135213942976000
135,213,942,976,000 is an even composite number composed of six prime numbers multiplied together.
135213942976000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 135213942976000:
29 × 53 × 72 × 31 × 61 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 31 × 61 × 151 × 151)See below for interesting mathematical facts about the number 135213942976000 from the Numbermatics database.
Names of 135213942976000
- Cardinal: 135213942976000 can be written as One hundred thirty-five trillion, two hundred thirteen billion, nine hundred forty-two million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.35213942976 × 1014
Factors of 135213942976000
Divisors of 135213942976000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 61 62 64 70 80 98 100 112 122 124 125 128 140 151 155 160 175 196 200 217 224 244 245 248 250 256 280 302 305 310 320 350 392 400 427 434 448 488 490 496 500 512 560 604 610 620 640 700 755 775 784 800 854 868 875 896 976 980 992 1000 1057 1085 1120 1208 1220 1225 1240 1280 1400 1510 1519 1525 1550 1568 1600 1708 1736 1750 1792 1891 1952 1960 1984 2000 2114 2135 2170 2240 2416 2440 2450 2480 2560 2800 2989 3020 3038 3050 3100 3136 3200 3416 3472 3500 3584 3775 3782 3875 3904 3920 3968 4000 4228 4270 4340 4480 4681 4832 4880 4900 4960 5285 5425 5600 5978 6040 6076 6100 6125 6200 6272 6400 6832 6944 7000 7399 7550 7564 7595 7625 7750 7808 7840 7936 8000 8456 8540 8680 8960 9211 9362 9455 9664 9760 9800 9920 10570 10675 10850 11200 11956 12080 12152 12200 12250 12400 12544 12800 13237 13664 13888 14000 14798 14945 15100 15128 15190 15250 15500 15616 15680 15872 16000 16912 17080 17360 17920 18422 18724 18875 18910 19328 19520 19600 19840 21140 21350 21700 22400 22801 23405 23912 24160 24304 24400 24500 24800 25088 26425 26474 27125 27328 27776 28000 29596 29890 30200 30256 30380 30500 31000 31232 31360 32000 32767 33824 34160 34720 36844 36995 37448 37750 37820 37975 38656 39040 39200 39680 42280 42700 43400 44800 45602 46055 46810 47275 47824 48320 48608 48800 49000 49600 52850 52948 53375 54250 54656 55552 56000 59192 59780 60400 60512 60760 61000 62000 62720 64000 64477 65534 66185 67648 68320 69440 73688 73990 74725 74896 75500 75640 75950 77312 78080 78400 79360 84560 85400 86800 89600 91204 92110 92659 93620 94550 95648 96640 97216 97600 98000 99200 105700 105896 106750 108500 109312 111104 112000 114005 117025 118384 119560 120800 121024 121520 122000 124000 125440 128954 131068 132125 132370 135296 136640 138880 147376 147980 149450 149792 151000 151280 151900 156160 156800 159607 163835 169120 170800 173600 182408 184220 184975 185318 187240 189100 189875 191296 193280 194432 195200 196000 198400 211400 211792 213500 217000 218624 224000 228010 229369 230275 234050 236375 236768 239120 241600 242048 243040 244000 248000 257908 262136 264250 264740 270592 273280 277760 285541 294752 295960 298900 299584 302000 302560 303800 313600 319214 322385 327670 330925 338240 341600 347200 364816 368440 369950 370636 373625 374480 378200 379750 382592 386560 388864 390400 392000 396800 422800 423584 427000 434000 448000 451339 456020 458738 460550 463295 468100 472750 473536 478240 483200 484096 486080 488000 496000 515816 524272 528500 529480 541184 546560 555520 570025 571082 585125 589504 591920 597800 599168 604000 605120 607600 627200 638428 644770 655340 661850 676480 683200 694400 706831 729632 736880 739900 741272 747250 748960 756400 759500 765184 777728 780800 784000 798035 819175 845600 847168 854000 868000 902678 912040 917476 921100 924875 926590 936200 945500 947072 956480 966400 968192 972160 976000 992000 1031632 1048544 