138908919370100

Names of 138908919370100

• Cardinal: 138908919370100 can be written as One hundred thirty-eight trillion, nine hundred eight billion, nine hundred nineteen million, three hundred seventy thousand, one hundred.

Scientific notation

• Scientific notation: 1.389089193701 × 10¹⁴

Factors of 138908919370100

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 177

Divisors of 138908919370100

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 5 10 11 20 22 25 29 44 50 55 58 59 71 100 110 116 118 121 142 145 220 236 242 275 284 290 295 319 355 484 550 580 590 605 638 649 710 725 781 1100 1180 1210 1276 1298 1331 1420 1450 1475 1562 1595 1711 1775 2059 2420 2596 2662 2900 2950 3025 3124 3190 3245 3422 3509 3550 3905 4118 4189 5041 5324 5900 6050 6380 6490 6655 6844 7018 7100 7139 7810 7975 8236 8378 8555 8591 10082 10295 12100 12980 13310 14036 14278 14641 15620 15950 16225 16756 17110 17182 17545 18821 19525 20164 20590 20945 22649 25205 26620 28556 29282 31900 32450 33275 34220 34364 35090 35695 37642 38599 39050 41180 41890 42775 42955 45298 46079 50410 51475 55451 58564 64900 66550 70180 71390 73205 75284 77198 78100 78529 83780 85550 85910 87725 90596 92158 94105 94501 100820 102950 104725 110902 113245 121481 126025 133100 142780 146189 146410 154396 157058 161051 171100 171820 175450 178475 184316 188210 189002 192995 205900 207031 209450 214775 221804 226490 230395 242962 249139 252050 277255 292378 292820 297419 314116 322102 350900 356950 366025 376420 378004 385990 392645 414062 418900 424589 429550 452980 460790 470525 472505 485924 498278 504100 506869 554510 566225 584756 594838 607405 609961 644204 713900 730945 732050 771980 785290 805255 828124 849178 859100 863819 921580 941050 945010 964975 996556 1013738 1035155 1039511 1109020 1132450 1151975 1189676 1214810 1219922 1245695 1336291 1386275 1461890 1464100 1487095 1570580 1608079 1610510 1698356 1727638 1882100 1890020 1929950 1963225 2027476 2070310 2079022 2122945 2264900 2277341 2303950 2362525 2429620 2439844 2491390 2534345 2672582 2740529 2772550 2923780 2974190 3037025 3049805 3216158 3221020 3271609 3455276 3654725 3859900 3926450 4026275 4140620 4158044 4245890 4319095 4554682 4607900 4670479 4725050 4982780 5068690 5175775 5197555 5345164 5481058 5545100 5575559 5948380 6074050 6099610 6228475 6432316 6543218 6681455 6709571 7309450 7435475 7852900 8040395 8052550 8491780 8625151 8638190 9109364 9340958 9450100 9502009 10137380 10351550 10395110 10614725 10962116 11151118 11386705 11434621 12148100 12199220 12456950 12671725 13086436 13362910 13419142 13702645 14618900 14699201 14870950 15249025 16080790 16105100 16358045 17250302 17276380 17688869 18681916 19004018 20703100 20790220 21229450 21595475 22302236 22773410 22869242 23352395 24913900 25050751 25343450 25987775 26725820 26838284 27405290 27877795 29398402 29741900 30145819 30498050 32161580 32716090 33407275 33547855 34500604 35377738 35987699 38008036 40201975 42458900 43125755 43190950 45546820 45738484 46704790 47510045 50101502 50686900 51975550 54810580 55755590 56933525 57173105 58796804 60291638 60996100 61331149 65432180 66814550 67095710 68513225 70755476 71975398 73496005 73805281 80403950 81790225 86251510 86381900 88444345 93409580 94876661 95020090 100203004 103951100 111511180 113867050 114346210 116761975 120583276 122662298 125253755 133629100 134191420 137026450 139388975 143950796 146992010 147610562 150729095 160807900 161691211 163580450 167739275 172503020 176888690 179938495 189753322 190040180 194577559 215628775 227734100 228692420 233523950 237550225 245324596 250507510 274052900 275558261 278777950 285865525 