138815385621696

Names of 138815385621696

• Cardinal: 138815385621696 can be written as One hundred thirty-eight trillion, eight hundred fifteen billion, three hundred eighty-five million, six hundred twenty-one thousand, six hundred ninety-six.

Scientific notation

• Scientific notation: 1.38815385621696 × 10¹⁴

Factors of 138815385621696

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 326

Divisors of 138815385621696

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 49 56 62 63 64 72 84 93 96 98 112 124 126 144 147 168 186 192 196 217 224 248 252 279 283 288 294 336 343 372 392 434 441 448 496 504 558 566 576 588 651 672 686 744 784 849 868 882 992 1008 1029 1116 1132 1176 1302 1344 1372 1488 1519 1568 1698 1736 1764 1953 1981 1984 2016 2058 2232 2264 2352 2547 2604 2744 2976 3038 3087 3136 3396 3472 3528 3906 3962 4032 4116 4464 4528 4557 4704 5094 5208 5488 5943 5952 6076 6174 6792 6944 7056 7812 7924 8232 8773 8928 9056 9114 9408 10188 10416 10633 10976 11886 12152 12348 13584 13671 13867 13888 14112 15624 15848 16464 17546 17829 17856 18112 18228 20376 20832 21266 21952 23772 24304 24696 26319 27168 27342 27734 28224 31248 31696 31899 32928 35092 35658 36456 40752 41601 41664 42532 47544 48608 49392 52638 54336 54684 55468 61411 62496 63392 63798 65856 70184 71316 72912 78957 80089 81504 83202 85064 95088 95697 97069 97216 98784 105276 109368 110936 122822 124803 124992 126784 127596 140368 142632 145824 157914 160178 163008 166404 170128 184233 190176 191394 194138 197568 210552 218736 221872 240267 245644 249606 255192 280736 285264 291207 291648 315828 320356 332808 340256 368466 380352 382788 388276 421104 429877 437472 443744 480534 491288 499212 510384 552699 560623 561472 570528 582414 631656 640712 665616 680512 720801 736932 765576 776552 842208 859754 873621 874944 887488 961068 982576 998424 1020768 1105398 1121246 1141056 1164828 1263312 1281424 1289631 1331232 1441602 1473864 1531152 1553104 1681869 1684416 1719508 1747242 1922136 1965152 1996848 2041536 2210796 2242492 2329656 2482759 2526624 2562848 2579262 2662464 2883204 2947728 3009139 3062304 3106208 3363738 3439016 3494484 3844272 3868893 3924361 3930304 3993696 4421592 4484984 4659312 4965518 5045607 5053248 5125696 5158524 5766408 5895456 6018278 6124608 6212416 6727476 6878032 6988968 7448277 7688544 7737786 7848722 7987392 8843184 8969968 9027417 9318624 9931036 10091214 10317048 11532816 11773083 11790912 12036556 13454952 13756064 13977936 14896554 15377088 15475572 15697444 17379313 17686368 17939936 18054834 18637248 19862072 20182428 20634096 22344831 22665187 23065632 23546166 24073112 26909904 27082251 27470527 27512128 27955872 29793108 30951144 31394888 34758626 35319249 35372736 35879872 36109668 39724144 40364856 41268192 44689662 45330374 46131264 47092332 48146224 52137939 53819808 54164502 54941054 55911744 59586216 61902288 62789776 67995561 69517252 70638498 72219336 79448288 80729712 82411581 82536384 89379324 90660748 94184664 96292448 104275878 107639616 108329004 109882108 119172432 121655191 123804576 125579552 135991122 139034504 141276996 144438672 156413817 158656309 158896576 161459424 164823162 178758648 181321496 188369328 192584896 203986683 208551756 216658008 219764216 238344864 243310382 247234743 247609152 251159104 271982244 278069008 282553992 288877344 312827634 317312618 322918848 329646324 357517296 362642992 364965573 376738656 407973366 417103512 433316016 439528432 475968927 476689728 486620764 494469486 543964488 556138016 565107984 577754688 625655268 634625236 659292648 702620797 715034592 725285984 729931146 753477312 815946732 834207024 851586337 866632032 879056864 951937854 973241528 988938972 1087928976 1094896719 1110594163 1112276032 