138023370815616
138,023,370,815,616 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138023370815616 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138023370815616 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138023370815616:
27 × 32 × 11 × 13 × 19 × 109 × 137 × 2953
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 19 × 109 × 137 × 2953)See below for interesting mathematical facts about the number 138023370815616 from the Numbermatics database.
Names of 138023370815616
- Cardinal: 138023370815616 can be written as One hundred thirty-eight trillion, twenty-three billion, three hundred seventy million, eight hundred fifteen thousand, six hundred sixteen.
Scientific notation
- Scientific notation: 1.38023370815616 × 1014
Factors of 138023370815616
Divisors of 138023370815616
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 32 33 36 38 39 44 48 52 57 64 66 72 76 78 88 96 99 104 109 114 117 128 132 137 143 144 152 156 171 176 192 198 208 209 218 228 234 247 264 274 286 288 304 312 327 342 352 384 396 411 416 418 429 436 456 468 494 528 548 572 576 608 624 627 654 684 704 741 792 822 832 836 858 872 912 936 981 988 1056 1096 1144 1152 1199 1216 1233 1248 1254 1287 1308 1368 1408 1417 1482 1507 1584 1644 1664 1672 1716 1744 1781 1824 1872 1881 1962 1976 2071 2112 2192 2223 2288 2398 2432 2466 2496 2508 2574 2603 2616 2717 2736 2834 2953 2964 3014 3168 3288 3344 3432 3488 3562 3597 3648 3744 3762 3924 3952 4142 4224 4251 4384 4446 4521 4576 4796 4932 4992 5016 5148 5206 5232 5343 5434 5472 5668 5906 5928 6028 6213 6336 6576 6688 6864 6976 7124 7194 7296 7488 7524 7809 7848 7904 8151 8284 8502 8768 8859 8892 9042 9152 9592 9864 10032 10296 10412 10464 10686 10791 10868 10944 11336 11812 11856 12056 12426 12672 12753 13152 13376 13563 13728 13952 14248 14388 14933 14976 15048 15587 15618 15696 15808 16029 16302 16568 17004 17536 17718 17784 18084 18304 18639 19184 19591 19728 20064 20592 20824 20928 21372 21582 21736 21888 22672 22781 23427 23624 23712 24112 24453 24852 25506 26304 26577 26752 26923 27126 27456 28496 28633 28776 29866 30096 31174 31236 31392 31616 32058 32483 32604 33136 33839 34008 35436 35568 36168 37278 38368 38389 39182 39456 40128 41184 41648 41856 42744 43164 43472 44799 45344 45562 46761 46854 47248 47424 48224 48906 49704 51012 52608 53154 53846 54252 54912 56107 56992 57266 57552 58773 59732 60192 62348 62472 62784 64116 64966 65208 66272 67678 68016 68343 70872 71136 72336 74556 76736 76778 78364 78912 80256 80769 82368 83296 85488 85899 86328 86944 89598 90688 91124 93522 93708 94496 94848 96448 97449 97812 99408 101517 102024 106308 107692 108504 112214 113984 114532 115104 115167 117546 119464 120384 124696 124944 125568 128232 129932 130416 132544 134397 135356 136032 136686 140283 141744 142272 144672 149112 153472 153556 156728 157824 161538 164263 164736 166592 168321 170976 171798 172656 173888 176319 179196 181376 182248 187044 187416 188992 192896 194129 194898 195624 198816 203034 204048 205029 212616 215384 217008 224428 227968 229064 230208 230334 235092 238928 240768 242307 249392 249888 256464 257697 259864 260832 265088 268794 270712 272064 273372 280566 283488 283727 284544 289344 292347 296153 298224 304551 307112 313456 321877 323076 328526 333184 336642 341952 343596 345312 345501 347776 352638 358392 364496 372229 374088 374832 377984 388258 389796 391248 397632 404561 406068 408096 410058 422279 425232 430768 434016 448856 458128 460416 460668 470184 477856 484614 492789 498784 499776 504963 512928 515394 519728 521664 537588 541424 544128 546744 561132 566976 567454 578688 582387 584694 592306 596448 609102 614224 617177 626912 643754 646152 657052 673284 683904 687192 690624 691002 705276 716784 728992 729391 744458 748176 749664 776516 779592 782496 795264 809122 812136 816192 820116 844558 850464 851181 861536 868032 888459 897712 916256 921336 940368 955712 965631 969228 985578 997568 999552 1009926 1025856 1030788 