131728324800000
131,728,324,800,000 is an even composite number composed of seven prime numbers multiplied together.
131728324800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 131728324800000:
29 × 3 × 55 × 31 × 67 × 73 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 31 × 67 × 73 × 181)See below for interesting mathematical facts about the number 131728324800000 from the Numbermatics database.
Names of 131728324800000
- Cardinal: 131728324800000 can be written as One hundred thirty-one trillion, seven hundred twenty-eight billion, three hundred twenty-four million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.317283248 × 1014
Factors of 131728324800000
Divisors of 131728324800000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 67 73 75 80 93 96 100 120 124 125 128 134 146 150 155 160 181 186 192 200 201 219 240 248 250 256 268 292 300 310 320 335 362 365 372 375 384 400 402 438 465 480 496 500 512 536 543 584 600 620 625 640 670 724 730 744 750 768 775 800 804 876 905 930 960 992 1000 1005 1072 1086 1095 1168 1200 1240 1250 1280 1340 1448 1460 1488 1500 1536 1550 1600 1608 1675 1752 1810 1825 1860 1875 1920 1984 2000 2010 2077 2144 2172 2190 2263 2325 2336 2400 2480 2500 2560 2680 2715 2896 2920 2976 3000 3100 3125 3200 3216 3350 3504 3620 3650 3720 3750 3840 3875 3968 4000 4020 4154 4288 4344 4380 4525 4526 4650 4672 4800 4891 4960 5000 5025 5360 5430 5475 5611 5792 5840 5952 6000 6200 6231 6250 6400 6432 6700 6789 7008 7240 7300 7440 7500 7680 7750 7936 8000 8040 8308 8375 8576 8688 8760 9050 9052 9125 9300 9344 9375 9600 9782 9920 10000 10050 10385 10720 10860 10950 11222 11315 11584 11625 11680 11904 12000 12127 12400 12462 12500 12800 12864 13213 13400 13575 13578 14016 14480 14600 14673 14880 15000 15500 15872 16000 16080 16616 16750 16833 17152 17376 17520 18100 18104 18250 18600 18688 18750 19200 19375 19564 19840 20000 20100 20770 21440 21720 21900 22444 22625 22630 23168 23250 23360 23808 24000 24254 24455 24800 24924 25000 25125 25728 26426 26800 27150 27156 27375 28032 28055 28960 29200 29346 29760 30000 31000 31155 32000 32160 33232 33500 33666 33945 34304 34752 35040 36200 36208 36381 36500 37200 37376 37500 38400 38750 39128 39639 39680 40000 40200 41540 41875 42880 43440 43800 44888 45250 45260 45625 46336 46500 46720 47616 48000 48508 48910 49600 49848 50000 50250 51456 51925 52852 53600 54300 54312 54750 56064 56110 56575 57920 58125 58400 58692 59520 60000 60635 62000 62310 64000 64320 66065 66464 67000 67332 67875 67890 69504 70080 72400 72416 72762 73000 73365 74400 75000 77500 78256 79278 79360 80000 80400 83080 83750 84165 85760 86880 87600 89776 90500 90520 91250 92672 93000 93440 96000 96875 97016 97820 99200 99696 100000 100500 102912 103850 105704 107200 108600 108624 109500 112128 112220 113125 113150 115840 116250 116800 117384 119040 120000 121270 122275 124000 124620 125625 128640 132130 132928 134000 134664 135750 135780 136875 139008 140160 140275 144800 144832 145524 146000 146730 148800 150000 151621 155000 155775 156512 158556 160000 160800 166160 167500 168330 169725 171520 173760 175200 179552 181000 181040 181905 182500 186000 186880 192000 193750 194032 195640 198195 198400 199392 200000 201000 207700 209375 211408 214400 217200 217248 219000 224440 226250 226300 228125 231680 232500 233600 234768 238080 240000 242540 244550 248000 249240 251250 257280 259625 264260 265856 268000 269328 271500 271560 273750 278016 280320 280550 282875 289600 289664 290625 291048 292000 293460 297600 300000 303175 303242 310000 311550 313024 317112 320000 321600 330325 332320 335000 336660 339375 339450 347520 350400 359104 362000 362080 363810 365000 366825 372000 375937 387500 388064 391280 396390 396800 398784 400000 402000 409603 415400 418750 420825 422816 428800 434400 434496 438000 448880 452500 452600 454863 