138120593790816
138,120,593,790,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 138120593790816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2112 divisors.
138120593790816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138120593790816:
25 × 310 × 73 × 133 × 97
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 13 × 97)See below for interesting mathematical facts about the number 138120593790816 from the Numbermatics database.
Names of 138120593790816
- Cardinal: 138120593790816 can be written as One hundred thirty-eight trillion, one hundred twenty billion, five hundred ninety-three million, seven hundred ninety thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38120593790816 × 1014
Factors of 138120593790816
Divisors of 138120593790816
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 72 78 81 84 91 96 97 98 104 108 112 117 126 144 147 156 162 168 169 182 189 194 196 208 216 224 234 243 252 273 288 291 294 312 324 336 338 343 351 364 378 388 392 416 432 441 468 486 504 507 546 567 582 588 624 637 648 672 676 679 686 702 728 729 756 776 784 819 864 873 882 936 972 1008 1014 1029 1053 1092 1134 1164 1176 1183 1248 1261 1274 1296 1323 1352 1358 1372 1404 1456 1458 1512 1521 1552 1568 1638 1701 1746 1764 1872 1911 1944 2016 2028 2037 2058 2106 2184 2187 2197 2268 2328 2352 2366 2457 2522 2548 2592 2619 2646 2704 2716 2744 2808 2912 2916 3024 3042 3087 3104 3159 3276 3402 3492 3528 3549 3744 3783 3822 3888 3969 4056 4074 4116 4212 4368 4374 4394 4459 4536 4563 4656 4704 4732 4753 4914 5044 5096 5103 5238 5292 5408 5432 5488 5616 5733 5832 6048 6084 6111 6174 6318 6552 6561 6591 6804 6984 7056 7098 7371 7566 7644 7776 7857 7938 8112 8148 8232 8281 8424 8736 8748 8788 8827 8918 9072 9126 9261 9312 9464 9477 9506 9828 10088 10192 10206 10476 10584 10647 10864 10976 11232 11349 11466 11664 11907 12168 12222 12348 12636 13104 13122 13182 13377 13608 13689 13968 14112 14196 14259 14742 15132 15288 15309 15379 15714 15876 16224 16296 16393 16464 16562 16848 17199 17496 17576 17654 17836 18144 18252 18333 18522 18928 18954 19012 19656 19683 19773 20176 20384 20412 20952 21168 21294 21728 22113 22698 22932 23328 23571 23814 24336 24444 24696 24843 25272 26208 26244 26364 26481 26754 27216 27378 27783 27936 28392 28431 28518 29484 30264 30576 30618 30758 31428 31752 31941 32592 32786 32928 33124 33271 33696 34047 34398 34992 35152 35308 35672 35721 36504 36666 37044 37856 37908 38024 39312 39366 39546 40131 40352 40824 41067 41904 42336 42588 42777 44226 45396 45864 45927 46137 47142 47628 48672 48888 49179 49392 49686 50544 51597 52488 52728 52962 53508 54432 54756 54999 55566 56784 56862 57036 57967 58968 59049 59319 60528 61152 61236 61516 61789 62856 63504 63882 65184 65572 66248 66339 66542 68094 68796 69984 70304 70616 70713 71344 71442 73008 73332 74088 74529 75816 76048 78624 78732 79092 79443 80262 81648 82134 83349 83808 85176 85293 85554 88452 90792 91728 91854 92274 94284 95256 95823 97776 98358 98784 99372 99813 101088 102141 103194 104976 105456 105924 107016 107163 107653 109512 109998 111132 113568 113724 114072 114751 115934 117936 118098 118638 120393 121056 122472 123032 123201 123578 125712 127008 127764 128331 131144 132496 132678 133084 136188 137592 137781 138411 141232 141426 142688 142884 146016 146664 147537 148176 149058 151632 152096 154791 157464 158184 158886 160524 163296 164268 164997 166698 170352 170586 171108 173901 176904 177957 181584 183456 183708 184548 185367 188568 190512 191646 195552 196716 198744 199017 199626 204282 206388 209952 210912 211848 212139 213109 214032 214326 215306 219024 219996 222264 223587 227448 228144 229502 231868 235872 236196 237276 238329 240786 244944 246064 246402 247156 250047 251424 255528 255879 256662 262288 264992 265356 266168 272376 275184 275562 276822 282464 282852 285768 287469 293328 295074 296352 298116 299439 303264 306423 309582 314928 