106937048064
106,937,048,064 is an even composite number composed of seven prime numbers multiplied together.
106937048064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 106937048064:
210 × 3 × 72 × 11 × 17 × 29 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 17 × 29 × 131)See below for interesting mathematical facts about the number 106937048064 from the Numbermatics database.
Names of 106937048064
- Cardinal: 106937048064 can be written as One hundred six billion, nine hundred thirty-seven million, forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.06937048064 × 1011
Factors of 106937048064
Divisors of 106937048064
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 29 32 33 34 42 44 48 49 51 56 58 64 66 68 77 84 87 88 96 98 102 112 116 119 128 131 132 136 147 154 168 174 176 187 192 196 203 204 224 231 232 238 256 262 264 272 294 308 319 336 348 352 357 374 384 392 393 406 408 448 462 464 476 493 512 524 528 539 544 561 588 609 616 638 672 696 704 714 748 768 784 786 812 816 833 896 917 924 928 952 957 986 1024 1048 1056 1078 1088 1122 1176 1218 1232 1276 1309 1344 1392 1408 1421 1428 1441 1479 1496 1536 1568 1572 1617 1624 1632 1666 1792 1834 1848 1856 1904 1914 1972 2096 2112 2156 2176 2227 2233 2244 2352 2436 2464 2499 2552 2618 2688 2751 2784 2816 2842 2856 2882 2958 2992 3072 3136 3144 3234 3248 3264 3332 3451 3584 3668 3696 3712 3799 3808 3828 3927 3944 4192 4224 4263 4312 4323 4352 4454 4466 4488 4704 4872 4928 4998 5104 5236 5376 5423 5502 5568 5632 5684 5712 5764 5916 5984 6272 6288 6419 6468 6496 6528 6664 6681 6699 6902 7168 7336 7392 7424 7598 7616 7656 7854 7888 8384 8448 8526 8624 8646 8704 8908 8932 8976 9163 9408 9744 9856 9996 10087 10208 10353 10472 10752 10846 11004 11136 11264 11368 11397 11424 11528 11832 11968 12544 12576 12838 12936 12992 13056 13328 13362 13398 13804 14672 14784 14848 15196 15232 15312 15589 15631 15708 15776 16269 16768 16896 17052 17248 17292 17408 17816 17864 17952 18326 18816 19257 19488 19712 19992 20174 20416 20706 20944 21504 21692 22008 22272 22736 22794 22848 23056 23664 23936 24157 24497 25088 25152 25676 25872 25984 26112 26593 26656 26724 26796 27489 27608 29344 29568 29696 30261 30392 30464 30624 31178 31262 31416 31552 32538 33536 33792 34104 34496 34584 35632 35728 35904 36652 37632 37961 38514 38976 39424 39984 40348 40832 41412 41789 41888 43384 44016 44544 45472 45588 45696 46112 46767 46893 47328 47872 48314 48994 50176 50304 51352 51744 51968 52224 53186 53312 53448 53592 54978 55216 58688 59136 60522 60784 60928 61248 62356 62524 62832 63104 64583 65076 67072 68208 68992 69168 70609 71264 71456 71808 72471 73304 73491 75264 75922 77028 77952 78848 79779 79968 80696 81664 82824 83578 83776 86768 88032 89088 90944 91176 91392 92224 93534 93786 94656 95744 96628 97988 100608 102704 103488 103936 106372 106624 106896 107184 109123 109956 110432 113883 117376 118272 121044 121568 121856 122496 124712 125048 125367 125664 126208 129166 130152 134144 136416 137984 138336 141218 142528 142912 143616 144942 146608 146982 150528 151844 154056 155904 159558 159936 161392 163328 165648 167156 167552 171479 173536 176064 181888 182352 182784 184448 186151 187068 187572 189312 191488 193256 193749 195976 201216 205408 206976 207872 211827 212744 213248 213792 214368 218246 219912 220864 227766 234752 236544 242088 243136 244992 249424 250096 250734 251328 252416 258332 260304 265727 272832 275968 276672 282436 285056 285824 287232 289884 292523 293216 293964 303688 308112 311808 319116 319872 322784 326656 327369 331296 334312 335104 342958 347072 352128 363776 364704 365568 368896 372302 374136 375144 378624 386512 387498 391952 402432 410816 413952 423654 425488 426496 427584 428736 436492 439824 441728 452081 455532 469504 484176 486272 489984 498848 500192 501468 502656 504832 514437 516664 520608 531454 545664 551936 553344 558453 564872 570112 571648 574464 579768 585046 586432 587928 607376 616224 623616 638232 639744 645568 654738 662592 668624 670208 685916 694144 704256 710413 727552 729408 737792 744604 748272 750288 757248 773024 774996 783904 797181 821632 827904 847308 850976 852992 855168 857472 872984 877569 879648 883456 904162 911064 939008 968352 972544 979968 997696 1000384 1002936 1005312 1028874 1033328 1041216 1062908 1091328 1106688 1116906 1129744 1140224 1143296 1159536 1170092 1172864 1175856 1200353 1214752 1232448 1276464 1279488 1291136 1309476 1325184 1337248 1340416 1356243 1371832 1388288 1408512 1420826 1455104 1458816 1475584 1489208 1496544 1500576 1514496 1546048 1549992 1567808 1594362 1643264 1655808 1694616 1701952 1710336 1714944 1745968 1755138 1759296 1766912 1808324 1822128 1936704 1945088 1995392 2000768 2005872 2010624 2047661 2057748 2066656 2082432 2125816 2131239 2182656 2213376 2233812 2259488 2280448 2286592 2319072 2340184 2345728 2351712 2400706 2429504 2464896 2552928 2558976 2582272 2618952 2650368 2674496 2712486 2743664 2776576 2817024 2841652 