137442504094938
137,442,504,094,938 is an even composite number composed of six prime numbers multiplied together.
What does the number 137442504094938 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 324 divisors.
137442504094938 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 137442504094938:
2 × 32 × 72 × 232 × 5992 × 821
(2 × 3 × 3 × 7 × 7 × 23 × 23 × 599 × 599 × 821)See below for interesting mathematical facts about the number 137442504094938 from the Numbermatics database.
Names of 137442504094938
- Cardinal: 137442504094938 can be written as One hundred thirty-seven trillion, four hundred forty-two billion, five hundred four million, ninety-four thousand, nine hundred thirty-eight.
Scientific notation
- Scientific notation: 1.37442504094938 × 1014
Factors of 137442504094938
Divisors of 137442504094938
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 529 599 821 882 966 1058 1127 1198 1449 1587 1642 1797 2254 2463 2898 3174 3381 3594 3703 4193 4761 4926 5391 5747 6762 7389 7406 8386 9522 10143 10782 11109 11494 12579 13777 14778 17241 18883 20286 22218 25158 25921 27554 29351 33327 34482 37737 37766 40229 41331 51723 51842 56649 58702 66654 75474 77763 80458 82662 88053 96439 103446 113298 120687 123993 132181 155526 169947 176106 192878 233289 241374 247986 264159 264362 289317 316871 339894 358801 362061 396543 434309 466578 491779 528318 578634 633742 675073 717602 724122 793086 867951 868618 925267 950613 983558 1076403 1189629 1302927 1350146 1475337 1735902 1850534 1901226 2025219 2152806 2218097 2379258 2511607 2605854 2775801 2851839 2950674 3040163 3229209 3442453 3908781 4050438 4426011 4436194 5023214 5551602 5703678 6075657 6080326 6458418 6654291 6884906 7534821 7817562 8252423 8327403 8852022 9120489 10327359 11310917 12151314 13308582 15069642 15526679 16504846 16654806 17581249 18240978 19962873 20654718 21281141 22604463 22621834 24097171 24757269 27361467 30982077 31053358 33932751 35162498 39925746 42562282 45208926 46580037 48194342 49514538 52743747 54722934 57766961 61964154 63843423 67865502 72291513 74271807 79176419 93160074 101798253 105487494 115533922 127686846 139740111 144583026 148543614 158231241 158352838 173300883 189805729 191530269 203596506 216874539 237529257 260151091 279480222 294575621 316462482 346601766 379611458 383060538 404368727 433749078 475058514 519902649 520302182 554234933 569417187 589151242 712587771 780453273 808737454 883726863 1039805298 1108469866 1138834374 1213106181 1328640103 1425175542 1560906546 1662704799 1708251561 1767453726 1821057637 2062029347 2341359819 2426212362 2651180589 2657280206 3325409598 3416503122 3639318543 3642115274 3985920309 4124058694 4682719638 4988114397 5302361178 5463172911 6186088041 6775239283 7278637086 7971840618 9300480721 9976228794 10926345822 11957760927 12372176082 12747403459 13550478566 14434205429 16389518733 18558264123 18600961442 20325717849 23915521854 25494806918 27901442163 28868410858 32779037466 37116528246 38242210377 40651435698 43302616287 47426674981 55802884326 60977153547 76484420754 83704326489 86605232574 94853349962 114726631131 121954307094 129907848861 142280024943 155830503509 167408652978 229453262262 259815697722 284560049886 311661007018 331986724867 426840074829 467491510527 663973449734 853680149658 934983021054 995960174601 1090813524563 1402474531581 1991920349202 2181627049126 2804949063162 2987880523803 3272440573689 5975761047606 6544881147378 7635694671941 9817321721067 15271389343882 19634643442134 22907084015823 45814168031646 68721252047469 137442504094938
- Sum of all divisors σ(n): 363174788849418
- Sum of proper divisors (its aliquot sum) s(n): 225732284754480
- 137442504094938 is an abundant number, because the sum of its proper divisors (225732284754480) is greater than itself. Its abundance is 88289780659542
Bases of 137442504094938
- Binary: 111110100000000110100111010001000110100110110102
- Hexadecimal: 0x7D00D3A234DA
- Base-36: 1CPW7QA02I
Squares and roots of 137442504094938
- 137442504094938 squared (1374425040949382) is 18890441931887048898517223844
- 137442504094938 cubed (1374425040949383) is 2596349642578574221912141780575293573301672
-
The
square root of 137442504094938 is 11723587.5095867305 -
The
cube root of 137442504094938 is 51606.8106026195
Scales and comparisons
How big is 137442504094938?- 137,442,504,094,938 seconds is equal to 4,370,246 years, 25 weeks, 4 days, 7 hours, 42 minutes, 18 seconds.
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To count from 1 to 137,442,504,094,938 would take you about ten million, nine hundred twenty-five thousand, six hundred sixteen 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 137442504094938 cubic inches would be around 4300.6 feet tall.
Recreational maths with 137442504094938
- 137442504094938 backwards is 839490405244731
- 137442504094938 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137442504094938's digits is 63
- More coming soon!
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