720 487680 495300 500928 507000 508000 508755 514350 515112 518400 521800 526500 528320 534924 536575 540800 542672 547560 548640 561600 563544 570375 571500 579501 584064 587025 594360 608400 609600 610506 619125 624000 626160 633984 643890 648000 648960 652250 658368 660400 662686 667904 668655 673920 676000 678340 684450 685800 686816 702000 704430 713232 730080 731520 742950 748800 751392 760500 762000 772668 782700 792480 811200 812800 814008 822960 825500 834880 842400 845316 847925 857250 858520 864000 876096 877824 881842 891540 912600 914400 915759 936000 939240 950976 965835 973440 978375 990600 994029 1001856 1014000 1016000 1017510 1028700 1030224 1043600 1053000 1056640 1056645 1069848 1073150 1081600 1085344 1095120 1097280 1114425 1123200 1127088 1140750 1143000 1159002 1168128 1174050 1188720 1216800 1219200 1221012 1238250 1248000 1252320 1267968 1285875 1287780 1296000 1304500 1316736 1320800 1322763 1325372 1337310 1347840 1352000 1356680 1368900 1371600 1373632 1404000 1408860 1426464 1460160 1463040 1485900 1502784 1521000 1524000 1526265 1545336 1565400 1584960 1609725 1622400 1628016 1645920 1651000 1656715 1669760 1684800 1690632 1695850 1711125 1714500 1717040 1738503 1752192 1761075 1763684 1783080 1825200 1828800 1831518 1857375 1872000 1878480 1901952 1931670 1946880 1956750 1981200 1988058 2003712 2028000 2032000 2035020 2057400 2060448 2087200 2106000 2113280 2113290 2139696 2146300 2170688 2190240 2194560 2204605 2228850 2246400 2254176 2281500 2286000 2318004 2348100 2377440 2433600 2438400 2442024 2476500 2504640 2543775 2571750 2575560 2592000 2609000 2633472 2641600 2645526 2650744 2674620 2682875 2704000 2713360 2737800 2743200 2747264 2747277 2808000 2817720 2852928 2897505 2920320 2935125 2971800 2982087 3005568 3042000 3048000 3052530 3090672 3130800 3169920 3219450 3244800 3256032 3291840 3302000 3313430 3339520 3343275 3369600 3381264 3391700 3422250 3429000 3434080 3477006 3504384 3522150 3527368 3566160 3650400 3657600 3663036 3714750 3744000 3756960 3803904 3863340 3913500 3962400 3968289 3976116 4056000 4064000 4070040 4114800 4120896 4174400 4212000 4226580 4239625 4279392 4292600 4307459 4341376 4380480 4389120 4409210 4457700 4508352 4563000 4572000 4578795 4636008 4696200 4754880 4829175 4867200 4884048 4953000 4970145 5009280 5087550 5143500 5151120 5218000 5283200 5283225 5291052 5301488 5349240 5365750 5408000 5426720 5475600 5486400 5494528 5494554 5572125 5616000 5635440 5705856 5795010 5840640 5870250 5943600 5964174 6011136 6084000 6096000 6105060 6181344 6261600 6339840 6438900 6512064 6583680 6604000 6613815 6626860 6686550 6739200 6762528 6783400 6844500 6858000 6868160 6954012 7044300 7054736 7132320 7300800 7315200 7326072 7429500 7513920 7631325 7726680 7827000 7924800 7936578 7952232 8048625 8112000 8140080 8229600 8241792 8283575 8348800 8424000 8453160 8479250 8558784 8585200 8614918 8682752 8692515 8760960 8805375 8818420 8915400 8946261 9016704 9126000 9144000 9157590 9272016 9392400 9509760 9658350 9734400 9768096 9906000 9940290 10018560 10175100 10287000 10302240 10436000 10566400 10566450 10582104 10602976 10698480 10731500 10853440 10951200 10972800 10989108 11023025 11144250 11232000 11270880 11411712 11590020 11740500 11887200 11904867 11928348 12168000 12192000 12210120 12362688 12523200 12718875 12877800 12922377 13024128 13167360 13208000 13227630 13253720 13373100 13525056 13566800 13689000 13716000 13736320 13736385 13908024 14088600 14109472 14264640 14487525 14601600 14652144 14859000 14910435 15027840 15262650 15453360 15654000 15849600 15873156 15904464 16097250 16224000 16280160 16459200 16483584 16567150 16697600 16716375 16848000 16906320 16958500 17117568 17170400 17229836 17385030 17521920 17610750 17636840 17830800 17892522 18033408 18252000 18288000 18315180 18544032 18784800 19019520 19316700 19536192 19812000 19841445 19880580 20350200 20574000 20604480 20872000 21132900 21164208 21205952 21396960 21463000 21537295 21706880 21902400 21945600 21978216 22046050 22288500 22541760 22893975 23180040 23481000 23774400 23809734 23856696 24145875 24336000 24420240 24725376 24850725 25046400 25437750 25755600 25844754 26048256 26416000 26416125 26455260 