138537113118768
138,537,113,118,768 is an even composite number composed of five prime numbers multiplied together.
138537113118768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 138537113118768:
24 × 33 × 76 × 132 × 1272
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 127 × 127)See below for interesting mathematical facts about the number 138537113118768 from the Numbermatics database.
Names of 138537113118768
- Cardinal: 138537113118768 can be written as One hundred thirty-eight trillion, five hundred thirty-seven billion, one hundred thirteen million, one hundred eighteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38537113118768 × 1014
Factors of 138537113118768
Divisors of 138537113118768
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 49 52 54 56 63 72 78 84 91 98 104 108 112 117 126 127 144 147 156 168 169 182 189 196 208 216 234 252 254 273 294 312 336 338 343 351 364 378 381 392 432 441 468 504 507 508 546 588 624 637 676 686 702 728 756 762 784 819 882 889 936 1008 1014 1016 1029 1092 1143 1176 1183 1274 1323 1352 1372 1404 1456 1512 1521 1524 1638 1651 1764 1778 1872 1911 2028 2032 2058 2184 2286 2352 2366 2401 2457 2548 2646 2667 2704 2744 2808 3024 3042 3048 3087 3276 3302 3429 3528 3549 3556 3822 4056 4116 4368 4459 4563 4572 4732 4802 4914 4953 5096 5292 5334 5488 5616 5733 6084 6096 6174 6223 6552 6604 6858 7056 7098 7112 7203 7644 8001 8112 8232 8281 8918 9126 9144 9261 9464 9604 9828 9906 10192 10584 10647 10668 11466 11557 12168 12348 12446 13104 13208 13377 13716 14196 14224 14406 14859 15288 16002 16129 16464 16562 16807 17199 17836 18252 18288 18522 18669 18928 19208 19656 19812 21168 21294 21336 21463 21609 22932 23114 24003 24336 24696 24843 24892 26416 26754 27432 28392 28812 29718 30576 31213 31941 32004 32258 33124 33614 34398 34671 35672 36504 37044 37338 38416 39312 39624 40131 42588 42672 42926 43218 43561 44577 45864 46228 48006 48387 49392 49686 49784 50421 53508 54864 56007 56784 57624 57967 59436 62426 63882 64008 64389 64516 64827 66248 67228 68796 69342 71344 73008 74088 74529 74676 79248 80262 80899 85176 85852 86436 87122 89154 91728 92456 93639 96012 96774 99372 99568 100842 104013 107016 112014 112903 115248 115934 117649 118872 120393 124852 127764 128016 128778 129032 129654 130683 132496 134456 137592 138684 145161 148176 149058 149352 150241 151263 160524 161798 168021 170352 171704 172872 173901 174244 178308 184912 187278 192024 193167 193548 198744 201684 208026 209677 214032 218491 223587 224028 225806 231868 235298 237744 240786 242697 249704 255528 257556 258064 259308 261366 268912 275184 277368 280917 290322 298116 298704 300482 302526 304927 312039 321048 323596 336042 338709 343408 345744 347802 348488 352947 356616 374556 384048 386334 387096 392049 397488 403368 405769 416052 419354 435483 436982 447174 448056 450723 451612 453789 463736 470596 481572 485394 499408 511056 515112 518616 521703 522732 554736 561834 566293 579501 580644 596232 600964 605052 609854 624078 629031 642096 647192 655473 672084 677418 695604 696976 705894 713232 728091 749112 772668 774192 784098 790321 806736 811538 832104 838708 842751 870966 873964 894348 896112 901446 903224 907578 914781 927472 941192 963144 970788 1016127 1030224 1037232 1043406 1045464 1051687 1058841 1123668 1132586 1159002 1161288 1176147 1192464 1201928 1210104 1217307 1219708 1248156 1258062 1294384 1310946 1344168 1352169 1354836 1391208 1411788 1456182 1467739 1498224 1529437 1545336 1565109 1568196 1580642 1623076 1664208 1677416 1685502 1698879 1741932 1747928 1788696 1802892 1806448 1815156 1829562 1882384 1887093 1926288 1941576 1966419 2032254 2086812 2090928 2103374 2117682 2134489 2184273 2247336 2265172 2318004 2322576 2352294 2370963 2403856 2420208 2434614 2439416 2496312 2516124 2621892 2688336 2704338 2709672 2725801 2744343 2782416 2823576 2840383 2912364 2935478 3048381 3058874 3090672 3130218 3136392 3155061 3161284 3176523 3246152 3354832 3371004 3397758 3483864 3495856 3577392 3605784 3630312 3651921 3659124 3774186 3883152 3932838 3964051 4056507 4064508 4173624 4206748 4235364 4268978 4368546 4403217 4494672 4530344 4588311 4636008 4704588 4741926 4869228 4878832 4992624 5032248 5096637 5243784 5408676 5419344 5451602 5488686 5532247 