138512644016848920
138,512,644,016,848,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 138512644016848920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
138512644016848920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138512644016848920:
23 × 34 × 5 × 73 × 134 × 20892
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 2089 × 2089)See below for interesting mathematical facts about the number 138512644016848920 from the Numbermatics database.
Names of 138512644016848920
- Cardinal: 138512644016848920 can be written as One hundred thirty-eight quadrillion, five hundred twelve trillion, six hundred forty-four billion, sixteen million, eight hundred forty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3851264401684892 × 1017
Factors of 138512644016848920
Divisors of 138512644016848920
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 26 27 28 30 35 36 39 40 42 45 49 52 54 56 60 63 65 70 72 78 81 84 90 91 98 104 105 108 117 120 126 130 135 140 147 156 162 168 169 180 182 189 195 196 210 216 234 245 252 260 270 273 280 294 312 315 324 338 343 351 360 364 378 390 392 405 420 441 455 468 490 504 507 520 540 546 567 585 588 630 637 648 676 686 702 728 735 756 780 810 819 840 845 882 910 936 945 980 1014 1029 1053 1080 1092 1134 1170 1176 1183 1260 1274 1323 1352 1365 1372 1404 1470 1512 1521 1560 1620 1638 1690 1715 1755 1764 1820 1890 1911 1960 2028 2058 2089 2106 2184 2197 2205 2268 2340 2366 2457 2520 2535 2548 2646 2730 2744 2808 2835 2940 3042 3087 3185 3240 3276 3380 3430 3510 3528 3549 3640 3780 3822 3969 4056 4095 4116 4178 4212 4394 4410 4459 4536 4563 4680 4732 4914 5070 5096 5145 5265 5292 5460 5670 5733 5880 5915 6084 6174 6267 6370 6552 6591 6615 6760 6860 7020 7098 7371 7560 7605 7644 7938 8190 8232 8281 8356 8424 8788 8820 8918 9126 9261 9464 9555 9828 10140 10290 10445 10530 10584 10647 10920 10985 11340 11466 11830 12168 12285 12348 12534 12740 13182 13230 13377 13689 13720 14040 14196 14623 14742 15210 15288 15379 15435 15876 16380 16562 16712 17199 17576 17640 17745 17836 18252 18522 18801 19110 19656 19773 19845 20280 20580 20890 21060 21294 21970 22295 22680 22815 22932 23660 24570 24696 24843 25068 25480 26364 26460 26754 27157 27378 27783 28392 28561 28665 29246 29484 30420 30758 30870 31335 31752 31941 32760 32955 33124 34398 35490 35672 36504 36855 37044 37602 38220 39546 39690 40131 41160 41405 41780 42120 42588 43869 43940 44590 45630 45864 46137 46305 47320 49140 49686 50136 51597 52728 52920 53235 53508 54314 54756 55566 56403 57122 57330 57967 58492 58968 59319 60840 61516 61740 62670 63882 65910 66248 66885 68445 68796 70980 73115 73710 74088 74529 75204 76440 76895 79092 79380 80262 81471 82810 83560 85176 85683 85995 87738 87880 89180 91260 92274 92610 94005 95823 98280 98865 99372 102361 103194 106470 107016 107653 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7765902893970 7805728037016 7852190703903 7880783114295 8053528927080 8288214697035 8363280039660 8456205373434 8724656337670 8973932233032 9006609273480 9060220042965 9106682709852 9395783748260 9472245368040 9757160046270 9865572935673 10095673762161 10118536344280 10354537191960 10469587605204 10507710819060 10872264051558 11050952929380 11217415291290 11274940497912 11383353387315 11708592055524 12080293390620 12214518872738 12609252982872 12684308060151 13009546728360 13086984506505 13154097247564 13261143515256 13460898349548 13660024064778 14093675622390 14496352068744 14635740069405 14956553721720 15177804516420 15531805787940 15704381407806 15761566228590 16442621559455 16576429394070 16726560079320 16826122936935 16912410746868 17449312675340 18120440085930 18213365419704 18321778309107 18791567496520 19514320092540 19731145871346 20191347524322 20490036097167 20939175210408 21015421638120 21140513433585 21744528103116 22101905858760 22434830582580 22766706774630 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85501632109166 88790156421057 91066827098520 91608891545535 94226288446836 98655729356730 100956737621610 101474464481208 102450180485835 104695876052040 108722640515580 109930669854642 