107157949971408
107,157,949,971,408 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107157949971408 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
107157949971408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 107157949971408:
24 × 34 × 72 × 29 × 41 × 73 × 19441
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 29 × 41 × 73 × 19441)See below for interesting mathematical facts about the number 107157949971408 from the Numbermatics database.
Names of 107157949971408
- Cardinal: 107157949971408 can be written as One hundred seven trillion, one hundred fifty-seven billion, nine hundred forty-nine million, nine hundred seventy-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.07157949971408 × 1014
Factors of 107157949971408
Divisors of 107157949971408
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 41 42 48 49 54 56 58 63 72 73 81 82 84 87 98 108 112 116 123 126 144 146 147 162 164 168 174 189 196 203 216 219 232 246 252 261 287 292 294 324 328 336 348 369 378 392 406 432 438 441 464 492 504 511 522 567 574 584 588 609 648 656 657 696 738 756 783 784 812 861 876 882 984 1008 1022 1044 1107 1134 1148 1168 1176 1189 1218 1296 1314 1323 1392 1421 1476 1512 1533 1566 1624 1722 1752 1764 1827 1968 1971 2009 2044 2088 2117 2214 2268 2296 2349 2352 2378 2436 2583 2628 2646 2842 2952 2993 3024 3066 3132 3248 3321 3444 3504 3528 3567 3577 3654 3942 3969 4018 4088 4176 4234 4263 4428 4536 4592 4599 4698 4756 4872 5166 5256 5292 5481 5684 5904 5913 5986 6027 6132 6264 6351 6642 6888 7056 7134 7154 7308 7749 7884 7938 8036 8176 8323 8468 8526 8856 8979 9072 9198 9396 9512 9744 10332 10512 10584 10701 10731 10962 11368 11826 11972 12054 12264 12528 12702 12789 13284 13776 13797 14268 14308 14616 14819 15498 15768 15876 16072 16443 16646 16936 17052 17712 17958 18081 18396 18792 19024 19053 19441 20664 20951 21168 21402 21462 21924 22736 23247 23652 23944 24108 24528 24969 25404 25578 26568 26937 27594 28536 28616 29232 29638 30996 31536 31752 32103 32144 32193 32886 33292 33872 34104 35916 36162 36792 37584 38106 38367 38882 41328 41391 41902 42804 42924 43848 44457 46494 47304 47888 48216 49938 50808 51156 53136 53874 54243 55188 57072 57159 57232 58261 58323 59276 61992 62853 63504 64206 64386 65772 66584 68208 71832 72324 73584 74907 76212 76734 77764 80811 82782 83804 85608 85848 86797 87696 88914 92988 94608 96309 96432 96579 99876 101616 102312 103733 107748 108486 110376 114318 115101 116522 116646 118552 123984 125706 128412 128772 131544 133168 133371 136087 143664 144648 146657 149814 152424 153468 155528 161622 162729 165564 167608 171216 171477 171696 173594 174783 174969 177828 185976 188559 192618 193158 199752 204624 207466 215496 216972 220752 224721 228636 230202 233044 233292 237104 242433 251412 256824 257544 260391 263088 266742 272174 289296 289737 293314 299628 304848 306936 311056 311199 323244 325458 331128 335216 342954 347188 349566 349938 355656 371952 377118 385236 386316 399504 400113 408261 414932 430992 433944 439971 449442 457272 460404 466088 466584 484866 502824 513648 515088 520782 524349 524907 533484 544348 563789 565677 579474 586628 599256 607579 613872 622398 646488 650916 662256 674163 685908 694376 699132 699876 711312 754236 770472 772632 781173 797081 800226 816522 829864 867888 879942 898884 914544 920808 932176 933168 933597 952609 969732 1005648 1041564 1048698 1049814 1066968 1088696 1127578 1131354 1158948 1173256 1198512 1200339 1215158 1224783 1244796 1292976 1301832 1319913 1348326 1371816 1388752 1398264 1399752 1419193 1508472 1540944 1545264 1562346 1573047 1574721 1594162 1600452 1633044 1659728 1691367 1697031 1759884 1797768 1822737 1841616 1867194 1905218 1939464 2083128 2097396 2099628 2133936 2177392 2255156 2262708 2317896 2343519 2346512 2391243 2400678 2430316 2449566 2489592 2603664 2639826 2696652 2743632 2796528 2799504 2800791 2838386 2857827 3016944 3124692 3146094 3149442 3188324 3200904 3266088 3382734 3394062 3519768 3595536 3645474 3674349 3734388 3810436 3878928 3946523 3959739 4166256 4194792 4199256 4253053 4257579 4510312 4525416 4635792 4687038 4719141 4782486 4801356 4860632 4899132 4979184 5074101 5279652 5393304 5468211 5579567 5601582 5676772 5715654 6249384 6292188 6298884 6376648 6401808 6532176 6765468 6788124 7030557 7039536 7173729 7290948 7348698 7468776 7620872 7893046 7919478 8389584 8398512 8402373 8506106 8515158 8573481 9020624 9050832 9374076 9438282 