107204132480000
107,204,132,480,000 is an even composite number composed of five prime numbers multiplied together.
107204132480000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred ninety divisors.
Prime factorization of 107204132480000:
210 × 54 × 17 × 432 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 17 × 43 × 43 × 73 × 73)See below for interesting mathematical facts about the number 107204132480000 from the Numbermatics database.
Names of 107204132480000
- Cardinal: 107204132480000 can be written as One hundred seven trillion, two hundred four billion, one hundred thirty-two million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.0720413248 × 1014
Factors of 107204132480000
Divisors of 107204132480000
- Number of divisors d(n): 990
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 43 50 64 68 73 80 85 86 100 125 128 136 146 160 170 172 200 215 250 256 272 292 320 340 344 365 400 425 430 500 512 544 584 625 640 680 688 730 731 800 850 860 1000 1024 1075 1088 1168 1241 1250 1280 1360 1376 1460 1462 1600 1700 1720 1825 1849 2000 2125 2150 2176 2336 2482 2500 2560 2720 2752 2920 2924 3139 3200 3400 3440 3650 3655 3698 4000 4250 4300 4352 4672 4964 5000 5120 5329 5375 5440 5504 5840 5848 6205 6278 6400 6800 6880 7300 7310 7396 8000 8500 8600 8704 9125 9245 9344 9928 10000 10625 10658 10750 10880 11008 11680 11696 12410 12556 12800 13600 13760 14600 14620 14792 15695 16000 17000 17200 17408 18250 18275 18490 18688 19856 20000 21250 21316 21500 21760 22016 23360 23392 24820 25112 25600 26645 26875 27200 27520 29200 29240 29584 31025 31390 31433 32000 34000 34400 36500 36550 36980 37376 39712 40000 42500 42632 43000 43520 44032 45625 46225 46720 46784 49640 50224 53290 53363 53750 54400 55040 58400 58480 59168 62050 62780 62866 64000 68000 68800 73000 73100 73960 74752 78475 79424 80000 85000 85264 86000 87040 90593 91250 91375 92450 93440 93568 99280 100448 106580 106726 107500 108800 110080 116800 116960 118336 124100 125560 125732 128000 133225 134977 136000 137600 146000 146200 147920 155125 156950 157165 158848 160000 170000 170528 172000 181186 182500 182750 184900 186880 187136 198560 200896 213160 213452 215000 217600 220160 229147 231125 233600 233920 236672 248200 251120 251464 266450 266815 269954 272000 275200 292000 292400 295840 310250 313900 314330 317696 320000 340000 341056 344000 362372 365000 365500 369800 373760 374272 392375 397120 401792 426320 426904 430000 435200 452965 456875 458294 462250 467200 467840 473344 496400 502240 502928 532900 533630 539908 544000 550400 584000 584800 591680 620500 627800 628660 635392 640000 666125 674885 680000 682112 688000 724744 730000 731000 739600 748544 775625 784750 785825 794240 803584 852640 853808 860000 905930 913750 916588 924500 934400 935680 946688 992800 1004480 1005856 1065800 1067260 1079816 1088000 1100800 1145735 1155625 1168000 1169600 1183360 1241000 1255600 1257320 1270784 1332250 1334075 1349770 1360000 1364224 1376000 1449488 1460000 1462000 1479200 1551250 1569500 1571650 1588480 1607168 1705280 1707616 1720000 1811860 1827500 1833176 1849000 1868800 1871360 1893376 1961875 1985600 2008960 2011712 2131600 2134520 2159632 2176000 2264825 2291470 2294609 2311250 2336000 2339200 2366720 2482000 2511200 2514640 2664500 2668150 2699540 2720000 2728448 2752000 2898976 2920000 2924000 2958400 3102500 3139000 3143300 3176960 3214336 3330625 3374425 3410560 3415232 3440000 3623720 3655000 3666352 3698000 3742720 3895499 3923750 3929125 3971200 4017920 4023424 4263200 4269040 4319264 4529650 4582940 4589218 4622500 4672000 4678400 4733440 4964000 5022400 5029280 5329000 5336300 5399080 5440000 5456896 5504000 5728675 5797952 5840000 5848000 5916800 6205000 6278000 6286600 6353920 6661250 6670375 6748850 6821120 6830464 6880000 7247440 7310000 7332704 7396000 7790998 7847500 7858250 7942400 8035840 8046848 8526400 8538080 8638528 9059300 9165880 9178436 9245000 9344000 9356800 9466880 9853321 9928000 10044800 10058560 10658000 10672600 10798160 10880000 11324125 11457350 11473045 11595904 11680000 11696000 11833600 12410000 12556000 12573200 13322500 13340750 13497700 13642240 13660928 13760000 14494880 14620000 14665408 14792000 15581996 15695000 15716500 15884800 16071680 16093696 16872125 17052800 17076160 17277056 18118600 18331760 18356872 18490000 18713600 19477495 19645625 19706642 19856000 20089600 20117120 21316000 21345200 21596320 22648250 22914700 22946090 23191808 23360000 23392000 23667200 24820000 25112000 25146400 26645000 26681500 26995400 27284480 27321856 27520000 28643375 28989760 29240000 29330816 29584000 31163992 31390000 31433000 31769600 32187392 33351875 33744250 34105600 34152320 34554112 36237200 36663520 36713744 36980000 38954990 39291250 39413284 39712000 40179200 40234240 42632000 42690400 43192640 45296500 45829400 45892180 46383616 46720000 46784000 47334400 49266605 49640000 50224000 50292800 53290000 53363000 53990800 54643712 56620625 57286750 57365225 57979520 58480000 58661632 59168000 62327984 62780000 62866000 66703750 67488500 68211200 68304640 69108224 72474400 73327040 73427488 73960000 77909980 78582500 78826568 79424000 80358400 80468480 84360625 85264000 85380800 86385280 90593000 91658800 91784360 92767232 93568000 97387475 98533210 99280000 100448000 100585600 106580000 