1039456 1043328 1075176 1082848 1093488 1116687 1122264 1133952 1134908 1164774 1169388 1184612 1192896 1213683 1218204 1228448 1234354 1253824 1266837 1287508 1292304 1314104 1346568 1374384 1381248 1382004 1410552 1433568 1457984 1458782 1478367 1488916 1496352 1499328 1553032 1559184 1564992 1618244 1624272 1632384 1640232 1689116 1700928 1702362 1723072 1736064 1747161 1776918 1795424 1832512 1842672 1851531 1880736 1911424 1931262 1938456 1971156 1995136 2019852 2051712 2061576 2078912 2135419 2150352 2165696 2186976 2188173 2233374 2244528 2269816 2329548 2338776 2369224 2385792 2427366 2436408 2456896 2468708 2507648 2533674 2553543 2575016 2584608 2628208 2665377 2693136 2748768 2764008 2821104 2867136 2896893 2915968 2917564 2956734 2977832 2992704 2998656 3106064 3118368 3120997 3129984 3236488 3248544 3280464 3350061 3378232 3401856 3404724 3446144 3494322 3540647 3553836 3590848 3641049 3665024 3685344 3688451 3703062 3761472 3800511 3862524 3876912 3942312 4039704 4123152 4157824 4184401 4270838 4300704 4331392 4373952 4376346 4450171 4466748 4489056 4539632 4659096 4677552 4738448 4854732 4872816 4913792 4937416 5067348 5107086 5150032 5169216 5256416 5259293 5330754 5386272 5497536 5528016 5554593 5642208 5734272 5793786 5835128 5913468 5955664 5985408 6115663 6212128 6236736 6241994 6406257 6472976 6497088 6560928 6564519 6700122 6756464 6809448 6988644 7081294 7107672 7181696 7282098 7370688 7376902 7406124 7522944 7601022 7686659 7725048 7753824 7884624 8023301 8079408 8246304 8368802 8541676 8601408 8747904 8752692 8900342 8933496 8978112 9079264 9318192 9355104 9362991 9476896 9709464 9745632 9874832 10134696 10214172 10300064 10338432 10512832 10518586 10621941 10661508 10772544 10995072 11056032 11065353 11109186 11284416 11587572 11670256 11826936 11911328 12231326 12424256 12473472 12483988 12553203 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138359862 140043072 142405472 142935936 144419418 146775912 149807856 150638436 153750168 155351424 159007238 160206156 162155136 162291844 163426752 168297376 169106498 169951056 170584128 173556669 176388596 177045648 177746976 184113644 184479816 185401152 189230976 189334548 192559224 195701216 199743808 199853134 200851248 201816879 205000224 210064608 213608208 214403904 220163868 223636608 224711784 226601408 231408892 233027136 236060864 236995968 238510857 243232704 243437766 245973088 252446064 253659747 254926584 256745632 264582894 265568472 267801664 269089172 273333632 276170466 276719724 280086144 284810944 288838836 293551824 299615712 299779701 301276872 307500336 318014476 320412312 324583688 326853504 336594752 338212996 339902112 341168256 347113338 352777192 354091296 355493952 365156649 368227288 368959632 370802304 378669096 385118448 391402432 396874341 399487616 399706268 401702496 403633758 410000448 414255699 420129216 427216416 428807808 440327736 449423568 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1475838528 1514676384 1521958482 1540473792 1587497364 1598825072 1606809984 1614535032 1657022796 1675691662 1708865664 1719788811 1749079618 1761310944 1797694272 1798678206 1851271136 1908086856 1940274556 1947502128 2019568512 2029277976 2039412672 2082680028 2116663152 2124547776 2152713376 2198384474 2209363728 2213757792 2293051748 2310710688 2348414592 2398237608 2410214976 2421802548 2460002688 2513537493 2544115808 2563298496 2596669504 2623619427 2705703968 2776906704 2822217536 2862130284 2910411834 2921253192 2945818304 2951677056 3029352768 3043916964 3080947584 3174994728 3197650144 3229070064 3297576711 3314045592 3351383324 3439577622 3498159236 3522621888 3595388544 3597356412 3702542272 3816173712 3880549112 3895004256 4058555952 4078825344 4165360056 4233326304 4249095552 4305426752 4365617751 4396768948 4418727456 4427515584 4586103496 4621421376 4796475216 4820429952 4843605096 5027074986 5088231616 5126596992 5159366433 5193339008 5247238854 5411407936 5553813408 