137338640292672
137,338,640,292,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 137338640292672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2800 divisors.
137338640292672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred divisors.
Prime factorization of 137338640292672:
26 × 33 × 74 × 134 × 19 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 19 × 61)See below for interesting mathematical facts about the number 137338640292672 from the Numbermatics database.
Names of 137338640292672
- Cardinal: 137338640292672 can be written as One hundred thirty-seven trillion, three hundred thirty-eight billion, six hundred forty million, two hundred ninety-two thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37338640292672 × 1014
Factors of 137338640292672
Divisors of 137338640292672
- Number of divisors d(n): 2800
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 27 28 32 36 38 39 42 48 49 52 54 56 57 61 63 64 72 76 78 84 91 96 98 104 108 112 114 117 122 126 133 144 147 152 156 168 169 171 182 183 189 192 196 208 216 224 228 234 244 247 252 266 273 288 294 304 312 336 338 342 343 351 364 366 378 392 399 416 427 432 441 448 456 468 488 494 504 507 513 532 546 549 576 588 608 624 637 672 676 684 686 702 728 732 741 756 784 793 798 819 832 854 864 882 912 931 936 976 988 1008 1014 1026 1029 1064 1092 1098 1159 1176 1183 1197 1216 1248 1274 1281 1323 1344 1352 1368 1372 1404 1456 1464 1482 1512 1521 1568 1586 1596 1638 1647 1708 1728 1729 1764 1824 1862 1872 1911 1952 1976 2016 2028 2052 2058 2128 2184 2196 2197 2223 2318 2352 2366 2379 2394 2401 2457 2496 2548 2562 2646 2704 2736 2744 2793 2808 2912 2928 2964 2989 3024 3042 3087 3136 3172 3192 3211 3276 3294 3416 3458 3477 3528 3549 3591 3648 3724 3744 3822 3843 3904 3952 4032 4056 4104 4116 4256 4368 4392 4394 4446 4459 4563 4636 4704 4732 4758 4788 4802 4914 5096 5124 5187 5292 5408 5472 5488 5551 5586 5616 5733 5824 5856 5928 5978 6048 6084 6174 6344 6384 6422 6517 6552 6588 6591 6669 6832 6916 6954 7056 7098 7137 7182 7203 7448 7488 7644 7686 7904 8112 8113 8208 8232 8281 8379 8512 8736 8784 8788 8892 8918 8967 9126 9261 9272 9408 9464 9516 9576 9604 9633 9828 10192 10248 10309 10374 10431 10584 10647 10816 10944 10976 11102 11172 11232 11466 11529 11712 11856 11956 12096 12103 12168 12348 12688 12768 12844 13034 13104 13176 13182 13338 13377 13664 13832 13908 14112 14196 14274 14364 14406 14896 15067 15288 15372 15379 15561 15808 16224 16226 16416 16464 16562 16653 16758 17199 17472 17568 17576 17784 17836 17934 18252 18522 18544 18928 19032 19152 19208 19266 19551 19656 19773 20384 20496 20618 20748 20862 20923 21168 21294 21411 21609 21952 22204 22344 22464 22477 22932 23058 23712 23912 24206 24336 24339 24696 24843 25137 25376 25536 25688 26068 26208 26352 26364 26676 26754 26901 27328 27664 27816 28224 28392 28548 28561 28728 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11347487424 11354054257 11487005712 11583893412 11726318331 11912450368 11977903392 12227443046 12293111376 12370621536 12512631222 12549217863 12697729317 12899280576 12976062008 13166392512 13238735328 13322207808 13401506664 13475141316 13974220624 14257099584 14300149968 14341963272 14432391792 14511690648 14598069759 14812191576 14829785152 15049160672 15316007616 15400161504 15445191216 15627974544 15635091108 15720998202 16134708681 16390815168 16584789312 16683508296 16732290484 16928218944 16930305756 17375840118 17868675552 17966855088 18341164569 18439667064 19066866624 19122617696 19243189056 19348920864 19464093012 19749588768 19858102992 20102259996 20593588288 20837299392 20846788144 20961330936 21073905216 21385649376 21512944908 21648587688 22244677728 22573741008 22708108514 22974011424 23167786824 23452636662 23581497303 23955806784 24454886092 24586222752 24741243072 25025262444 25098435726 25395458634 25952124016 26477470656 26803013328 26950282632 27948441248 28600299936 28683926544 28864783584 29023381296 29196139518 29624383152 30098321344 30800323008 30890382432 31255949088 31270182216 31441996404 32269417362 33367016592 33464580968 33860611512 34062162771 34751680236 35178954993 35737351104 35933710176 36682329138 36879334128 37647653589 38245235392 38697841728 38928186024 39499177536 39716205984 40204519992 41693576288 41922661872 42771298752 43025889816 43297175376 43794209277 