138042246521088
138,042,246,521,088 is an even composite number composed of five prime numbers multiplied together.
What does the number 138042246521088 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
138042246521088 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138042246521088:
28 × 32 × 73 × 133 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 13 × 43 × 43 × 43)See below for interesting mathematical facts about the number 138042246521088 from the Numbermatics database.
Names of 138042246521088
- Cardinal: 138042246521088 can be written as One hundred thirty-eight trillion, forty-two billion, two hundred forty-six million, five hundred twenty-one thousand and eighty-eight.
Scientific notation
- Scientific notation: 1.38042246521088 × 1014
Factors of 138042246521088
Divisors of 138042246521088
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 43 48 49 52 56 63 64 72 78 84 86 91 96 98 104 112 117 126 128 129 144 147 156 168 169 172 182 192 196 208 224 234 252 256 258 273 288 294 301 312 336 338 343 344 364 384 387 392 416 441 448 468 504 507 516 546 559 576 588 602 624 637 672 676 686 688 728 768 774 784 819 832 882 896 903 936 1008 1014 1029 1032 1092 1118 1152 1176 1183 1204 1248 1274 1344 1352 1372 1376 1456 1521 1548 1568 1638 1664 1677 1764 1792 1806 1849 1872 1911 2016 2028 2058 2064 2107 2184 2197 2236 2304 2352 2366 2408 2496 2548 2688 2704 2709 2744 2752 2912 3042 3087 3096 3136 3276 3328 3354 3528 3549 3612 3698 3744 3822 3913 4032 4056 4116 4128 4214 4368 4394 4459 4472 4704 4732 4816 4992 5031 5096 5376 5408 5418 5488 5504 5547 5733 5824 6084 6174 6192 6272 6321 6552 6591 6708 7056 7098 7224 7267 7396 7488 7644 7826 8064 8112 8232 8256 8281 8428 8736 8788 8918 8944 9408 9464 9632 9984 10062 10192 10647 10816 10836 10976 11008 11094 11466 11648 11739 12168 12348 12384 12544 12642 12943 13104 13182 13377 13416 14112 14196 14448 14534 14749 14792 14976 15288 15379 15652 16128 16224 16464 16512 16562 16641 16856 17472 17576 17836 17888 18816 18928 18963 19264 19773 20124 20384 21294 21632 21672 21801 21952 22188 22932 23296 23478 24037 24336 24696 24768 24843 25284 25886 26208 26364 26754 26832 27391 28224 28392 28896 29068 29498 29584 29952 30576 30758 31304 32448 32928 33024 33124 33282 33712 34944 35152 35217 35672 35776 37632 37856 37926 38528 38829 39546 40131 40248 40768 42588 43264 43344 43602 43904 44247 44376 45864 46137 46956 48074 48672 49392 49536 49686 50568 50869 51772 52416 52728 53508 53664 54782 56448 56784 57792 57967 58136 58996 59168 61152 61516 62608 64896 65403 65856 66248 66564 67424 69888 70304 70434 71344 71552 72111 74529 75712 75852 77056 77658 79092 79507 80262 80496 81536 82173 85176 86688 87204 87808 88494 88752 90601 91728 92274 93912 94471 96148 97344 98784 99072 99372 101136 101738 103544 104832 105456 107016 107328 107653 109564 112896 113568 115584 115934 116272 116487 117992 118336 122304 123032 125216 129792 130806 131712 132496 132741 133128 134848 138411 140608 140868 142688 143104 144222 149058 151424 151704 152607 155316 158184 159014 160524 160992 163072 164346 168259 170352 173376 173901 174408 176988 177504 181202 183456 184548 187824 188942 191737 192296 194688 197568 198744 202272 203476 207088 209664 210912 214032 214656 215306 216333 219128 227136 231168 231868 232544 232974 235984 236672 238521 244608 246064 246519 250432 261612 263424 264992 265482 266256 269696 271803 276822 281216 281736 283413 285376 288444 298116 302848 303408 305214 310632 312481 316368 318028 321048 321984 322959 328692 336518 340704 346752 347802 348816 353976 355008 356083 362404 366912 369096 375648 377884 383474 384592 389376 395136 397488 404544 406952 414176 421824 428064 429312 430612 432666 438256 454272 457821 463736 465088 465948 471968 473344 477042 489216 492128 493038 500864 504777 521703 523224 529984 530964 532512 539392 543606 553644 556549 562432 563472 566826 570752 575211 576888 596232 606816 610428 621264 624962 632736 634207 636056 642096 643968 645918 657384 661297 673036 681408 693504 695604 697632 707952 710016 712166 715563 724808 733824 738192 751296 753571 755768 766948 769184 790272 794976 809088 813904 815409 828352 843648 850239 856128 861224 865332 876512 908544 915642 927472 930176 931896 937443 943936 954084 968877 984256 986076 1001728 1009554 1033591 1043406 1046448 1059968 1061928 1065024 1068249 1087212 1107288 1113098 1126944 1133652 1141504 1150422 1153776 1177813 1192464 1213632 1220856 1242528 1249924 1265472 1268414 1272112 1284192 1287936 1291836 1314768 1322594 1346072 1362816 1391208 1395264 1415904 1420032 1424332 1431126 1449616 1467648 1476384 1502592 1507142 1511536 1514331 1533896 1538368 1589952 1618176 1627808 1630818 1656704 1669647 