456250 463360 465000 467200 469536 480000 485080 489100 496000 498480 502500 514560 519250 528520 531712 536000 538656 543000 543120 547500 560640 561100 565625 565750 579200 579328 581250 582096 584000 586920 595200 600000 606350 606484 611375 620000 623100 626048 628125 634224 643200 660650 664640 670000 673320 678750 678900 684375 695040 700800 701375 718208 724000 724160 727620 730000 733650 744000 751874 758105 775000 776128 778875 782560 792780 797568 800000 804000 819206 830800 837500 841650 845632 848625 857600 868800 868992 876000 885271 897760 905000 905200 909525 909726 912500 930000 934400 939072 960000 970160 978200 990975 992000 996960 1005000 1038500 1057040 1063424 1072000 1077312 1086000 1086240 1095000 1122200 1127811 1131250 1131500 1158400 1158656 1162500 1164192 1168000 1173840 1190400 1200000 1212700 1212968 1222750 1228809 1240000 1246200 1252096 1256250 1268448 1286400 1298125 1321300 1329280 1340000 1346640 1357500 1357800 1368750 1390080 1401600 1402750 1414375 1436416 1448000 1448320 1455240 1460000 1467300 1488000 1503748 1515875 1516210 1550000 1552256 1557750 1565120 1585560 1595136 1600000 1608000 1638412 1651625 1661600 1675000 1683300 1691264 1696875 1697250 1737600 1737984 1752000 1770542 1795520 1810000 1810400 1819050 1819452 1825000 1834125 1860000 1878144 1879685 1940320 1956400 1981950 1984000 1993920 2010000 2048015 2077000 2104125 2114080 2144000 2154624 2172000 2172480 2190000 2244400 2255622 2262500 2263000 2274315 2316800 2325000 2328384 2336000 2347680 2400000 2425400 2425936 2445500 2457618 2480000 2492400 2504192 2512500 2536896 2572800 2596250 2642600 2655813 2658560 2680000 2693280 2715000 2715600 2737500 2803200 2805500 2828750 2872832 2896000 2896640 2910480 2920000 2934600 2976000 3007496 3031750 3032420 3056875 3100000 3104512 3115500 3130240 3171120 3190272 3216000 3276824 3303250 3323200 3350000 3366600 3382528 3393750 3394500 3475200 3475968 3504000 3506875 3541084 3591040 3620000 3620800 3638100 3638904 3650000 3668250 3720000 3756288 3759370 3790525 3880640 3894375 3912800 3963900 3987840 4020000 4096030 4154000 4208250 4228160 4243125 4288000 4309248 4344000 4344960 4380000 4426355 4488800 4511244 4525000 4526000 4547625 4548630 4650000 4656768 4672000 4695360 4800000 4850800 4851872 4891000 4915236 4954875 4960000 4984800 5025000 5073792 5192500 5285200 5311626 5317120 5360000 5386560 5430000 5431200 5475000 5611000 5639055 5657500 5792000 5793280 5820960 5840000 5869200 5952000 6014992 6063500 6064840 6113750 6144045 6200000 6209024 6231000 6260480 6342240 6432000 6490625 6553648 6606500 6646400 6700000 6733200 6765056 6787500 6789000 6950400 7008000 7013750 7071875 7082168 7182080 7240000 7241600 7276200 7277808 7300000 7336500 7440000 7512576 7518740 7579375 7581050 7761280 7788750 7825600 7927800 7975680 8040000 8192060 8258125 8308000 8416500 8456320 8486250 8618496 8688000 8689920 8760000 8852710 8977600 9022488 9050000 9052000 9095250 9097260 9170625 9300000 9313536 9390720 9398425 9701600 9703744 9782000 9830472 9909750 9920000 9969600 10050000 10147584 10240075 10385000 10520625 10570400 10623252 10720000 10773120 10860000 10862400 10950000 11222000 11278110 11315000 11371575 11584000 11641920 11680000 11738400 12029984 12127000 12129680 12227500 12288090 12400000 12462000 12520960 12684480 12864000 12981250 13107296 13213000 13279065 13292800 13400000 13466400 13575000 13578000 14016000 14027500 14143750 14164336 14364160 14480000 14483200 14552400 14555616 14600000 14673000 14880000 15037480 15158750 15162100 15284375 15522560 15577500 15651200 15855600 15951360 16080000 16384120 16516250 16616000 16833000 16912640 16972500 17376000 17379840 17520000 17534375 17705420 17955200 18044976 18100000 18104000 18190500 18194520 18341250 18600000 18627072 18781440 18796850 18952625 19403200 19407488 