5647152 5661279 5680766 5824728 5870956 5899257 6096762 6117748 6260436 6272784 6310122 6322568 6353046 6403467 6492304 6742008 6795516 6967728 7112889 7211568 7260624 7303842 7318248 7361809 7548372 7865676 7928102 8113014 8129016 8177403 8233029 8347248 8413496 8470728 8521149 8537956 8737092 8806434 9060688 9176622 9272016 9409176 9465183 9483852 9738456 10064496 10193274 10274173 10487568 10817352 10903204 10955763 10977372 11064494 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28192330712 28849877784 29276651124 30301205844 30360971536 31069099152 31716372051 33658190748 34156092978 36247282344 38958693228 39035534832 39267889206 40401607792 41955515784 42288496068 44877587664 45451808766 45541457304 45812537407 49336578746 50487286122 51234139467 51944924304 52357185608 54370923516 56384661424 57699755568 58553302248 58901833809 60602411688 63432744102 67316381496 68177713149 68312185956 72494564688 74004868119 77917386456 78535778412 83911031568 84576992136 90903617532 91082914608 91625074814 95149116153 98673157492 100974572244 102468278934 104714371216 108741847032 117106604496 117803667618 121204823376 126865488204 134632762992 136355426298 136624371912 137437612221 148009736238 155834772912 157071556824 169153984272 176705501427 181807235064 183250149628 190298232306 197346314984 201949144488 204936557868 217483694064 222014604357 235607335236 253730976408 272710852596 273248743824 274875224442 296019472476 314143113648 320687761849 353411002854 363614470128 366500299256 380596464612 394692629968 403898288976 409873115736 412312836663 444029208714 471214670472 507461952816 545421705192 549750448884 592038944952 641375523698 666043813071 706822005708 733000598512 761192929224 819746231472 824625673326 888058417428 942429340944 962063285547 1090843410384 1099500897768 1184077889904 1236938509989 1282751047396 1332087626142 1413644011416 1522385858448 1649251346652 1776116834856 1924126571094 2199001795536 2473877019978 2565502094792 2664175252284 2827288022832 2886189856641 3298502693304 3552233669712 3848253142188 4947754039956 5131004189584 5328350504568 5772379713282 6597005386608 7696506284376 8658569569923 9895508079912 10656701009136 11544759426564 15393012568752 17317139139846 19791016159824 23089518853128 34634278279692 46179037706256 69268556559384 138537113118768
- Sum of all divisors σ(n): 506346349159080
- Sum of proper divisors (its aliquot sum) s(n): 367809236040312
- 138537113118768 is an abundant number, because the sum of its proper divisors (367809236040312) is greater than itself. Its abundance is 229272122921544
Bases of 138537113118768
- Binary: 111110111111111101011110110101001101000001100002
- Hexadecimal: 0x7DFFAF6A6830
- Base-36: 1D3V2K88C0
Squares and roots of 138537113118768
- 138537113118768 squared (1385371131187682) is 19192531711282320687673837824
- 138537113118768 cubed (1385371131187683) is 2658877936721460842296086841200808482680832
-
The
square root of 138537113118768 is 11770178.9756472267 -
The
cube root of 138537113118768 is 51743.4495034409
Scales and comparisons
How big is 138537113118768?- 138,537,113,118,768 seconds is equal to 4,405,051 years, 35 weeks, 5 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,537,113,118,768 would take you about eleven million, twelve thousand, six hundred twenty-nine 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 138537113118768 cubic inches would be around 4312 feet tall.
Recreational maths with 138537113118768
- 138537113118768 backwards is 867811311735831
- 138537113118768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138537113118768's digits is 63
- More coming soon!
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"Number 138537113118768 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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The information we have on file for 138537113118768 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!
Keywords: Divisors of 138537113118768, math, Factors of 138537113118768, curriculum, school, college, exams, university, Prime factorization of 138537113118768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred thirty-seven billion, one hundred thirteen million, one hundred eighteen thousand, seven hundred sixty-eight.