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25399957824 25832560512 26380613688 26512364736 26811066592 27516620976 27648912423 27985273888 28778851296 30162449916 30529389696 31044392896 31483433124 32468447616 32675987409 33322880448 34924942008 35174151584 36688827968 36865216564 37835353842 38371801728 38748840768 39570920532 40216599888 41274931464 41977910832 43567983212 45794084544 46566589344 46740051072 48702671424 50447138456 50799915648 52761227376 53024729472 53622133184 55033241952 55297824846 55970547776 56753030763 57557702592 60324899832 62088785792 62966866248 65351974818 66645760896 69849884016 70348303168 73377655936 73730433128 75670707684 77497681536 79141841064 80433199776 82549862928 82946737269 83955821664 87135966424 91588169088 93133178688 97405342848 98027962227 100894276912 105522454752 107244266368 110066483904 110595649692 111941095552 113506061526 115115405184 119811953833 120649799664 125933732496 130703949636 139699768032 140696606336 147460866256 151341415368 158283682128 160866399552 165099725856 165893474538 167911643328 174271932848 186266357376 196055924454 201788553824 211044909504 220132967808 221191299384 227012123052 239623907666 241299599328 251867464992 261407899272 279399536064 294921732512 302682830736 316567364256 321732799104 330199451712 331786949076 335823286656 348543865696 359435861499 392111848908 403577107648 422089819008 442382598768 454024246104 479247815332 482599198656 503734929984 522815798544 558799072128 589843465024 605365661472 633134728512 660398903424 663573898152 697087731392 718871722998 784223697816 807154215296 884765197536 908048492208 958495630664 965198397312 1007469859968 1045631597088 1078307584497 1179686930048 1210731322944 1266269457024 1327147796304 1394175462784 1437743445996 1568447395632 1769530395072 1816096984416 1916991261328 2091263194176 2156615168994 2421462645888 2654295592608 2875486891992 3136894791264 3539060790144 3632193968832 3833982522656 4182526388352 4313230337988 5308591185216 5750973783984 6273789582528 7264387937664 7667965045312 8626460675976 10617182370432 11501947567968 12547579165056 15335930090624 17252921351952 23003895135936 34505842703904 46007790271872 69011685407808 138023370815616
- Sum of all divisors σ(n): 499465014048000
- Sum of proper divisors (its aliquot sum) s(n): 361441643232384
- 138023370815616 is an abundant number, because the sum of its proper divisors (361441643232384) is greater than itself. Its abundance is 223418272416768
Bases of 138023370815616
- Binary: 111110110001000000100011111110011111000100000002
- Hexadecimal: 0x7D8811FCF880
- Base-36: 1CXB27BQ80
Squares and roots of 138023370815616
- 138023370815616 squared (1380233708156162) is 19050450891305038557069459456
- 138023370815616 cubed (1380233708156163) is 2629407447575277673789314445958250963664896
-
The
square root of 138023370815616 is 11748334.8103301857 -
The
cube root of 138023370815616 is 51679.4095613355
Scales and comparisons
How big is 138023370815616?- 138,023,370,815,616 seconds is equal to 4,388,716 years, 13 weeks, 2 days, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,023,370,815,616 would take you about ten million, nine hundred seventy-one thousand, seven hundred ninety 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 138023370815616 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138023370815616
- 138023370815616 backwards is 616518073320831
- The number of decimal digits it has is: 15
- The sum of 138023370815616's digits is 54
- More coming soon!
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"Number 138023370815616 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 138023370815616 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/138023370815616/
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The information we have on file for 138023370815616 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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