316368 317772 321048 321489 322959 328536 329994 333396 340704 341172 342216 344253 347802 353808 355914 361179 363168 367416 369096 369603 370734 377136 381024 383292 384993 393432 397488 398034 399252 408564 412776 413343 415233 423696 424278 426218 428064 428652 430612 432523 438048 439992 442611 444528 447174 454896 456288 459004 463736 464373 472392 474552 476658 481572 489888 492128 492804 494312 494991 500094 511056 511758 513324 521703 524576 530712 532336 533871 544752 550368 551124 553644 556101 565704 571536 574938 586656 590148 596232 597051 598878 612846 619164 629856 632736 635544 636417 639327 642096 642978 645918 657072 659988 666792 670761 682344 684432 688506 695604 707616 711828 714987 722358 734832 738192 739206 741468 750141 753571 754272 766584 767637 769986 786864 794976 796068 798504 803257 817128 825552 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1505762622 1521285948 1561531608 1614425904 1619366112 1621590516 1648059777 1657135584 1681649424 1691659242 1720871568 1738612512 1746328248 1754313288 1756723059 1816229142 1821786876 1853246304 1864277532 1883496888 1891855602 1933324848 1935980514 1953256032 1955939076 1964619279 1973602449 2007683496 2028381264 2075690448 2082042144 2084902092 2106395928 2118933999 2162120688 2174990454 2197413036 2235358944 2245279176 2255545656 2258643933 2281928922 2328437664 2339084384 2342297412 2382745248 2421638856 2429049168 2432385774 2485703376 2511329184 2522474136 2537488863 2581307352 2607918768 2619492372 2631469932 2676911328 2732680314 2779869456 2796416298 2808527904 2825245332 2837783403 2899987272 2929884048 2993705568 3007394208 3011525244 3042571896 3123063216 3228851808 3243181032 3262485681 3296119554 3363298848 3383318484 3422893383 3441743136 3492656496 3508626576 3513446118 3632458284 3643573752 3648578661 3728555064 3766993776 3783711204 3866649696 3871961028 3911878152 3929238558 3947204898 4015366992 4056762528 4099020471 4151380896 4169804184 4194624447 4212791856 4237867998 4324241376 4349980908 4394826072 4490558352 4511091312 4517287866 4563857844 4684594824 4843277712 4858098336 4864771548 4944179331 4971406752 5044948272 5074977726 5162614704 5215837536 5238984744 5262939864 5270169177 5465360628 5559738912 5592832596 5650490664 5675566806 5799974544 5859768096 5920807347 6023050488 6085143792 6246126432 6356801997 6486362064 6524971362 6592239108 6766636968 6775931799 6845786766 6985312992 7017253152 7026892236 7264916568 7287147504 7297157322 7457110128 7533987552 7567422408 7612466589 7743922056 7823756304 7858477116 7894409796 8030733984 8198040942 8339608368 8389248894 8425583712 8475735996 8513350209 8699961816 8789652144 8981116704 9022182624 9034575732 9127715688 9369189648 9686555424 9729543096 9787457043 9888358662 10089896544 10149955452 10325229408 10477969488 10525879728 10540338354 10930721256 11185665192 11300981328 11351133612 11599949088 11841614694 12046100976 12170287584 12297061413 12583873341 12713603994 12972724128 13049942724 13184478216 13533273936 13551863598 13691573532 14053784472 14529833136 14574295008 14594314644 14832537993 14914220256 15134844816 15224933178 15487844112 15647512608 15716954232 15788819592 15810507531 16396081884 16679216736 16778497788 16951471992 17026700418 17399923632 17579304288 17762422041 18069151464 18255431376 18738379296 19459086192 19574914086 19776717324 20299910904 20955938976 21051759456 21080676708 21861442512 22371330384 22601962656 22702267224 22837399767 23683229388 24092201952 24594122826 25167746682 25427207988 25540050627 26099885448 26368956432 27066547872 27103727196 27383147064 28107568944 29059666272 29188629288 29362371129 29665075986 30269689632 30449866356 30975688224 31433908464 31577639184 31621015062 32792163768 33556995576 33902943984 34053400836 34799847264 35524844082 36138302928 36510862752 36891184239 38918172384 39149828172 39553434648 40599821808 42161353416 