97138832128000
97,138,832,128,000 is an even composite number composed of seven prime numbers multiplied together.
97138832128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 97138832128000:
211 × 53 × 13 × 19 × 41 × 89 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 19 × 41 × 89 × 421)See below for interesting mathematical facts about the number 97138832128000 from the Numbermatics database.
Names of 97138832128000
- Cardinal: 97138832128000 can be written as Ninety-seven trillion, one hundred thirty-eight billion, eight hundred thirty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.7138832128 × 1013
Factors of 97138832128000
Divisors of 97138832128000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 41 50 52 64 65 76 80 82 89 95 100 104 125 128 130 152 160 164 178 190 200 205 208 247 250 256 260 304 320 325 328 356 380 400 410 416 421 445 475 494 500 512 520 533 608 640 650 656 712 760 779 800 820 832 842 890 950 988 1000 1024 1025 1040 1066 1157 1216 1235 1280 1300 1312 1424 1520 1558 1600 1625 1640 1664 1684 1691 1780 1900 1976 2000 2048 2050 2080 2105 2132 2225 2314 2375 2432 2470 2560 2600 2624 2665 2848 3040 3116 3200 3250 3280 3328 3368 3382 3560 3649 3800 3895 3952 4000 4100 4160 4210 4264 4450 4628 4750 4864 4940 5120 5125 5200 5248 5330 5473 5696 5785 6080 6175 6232 6400 6500 6560 6656 6736 6764 7120 7298 7600 7790 7904 7999 8000 8200 8320 8420 8455 8528 8900 9256 9500 9728 9880 10127 10240 10250 10400 10496 10525 10660 10946 11125 11392 11570 12160 12350 12464 12800 13000 13120 13312 13325 13472 13528 14240 14596 15200 15580 15808 15998 16000 16400 16640 16840 16910 17056 17261 17800 18245 18512 19000 19456 19475 19760 20254 20500 20800 20992 21050 21320 21892 21983 22250 22784 23140 24320 24700 24928 25600 26000 26240 26624 26650 26944 27056 27365 28480 28925 29192 30400 30875 31160 31616 31996 32000 32800 33280 33680 33820 34112 34522 35600 36490 37024 37469 38000 38912 38950 39520 39995 40508 41000 41600 41984 42100 42275 42640 43784 43966 44500 45568 46280 47437 48640 49400 49856 50635 51200 52000 52480 52625 53300 53888 54112 54730 56960 57850 58384 60800 61750 62320 63232 63992 64000 65600 66560 66625 67360 67640 68224 69044 69331 71200 72980 74048 74938 76000 77900 79040 79990 81016 82000 83200 83968 84200 84550 85280 86305 87568 87932 89000 91136 91225 92560 94874 97280 97375 98800 99712 101270 103987 104000 104960 105250 106600 107776 108224 109460 109915 113920 115700 116768 121600 123500 124640 126464 127984 128000 131200 133120 133250 134720 135280 136448 136825 138088 138662 142400 144625 145960 148096 149876 152000 155800 158080 159980 162032 164000 166400 168400 169100 170560 172610 175136 175864 178000 182272 182450 185120 187345 189748 194560 194750 197600 199424 199975 202540 207974 208000 209920 210500 211375 213200 215552 216448 218920 219830 224393 227840 231400 233536 237185 243200 247000 249280 252928 253175 255968 256000 262400 266500 269440 270560 272896 273650 276176 277324 284800 289250 291920 296192 299752 304000 311600 316160 319960 324064 327959 328000 332800 336800 338200 341120 345220 346655 350272 351728 356000 364900 370240 374690 379496 389500 395200 398848 399950 405080 415948 416000 419840 421000 422750 426400 431104 431525 432896 437840 439660 448786 455680 456125 462800 467072 474370 486400 487097 494000 498560 505856 506350 511936 519935 524800 533000 538880 541120 545792 547300 549575 552352 554648 569600 578500 583840 592384 599504 608000 623200 632320 639920 648128 655918 656000 665600 673600 676400 682240 684125 690440 693310 700544 703456 711911 712000 729800 740480 749380 758992 779000 790400 797696 799900 810160 831896 832000 842000 845500 852800 862208 863050 865792 875680 879320 897572 901303 911360 912250 925600 934144 936725 948740 972800 974194 988000 997120 999875 1012700 1023872 1039870 1049600 1066000 1077760 1082240 1091584 1094600 1099150 1104704 1109296 1121965 1139200 1157000 1167680 1184768 1185925 1199008 1216000 1246400 1264640 1265875 1279840 1296256 1311836 1312000 1347200 1352800 1364480 1368250 1380880 1386620 1401088 1406912 