106726000 107981600 113241250 114573500 114730450 115959040 116960000 117323264 118336000 124655968 125560000 125732000 133407500 134977000 136422400 136609280 138216448 143216875 144948800 146654080 146854976 147920000 155819960 157165000 157653136 158848000 160936960 167506457 168721250 170528000 170761600 172770560 181186000 183317600 183568720 194774950 197066420 198560000 200896000 201171200 213160000 213452000 215963200 226482500 229147000 229460900 231918080 233920000 234646528 236672000 246333025 249311936 251120000 251464000 266815000 269954000 273218560 286433750 286826125 289897600 293308160 293709952 295840000 311639920 314330000 315306272 335012914 337442500 341056000 341523200 345541120 362372000 366635200 367137440 389549900 394132840 397120000 401792000 402342400 426320000 426904000 431926400 452965000 458294000 458921800 463836160 467840000 486937375 492666050 498623872 502240000 502928000 533630000 539908000 572867500 573652250 579795200 586616320 587419904 591680000 623279840 628660000 630612544 670025828 674885000 682112000 683046400 691082240 724744000 733270400 734274880 779099800 788265680 794240000 804684800 837532285 852640000 853808000 863852800 905930000 916588000 917843600 973874750 985332100 997247744 1004480000 1005856000 1067260000 1079816000 1145735000 1147304500 1159590400 1173232640 1174839808 1183360000 1231665125 1246559680 1257320000 1261225088 1340051656 1349770000 1366092800 1434130625 1449488000 1466540800 1468549760 1558199600 1576531360 1675064570 1705280000 1707616000 1727705600 1811860000 1833176000 1835687200 1947749500 1970664200 1994495488 2008960000 2011712000 2134520000 2159632000 2291470000 2294609000 2319180800 2349679616 2434686875 2463330250 2493119360 2514640000 2522450176 2680103312 2699540000 2868261250 2898976000 2933081600 2937099520 3116399200 3153062720 3350129140 3410560000 3415232000 3455411200 3623720000 3666352000 3671374400 3895499000 3941328400 3988990976 4023424000 4187661425 4269040000 4319264000 4582940000 4589218000 4869373750 4926660500 4986238720 5029280000 5044900352 5360206624 5399080000 5736522500 5797952000 5866163200 5874199040 6158325625 6232798400 6306125440 6700258280 6830464000 7247440000 7332704000 7342748800 7790998000 7882656800 8375322850 8538080000 8638528000 9165880000 9178436000 9738747500 9853321000 9972477440 10058560000 10089800704 10720413248 10798160000 11473045000 11595904000 11748398080 12316651250 12465596800 12612250880 13400516560 14494880000 14665408000 14685497600 15581996000 15765313600 16750645700 17076160000 17277056000 18331760000 18356872000 19477495000 19706642000 19944954880 20117120000 20938307125 21440826496 21596320000 22946090000 24633302500 24931193600 25224501760 26801033120 28989760000 29330816000 29370995200 31163992000 31530627200 33501291400 34152320000 36663520000 36713744000 38954990000 39413284000 41876614250 42881652992 43192640000 45892180000 49266605000 49862387200 50449003520 53602066240 57979520000 58741990400 62327984000 63061254400 67002582800 73327040000 73427488000 77909980000 78826568000 83753228500 85763305984 86385280000 91784360000 98533210000 99724774400 104691535625 107204132480 124655968000 126122508800 134005165600 146654080000 146854976000 155819960000 157653136000 167506457000 171526611968 183568720000 197066420000 209383071250 214408264960 249311936000 252245017600 268010331200 293709952000 311639920000 315306272000 335012914000 367137440000 394132840000 418766142500 428816529920 498623872000 536020662400 623279840000 630612544000 670025828000 734274880000 788265680000 837532285000 857633059840 1072041324800 1246559680000 1261225088000 1340051656000 1468549760000 1576531360000 1675064570000 2144082649600 2493119360000 2680103312000 3153062720000 3350129140000 4288165299200 5360206624000 6306125440000 6700258280000 10720413248000 13400516560000 21440826496000 26801033120000 53602066240000 107204132480000
- Sum of all divisors σ(n): 294324871544154
- Sum of proper divisors (its aliquot sum) s(n): 187120739064154
- 107204132480000 is an abundant number, because the sum of its proper divisors (187120739064154) is greater than itself. Its abundance is 79916606584154
Bases of 107204132480000
- Binary: 110000110000000011010000011110000100100000000002
- Hexadecimal: 0x6180683C2400
- Base-36: 1200WCJSOW
Squares and roots of 107204132480000
- 107204132480000 squared (1072041324800002) is 11492726020789390950400000000
- 107204132480000 cubed (1072041324800003) is 1232067722889049101625194708992000000000000
-
The
square root of 107204132480000 is 10353942.8470510691 -
The
cube root of 107204132480000 is 47504.7651699599
Scales and comparisons
How big is 107204132480000?- 107,204,132,480,000 seconds is equal to 3,408,759 years, 42 weeks, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 107,204,132,480,000 would take you about eight million, five hundred twenty-one thousand, eight hundred ninety-nine 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 107204132480000 cubic inches would be around 3958.7 feet tall.
Recreational maths with 107204132480000
- 107204132480000 backwards is 000084231402701
- 107204132480000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107204132480000's digits is 32
- More coming soon!
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