19471875 19564000 19660944 19819500 19939200 20100000 20295168 20480150 20770000 21041250 21140800 21215625 21246504 21440000 21546240 21720000 21724800 21900000 22131775 22444000 22556220 22630000 22738125 22743150 23283840 23360000 23476800 24059968 24254000 24259360 24455000 24576180 24774375 24800000 24924000 25368960 25962500 26214592 26426000 26558130 26585600 26800000 26932800 27150000 27156000 27443401 28055000 28195275 28287500 28328672 28960000 28966400 29104800 29111232 29200000 29346000 29760000 30074960 30317500 30324200 30568750 30720225 31045120 31155000 31302400 31711200 32160000 32768240 33032500 33232000 33666000 33825280 33945000 34752000 35040000 35068750 35410840 35910400 36089952 36200000 36208000 36381000 36389040 36682500 37200000 37562880 37593700 37896875 37905250 38806400 38814976 38943750 39128000 39321888 39639000 39878400 40200000 40960300 41290625 41540000 42082500 42281600 42431250 42493008 43092480 43440000 43449600 43800000 44263550 44888000 45112440 45260000 45476250 45486300 45853125 46567680 46953600 46992125 48119936 48508000 48518720 48910000 49152360 49548750 49600000 49848000 50737920 51200375 51925000 52429184 52603125 52852000 53116260 53600000 53865600 54300000 54312000 54886802 56110000 56390550 56575000 56657344 56857875 57920000 58209600 58222464 58400000 58692000 60149920 60635000 60648400 61137500 61440450 62310000 62604800 63422400 64320000 65536480 66065000 66395325 66464000 67332000 67890000 70080000 70137500 70821680 71820800 72179904 72400000 72416000 72762000 72778080 73365000 74400000 75187400 75793750 75810500 77612800 77629952 77887500 78256000 78643776 79278000 79756800 80400000 81920600 82330203 82581250 83080000 84165000 84563200 84862500 84986016 86880000 86899200 87600000 88527100 89776000 90224880 90520000 90952500 90972600 91706250 93135360 93907200 93984250 94763125 96239872 97016000 97037440 97820000 98304720 99097500 99696000 101475840 102400750 103850000 104858368 105206250 105704000 106232520 107200000 107731200 108600000 108624000 109773604 110658875 112220000 112781100 113150000 113314688 113690625 113715750 116419200 116444928 116800000 117384000 120299840 121270000 121296800 122275000 122880900 123871875 124620000 126844800 131072960 132130000 132790650 132928000 134664000 135780000 137217005 140275000 140976375 141643360 144359808 144800000 144832000 145524000 145556160 146730000 148800000 150374800 151587500 151621000 153601125 155225600 155775000 156512000 157287552 158556000 160800000 163841200 164660406 165162500 166160000 168330000 169126400 169725000 169972032 173760000 175200000 177054200 179552000 180449760 181040000 181905000 181945200 183412500 187814400 187968500 189526250 192479744 194032000 194074880 195640000 196609440 198195000 199392000 204801500 207700000 209716736 210412500 211408000 212465040 215462400 217200000 217248000 219547208 221317750 224440000 225562200 226300000 226629376 227381250 227431500 232838400 232889856 234768000 234960625 240599680 242540000 242593600 244550000 245761800 247743750 249240000 253689600 256001875 262145920 264260000 265581300 269328000 271560000 274434010 280550000 281952750 283286720 284289375 288719616 289600000 291048000 291112320 293460000 300749600 303175000 303242000 307202250 311550000 313024000 314575104 317112000 321600000 327682400 329320812 330325000 331976625 332320000 336660000 339450000 339944064 350400000 354108400 359104000 360899520 362080000 363810000 363890400 366825000 375937000 379052500 388064000 388149760 391280000 393218880 396390000 398784000 409603000 411651015 415400000 420825000 422816000 424930080 434400000 434496000 439094416 442635500 448880000 451124400 452600000 453258752 454762500 454863000 465676800 469536000 469921250 473815625 481199360 485080000 485187200 489100000 491523600 495487500 498480000 