138916799917632

Names of 138916799917632

• Cardinal: 138916799917632 can be written as One hundred thirty-eight trillion, nine hundred sixteen billion, seven hundred ninety-nine million, nine hundred seventeen thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 1.38916799917632 × 10¹⁴

Factors of 138916799917632

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2012

Divisors of 138916799917632

• Number of divisors d(n): 784
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 64 66 69 72 88 92 96 99 108 121 132 138 144 176 184 192 198 207 216 242 253 264 276 288 297 352 363 368 396 414 432 484 506 528 552 576 594 621 704 726 736 759 792 828 864 968 1012 1056 1089 1104 1188 1242 1331 1452 1472 1518 1584 1656 1728 1936 1973 2024 2112 2178 2208 2277 2376 2484 2662 2783 2904 3036 3168 3267 3312 3872 3946 3993 4048 4356 4416 4554 4752 4968 5324 5566 5808 5919 6072 6336 6534 6624 6831 7744 7892 7986 8096 8349 8712 9108 9504 9936 10648 11132 11616 11838 11979 12144 13068 13248 13662 14641 15784 15972 16192 16698 17424 17757 18216 19008 19872 21296 21703 22264 23232 23676 23958 24288 25047 26136 27324 29282 30613 31568 31944 33396 34848 35514 35937 36432 39744 42592 43406 43923 44528 45379 47352 47916 48576 50094 52272 53271 54648 58564 61226 63136 63888 65109 66792 69696 71028 71874 72864 75141 85184 86812 87846 89056 90758 91839 94704 95832 100188 104544 106542 109296 117128 122452 126272 127776 130218 131769 133584 136137 142056 143748 145728 150282 161051 173624 175692 178112 181516 183678 189408 191664 195327 200376 209088 213084 218592 234256 238733 244904 255552 260436 263538 267168 272274 275517 284112 287496 300564 322102 336743 347248 351384 363032 367356 378816 383328 390654 395307 400752 408411 426168 437184 468512 477466 483153 489808 499169 520872 527076 534336 544548 551034 568224 574992 585981 601128 644204 673486 694496 702768 716199 726064 734712 766656 781308 790614 801504 816822 826551 852336 937024 954932 966306 979616 998338 1010229 1041744 1054152 1089096 1102068 1136448 1149984 1171962 1202256 1225233 1288408 1346972 1388992 1405536 1432398 1449459 1452128 1469424 1497507 1562616 1581228 1603008 1633644 1653102 1704672 1771561 1909864 1932612 1959232 1996676 2020458 2083488 2108304 2148597 2178192 2204136 2299968 2343924 2404512 2450466 2576816 2626063 2693944 2811072 2864796 2898918 2904256 2938848 2995014 3030687 3125232 3162456 3267288 3306204 3409344 3543122 3704173 3819728 3865224 3993352 4040916 4166976 4216608 4297194 4348377 4356384 4408272 4492521 4687848 4809024 4900932 5153632 5252126 5314683 5387888 5490859 5729592 5797836 5877696 5990028 6061374 6250464 6324912 6445791 6534576 6612408 7086244 7408346 7639456 7730448 7878189 7986704 8081832 8433216 8594388 8696754 8712768 8816544 8985042 9092061 9375696 9801864 10307264 10504252 10629366 10775776 10981718 11112519 11459184 11595672 11980056 12122748 12500928 12649824 12891582 13069152 13224816 13477563 14172488 14816692 15278912 15460896 15756378 15944049 15973408 16163664 16472577 17188776 17393508 17633088 17970084 18184122 18751392 19603728 21008504 21258732 21551552 21963436 22225038 22918368 23191344 23634567 23960112 24245496 25299648 25783164 26138304 26449632 26955126 28344976 28886693 29633384 30921792 31512756 31888098 31946816 32327328 32945154 33337557 34377552 34787016 35940168 36368244 37502784 39207456 40745903 42017008 42517464 43926872 44450076 45836736 46382688 47269134 47832147 47920224 48490992 49417731 51566328 52899264 53910252 56689952 57773386 59266768 60399449 63025512 63776196 64654656 65890308 66675114 68755104 69574032 70903701 71880336 72736488 78414912 81491806 84034016 85034928 86660079 87853744 88900152 92765376 94538268 95664294 95840448 96981984 98835462 100012671 103132656 107820504 113379904 115546772 118533536 120798898 122237709 126051024 127552392 131780616 133350228 137510208 139148064 141807402 143760672 145472976 148253193 162983612 168068032 170069856 173320158 175707488 177800304 181198347 189076536 191328588 193963968 197670924 200025342 206265312 215641008 231093544 237067072 241597796 244475418 252102048 255104784 259980237 263561232 266700456 278296128 283614804 287521344 290945952 296506386 317753623 