135458935040

Names of 135458935040

• Cardinal: 135458935040 can be written as One hundred thirty-five billion, four hundred fifty-eight million, nine hundred thirty-five thousand and forty.

Scientific notation

• Scientific notation: 1.3545893504 × 10¹¹

Factors of 135458935040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 211

Divisors of 135458935040

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 64 65 80 88 104 110 116 128 130 143 145 151 160 169 176 208 220 232 256 260 286 290 302 319 320 338 352 377 416 440 464 520 572 580 604 638 640 676 704 715 754 755 832 845 880 928 1040 1144 1160 1208 1276 1280 1352 1408 1430 1508 1510 1595 1661 1664 1690 1760 1856 1859 1885 1963 2080 2197 2288 2320 2416 2552 2704 2816 2860 3016 3020 3190 3322 3328 3380 3520 3712 3718 3770 3926 4147 4160 4379 4394 4576 4640 4832 4901 5104 5408 5720 6032 6040 6380 6644 6760 7040 7424 7436 7540 7852 8294 8305 8320 8758 8788 9152 9280 9295 9664 9802 9815 10208 10816 10985 11440 12064 12080 12760 13288 13520 14080 14872 15080 15704 16588 16610 16640 17516 17576 18304 18560 18590 19328 19604 19630 20416 20735 21593 21632 21895 21970 22880 24128 24160 24167 24505 25519 25520 26576 27040 29744 30160 31408 33176 33220 35032 35152 36608 37120 37180 38656 39208 39260 40832 41470 43186 43264 43790 43940 45760 48169 48256 48320 48334 49010 51038 51040 53152 53911 54080 56927 59488 60320 62816 63713 66352 66440 70064 70304 74360 78416 78520 81664 82940 86372 87580 87880 91520 96338 96512 96640 96668 98020 102076 102080 106304 107822 107965 108160 113854 118976 120640 120835 125632 127426 127595 132704 132880 140128 140608 148720 156832 157040 165880 172744 175160 175760 183040 192676 193280 193336 196040 204152 204160 212608 215644 215930 216320 227708 237952 240845 241280 241670 251264 254852 255190 265408 265760 269555 280256 280709 281216 284635 297440 313664 314080 318565 331747 331760 345488 350320 351520 385352 386672 392080 408304 408320 425216 431288 431860 455416 475904 481690 482560 483340 502528 509704 510380 530816 531520 539110 560512 561418 562432 569270 594880 626197 627328 628160 637130 663494 663520 690976 700640 700843 703040 740051 770704 773344 784160 816608 862576 863720 910832 963380 966680 1019408 1020760 1061632 1063040 1078220 1121024 1122836 1138540 1189760 1252394 1254656 1256320 1274260 1326988 1327040 1381952 1401280 1401686 1403545 1406080 1480102 1541408 1546688 1568320 1633216 1658735 1725152 1727440 1821664 1926760 1933360 2038816 2041520 2126080 2156440 2245672 2277080 2379520 2504788 2512640 2548520 2653976 2654080 2763904 2802560 2803372 2807090 2812160 2960204 3082816 3093376 3130985 3136640 3266432 3317470 3450304 3454880 3504215 3643328 3649217 3700255 3853520 3866720 4077632 4083040 4312880 4491344 4554160 5009576 5097040 5307952 5308160 5527808 5605120 5606744 5614180 5920408 6165632 6186752 6261970 6273280 6532864 6634940 6900608 6909760 7008430 7286656 7298434 7400510 7707040 7733440 8140561 8155264 8166080 8625760 8982688 9108320 9620663 10019152 10194080 10615904 11213488 11228360 11840816 12331264 12523940 13269880 13801216 13819520 14016860 14573312 14596868 14801020 15414080 15466880 16281122 16310528 16332160 17251520 17965376 18216640 18246085 19241326 20038304 20388160 21231808 22426976 22456720 23681632 25047880 26539760 27639040 28033720 29193736 29602040 30828160 30933760 32562244 32664320 34503040 35930752 36433280 36492170 38482652 40076608 40702805 40776320 42463616 44853952 44913440 47363264 48103315 50095760 53079520 56067440 58387472 59204080 61656320 65124488 69006080 71861504 72866560 72984340 76965304 80153216 81405610 81552640 84927232 89707904 89826880 94726528 96206630 100191520 105827293 106159040 112134880 116774944 118408160 130248976 145968680 153930608 160306432 162811220 179415808 179653760 189453056 192413260 200383040 211654586 212318080 224269760 233549888 236816320 260497952 291937360 307861216 325622440 359307520 384826520 400766080 423309172 424636160 448539520 467099776 473632640 520995904 529136465 583874720 615722432 651244880 769653040 801532160 846618344 897079040 934199552 947265280 1041991808 1058272930 1167749440 1231444864 1302489760 1539306080 1693236688 2083983616 2116545860 2335498880 2462889728 2604979520 3078612160 3386473376 4233091720 4670997760 5209959040 6157224320 6772946752 8466183440 10419918080 12314448640 13545893504 16932366880 27091787008 33864733760 67729467520 135458935040
• Sum of all divisors σ(n): 399296217600
• Sum of proper divisors (its aliquot sum) s(n): 263837282560
• 135458935040 is an abundant number, because the sum of its proper divisors (263837282560) is greater than itself. Its abundance is 128378347520

Bases of 135458935040

• Binary: 1111110001001111110110101000100000000₂
• Hexadecimal: 0x1F89FB5100
• Base-36: 1Q88R37K

Squares and roots of 135458935040

• 135458935040 squared (135458935040²) is 18349123082170939801600
• 135458935040 cubed (135458935040³) is 2485552671628757916760684888064000
• The square root of 135458935040 is 368047.4630261701
• The cube root of 135458935040 is 5135.7343606039

Scales and comparisons

• 135,458,935,040 seconds is equal to 4,307 years, 9 weeks, 17 hours, 57 minutes, 20 seconds.
• To count from 1 to 135,458,935,040 would take you about eight thousand, six hundred fourteen 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 135458935040 cubic inches would be around 428 feet tall.

Recreational maths with 135458935040

• 135458935040 backwards is 040539854531
• The number of decimal digits it has is: 12
• The sum of 135458935040's digits is 47
• More coming soon!