26507440 26746200 26838783 27050112 27133600 27378000 27432000 27472640 27472770 27816048 28177200 28218944 28529280 28975050 29203200 29304288 29718000 29820870 30055680 30525300 30906720 31308000 31699200 31746312 31808928 32194500 32560320 32918400 33069075 33134300 33432750 33696000 33812640 33917000 34235136 34340800 34459672 34770060 35221500 35273680 35661600 35714601 35785044 36504000 36576000 36630360 37088064 37569600 38156625 38633400 38767131 39072384 39624000 39682890 39761160 40700400 41148000 41208960 41417875 41744000 42265800 42328416 42411904 42793920 42926000 43074590 43413760 43462575 43804800 43956432 44092100 44577000 44731305 45083520 45787950 46360080 46962000 47548800 47619468 47713392 48291750 48672000 48840480 49450752 49701450 50092800 50875500 51511200 51689508 52832000 52832250 52910520 53014880 53492400 53677566 54100224 54267200 54756000 54864000 54945540 55115125 55632096 55996967 56354400 56437888 57058560 57950100 58608576 59436000 59524335 59641740 61050600 61813440 62616000 63492624 63617856 64389000 64611885 65120640 65836800 66138150 66268600 66865500 67625280 67834000 68681600 68681925 68919344 69540120 70443000 70547360 71323200 71429202 71570088 72437625 73008000 73260720 74176128 74552175 75139200 76313250 77266800 77534262 78144768 79248000 79365780 79522320 81400800 82296000 82417920 82835750 83488000 84531600 84656832 84823808 85587840 85852000 86149180 86925150 87609600 87912864 88184200 89154000 89462610 90167040 91575900 92720160 93924000 95097600 95238936 95426784 96583500 97680960 99207225 99402900 101751000 103022400 103379016 105664500 105821040 106029760 106984800 107355132 107686475 108534400 109512000 109728000 109891080 110230250 111264192 111993934 112708800 112875776 114469875 115900200 116301393 117217152 118872000 119048670 119283480 122101200 123626880 124253625 125232000 126985248 127235712 128778000 129223770 130241280 132276300 132537200 133731000 134193915 135250560 135668000 137363200 137363850 137838688 139080240 140886000 141094720 142646400 142858404 143140176 144875250 146016000 146521440 148352256 149104350 150278400 152626500 154533600 155068524 158496000 158731560 159044640 162801600 164592000 165345375 165671500 167990901 169063200 169313664 171175680 171704000 172298360 173850300 175825728 176368400 178308000 178573005 178925220 183151800 185440320 187848000 190477872 190853568 193167000 193835655 195361920 198414450 198805800 203502000 206044800 206758032 211329000 211642080 212059520 213969600 214710264 215372950 217068800 217312875 219024000 219782160 220460500 222528384 223656525 223987868 225417600 228939750 231800400 232602786 234434304 237744000 238097340 238566960 244202400 247253760 248507250 250464000 253970496 254471424 257556000 258447540 264552600 265074400 267462000 268387830 270501120 271336000 274727700 275677376 278160480 279984835 281772000 282189440 285292800 285716808 286280352 289750500 293042880 297621675 298208700 305253000 309067200 310137048 317463120 318089280 323059425 325603200 329184000 330690750 331343000 335981802 338126400 338627328 343408000 343409625 344596720 347700600 348904179 351651456 352736800 356616000 357146010 357850440 366303600 370880640 372760875 375696000 380955744 381707136 386334000 387671310 390723840 396828900 397611600 407004000 412089600 413516064 422658000 423284160 424119040 427939200 429420528 430745900 434625750 438048000 439564320 440921000 445056768 447313050 447975736 450835200 457879500 463600800 465205572 475488000 476194680 477133920 488404800 496036125 497014500 503972703 507940992 515112000 516895080 529105200 530148800 534924000 536775660 538432375 542672000 549455400 551354752 556320960 559969670 563544000 564378880 571433616 572560704 579501000 581506965 586085760 595243350 596417400 610506000 618134400 620274096 634926240 636178560 646118850 651206400 661381500 662686000 670969575 671963604 676252800 686816000 686819250 689193440 695401200 697808358 703302912 705473600 713232000 714292020 715700880 732607200 741761280 745521750 751392000 761911488 763414272 772668000 775342620 793657800 795223200 814008000 827032128 839954505 845316000 846568320 855878400 858841056 861491800 869251500 879128640 