507379200 512003750 524291840 528520000 531162600 538656000 543120000 548868020 553294375 561100000 563905500 566573440 568578750 577439232 582096000 582224640 586920000 601499200 606350000 606484000 614404500 623100000 629150208 634224000 655364800 658641624 660650000 663953250 664640000 673320000 678900000 679888128 686085025 704881875 708216800 721799040 724160000 727620000 727780800 733650000 751874000 758105000 768005625 776128000 782560000 786437760 792780000 819206000 823302030 830800000 841650000 845632000 849860160 868800000 878188832 885271000 897760000 902248800 905200000 909525000 909726000 939072000 939842500 947631250 962398720 970160000 970374400 978200000 983047200 990975000 996960000 1024007500 1048583680 1057040000 1062325200 1077312000 1086240000 1097736040 1106588750 1122200000 1127811000 1133146880 1137157500 1164192000 1164449280 1173840000 1174803125 1202998400 1212700000 1212968000 1228809000 1246200000 1268448000 1280009375 1310729600 1317283248 1321300000 1327906500 1346640000 1357800000 1359776256 1372170050 1409763750 1416433600 1421446875 1443598080 1455240000 1455561600 1467300000 1503748000 1516210000 1536011250 1565120000 1572875520 1585560000 1638412000 1646604060 1659883125 1661600000 1683300000 1699720320 1756377664 1770542000 1795520000 1804497600 1810400000 1819050000 1819452000 1879685000 1895262500 1940320000 1940748800 1956400000 1966094400 1981950000 1993920000 2048015000 2058255075 2114080000 2124650400 2172480000 2195472080 2213177500 2244400000 2255622000 2266293760 2274315000 2328384000 2347680000 2349606250 2405996800 2425400000 2425936000 2457618000 2492400000 2536896000 2560018750 2621459200 2634566496 2642600000 2655813000 2693280000 2715600000 2744340100 2766471875 2819527500 2832867200 2842893750 2887196160 2910480000 2911123200 2934600000 3007496000 3032420000 3072022500 3145751040 3171120000 3276824000 3293208120 3319766250 3323200000 3366600000 3399440640 3430425125 3512755328 3524409375 3541084000 3608995200 3620800000 3638100000 3638904000 3759370000 3790525000 3840028125 3880640000 3912800000 3932188800 3963900000 4096030000 4116510150 4228160000 4249300800 4390944160 4426355000 4488800000 4511244000 4548630000 4695360000 4699212500 4811993600 4850800000 4851872000 4915236000 4984800000 5120037500 5242918400 5269132992 5285200000 5311626000 5386560000 5431200000 5488680200 5532943750 5639055000 5665734400 5685787500 5820960000 5822246400 5869200000 6014992000 6064840000 6144045000 6342240000 6553648000 6586416240 6639532500 6733200000 6798881280 6860850250 7025510656 7048818750 7082168000 7217990400 7276200000 7277808000 7518740000 7581050000 7680056250 7825600000 7864377600 7927800000 8192060000 8233020300 8299415625 8498601600 8781888320 8852710000 8977600000 9022488000 9097260000 9398425000 9701600000 9703744000 9830472000 9969600000 10240075000 10291275375 10538265984 10570400000 10623252000 10862400000 10977360400 11065887500 11278110000 11331468800 11371575000 11641920000 11738400000 12029984000 12129680000 12288090000 12684480000 13107296000 13172832480 13279065000 13466400000 13721700500 14051021312 14097637500 14164336000 14435980800 14552400000 14555616000 15037480000 15162100000 15360112500 15728755200 15855600000 16384120000 16466040600 16598831250 16997203200 17152125625 17563776640 17705420000 18044976000 18194520000 18796850000 19403200000 19660944000 20480150000 20582550750 21076531968 21140800000 21246504000 21954720800 22131775000 22556220000 22743150000 23476800000 24059968000 24259360000 24576180000 26214592000 26345664960 26558130000 26932800000 27443401000 28195275000 28328672000 29104800000 29111232000 30074960000 30324200000 30720225000 31711200000 32768240000 32932081200 33197662500 33994406400 34304251250 35127553280 35410840000 36089952000 36389040000 37593700000 39321888000 