293984020 295221124 301458190 306655745 323382422 327160900 331604009 335478550 353777380 359876990 367480025 369026405 379506644 389155118 395864689 431257550 442221725 467047900 474383305 475100450 501015020 551116522 557555900 571731050 602916380 613311490 626268775 646764844 663208018 670957100 674642639 719753980 734960050 738052810 753645475 778310236 791729378 808456055 811858091 862515100 884443450 899692475 948766610 950200900 972887795 1043643271 1102233044 1143462100 1226622980 1252537550 1326416036 1349285278 1377791305 1469920100 1476105620 1507290950 1533278725 1583458756 1616912110 1623716182 1658020045 1768886900 1778603321 1799384950 1845132025 1897533220 1945775590 1979323445 2087286542 2140353149 2371916525 2505075100 2698570556 2755582610 3014581900 3066557450 3233824220 3247432364 3316040090 3373213195 3557206642 3598769900 3690264050 3891551180 3958646890 4042280275 4059290455 4174573084 4280706298 4354511579 4743833050 4864438975 5218216355 5511165220 6133114900 6632080180 6746426390 6888956525 7114413284 7380528100 7917293780 8084560550 8118580910 8290100225 8561412596 8709023158 8893016605 9487666100 9728877950 9896617225 10436432710 10701765745 11480075981 13492852780 13777913050 16169121100 16237161820 16580200450 16866065975 17418046316 17786033210 19457755900 19564636531 19793234450 20296452275 20872865420 21403531490 21772557895 22960151962 23543884639 26091081775 27555826100 33160400900 33732131950 35572066420 39129273062 39586468900 40592904550 42807062980 43545115790 44465083025 45920303924 47087769278 47899627369 52182163550 53508828725 57400379905 67464263900 78258546124 81185809100 87090231580 88930166050 94175538556 95799254738 97823182655 104364327100 107017657450 108862789475 114800759810 117719423195 126280835791 177860332100 191598509476 195646365310 214035314900 217725578950 229601519620 235438846390 239498136845 252561671582 287001899525 391292730620 435451157900 470877692780 478996273690 489115913275 505123343164 574003799050 588597115975 631404178955 957992547380 978231826550 1148007598100 1177194231950 1197490684225 1262808357910 1389089193701 1956463653100 2354388463900 2394981368450 2525616715820 2778178387402 3157020894775 4789962736900 5556356774804 6314041789550 6945445968505 12628083579100 13890891937010 27781783874020 34727229842525 69454459685050 138908919370100
• Sum of all divisors σ(n): 353804944096800
• Sum of proper divisors (its aliquot sum) s(n): 214896024726700
• 138908919370100 is an abundant number, because the sum of its proper divisors (214896024726700) is greater than itself. Its abundance is 75987105356600

Bases of 138908919370100

• Binary: 11111100101011001000000110010111001000101110100₂
• Hexadecimal: 0x7E5640CB9174
• Base-36: 1D8LVK2JXW

Squares and roots of 138908919370100

• 138908919370100 squared (138908919370100²) is 19295687880568942980774010000
• 138908919370100 cubed (138908919370100³) is 2680343151992567059030521309579651101000000
• The square root of 138908919370100 is 11785962.8104834949
• The cube root of 138908919370100 is 51789.6978873855

Scales and comparisons

• 138,908,919,370,100 seconds is equal to 4,416,873 years, 50 weeks, 8 hours, 8 minutes, 20 seconds.
• To count from 1 to 138,908,919,370,100 would take you about eleven million, forty-two thousand, one hundred eighty-four 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 138908919370100 cubic inches would be around 4315.8 feet tall.

Recreational maths with 138908919370100

• 138908919370100 backwards is 001073919809831
• 138908919370100 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138908919370100's digits is 59
• More coming soon!