881842000 892865025 894626100 895951472 915759000 927201600 930411144 952389360 954267840 969178275 976809600 992072250 994029000 1007945406 1015881984 1030224000 1033790160 1058210400 1060297600 1069848000 1073551320 1076864750 1085344000 1098910800 1102709504 1112641920 1118282625 1119939340 1127088000 1142867232 1145121408 1159002000 1163013930 1172171520 1190486700 1192834800 1221012000 1236268800 1240548192 1269852480 1272357120 1292237700 1322763000 1325372000 1341939150 1343927208 1352505600 1373638500 1378386880 1390802400 1395616716 1399924175 1410947200 1426464000 1428584040 1431401760 1465214400 1488108375 1491043500 1511918109 1523822976 1545336000 1550685240 1587315600 1590446400 1615297125 1628016000 1654064256 1679909010 1690632000 1693136640 1717682112 1722983600 1738503000 1744520895 1758257280 1763684000 1785730050 1789252200 1791902944 1831518000 1854403200 1860822288 1904778720 1908535680 1938356550 1953619200 1984144500 1988058000 2015890812 2060448000 2067580320 2116420800 2120595200 2139696000 2147102640 2153729500 2197821600 2225283840 2236565250 2239878680 2254176000 2285734464 2290242816 2318004000 2326027860 2380973400 2385669600 2442024000 2481096384 2519863515 2539704960 2584475400 2645526000 2650744000 2683878300 2687854416 2747277000 2756773760 2781604800 2791233432 2799848350 2821894400 2857168080 2862803520 2907534825 2930428800 2976216750 2982087000 3023836218 3047645952 3090672000 3101370480 3174631200 3180892800 3230594250 3256032000 3308128512 3354847875 3359818020 3381264000 3435364224 3445967200 3477006000 3489041790 3516514560 3527368000 3571460100 3578504400 3583805888 3663036000 3708806400 3721644576 3809557440 3817071360 3876713100 3968289000 3976116000 4031781624 4135160640 4199772525 4232841600 4279392000 4294205280 4307459000 4395643200 4464325125 4473130500 4479757360 4535754327 4571468928 4636008000 4652055720 4761946800 4771339200 4845891375 4884048000 4962192768 5039727030 5079409920 5168950800 5291052000 5301488000 5367756600 5375708832 5494554000 5513547520 5563209600 5582466864 5599696700 5714336160 5725607040 5815069650 5860857600 5952433500 5964174000 6047672436 6181344000 6202740960 6349262400 6361785600 6461188500 6709695750 6719636040 6762528000 6870728448 6891934400 6954012000 6978083580 6999620875 7054736000 7142920200 7157008800 7167611776 7326072000 7443289152 7559590545 7619114880 7753426200 7936578000 7952232000 8063563248 8270321280 8399545050 8465683200 8588410560 8614918000 8722604475 8791286400 8928650250 8946261000 8959514720 9071508654 9142937856 9272016000 9304111440 9523893600 9542678400 9691782750 9768096000 9924385536 10079454060 10337901600 10582104000 10602976000 10735513200 10751417664 10989108000 11126419200 11164933728 11199393400 11428672320 11451214080 11630139300 11904867000 11928348000 12095344872 12405481920 12599317575 12698524800 12922377000 13419391500 13439272080 13783868800 13908024000 13956167160 13999241750 14109472000 14285840400 14314017600 14335223552 14537674125 14652144000 14886578304 15119181090 15238229760 15506852400 15873156000 15904464000 16127126496 16540642560 16799090100 17176821120 17229836000 17445208950 17582572800 17857300500 17892522000 17919029440 18143017308 18544032000 18608222880 19047787200 19085356800 19383565500 20158908120 20675803200 20998862625 21164208000 21471026400 21502835328 21978216000 22329867456 22398786800 22678771635 22857344640 23260278600 23809734000 23856696000 24190689744 24810963840 25198635150 25397049600 25844754000 26838783000 26878544160 27567737600 27816048000 27912334320 27998483500 28571680800 28628035200 29075348250 29304288000 29773156608 30238362180 31013704800 31746312000 31808928000 32254252992 33598180200 34353642240 34459672000 34890417900 35714601000 35785044000 35838058880 36286034616 37216445760 37797952725 38095574400 38767131000 40317816240 41351606400 41997725250 42328416000 42942052800 43005670656 43613022375 43956432000 44659734912 44797573600 45357543270 45714689280 46520557200 47619468000 47713392000 48381379488 49621927680 50397270300 51689508000 53677566000 53757088320 55632096000 55824668640 55996967000 57143361600 57256070400 58150696500 60476724360 62027409600 62996587875 