1423822 1424000 1459600 1480960 1498760 1517984 1536229 1558000 1580800 1595392 1599800 1620320 1639795 1663792 1664000 1684000 1691000 1705600 1726100 1731584 1733275 1751360 1758640 1795144 1802606 1824500 1851200 1868288 1873450 1897480 1948388 1976000 1994240 1999750 2025400 2047744 2079740 2099200 2132000 2155520 2157625 2164480 2189200 2198300 2209408 2218592 2243930 2278400 2314000 2335360 2369536 2371850 2398016 2432000 2435485 2492800 2529280 2531750 2559680 2592512 2599675 2623672 2624000 2694400 2705600 2728960 2736500 2747875 2761760 2773240 2802176 2813824 2847644 2848000 2919200 2961920 2997520 3035968 3072458 3116000 3161600 3199600 3240640 3279590 3327584 3328000 3368000 3382000 3411200 3452200 3463168 3466550 3502720 3517280 3559555 3590288 3605212 3649000 3702400 3736576 3746900 3794960 3896776 3952000 3988480 3999500 4050800 4095488 4159480 4263467 4264000 4311040 4315250 4328960 4378400 4396600 4418816 4437184 4487860 4506515 4556800 4628000 4670720 4683625 4743700 4796032 4864000 4870970 4985600 5063500 5119360 5185024 5199350 5247344 5248000 5388800 5411200 5457920 5473000 5495750 5523520 5546480 5604352 5609825 5627648 5695288 5696000 5838400 5923840 5929625 5995040 6071936 6144916 6232000 6323200 6399200 6481280 6559180 6655168 6736000 6764000 6822400 6904400 6933100 7005440 7034560 7119110 7180576 7210424 7298000 7404800 7473152 7493800 7589920 7681145 7793552 7904000 7976960 7999000 8101600 8190976 8198975 8318960 8526934 8528000 8630500 8657920 8666375 8756800 8793200 8837632 8874368 8975720 9013030 9254843 9256000 9341440 9367250 9487400 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231371075 233506808 233536000 239801600 242877440 243548500 245796640 249393664 255968000 259251200 262367200 266206720 272861888 276176000 277324000 280217600 281382400 284764400 287223040 288416960 291883510 296154976 296192000 299752000 303596800 307245800 311742080 319535632 324064000 327959000 332758400 335830016 341077360 350272000 351728000 354974720 355955500 359028800 360521200 364498432 370193720 379448563 379496000 383682560 384057250 389677600 393274624 399419540 409548800 415948000 419787520 426346700 432896000 441881600 443718400 448786000 450651500 455623040 459556864 461467136 462742150 467013616 467072000 479603200 485754880 487097000 491593280 498787328 499274425 511936000 518502400 524734400 532413440 532933375 545723776 552352000 554648000 562764800 569528800 574446080 576833920 583767020 592309952 599504000 607193600 614491600 623484160 639071264 648128000 655918000 665516800 671660032 682154720 700544000 703456000 709949440 711911000 718057600 721042400 728996864 729708775 740387440 758897126 758992000 768114500 779355200 786549248 798839080 831896000 839575040 852693400 883763200 887436800 897572000 901303000 911246080 922934272 925484300 934027232 934144000 959206400 974194000 983186560 997574656 998548850 1023872000 1049468800 1064826880 1065866750 1091447552 1104704000 1109296000 1125529600 1139057600 1148892160 1153667840 1156855375 1167534040 1184619904 1199008000 1214387200 1228983200 1246968320 1278142528 1296256000 1311836000 1331033600 1364309440 1401088000 1406912000 1423822000 1436115200 1442084800 1457993728 1459417550 1480774880 1517794252 1517984000 1536229000 1558710400 1573098496 1597678160 1663792000 1679150080 1705386800 1774873600 1795144000 1802606000 1822492160 1845868544 1850968600 1868054464 1897242815 1918412800 1948388000 1966373120 1997097700 2047744000 2098937600 2131733500 2182895104 2209408000 2218592000 2278115200 2297784320 2307335680 2313710750 2335068080 2369239808 2398016000 2428774400 2457966400 2493936640 2496372125 2556285056 2592512000 2623672000 2662067200 2728618880 2813824000 2847644000 2872230400 2884169600 2918835100 2961549760 3035588504 3035968000 3072458000 3117420800 3146196992 3195356320 3327584000 3358300160 3410773600 3549747200 3590288000 3605212000 3644984320 3648543875 3701937200 3736108928 3794485630 3896776000 3932746240 3994195400 4197875200 4263467000 4365790208 4418816000 4437184000 4556230400 4614671360 4627421500 4670136160 4738479616 