44489355456 45147482016 45416217028 45948022848 46335573648 46905273324 47162994606 48909772184 49172445504 50050524888 50196871452 50790917268 51904248032 53606026656 53900565264 55023493707 55896882496 57200599872 57367853088 57729567168 58046762592 58392279036 59248766304 61780764864 62511898176 62540364432 62883992808 64538834724 66734033184 66929161936 67721223024 68124325542 69503360472 70357909986 71867420352 73364658276 73758668256 75295307178 77856372048 79432411968 79478379799 80409039984 83387152576 83845323744 86051779632 86594350752 87588418554 90294964032 90832434056 92671147296 93810546648 94325989212 97819544368 100101049776 100393742904 101581834536 102186488313 103808496064 107212053312 107801130528 110046987414 112942960767 114735706176 116093525184 116784558072 118497532608 125080728864 125767985616 129077669448 133468066368 133858323872 135442446048 136248651084 139006720944 140715819972 146729316552 147517336512 150590614356 155712744096 158956759598 160818079968 165070481121 167690647488 172103559264 173188701504 175176837108 181664868112 185342294592 187621093296 188651978424 195639088736 200202099552 200787485808 203163669072 204372976626 215602261056 220093974828 225885921534 233569116144 238435139397 250161457728 251535971232 258155338896 267716647744 270884892096 272497302168 278013441888 281431639944 293458633104 301181228712 306559464939 311425488192 317913519196 321636159936 330140962242 344207118528 350353674216 363329736224 375242186592 377303956848 391278177472 400404199104 401574971616 406327338144 408745953252 440187949656 451771843068 467138232288 476870278794 503071942464 516310677792 544994604336 556026883776 562863279888 586917266208 602362457424 613118929878 635827038392 660281924484 700707348432 715305418191 726659472448 750484373184 754607913696 803149943232 812654676288 817491906504 880375899312 903543686136 934276464576 953740557588 1032621355584 1089989208672 1125726559776 1173834532416 1204724914848 1226237859756 1271654076784 1320563848968 1401414696864 1430610836382 1509215827392 1634983813008 1760751798624 1807087372272 1907481115176 2145916254573 2179978417344 2251453119552 2409449829696 2452475719512 2543308153568 2641127697936 2802829393728 2861221672764 3269967626016 3521503597248 3614174744544 3814962230352 4291832509146 4904951439024 5086616307136 5282255395872 5722443345528 6539935252032 7228349489088 7629924460704 8583665018292 9809902878048 10564510791744 11444886691056 15259848921408 17167330036584 19619805756096 22889773382112 34334660073168 45779546764224 68669320146336 137338640292672
- Sum of all divisors σ(n): 545924835707200
- Sum of proper divisors (its aliquot sum) s(n): 408586195414528
- 137338640292672 is an abundant number, because the sum of its proper divisors (408586195414528) is greater than itself. Its abundance is 271247555121856
Bases of 137338640292672
- Binary: 111110011101000101001001101111001011011010000002
- Hexadecimal: 0x7CE8A4DE5B40
- Base-36: 1COKI0G9C0
Squares and roots of 137338640292672
- 137338640292672 squared (1373386402926722) is 18861902117439948977816899584
- 137338640292672 cubed (1373386402926723) is 2590467990142673490798147905118753395048448
-
The
square root of 137338640292672 is 11719156.9787537191 -
The
cube root of 137338640292672 is 51593.8077586083
Scales and comparisons
How big is 137338640292672?- 137,338,640,292,672 seconds is equal to 4,366,943 years, 49 weeks, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,338,640,292,672 would take you about ten million, nine hundred seventeen thousand, three hundred fifty-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 137338640292672 cubic inches would be around 4299.5 feet tall.
Recreational maths with 137338640292672
- 137338640292672 backwards is 276292046833731
- 137338640292672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137338640292672's digits is 63
- More coming soon!
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"Number 137338640292672 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 137338640292672 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/137338640292672/
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The information we have on file for 137338640292672 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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