63492624000 64508505984 67196360400 68919344000 69780835800 71429202000 71570088000 71676117760 72572069232 74432891520 75595905450 76191148800 77534262000 80635632480 82703212800 83995450500 85884105600 87226044750 87912864000 89319469824 89595147200 90715086540 93041114400 95238936000 95426784000 96762758976 100794540600 103379016000 107355132000 107514176640 111649337280 111993934000 113393858175 114286723200 116301393000 120953448720 124054819200 125993175750 126985248000 129017011968 134392720800 137838688000 139561671600 142858404000 143140176000 145144138464 148865783040 151191810900 155068524000 161271264960 167990901000 171768211200 174452089500 179190294400 181430173080 186082228800 188989763625 190477872000 193525517952 201589081200 206758032000 214710264000 215028353280 223298674560 223987868000 226787716350 228573446400 232602786000 241906897440 248109638400 251986351500 268785441600 279123343200 285716808000 286280352000 290288276928 302383621800 310137048000 322542529920 335981802000 348904179000 358380588800 362860346160 372164457600 377979527250 380955744000 387051035904 403178162400 413516064000 429420528000 446597349120 447975736000 453575432700 465205572000 483813794880 503972703000 537570883200 558246686400 566969290875 571433616000 580576553856 604767243600 620274096000 645085059840 671963604000 697808358000 725720692320 744328915200 755959054500 806356324800 858841056000 895951472000 907150865400 930411144000 967627589760 1007945406000 1075141766400 1116493372800 1133938581750 1142867232000 1161153107712 1209534487200 1240548192000 1343927208000 1395616716000 1451441384640 1511918109000 1612712649600 1791902944000 1814301730800 1860822288000 1935255179520 2015890812000 2232986745600 2267877163500 2419068974400 2687854416000 2791233432000 2902882769280 3023836218000 3225425299200 3628603461600 3721644576000 4031781624000 4535754327000 4838137948800 5375708832000 5582466864000 5805765538560 6047672436000 7257206923200 8063563248000 9071508654000 9676275897600 11164933728000 12095344872000 14514413846400 16127126496000 18143017308000 24190689744000 29028827692800 36286034616000 48381379488000 72572069232000 145144138464000
- Sum of all divisors σ(n): 589701775703040
- Sum of proper divisors (its aliquot sum) s(n): 444557637239040
- 145144138464000 is an abundant number, because the sum of its proper divisors (444557637239040) is greater than itself. Its abundance is 299413498775040
Bases of 145144138464000
- Binary: 1000010000000010000000001101000001111011000000002
- Hexadecimal: 0x840200D07B00
- Base-36: 1FG6AOJ400
Squares and roots of 145144138464000
- 145144138464000 squared (1451441384640002) is 21066820930456804279296000000
- 145144138464000 cubed (1451441384640003) is 3057725574126515715085086352441344000000000
-
The
square root of 145144138464000 is 12047578.1161194385 -
The
cube root of 145144138464000 is 52553.2808699857
Scales and comparisons
How big is 145144138464000?- 145,144,138,464,000 seconds is equal to 4,615,134 years, 33 weeks, 3 days.
-
To count from 1 to 145,144,138,464,000 would take you about eleven million, five hundred thirty-seven thousand, eight hundred thirty-six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 145144138464000 cubic inches would be around 4379.4 feet tall.
Recreational maths with 145144138464000
- 145144138464000 backwards is 000464831441541
- 145144138464000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 145144138464000's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 145144138464000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 145144138464000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/145144138464000/
Chicago style:
Numbermatics. 2024. "Number 145144138464000 - Facts about the integer". https://numbermatics.com/n/145144138464000/
The information we have on file for 145144138464000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 145144138464000, math, Factors of 145144138464000, curriculum, school, college, exams, university, Prime factorization of 145144138464000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-five trillion, one hundred forty-four billion, one hundred thirty-eight million, four hundred sixty-four thousand.