1057000 1058960 1093120 1117249 1140050 1142164 1146845 1151375 1170250 1179008 1183840 1195600 1198336 1208000 1210240 1215200 1276856 1289540 1310680 1323700 1352960 1366400 1388800 1390861 1413662 1427705 1459264 1473760 1479800 1482544 1494500 1497920 1512800 1519000 1530368 1568000 1596070 1611925 1638350 1654625 1691200 1694336 1708000 1736000 1805356 1824080 1834952 1842200 1849750 1853180 1872400 1891000 1894144 1912960 1932800 1944320 1952000 1984000 1998787 2063264 2097088 2114000 2117920 2234498 2256695 2280100 2284328 2293690 2302750 2316475 2340500 2358016 2367680 2391200 2396672 2416000 2420480 2430400 2553712 2579080 2621360 2647400 2705920 2732800 2777600 2781722 2827324 2850125 2855410 2918528 2947520 2959600 2965088 2989000 2995840 3025600 3038000 3136000 3192140 3223850 3276700 3309250 3382400 3388672 3416000 3472000 3534155 3610712 3648160 3669904 3684400 3699500 3706360 3744800 3782000 3788288 3825920 3888640 3904000 3990175 3997574 4095875 4126528 4194176 4228000 4235840 4468996 4513390 4560200 4568656 4587380 4605500 4632950 4681000 4716032 4735360 4782400 4832000 4840960 4860800 4947817 5107424 5158160 5242720 5294800 5465600 5563444 5586245 5654648 5700250 5710820 5734225 5837056 5895040 5919200 5930176 5978000 5991680 6051200 6076000 6384280 6447700 6553400 6618500 6764800 6777344 6832000 6944000 6954305 7068310 7138525 7221424 7296320 7339808 7368800 7399000 7412720 7489600 7564000 7651840 7980350 7995148 8059625 8191750 8253056 8388352 8456000 8471680 8937992 9026780 9120400 9137312 9174760 9211000 9265900 9362000 9470720 9564800 9664000 9721600 9736027 9895634 9993935 10214848 10316320 10485440 10589600 11126888 11172490 11283475 11309296 11400500 11421640 11468450 11582375 11674112 11790080 11838400 11860352 11956000 11983360 12102400 12152000 12768560 12895400 13106800 13237000 13529600 13664000 13888000 13908610 13991509 14136620 14277050 14442848 14592640 14679616 14737600 14798000 14825440 14979200 15128000 15960700 15990296 16119250 16383500 16506112 16776704 16912000 16943360 17670775 17875984 18053560 18240800 18274624 18349520 18422000 18531800 18724000 18941440 19129600 19443200 19472054 19791268 19950875 19987870 20429696 20632640 20970880 21179200 22253776 22344980 22566950 22618592 22801000 22843280 22936900 23164750 23580160 23676800 23720704 23912000 24204800 24304000 24739085 25537120 25790800 26213600 26474000 27328000 27817220 27931225 27983018 28273240 28554100 28671125 28885696 29185280 29359232 29475200 29596000 29650880 29958400 30256000 31921400 31980592 32238500 32767000 33012224 33824000 33886720 34634719 34771525 35341550 35692625 35751968 36107120 36481600 36549248 36699040 36844000 37063600 37448000 38259200 38944108 39582536 39901750 39975740 40859392 41265280 41941760 42358400 43116691 44507552 44689960 45133900 45237184 45602000 45686560 45873800 46329500 47353600 47441408 47824000 48608000 48680135 49478170 49969675 51074240 51581600 52427200 52948000 55634440 55862450 55966036 56417375 56546480 57108200 57342250 57771392 58370560 58718464 58950400 59192000 59301760 59916800 60512000 63842800 63961184 64477000 65534000 67648000 68152189 69269438 69543050 69957545 70683100 71385250 71503936 72214240 72963200 73098496 73398080 73688000 74127200 74896000 77888216 79165072 79803500 79951480 81718784 82530560 83883520 84716800 86233382 88353875 89015104 89379920 90267800 90474368 91204000 91373120 91747600 92659000 94707200 95648000 97216000 97360270 98956340 99939350 102148480 103163200 104854400 105896000 111268880 111724900 111932072 112834750 113092960 114216400 114684500 115542784 117436928 117900800 118384000 