4796032000 4915932800 4987873280 4992744250 5112570112 5247344000 5324134400 5457237760 5627648000 5695288000 5744460800 5768339200 5837670200 5923099520 6071177008 6071936000 6144916000 6234841600 6390712640 6655168000 6821547200 7180576000 7210424000 7289968640 7297087750 7403874400 7472217856 7588971260 7793552000 7865492480 7988390800 8395750400 8526934000 8731580416 8874368000 9112460800 9229342720 9254843000 9340272320 9476959232 9486214075 9592064000 9831865600 9985488500 10225140224 10494688000 10914475520 11390576000 11488921600 11536678400 11675340400 11846199040 12142354016 12143872000 12289832000 12469683200 12781425280 13310336000 13643094400 14361152000 14420848000 14594175500 14807748800 14944435712 15177942520 15587104000 15730984960 15976781600 16791500800 17053868000 17748736000 18224921600 18509686000 18680544640 18953918464 18972428150 19663731200 19970977000 20450280448 20989376000 21828951040 22781152000 23073356800 23350680800 23692398080 24284708032 24579664000 24939366400 25562850560 26620672000 27286188800 28722304000 28841696000 29188351000 29615497600 29888871424 30355885040 31174208000 31953563200 34107736000 36449843200 37019372000 37361089280 37944856300 39327462400 39941954000 40900560896 41978752000 43657902080 45562304000 46146713600 46701361600 47384796160 47431070375 48569416064 49159328000 51125701120 54572377600 57444608000 57683392000 58376702000 59230995200 59777742848 60711770080 62348416000 63907126400 68215472000 74038744000 74722178560 75889712600 78654924800 79883908000 83957504000 91124608000 93402723200 94769592320 94862140750 97138832128 98318656000 102251402240 109144755200 115366784000 116753404000 118461990400 121423540160 124696832000 127814252800 136430944000 148077488000 149444357120 151779425200 159767816000 182249216000 186805446400 189724281500 194277664256 196637312000 204502804480 218289510400 230733568000 233506808000 236923980800 242847080320 255628505600 272861888000 296154976000 298888714240 303558850400 319535632000 373610892800 379448563000 388555328512 393274624000 467013616000 473847961600 485694160640 511257011200 545723776000 592309952000 607117700800 639071264000 747221785600 758897126000 777110657024 934027232000 971388321280 1022514022400 1091447552000 1184619904000 1214235401600 1278142528000 1494443571200 1517794252000 1868054464000 1942776642560 2369239808000 2428470803200 2556285056000 3035588504000 3736108928000 3885553285120 4856941606400 5112570112000 6071177008000 7472217856000 9713883212800 12142354016000 19427766425600 24284708032000 48569416064000 97138832128000
- Sum of all divisors σ(n): 285325631136000
- Sum of proper divisors (its aliquot sum) s(n): 188186799008000
- 97138832128000 is an abundant number, because the sum of its proper divisors (188186799008000) is greater than itself. Its abundance is 91047966880000
Bases of 97138832128000
- Binary: 101100001011000111001011001010100111000000000002
- Hexadecimal: 0x5858E5953800
- Base-36: YFKYOLJWG
Squares and roots of 97138832128000
- 97138832128000 squared (971388321280002) is 9435952707191765008384000000
- 97138832128000 cubed (971388321280003) is 916597425991647999453437888561152000000000
-
The
square root of 97138832128000 is 9855903.4151111687 -
The
cube root of 97138832128000 is 45968.9191631195
Scales and comparisons
How big is 97138832128000?- 97,138,832,128,000 seconds is equal to 3,088,714 years, 20 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 97,138,832,128,000 would take you about seven million, seven hundred twenty-one thousand, seven hundred eighty-five 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 97138832128000 cubic inches would be around 3830.7 feet tall.
Recreational maths with 97138832128000
- 97138832128000 backwards is 00082123883179
- 97138832128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 97138832128000's digits is 52
- More coming soon!
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The information we have on file for 97138832128000 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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