138680766224

Names of 138680766224

• Cardinal: 138680766224 can be written as One hundred thirty-eight billion, six hundred eighty million, seven hundred sixty-six thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.38680766224 × 10¹¹

Factors of 138680766224

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 385

Divisors of 138680766224

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 11 13 14 16 19 22 26 28 31 38 44 52 56 61 62 76 77 88 91 104 112 122 124 133 143 152 154 176 182 208 209 217 241 244 247 248 266 286 304 308 341 364 403 418 427 434 482 488 494 496 532 572 589 616 671 682 728 793 806 836 854 868 964 976 988 1001 1064 1144 1159 1178 1232 1342 1364 1456 1463 1586 1612 1672 1687 1708 1729 1736 1891 1928 1976 2002 2128 2288 2318 2356 2387 2651 2684 2717 2728 2821 2926 3133 3172 3224 3344 3374 3416 3458 3472 3782 3856 3952 4004 4123 4433 4579 4636 4697 4712 4774 5302 5368 5434 5456 5551 5642 5852 6266 6344 6448 6479 6748 6832 6916 7471 7564 7657 8008 8113 8246 8723 8866 9158 9272 9394 9424 9548 10604 10736 10868 11102 11284 11704 12532 12688 12749 12958 13237 13496 13832 14701 14942 15067 15128 15314 16016 16226 16492 17446 17732 18316 18544 18557 18788 19019 19096 20801 21208 21736 21931 22204 22568 23408 24583 25064 25498 25916 26474 26992 27664 29402 29884 30134 30256 30628 31031 32053 32452 32984 34463 34892 35464 35929 36632 37114 37576 38038 38192 41602 42416 43472 43862 44408 45136 45353 49166 50128 50369 50996 51832 52297 52948 53599 58804 59527 59768 60268 61061 61256 62062 64106 64904 65968 68926 69784 70928 71858 73264 74228 75152 76076 82181 83204 84227 87724 88816 89243 90706 97123 98332 100738 101992 102907 103664 104594 105469 105896 107198 117608 119054 119536 120536 122122 122512 124124 128212 129808 137852 139568 141949 143716 145607 148456 152152 161711 164362 165737 166408 168454 172081 175448 178486 181412 191113 194246 196664 201476 203984 205814 209188 210938 211792 214396 235216 238108 241072 241241 244244 248248 251503 256424 270413 275704 279319 283898 287432 291214 296912 304304 323422 328724 331474 332816 336908 344162 350896 352583 356972 362824 382226 388492 393328 395219 402952 411628 416689 418376 421876 428792 455731 467077 476216 482482 488488 496496 503006 512848 540826 551408 558638 567796 574864 575267 582428 589589 646844 654797 657448 662948 673816 679861 688324 705166 713944 725648 764452 776984 790438 805904 823256 833378 836752 843752 857584 911462 934154 952432 964964 976976 993643 1006012 1068353 1081652 1117276 1131977 1135592 1150534 1160159 1164856 1179178 1293688 1309594 1314896 1325896 1337791 1347632 1359722 1376648 1410332 1427888 1528904 1553968 1561439 1580876 1646512 1666756 1687504 1822924 1845337 1868308 1892891 1929928 1955233 1987286 2012024 2102243 2136706 2163304 2234552 2263954 2271184 2301068 2320318 2329712 2358356 2587376 2619188 2651792 2675582 2719444 2753296 2766533 2820664 3057808 3072509 3122878 3161752 3190117 3269539 3333512 3631147 3645848 3690674 3736616 3785782 3859856 3910466 3974572 4024048 4204486 4273412 4326608 4469104 4527908 4583579 4602136 4640636 4716712 5013041 5137847 5238376 5351164 5438888 5533066 5641328 5924503 6145018 6245756 6323504 6380234 6539078 6667024 7262294 7291696 7381348 7473232 7478471 7571564 7820932 7949144 8408972 8546824 8658889 9055816 9167158 9204272 9281272 9433424 10026082 10275694 10476752 10702328 10877776 10930073 11066132 11849006 12290036 12491512 12760468 12917359 13078156 14524588 14715701 14762696 14956942 15143128 15641864 15898288 16817944 17093648 17317778 18111632 18334316 18562544 20052164 20298707 20551388 21404656 21507563 21860146 22132264 23698012 24580072 24983024 25418029 25520936 25834718 26156312 29049176 29431402 29525392 29913884 30286256 31283728 33635888 34635556 35091287 35964929 36668632 39942617 40104328 40597414 41102776 41471521 43015126 43720292 44264528 47396024 49160144 50836058 51041872 51669436 52312624 58098352 58862804 59827768 60612223 65169533 69271112 70182574 71929858 73337264 79885234 80208656 81194828 82205552 82943042 86030252 87440584 94792048 95247779 101672116 103338872 112565557 117725608 119655536 121224446 130339066 138542224 140365148 142090949 143859716 159770468 162389656 165886084 172060504 174881168 190495558 203344232 206677744 225131114 235451216 242448892 260678132 279598319 280730296 284181898 287719432 319540936 324779312 331772168 344121008 380991116 406688464 450262228 456186731 484897784 521356264 559196638 561460592 568363796 575438864 639081872 663544336 666734453 761982232 787958899 900524456 912373462 969795568 1042712528 1118393276 1136727592 1238221127 1333468906 1523964464 1575917798 1801048912 1824746924 2236786552 2273455184 2476442254 2666937812 3151835596 3649493848 4473573104 4952884508 5333875624 6303671192 7298987696 8667547889 9905769016 10667751248 12607342384 17335095778 19811538032 34670191556 69340383112 138680766224
• Sum of all divisors σ(n): 400081059840
• Sum of proper divisors (its aliquot sum) s(n): 261400293616
• 138680766224 is an abundant number, because the sum of its proper divisors (261400293616) is greater than itself. Its abundance is 122719527392

Bases of 138680766224

• Binary: 10000001001010000001001000111100010000₂
• Hexadecimal: 0x204A048F10
• Base-36: 1RPIY428

Squares and roots of 138680766224

• 138680766224 squared (138680766224²) is 19232354920475739218176
• 138680766224 cubed (138680766224³) is 2667157716663492101379454387687424
• The square root of 138680766224 is 372398.6657118953
• The cube root of 138680766224 is 5176.1328080783

Scales and comparisons

• 138,680,766,224 seconds is equal to 4,409 years, 32 weeks, 1 day, 11 hours, 3 minutes, 44 seconds.
• To count from 1 to 138,680,766,224 would take you about eight thousand, eight 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 138680766224 cubic inches would be around 431.3 feet tall.

Recreational maths with 138680766224

• 138680766224 backwards is 422667086831
• The number of decimal digits it has is: 12
• The sum of 138680766224's digits is 53
• More coming soon!