107172138327072000
107,172,138,327,072,000 is an even composite number composed of eight prime numbers multiplied together.
107172138327072000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 107172138327072000:
28 × 3 × 53 × 7 × 13 × 457 × 1061 × 25301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 13 × 457 × 1061 × 25301)See below for interesting mathematical facts about the number 107172138327072000 from the Numbermatics database.
Names of 107172138327072000
- Cardinal: 107172138327072000 can be written as One hundred seven quadrillion, one hundred seventy-two trillion, one hundred thirty-eight billion, three hundred twenty-seven million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.07172138327072 × 1017
Factors of 107172138327072000
Divisors of 107172138327072000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 125 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 250 256 260 273 280 300 312 320 325 336 350 364 375 384 390 400 416 420 448 455 457 480 500 520 525 546 560 600 624 640 650 672 700 728 750 768 780 800 832 840 875 896 910 914 960 975 1000 1040 1050 1061 1092 1120 1200 1248 1280 1300 1344 1365 1371 1400 1456 1500 1560 1600 1625 1664 1680 1750 1792 1820 1828 1920 1950 2000 2080 2100 2122 2184 2240 2275 2285 2400 2496 2600 2625 2688 2730 2742 2800 2912 3000 3120 3183 3199 3200 3250 3328 3360 3500 3640 3656 3840 3900 4000 4160 4200 4244 4368 4480 4550 4570 4800 4875 4992 5200 5250 5305 5376 5460 5484 5600 5824 5941 6000 6240 6366 6398 6400 6500 6720 6825 6855 7000 7280 7312 7427 7800 8000 8320 8400 8488 8736 8960 9100 9140 9597 9600 9750 9984 10400 10500 10610 10920 10968 11200 11375 11425 11648 11882 12000 12480 12732 12796 13000 13440 13650 13710 13793 14000 14560 14624 14854 15600 15915 15995 16000 16640 16800 16976 17472 17823 18200 18280 19194 19200 19500 20800 21000 21220 21840 21936 22281 22400 22750 22850 23296 23764 24000 24960 25301 25464 25592 26000 26525 26880 27300 27420 27586 28000 29120 29248 29705 29708 31200 31830 31990 32000 33600 33952 34125 34275 34944 35646 36400 36560 37135 38388 39000 41379 41587 41600 42000 42440 43680 43872 44562 44800 45500 45700 47528 47985 48000 49920 50602 50928 51184 52000 53050 54600 54840 55172 56000 57125 58240 58496 59410 59416 62400 63660 63980 67200 67904 68250 68550 68965 69888 71292 72800 73120 74270 75903 76776 78000 79575 79975 82758 83174 83200 84000 84880 87360 87744 89115 89124 91000 91400 95056 95970 96000 96551 101204 101856 102368 104000 106100 109200 109680 110344 111405 112000 114250 116480 116992 118820 118832 124761 124800 126505 127320 127960 132625 134400 135808 136500 137100 137930 142584 145600 146240 148525 148540 151806 153552 156000 159150 159950 165516 166348 168000 169760 171375 174720 175488 177107 178230 178248 182000 182800 185675 190112 191940 193102 202408 203712 204736 206895 207935 208000 212200 218400 219360 220688 222810 224000 228500 237640 237664 239925 249522 249600 253010 254640 255920 265250 271616 273000 274200 275860 285168 289653 291200 292480 297050 297080 303612 307104 312000 318300 319900 328913 331032 332696 336000 339520 342750 344825 349440 350976 354214 356460 356496 364000 365600 371350 379515 380224 383880 386204 397875 399875 404816 407424 409472 413790 415870 416000 424400 436800 438720 441376 445575 445620 457000 475280 475328 479850 482755 484877 499044 506020 509280 511840 530500 531321 546000 548400 551720 557025 570336 579306 582400 584960 594100 594160 607224 614208 623805 624000 632525 636600 639800 657826 662064 665392 672000 679040 685500 689650 708428 712920 712992 728000 731200 742625 742700 759030 760448 767760 772408 795750 799750 809632 814848 818944 827580 831740 848800 873600 877440 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14657021106000 14721447572400 15310305475296 15634155846400 15702877410560 15948234870100 16488021281088 16745646613605 16750881264000 16835082992000 17175022167800 17862023054512 18039410592000 18401809465500 19137881844120 19542694808000 19628596763200 19935293587625 20202099590400 20413740633728 20610026601360 21468777709750 21984028374784 22327528818140 23451233769600 23554316115840 23922352305150 24535745954000 25252624488000 25517175792160 25762533251700 26793034581768 27480035468480 27909411022675 29314042212000 29442895144800 30620610950592 31896469740200 32203166564625 32976042562176 33491293227210 