2917632 2978416 2993088 3001152 3092096 3099984 3135616 3164567 3188724 3286528 3389232 3403904 3420672 3429888 3491936 3510276 3518592 3533824 3601059 3616648 3644256 3873408 3890176 3990784 4001536 4011744 4021248 4095322 4115496 4133312 4164864 4251632 4262478 4365312 4426752 4467624 4518976 4638144 4680368 4691456 4703424 4801412 4859008 4929792 4972891 5105856 5164544 5237904 5300736 5348992 5424972 5487328 5553152 5683304 5835264 5956832 5986176 6002304 6142983 6184192 6199968 6271232 6329134 6377448 6573056 6778464 6807808 6841344 6859776 6983872 7020552 7037184 7202118 7233296 7288512 7746816 7981568 8003072 8023488 8190644 8230992 8266624 8329728 8503264 8524956 8935248 9037952 9276288 9360736 9382912 9406848 9493701 9602824 9718016 9859584 9945782 10211712 10329088 10475808 10601472 10697984 10849944 10974656 11366608 11670528 11913664 11972352 12004608 12285966 12368384 12399936 12542464 12658268 12754896 13556928 13615616 13967744 14041104 14074368 14404236 14466592 14577024 14918673 15493632 15963136 16006144 16046976 16381288 16461984 16533248 16659456 17006528 17049912 17870496 18075904 18552576 18721472 18813696 18987402 19205648 19436032 19719168 19891564 20423424 20951616 21395968 21699888 21949312 22733216 23827328 23944704 24009216 24571932 24736768 24799872 25084928 25316536 25509792 27113856 27231232 27935488 28082208 28148736 28808472 28933184 29154048 29837346 30987264 32093952 32762576 32923968 33066496 34013056 34099824 34810237 35740992 36151808 37105152 37442944 37627392 37974804 38411296 38872064 39783128 40846848 41903232 42791936 43399776 43898624 45466432 47654656 47889408 48018432 49143864 49599744 50633072 51019584 54227712 55870976 56164416 57616944 57866368 58308096 59674692 64187904 65525152 65847936 66132992 68026112 68199648 69620474 71481984 72303616 74210304 74885888 75254784 75949608 76822592 79566256 81693696 83806464 86799552 87797248 90932864 95309312 98287728 99199488 101266144 102039168 104430711 108455424 111741952 112328832 115233888 115732736 116616192 119349384 128375808 131050304 131695872 136052224 136399296 139240948 142963968 149771776 151899216 153645184 159132512 167612928 173599104 175594496 181865728 190618624 196575456 198398976 202532288 204078336 208861422 216910848 224657664 230467776 231465472 238698768 262100608 263391744 272104448 272798592 278481896 285927936 299543552 303798432 307290368 318265024 335225856 347198208 363731456 393150912 405064576 408156672 417722844 449315328 460935552 462930944 477397536 524201216 526783488 545597184 556963792 571855872 607596864 614580736 636530048 694396416 727462912 786301824 810129152 816313344 835445688 898630656 921871104 954795072 1048402432 1091194368 1113927584 1215193728 1229161472 1273060096 1388792832 1572603648 1620258304 1670891376 1843742208 1909590144 2096804864 2182388736 2227855168 2430387456 2546120192 3145207296 3240516608 3341782752 3687484416 3819180288 4455710336 4860774912 5092240384 6290414592 6683565504 7638360576 8911420672 9721549824 13367131008 15276721152 17822841344 26734262016 35645682688 53468524032 106937048064
- Sum of all divisors σ(n): 399210197760
- Sum of proper divisors (its aliquot sum) s(n): 292273149696
- 106937048064 is an abundant number, because the sum of its proper divisors (292273149696) is greater than itself. Its abundance is 185336101632
Bases of 106937048064
- Binary: 11000111001011111000111011100000000002
- Hexadecimal: 0x18E5F1DC00
- Base-36: 1D4JK2DC
Squares and roots of 106937048064
- 106937048064 squared (1069370480642) is 11435532248642246148096
- 106937048064 cubed (1069370480643) is 1222882061710477875079860814086144
-
The
square root of 106937048064 is 327012.3056767131 -
The
cube root of 106937048064 is 4746.5281823559
Scales and comparisons
How big is 106937048064?- 106,937,048,064 seconds is equal to 3,400 years, 13 weeks, 6 days, 7 hours, 34 minutes, 24 seconds.
-
To count from 1 to 106,937,048,064 would take you about six thousand, eight hundred 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 106937048064 cubic inches would be around 395.5 feet tall.
Recreational maths with 106937048064
- 106937048064 backwards is 460840739601
- 106937048064 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106937048064's digits is 48
- 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 106937048064 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 106937048064 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/106937048064/
Chicago style:
Numbermatics. 2024. "Number 106937048064 - Facts about the integer". https://numbermatics.com/n/106937048064/
The information we have on file for 106937048064 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 106937048064, math, Factors of 106937048064, curriculum, school, college, exams, university, Prime factorization of 106937048064, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, nine hundred thirty-seven million, forty-eight thousand and sixty-four.