118603520 121024000 123695425 127685600 127922368 128954000 131068000 136304378 138538876 139086100 139656125 139915090 141366200 142770500 143007872 144428480 145926400 146196992 146796160 147376000 148254400 149792000 155776432 158330144 159607000 159902960 165061120 169433600 172466764 173173595 173857625 176707750 178030208 178759840 180535600 180948736 182408000 182746240 183495200 185318000 191296000 194720540 197912680 199878700 204296960 206326400 209708800 211792000 215583455 222537760 223449800 223864144 225669500 226185920 228432800 229369000 231085568 236768000 237207040 243400675 247390850 249848375 255371200 255844736 257908000 262136000 272608756 277077752 278172200 279312250 279830180 282732400 285541000 286015744 288856960 291852800 293592320 294752000 296508800 299584000 301816837 311552864 316660288 319214000 319805920 340760945 344933528 346347190 347715250 349787725 353415500 356060416 357519680 361071200 361897472 364816000 365492480 366990400 370636000 389441080 395825360 399757400 408593920 412652800 419417600 423584000 431166910 445075520 446899600 447728288 451339000 452371840 456865600 458738000 473536000 486801350 494781700 499696750 510742400 511689472 515816000 524272000 545217512 554155504 556344400 558624500 559660360 565464800 571082000 572031488 577713920 587184640 589504000 593017600 603633674 618477125 623105728 633320576 638428000 639611840 681521890 689867056 692694380 695430500 699575450 706831000 712120832 715039360 722142400 729632000 730984960 733980800 741272000 778882160 791650720 799514800 825305600 847168000 862333820 865867975 890151040 893799200 895456576 902678000 904743680 913731200 917476000 973602700 989563400 999393500 1021484800 1023378944 1031632000 1048544000 1077917275 1090435024 1108311008 1112688800 1117249000 1119320720 1130929600 1142164000 1155427840 1186035200 1207267348 1217003375 1236954250 1246211456 1266641152 1276856000 1279223680 1363043780 1379734112 1385388760 1390861000 1399150900 1413662000 1430078720 1444284800 1459264000 1467961600 1482544000 1509084185 1557764320 1583301440 1599029600 1703804725 1724667640 1731735950 1748938625 1780302080 1787598400 1790913152 1805356000 1809487360 1827462400 1834952000 1947205400 1979126800 1998787000 2042969600 2063264000 2097088000 2112717859 2155834550 2180870048 2216622016 2225377600 2234498000 2238641440 2261859200 2284328000 2414534696 2434006750 2473908500 2492422912 2533282304 2553712000 2558447360 2726087560 2759468224 2770777520 2781722000 2798301800 2827324000 2860157440 2888569600 2935923200 2965088000 3018168370 3115528640 3166602880 3198059200 3407609450 3449335280 3463471900 3497877250 3560604160 3575196800 3581826304 3610712000 3654924800 3669904000 3894410800 3958253600 3997574000 4126528000 4225435718 4311669100 4329339875 4361740096 4433244032 4450755200 4468996000 4477282880 4523718400 4568656000 4829069392 4868013500 4947817000 4984845824 5107424000 5116894720 5389586375 5452175120 5518936448 5541555040 5563444000 5596603600 5654648000 5777139200 5930176000 6036336740 6231057280 6333205760 6396118400 6815218900 6898670560 6926943800 6995754500 7150393600 7163652608 7221424000 7339808000 7545420925 7788821600 7916507200 7995148000 8450871436 8519023625 8623338200 8658679750 8723480192 8866488064 8901510400 8937992000 8954565760 9047436800 9137312000 9658138784 9736027000 9895634000 10214848000 10563589295 10779172750 10904350240 11037872896 11083110080 11126888000 11193207200 11309296000 12072673480 12462114560 12666411520 12792236800 13630437800 13797341120 13853887600 13991509000 14300787200 14442848000 14679616000 15090841850 15577643200 