117085920555240 117782860558545 118386875228076 122145188727380 126843080601510 128252448163749 131540972475640 134608983495480 136600240647780 141339432670254 146574226472856 147983594035095 152211696721812 157043814078060 163920288777336 164896004781963 169124107468680 171003264218332 177580312842114 183217783091070 188452576893672 190264620902265 197311458713460 201913475243220 204900360971670 213754080272915 217445281031160 219861339709284 235565721117090 236773750456152 244290377454760 253686161203020 256504896327498 266370469263171 273200481295560 274826674636605 282678865340508 295967188070190 304423393443624 314087628156120 329792009563926 342006528436664 353348581675635 355160625684228 366435566182140 380529241804530 384757344491247 394622917426920 403826950486440 409800721943340 427508160545830 439722679418568 443950782105285 471131442234180 494688014345889 507372322406040 513009792654996 532740938526342 549653349273210 565357730681016 591934376140380 641262240818745 659584019127852 706697163351270 710321251368456 732871132364280 761058483609060 769514688982494 819601443886680 824480023909815 855016321091660 887901564210570 942262884468360 989376028691778 1026019585309992 1065481877052684 1099306698546420 1154272033473741 1183868752280760 1282524481637490 1319168038255704 1331852346315855 1413394326702540 1522116967218120 1539029377964988 1648960047819630 1710032642183320 1775803128421140 1923786722456235 1978752057383556 2130963754105368 2198613397092840 2308544066947482 2473440071729445 2565048963274980 2663704692631710 2826788653405080 3078058755929976 3297920095639260 3462816100421223 3551606256842280 3847573444912470 3957504114767112 4617088133894964 4946880143458890 5130097926549960 5327409385263420 5771360167368705 6595840191278520 6925632200842446 7695146889824940 9234176267789928 9893760286917780 10654818770526840 11542720334737410 13851264401684892 15390293779649880 17314080502106115 19787520573835560 23085440669474820 27702528803369784 34628161004212230 46170881338949640 69256322008424460 138512644016848920
- Sum of all divisors σ(n): 588446579104956000
- Sum of proper divisors (its aliquot sum) s(n): 449933935088107080
- 138512644016848920 is an abundant number, because the sum of its proper divisors (449933935088107080) is greater than itself. Its abundance is 311421291071258160
Bases of 138512644016848920
- Binary: 1111011000001100010000100000011111000011001000000000110002
- Hexadecimal: 0x1EC18840F864018
- Base-36: 11VUMU7P55I0
Squares and roots of 138512644016848920
- 138512644016848920 squared (1385126440168489202) is 19185752552538312915772846105166400
- 138512644016848920 cubed (1385126440168489203) is 2657469313505089843160560048684523546159860260288000
-
The
square root of 138512644016848920 is 372172868.4587968725 -
The
cube root of 138512644016848920 is 517404.0293043031
Scales and comparisons
How big is 138512644016848920?- 138,512,644,016,848,920 seconds is equal to 4,404,273,631 years, 51 weeks, 5 days, 20 hours, 42 minutes.
-
To count from 1 to 138,512,644,016,848,920 would take you about thirteen billion, two hundred twelve million, eight hundred twenty thousand, eight hundred ninety-five 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 138512644016848920 cubic inches would be around 43117 feet tall.
Recreational maths with 138512644016848920
- 138512644016848920 backwards is 029848610446215831
- 138512644016848920 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138512644016848920's digits is 72
- More coming soon!
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"Number 138512644016848920 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138512644016848920 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138512644016848920/
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Numbermatics. 2024. "Number 138512644016848920 - Facts about the integer". https://numbermatics.com/n/138512644016848920/
The information we have on file for 138512644016848920 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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