43722885024 44497613979 44742660768 45404534448 45674799534 47366458776 47431522593 49188245652 50335493364 50854415976 51080101254 52199770896 52737912864 53287266123 54207454392 54766294128 56215137888 58377258576 58724742258 59330151972 60899732712 62867816928 63155278368 63242030124 65584327536 67113991152 67805887968 68106801672 68512199301 71049688164 72276605856 73782368478 78299656344 79106869296 81199643616 84322706832 88087113387 88995227958 90809068896 91349599068 94732917552 94863045186 98376491304 100670986728 101708831952 102160202508 104399541792 106574532246 108414908784 109532588256 110673552717 116754517152 117449484516 118660303944 121799465424 126484060248 131168655072 134227982304 136213603344 137024398602 142099376328 147564736956 156599312688 158213738592 159861798369 168645413664 176174226774 177990455916 182699198136 189465835104 189726090372 196752982608 201341973456 203417663904 204320405016 205536597903 213149064492 216829817568 221347105434 234898969032 237320607888 243598930848 252968120496 272427206688 274048797204 284198752656 295129473912 313198625376 319723596738 332020658151 352348453548 355980911832 365398396272 379452180744 393505965216 402683946912 408640810032 411073195806 426298128984 442694210868 469797938064 474641215776 479585395107 505936240992 548097594408 568397505312 590258947824 616609793709 639447193476 664041316302 704696907096 711961823664 730796792544 758904361488 817281620064 822146391612 852596257968 885388421736 939595876128 959170790214 1096195188816 1180517895648 1233219587418 1278894386952 1328082632604 1409393814192 1423923647328 1438756185321 1517808722976 1644292783224 1705192515936 1770776843472 1918341580428 2192390377632 2466439174836 2557788773904 2656165265208 2818787628384 2877512370642 3288585566448 3541553686944 3836683160856 4316268555963 4932878349672 5115577547808 5312330530416 5755024741284 6577171132896 7673366321712 8632537111926 9865756699344 10624661060832 11510049482568 15346732643424 17265074223852 19731513398688 23020098965136 34530148447704 46040197930272 69060296895408 138120593790816
- Sum of all divisors σ(n): 520600916304000
- Sum of proper divisors (its aliquot sum) s(n): 382480322513184
- 138120593790816 is an abundant number, because the sum of its proper divisors (382480322513184) is greater than itself. Its abundance is 244359728722368
Bases of 138120593790816
- Binary: 111110110011110101101001110110111010111011000002
- Hexadecimal: 0x7D9EB4EDD760
- Base-36: 1CYJQ3DI00
Squares and roots of 138120593790816
- 138120593790816 squared (1381205937908162) is 19077298429127599373165945856
- 138120593790816 cubed (1381205937908163) is 2634967786955705332617080354926213246058496
-
The
square root of 138120593790816 is 11752471.8162102393 -
The
cube root of 138120593790816 is 51691.5409529469
Scales and comparisons
How big is 138120593790816?- 138,120,593,790,816 seconds is equal to 4,391,807 years, 33 weeks, 4 days, 16 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,120,593,790,816 would take you about ten million, nine hundred seventy-nine thousand, five hundred nineteen 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 138120593790816 cubic inches would be around 4307.6 feet tall.
Recreational maths with 138120593790816
- 138120593790816 backwards is 618097395021831
- 138120593790816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138120593790816's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138120593790816 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138120593790816 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138120593790816/
Chicago style:
Numbermatics. 2024. "Number 138120593790816 - Facts about the integer". https://numbermatics.com/n/138120593790816/
The information we have on file for 138120593790816 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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