1130215968 1251310536 1269250472 1318585296 1405241594 1427906781 1430069184 1450571968 1459862292 1631893464 1668414048 1703172674 1733264064 1758113728 1903875708 1946483056 1977877944 2107862391 2175857952 2189793438 2221188326 2260431936 2502621072 2538500944 2554759011 2637170592 2810483188 2855813562 2919724584 3263786928 3331782489 3336828096 3406345348 3807751416 3892966112 3955755888 4215724782 4351715904 4379586876 4442376652 4918345579 5005242144 5077001888 5109518022 5274341184 5620966376 5711627124 5839449168 6323587173 6527573856 6663564978 6812690696 7615502832 7664277033 7774159141 7785932224 7911511776 8431449564 8759173752 8884753304 9836691158 9995347467 10010484288 10154003776 10219036044 11241932752 11423254248 11678898336 12647174346 13055147712 13327129956 13625381392 14755036737 15231005664 15328554066 15548318282 15823023552 16862899128 17518347504 17769506608 19673382316 19990694934 20438072088 22483865504 22846508496 23322477423 23357796672 25294348692 26654259912 27250762784 29510073474 30462011328 30657108132 31096636564 33725798256 34428419053 35036695008 35539013216 39346764632 39981389868 40876144176 44265110211 44967731008 45693016992 46644954846 50588697384 53308519824 54501525568 59020146948 61314216264 62193273128 67451596512 68856838106 69967432269 70073390016 71078026432 78693529264 79962779736 81752288352 88530220422 91386033984 93289909692 101177394768 103285257159 106617039648 118040293896 122628432528 124386546256 134903193024 137713676212 139934864538 157387058528 159925559472 163504576704 177060440844 186579819384 202354789536 206570514318 213234079296 236080587792 240998933371 245256865056 248773092512 275427352424 279869729076 309855771477 314774117056 319851118944 354120881688 373159638768 404709579072 413141028636 472161175584 481997866742 490513730112 497546185024 550854704848 559739458152 619711542954 639702237888 708241763376 722996800113 746319277536 826282057272 944322351168 963995733484 1101709409696 1119478916304 1239423085908 1416483526752 1445993600226 1492638555072 1652564114544 1927991466968 2168990400339 2203418819392 2238957832608 2478846171816 2832967053504 2891987200452 3305128229088 3855982933936 4337980800678 4477915665216 4957692343632 5783974400904 6610256458176 7711965867872 8675961601356 9915384687264 11567948801808 15423931735744 17351923202712 19830769374528 23135897603616 34703846405424 46271795207232 69407692810848 138815385621696
• Sum of all divisors σ(n): 480677370368000
• Sum of proper divisors (its aliquot sum) s(n): 341861984746304
• 138815385621696 is an abundant number, because the sum of its proper divisors (341861984746304) is greater than itself. Its abundance is 203046599124608

Bases of 138815385621696

• Binary: 11111100100000001111001101111111101010011000000₂
• Hexadecimal: 0x7E4079BFD4C0
• Base-36: 1D7EWOHPS0

Squares and roots of 138815385621696

• 138815385621696 squared (138815385621696²) is 19269711285300164572425916416
• 138815385621696 cubed (138815385621696³) is 2674932402887689612910635085283762692161536
• The square root of 138815385621696 is 11781994.1275531113
• The cube root of 138815385621696 is 51778.0711508419

Scales and comparisons

• 138,815,385,621,696 seconds is equal to 4,413,899 years, 45 weeks, 4 days, 19 hours, 21 minutes, 36 seconds.
• To count from 1 to 138,815,385,621,696 would take you about eleven million, thirty-four thousand, seven hundred forty-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 138815385621696 cubic inches would be around 4314.8 feet tall.

Recreational maths with 138815385621696

• 138815385621696 backwards is 696126583518831
• 138815385621696 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138815385621696's digits is 72
• More coming soon!