40960300000 41165101500 42153063936 42493008000 43909441600 44263550000 45112440000 45486300000 48518720000 49152360000 51456376875 52691329920 53116260000 54886802000 56390550000 56657344000 58209600000 60149920000 60648400000 61440450000 63422400000 65536480000 65864162400 66395325000 68608502500 70255106560 70821680000 72179904000 72778080000 75187400000 78643776000 81920600000 82330203000 84986016000 85760628125 87818883200 88527100000 90224880000 90972600000 98304720000 102912753750 105382659840 106232520000 109773604000 112781100000 120299840000 121296800000 122880900000 131072960000 131728324800 132790650000 137217005000 141643360000 145556160000 150374800000 163841200000 164660406000 169972032000 171521256250 175637766400 177054200000 180449760000 181945200000 196609440000 205825507500 210765319680 212465040000 219547208000 225562200000 242593600000 245761800000 257281884375 263456649600 265581300000 274434010000 283286720000 300749600000 327682400000 329320812000 343042512500 351275532800 354108400000 360899520000 363890400000 393218880000 411651015000 424930080000 439094416000 451124400000 491523600000 514563768750 526913299200 531162600000 548868020000 601499200000 655364800000 658641624000 686085025000 708216800000 727780800000 823302030000 849860160000 878188832000 902248800000 983047200000 1029127537500 1053826598400 1062325200000 1097736040000 1317283248000 1372170050000 1416433600000 1646604060000 1756377664000 1804497600000 1966094400000 2058255075000 2124650400000 2195472080000 2634566496000 2744340100000 3293208120000 4116510150000 4249300800000 4390944160000 5269132992000 5488680200000 6586416240000 8233020300000 8781888320000 10977360400000 13172832480000 16466040600000 21954720800000 26345664960000 32932081200000 43909441600000 65864162400000 131728324800000
- Sum of all divisors σ(n): 468413995585536
- Sum of proper divisors (its aliquot sum) s(n): 336685670785536
- 131728324800000 is an abundant number, because the sum of its proper divisors (336685670785536) is greater than itself. Its abundance is 204957345985536
Bases of 131728324800000
- Binary: 111011111001110011001000000000110101110000000002
- Hexadecimal: 0x77CE6401AE00
- Base-36: 1AOZ5NGLXC
Squares and roots of 131728324800000
- 131728324800000 squared (1317283248000002) is 17352351554614295040000000000
- 131728324800000 cubed (1317283248000003) is 2285796201630016795752148992000000000000000
-
The
square root of 131728324800000 is 11477296.0578700765 -
The
cube root of 131728324800000 is 50881.4785625073
Scales and comparisons
How big is 131728324800000?- 131,728,324,800,000 seconds is equal to 4,188,553 years, 13 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 131,728,324,800,000 would take you about ten million, four hundred seventy-one thousand, three hundred eighty-three 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 131728324800000 cubic inches would be around 4240.1 feet tall.
Recreational maths with 131728324800000
- 131728324800000 backwards is 000008423827131
- The number of decimal digits it has is: 15
- The sum of 131728324800000's digits is 39
- 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 131728324800000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 131728324800000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/131728324800000/
Chicago style:
Numbermatics. 2024. "Number 131728324800000 - Facts about the integer". https://numbermatics.com/n/131728324800000/
The information we have on file for 131728324800000 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 131728324800000, math, Factors of 131728324800000, curriculum, school, college, exams, university, Prime factorization of 131728324800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, seven hundred twenty-eight billion, three hundred twenty-four million, eight hundred thousand.