1687296 1700478 1712256 1722448 1725633 1730664 1753024 1831284 1854944 1860352 1863792 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11851154406 12039267968 12442964352 12540175011 12576735288 12739225408 12762781668 12965365504 13544176464 13719165824 13826346807 14331628584 14586036192 14672857836 15434061552 15479058816 15708038976 15801539208 16379004096 16669755648 16720233348 16768980384 17017042224 17118334142 17638927488 18058901952 18435129076 18664446528 18995768064 19108838112 19448048256 19563810448 20578748736 20944051968 21068718944 21838672128 22009286754 22293644464 22358640512 22689389632 23702308812 24078535936 24885928704 25080350022 25153470576 25478450816 25525563336 25677501213 27088352928 27438331648 27652693614 28663257168 29172072384 29345715672 30868123104 30958117632 31416077952 31603078416 32758008192 33440466696 33537960768 34034084448 34236668284 35277854976 36117803904 36870258152 37328893056 38217676224 38896096512 39127620896 41157497472 41479040421 42137437888 44018573508 44587288928 44717281024 45378779264 47404617624 50160700044 50306941152 50956901632 51051126672 51355002426 54176705856 55305387228 57326514336 58344144768 58691431344 59914169497 61736246208 62832155904 63206156832 65516016384 66880933392 67075921536 68068168896 68473336568 72235607808 73740516304 74657786112 76435352448 77032503639 78255241792 82314994944 82958080842 84274875776 88037147016 89174577856 90757558528 94809235248 100321400088 100613882304 102102253344 102710004852 108353411712 110610774456 114653028672 116688289536 117382862688 119828338994 123472492416 126412313664 133761866784 134151843072 136136337792 136946673136 147481032608 152870704896 154065007278 156510483584 165916161684 168549751552 176074294032 178349155712 179742508491 189618470496 200642800176 201227764608 204204506688 205420009704 216706823424 221221548912 229306057344 234765725376 239656677988 246944984832 252824627328 267523733568 272272675584 273893346272 294962065216 308130014556 313020967168 331832323368 352148588064 356698311424 359485016982 379236940992 401285600352 402455529216 408409013376 410840019408 442443097824 458612114688 469531450752 479313355976 505649254656 535047467136 539227525473 547786692544 589924130432 616260029112 663664646736 704297176128 718970033964 758473881984 802571200704 816818026752 821680038816 884886195648 939062901504 958626711952 1070094934272 1078455050946 1095573385088 1179848260864 1232520058224 1327329293472 1408594352256 1437940067928 1516947763968 1605142401408 1643360077632 1769772391296 1917253423904 2156910101892 2191146770176 2465040116448 2654658586944 2817188704512 2875880135856 3210284802816 3286720155264 3539544782592 3834506847808 4313820203784 4930080232896 5309317173888 5751760271712 6573440310528 7669013695616 8627640407568 9860160465792 10618634347776 11503520543424 15338027391232 17255280815136 19720320931584 23007041086848 34510561630272 46014082173696 69021123260544 138042246521088
- Sum of all divisors σ(n): 514784670400000
- Sum of proper divisors (its aliquot sum) s(n): 376742423878912
- 138042246521088 is an abundant number, because the sum of its proper divisors (376742423878912) is greater than itself. Its abundance is 238700177357824
Bases of 138042246521088
- Binary: 111110110001100011101110001000101100001000000002
- Hexadecimal: 0x7D8C77116100
- Base-36: 1CXJQDFLS0
Squares and roots of 138042246521088
- 138042246521088 squared (1380422465210882) is 19055661824588832038828703744
- 138042246521088 cubed (1380422465210883) is 2630486367212377110008018783539540600553472
-
The
square root of 138042246521088 is 11749138.1182233107 -
The
cube root of 138042246521088 is 51681.7652996987
Scales and comparisons
How big is 138042246521088?- 138,042,246,521,088 seconds is equal to 4,389,316 years, 23 weeks, 1 day, 14 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,042,246,521,088 would take you about ten million, nine hundred seventy-three thousand, two hundred ninety-one 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 138042246521088 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138042246521088
- 138042246521088 backwards is 880125642240831
- The number of decimal digits it has is: 15
- The sum of 138042246521088's digits is 54
- More coming soon!
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"Number 138042246521088 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 138042246521088 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138042246521088/
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The information we have on file for 138042246521088 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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