138193338816

Names of 138193338816

• Cardinal: 138193338816 can be written as One hundred thirty-eight billion, one hundred ninety-three million, three hundred thirty-eight thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.38193338816 × 10¹¹

Factors of 138193338816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 516

Divisors of 138193338816

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 89 96 104 108 117 144 156 169 178 192 208 216 234 267 288 312 338 351 356 409 416 432 468 507 534 576 624 676 702 712 801 818 832 864 936 1014 1068 1157 1227 1248 1352 1404 1424 1521 1602 1636 1728 1872 2028 2136 2197 2314 2403 2454 2496 2704 2808 2848 3042 3204 3272 3471 3681 3744 4056 4272 4394 4563 4628 4806 4908 5317 5408 5616 5696 6084 6408 6544 6591 6942 7362 7488 8112 8544 8788 9126 9256 9612 9816 10413 10634 10816 11043 11232 12168 12816 13088 13182 13884 14724 15041 15951 16224 17088 17576 18252 18512 19224 19632 19773 20826 21268 22086 22464 24336 25632 26176 26364 27768 29448 30082 31239 31902 32448 35152 36401 36504 37024 38448 39264 39546 41652 42536 44172 45123 47853 48672 51264 52728 55536 58896 59319 60164 62478 63804 69121 70304 72802 73008 74048 76896 78528 79092 83304 85072 88344 90246 95706 97344 105456 109203 111072 117792 118638 120328 124956 127608 135369 138242 140608 143559 145604 146016 153792 158184 166608 170144 176688 180492 191412 195533 207363 210912 218406 222144 235584 237276 240656 249912 255216 270738 276484 287118 291208 292032 316368 327609 333216 340288 353376 360984 382824 391066 406107 414726 421824 436812 473213 474552 481312 499824 510432 541476 552968 574236 582416 586599 622089 632736 655218 666432 706752 721968 765648 782132 812214 829452 873624 898573 946426 949104 962624 982827 999648 1020864 1082952 1105936 1148472 1164832 1173198 1244178 1265472 1310436 1419639 1443936 1531296 1564264 1624428 1658904 1747248 1759797 1797146 1866267 1892852 1898208 1965654 1999296 2165904 2211872 2296944 2329664 2346396 2488356 2620872 2695719 2839278 2887872 3062592 3128528 3248856 3317808 3494496 3519594 3594292 3732534 3785704 3796416 3931308 4258917 4331808 4423744 4593888 4692792 4976712 5241744 5279391 5391438 5678556 6151769 6257056 6497712 6635616 6988992 7039188 7188584 7465068 7571408 7862616 8087157 8517834 8663616 9187776 9385584 9953424 10483488 10558782 10782876 11357112 12303538 12514112 12776751 12995424 13271232 14078376 14377168 14930136 15142816 15725232 16174314 17035668 18455307 18771168 19906848 20966976 21117564 21565752 22714224 24261471 24607076 25553502 25990848 28156752 28754336 29860272 30285632 31450464 32348628 34071336 36910614 37542336 39813696 42235128 43131504 45428448 48522942 49214152 51107004 55365921 56313504 57508672 59720544 62900928 64697256 68142672 73821228 79972997 84470256 86263008 90856896 97045884 98428304 102214008 110731842 112627008 119441088 129394512 136285344 147642456 159945994 166097763 168940512 172526016 194091768 196856608 204428016 221463684 239918991 258789024 272570688 295284912 319891988 332195526 337881024 388183536 393713216 408856032 442927368 479837982 517578048 590569824 639783976 664391052 719756973 776367072 817712064 885854736 959675964 1181139648 1279567952 1328782104 1439513946 1552734144 1771709472 1919351928 2159270919 2559135904 2657564208 2879027892 3543418944 3838703856 4318541838 5118271808 5315128416 5758055784 7677407712 8637083676 10630256832 11516111568 15354815424 17274167352 23032223136 34548334704 46064446272 69096669408 138193338816
• Sum of all divisors σ(n): 446135760000
• Sum of proper divisors (its aliquot sum) s(n): 307942421184
• 138193338816 is an abundant number, because the sum of its proper divisors (307942421184) is greater than itself. Its abundance is 169749082368

Bases of 138193338816

• Binary: 10000000101100111101110000000111000000₂
• Hexadecimal: 0x202CF701C0
• Base-36: 1RHGQUO0

Squares and roots of 138193338816

• 138193338816 squared (138193338816²) is 19097398893113772281856
• 138193338816 cubed (138193338816³) is 2639133315740374902182395657322496
• The square root of 138193338816 is 371743.6466383791
• The cube root of 138193338816 is 5170.0614286093

Scales and comparisons

• 138,193,338,816 seconds is equal to 4,394 years, 6 weeks, 1 day, 22 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,193,338,816 would take you about eight thousand, seven hundred eighty-eight 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 138193338816 cubic inches would be around 430.8 feet tall.

Recreational maths with 138193338816

• 138193338816 backwards is 618833391831
• 138193338816 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138193338816's digits is 54
• More coming soon!