325967224 340139712 346640316 351414976 355600608 362396694 366713127 378153072 382657176 395341848 400050684 412530624 431282016 462187088 483195592 488950836 504204096 510209568 519960474 527122464 533400912 543595041 567229608 581891904 593012772 635507246 651934448 664393939 693280632 711201216 724793388 733426254 756306144 765314352 779940711 790683696 800101368 862564032 924374176 953260869 966391184 977901672 1020419136 1039920948 1054244928 1066801824 1087190082 1100139381 1134459216 1186025544 1271014492 1303868896 1328787878 1386561264 1449586776 1466852508 1512612288 1530628704 1559881422 1581367392 1600202736 1630785123 1848748352 1906521738 1932782368 1955803344 1993181817 2079841896 2133603648 2174380164 2200278762 2268918432 2372051088 2542028984 2607737792 2657575756 2773122528 2859782607 2899173552 2933705016 3061257408 3119762844 3162734784 3200405472 3261570246 3495289853 3813043476 3865564736 3911606688 3986363634 4159683792 4348760328 4400557524 4537836864 4744102176 5084057968 5315151512 5546245056 5719565214 5798347104 5867410032 5979545451 6239525688 6400810944 6523140492 6990579706 7308333329 7626086952 7823213376 7972727268 8319367584 8579347821 8697520656 8801115048 9488204352 10168115936 10485869559 10630303024 11439130428 11596694208 11734820064 11959090902 12479051376 13046280984 13981159412 14616666658 15252173904 15945454536 16638735168 17158695642 17395041312 17602230096 17938636353 20336231872 20971739118 21260606048 21924999987 22878260856 23469640128 23918181804 24958102752 26092561968 27962318824 29233333316 30504347808 31457608677 31890909072 34317391284 34790082624 35204460192 35877272706 41943478236 42521212096 43849999974 45756521712 47836363608 49916205504 52185123936 55924637648 58466666632 61008695616 62915217354 63781818144 65774999961 68634782568 70408920384 71754545412 80391666619 83886956472 87699999948 91513043424 94372826031 95672727216 104370247872 111849275296 116933333264 125830434708 127563636288 131549999922 137269565136 143509090824 160783333238 167773912944 175399999896 183026086848 188745652062 191345454432 197324999883 223698550592 233866666528 241174999857 251660869416 263099999844 274539130272 287018181648 321566666476 335547825888 350799999792 377491304124 382690908864 394649999766 467733333056 482349999714 503321738832 526199999688 549078260544 574036363296 643133332952 671095651776 701599999584 723524999571 754982608248 789299999532 964699999428 1006643477664 1052399999376 1148072726592 1286266665904 1403199999168 1447049999142 1509965216496 1578599999064 1929399998856 2013286955328 2104799998752 2170574998713 2572533331808 2894099998284 3019930432992 3157199998128 3858799997712 4209599997504 4341149997426 5145066663616 5788199996568 6039860865984 6314399996256 7717599995424 8682299994852 11576399993136 12628799992512 15435199990848 17364599989704 23152799986272 34729199979408 46305599972544 69458399958816 138916799917632
• Sum of all divisors σ(n): 468997876287360
• Sum of proper divisors (its aliquot sum) s(n): 330081076369728
• 138916799917632 is an abundant number, because the sum of its proper divisors (330081076369728) is greater than itself. Its abundance is 191164276452096

Bases of 138916799917632

• Binary: 11111100101100000010110100000110010111001000000₂
• Hexadecimal: 0x7E5816832E40
• Base-36: 1D8PHVY1C0

Squares and roots of 138916799917632

• 138916799917632 squared (138916799917632²) is 19297877299355402041984487424
• 138916799917632 cubed (138916799917632³) is 2680799359629566956992644887188144939859968
• The square root of 138916799917632 is 11786297.1249511609
• The cube root of 138916799917632 is 51790.6772424429

Scales and comparisons

• 138,916,799,917,632 seconds is equal to 4,417,124 years, 28 weeks, 9 hours, 7 minutes, 12 seconds.
• To count from 1 to 138,916,799,917,632 would take you about eleven million, forty-two thousand, eight hundred eleven 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 138916799917632 cubic inches would be around 4315.9 feet tall.

Recreational maths with 138916799917632

• 138916799917632 backwards is 236719997619831
• The number of decimal digits it has is: 15
• The sum of 138916799917632's digits is 81
• More coming soon!