9564972 9602712 9721264 9798264 9934351 10148202 10559304 10786608 10936422 11023047 11159134 11203164 11353544 11431308 11839569 11879217 12498768 12584376 12597768 12753296 12759159 12772737 13530936 13576248 14061114 14347458 14581896 14697396 14937552 15222303 15241744 15786092 15838956 16404633 16738701 16804746 17012212 17030316 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15020738712 15186784293 15557193666 16133386024 16872610608 17106952422 17475203844 17779649904 17901428328 18122433616 18150059277 18852559812 19550802768 20249045724 20387737818 20742924888 21994653114 22531108068 22809269896 23300271792 23335790499 23623886678 24200079036 25136746416 25308915912 25660428633 26212805766 26669474856 26998727632 27183650424 29326204152 29957492304 30041477424 30373568586 30581606727 31114387332 32266772048 32991979671 34213904844 34950407688 35435830017 35802856656 36300118554 37705119624 40498091448 40775475636 41485849776 43989306228 45062216136 45560352879 45618539792 46671580998 47247773356 48400158072 50617831824 51320857266 52425611532 53338949712 54367300848 54450177831 58652408304 60747137172 61163213454 62228774664 65983959342 68427809688 69900815376 70871660034 72600237108 75410239248 76981285899 80996182896 81550951272 82683603373 87978612456 90124432272 91120705758 91744820181 93343161996 94495546712 96800316144 102641714532 104851223064 106307490051 108900355662 121494274344 122326426908 124457549328 131967918684 136681058637 136855619376 141743320068 145200474216 153962571798 163101902544 163350533493 165367206746 175957224912 182241411516 183489640362 186686323992 188991093424 205283429064 209702446128 212614980102 217800711324 230943857697 242988548688 244652853816 248050810119 263935837368 273362117274 283486640136 290400948432 307925143596 318922470153 326701066986 330734413492 364482823032 366979280724 373372647984 410566858128 425229960204 435601422648 461887715394 489305707632 496101620238 527871674736 546724234548 566973280272 615850287192 637844940306 653402133972 661468826984 728965646064 733958561448 744152430357 850459920408 871202845296 923775430788 956767410459 992203240476 1093448469096 1231700574384 1275689880612 1306804267944 1322937653968 1467917122896 1488304860714 1700919840816 1847550861576 1913534820918 1984406480952 2186896938192 2232457291071 2551379761224 2613608535888 2976609721428 3695101723152 3827069641836 3968812961904 4464914582142 5102759522448 5953219442856 6697371873213 7654139283672 8929829164284 11906438885712 13394743746426 15308278567344 17859658328568 26789487492852 35719316657136 53578974985704 107157949971408
- Sum of all divisors σ(n): 387583360108560
- Sum of proper divisors (its aliquot sum) s(n): 280425410137152
- 107157949971408 is an abundant number, because the sum of its proper divisors (280425410137152) is greater than itself. Its abundance is 173267460165744
Bases of 107157949971408
- Binary: 110000101110101101001111000101011111011110100002
- Hexadecimal: 0x6175A78AFBD0
- Base-36: 11ZFOKOD00
Squares and roots of 107157949971408
- 107157949971408 squared (1071579499714082) is 11482826242074779788017502464
- 107157949971408 cubed (1071579499714083) is 1230476119978620180871988024463192369549312
-
The
square root of 107157949971408 is 10351712.4173446783 -
The
cube root of 107157949971408 is 47497.9426582845
Scales and comparisons
How big is 107157949971408?- 107,157,949,971,408 seconds is equal to 3,407,291 years, 18 weeks, 14 hours, 16 minutes, 48 seconds.
-
To count from 1 to 107,157,949,971,408 would take you about eight million, five hundred eighteen thousand, two hundred twenty-eight 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 107157949971408 cubic inches would be around 3958.2 feet tall.
Recreational maths with 107157949971408
- 107157949971408 backwards is 804179949751701
- 107157949971408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107157949971408's digits is 72
- More coming soon!
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The information we have on file for 107157949971408 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 107157949971408, math, Factors of 107157949971408, curriculum, school, college, exams, university, Prime factorization of 107157949971408, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven trillion, one hundred fifty-seven billion, nine hundred forty-nine million, nine hundred seventy-one thousand, four hundred eight.