15833014400 15990296000 16901742872 17038047250 17246676400 17317359500 17446960384 17732976128 17803020800 17875984000 17909131520 18274624000 19316277568 19472054000 19791268000 21127178590 21558345500 21808700480 22075745792 22166220160 22253776000 22386414400 22618592000 24145346960 24924229120 25584473600 27260875600 27594682240 27707775200 27983018000 28885696000 30181683700 31155286400 31666028800 31980592000 33803485744 34076094500 34493352800 34634719000 34893920768 35751968000 35818263040 37727104625 38632555136 38944108000 39582536000 42254357180 43116691000 43617400960 44332440320 44507552000 44772828800 45237184000 48290693920 52817946475 54521751200 55189364480 55415550400 55966036000 60363367400 62310572800 63332057600 63961184000 67606971488 68152189000 68986705600 69269438000 71503936000 75454209250 77265110272 77888216000 79165072000 84508714360 86233382000 87234801920 88664880640 89015104000 89545657600 96581387840 105635892950 109043502400 110378728960 110831100800 111932072000 120726734800 124621145600 127922368000 135213942976 136304378000 137973411200 138538876000 150908418500 154530220544 155776432000 158330144000 169017428720 172466764000 174469603840 179091315200 193162775680 211271785900 218087004800 221662201600 223864144000 241453469600 264089732375 270427885952 272608756000 275946822400 277077752000 301816837000 311552864000 316660288000 338034857440 344933528000 386325551360 422543571800 436174009600 443324403200 447728288000 482906939200 528179464750 540855771904 545217512000 551893644800 554155504000 603633674000 623105728000 676069714880 689867056000 772651102720 845087143600 872348019200 895456576000 965813878400 1056358929500 1081711543808 1090435024000 1108311008000 1207267348000 1352139429760 1379734112000 1690174287200 1931627756800 2112717859000 2180870048000 2216622016000 2414534696000 2704278859520 2759468224000 3380348574400 3863255513600 4225435718000 4361740096000 4829069392000 5408557719040 6760697148800 8450871436000 9658138784000 13521394297600 16901742872000 19316277568000 27042788595200 33803485744000 67606971488000 135213942976000
- Sum of all divisors σ(n): 414243986188032
- Sum of proper divisors (its aliquot sum) s(n): 279030043212032
- 135213942976000 is an abundant number, because the sum of its proper divisors (279030043212032) is greater than itself. Its abundance is 143816100236032
Bases of 135213942976000
- Binary: 111101011111001111100110000101000101110000000002
- Hexadecimal: 0x7AF9F30A2E00
- Base-36: 1BXGFEIZGG
Squares and roots of 135213942976000
- 135213942976000 squared (1352139429760002) is 18282810375116979736576000000
- 135213942976000 cubed (1352139429760003) is 2472090879502088467430734765490176000000000
-
The
square root of 135213942976000 is 11628153.0337366991 -
The
cube root of 135213942976000 is 51326.3631601343
Scales and comparisons
How big is 135213942976000?- 135,213,942,976,000 seconds is equal to 4,299,385 years, 7 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 135,213,942,976,000 would take you about ten million, seven hundred forty-eight thousand, four hundred sixty-two 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 135213942976000 cubic inches would be around 4277.2 feet tall.
Recreational maths with 135213942976000
- 135213942976000 backwards is 000679249312531
- The number of decimal digits it has is: 15
- The sum of 135213942976000's digits is 52
- More coming soon!
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The information we have on file for 135213942976000 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!
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