33501762528000 33670165984000 34350044335600 35724046109024 36803618931000 38275763688240 39085389616000 39257193526400 39870587175250 40827481267456 41220053202720 42937555419500 44655057636280 46902467539200 47108632231680 47844704610300 49071491908000 50505248976000 51034351584320 51525066503400 53586069163536 54960070936960 55818822045350 58628084424000 58885790289600 59805880762875 61241221901184 63792939480400 64406333129250 65952085124352 66982586454420 68700088671200 71448092218048 73607237862000 76551527376480 78170779232000 78514387052800 79741174350500 82440106405440 83728233068025 85875110839000 89310115272560 95689409220600 98142983816000 101010497952000 102068703168640 103050133006800 107172138327072 109920141873920 111637644090700 117256168848000 117771580579200 119611761525750 122482443802368 127585878960800 128812666258500 133965172908840 137400177342400 139547055113375 142896184436096 147214475724000 153103054752960 159482348701000 164880212810880 167456466136050 171750221678000 178620230545120 191378818441200 196285967632000 204137406337280 206100266013600 214344276654144 223275288181400 234512337696000 235543161158400 239223523051500 255171757921600 257625332517000 267930345817680 274800354684800 279094110226750 285792368872192 294428951448000 306206109505920 318964697402000 329760425621760 334912932272100 343500443356000 357240461090240 382757636882400 392571935264000 412200532027200 418641165340125 428688553308288 446550576362800 478447046103000 510343515843200 515250665034000 535860691635360 549600709369600 558188220453500 588857902896000 612412219011840 637929394804000 669825864544200 687000886712000 714480922180480 765515273764800 824401064054400 837282330680250 857377106616576 893101152725600 956894092206000 1020687031686400 1030501330068000 1071721383270720 1116376440907000 1177715805792000 1275858789608000 1339651729088400 1374001773424000 1428961844360960 1531030547529600 1648802128108800 1674564661360500 1786202305451200 1913788184412000 2061002660136000 2143442766541440 2232752881814000 2551717579216000 2679303458176800 2748003546848000 3062061095059200 3349129322721000 3572404610902400 3827576368824000 4122005320272000 4286885533082880 4465505763628000 5103435158432000 5358606916353600 6698258645442000 7144809221804800 7655152737648000 8244010640544000 8931011527256000 10717213832707200 13396517290884000 15310305475296000 17862023054512000 21434427665414400 26793034581768000 35724046109024000 53586069163536000 107172138327072000
- Sum of all divisors σ(n): 439509592949446656
- Sum of proper divisors (its aliquot sum) s(n): 332337454622374656
- 107172138327072000 is an abundant number, because the sum of its proper divisors (332337454622374656) is greater than itself. Its abundance is 225165316295302656
Bases of 107172138327072000
- Binary: 1011111001100000001111101111100101100110111011101000000002
- Hexadecimal: 0x17CC07DF2CDDD00
- Base-36: TB9CONTBSAO
Squares and roots of 107172138327072000
- 107172138327072000 squared (1071721383270720002) is 11485867233597055146848093184000000
- 107172138327072000 cubed (1071721383270720003) is 1230964951965447398418670128742406925877248000000000
-
The
square root of 107172138327072000 is 327371560.0461836087 -
The
cube root of 107172138327072000 is 475000.3890332135
Scales and comparisons
How big is 107172138327072000?- 107,172,138,327,072,000 seconds is equal to 3,407,742,493 years, 31 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 107,172,138,327,072,000 would take you about ten billion, two hundred twenty-three million, two hundred twenty-seven thousand, four hundred eighty 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 107172138327072000 cubic inches would be around 39583.4 feet tall.
Recreational maths with 107172138327072000
- 107172138327072000 backwards is 000270723831271701
- The number of decimal digits it has is: 18
- The sum of 107172138327072000's digits is 51
- More coming soon!
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"Number 107172138327072000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 107172138327072000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/107172138327072000/
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The information we have on file for 107172138327072000 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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