138009618407232

Names of 138009618407232

• Cardinal: 138009618407232 can be written as One hundred thirty-eight trillion, nine billion, six hundred eighteen million, four hundred seven thousand, two hundred thirty-two.

Scientific notation

• Scientific notation: 1.38009618407232 × 10¹⁴

Factors of 138009618407232

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 600

Divisors of 138009618407232

• Number of divisors d(n): 560
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 81 88 96 99 104 108 117 132 143 144 156 162 176 192 198 208 216 234 264 286 288 297 312 324 351 352 396 416 429 432 468 528 571 572 576 594 624 648 702 704 792 832 858 864 891 936 1053 1056 1142 1144 1188 1248 1287 1296 1404 1584 1713 1716 1728 1782 1872 2106 2112 2284 2288 2376 2496 2574 2592 2808 3168 3426 3432 3564 3744 3861 4212 4568 4576 4752 5139 5148 5184 5616 6281 6336 6852 6864 7128 7423 7488 7722 8424 9136 9152 9504 10278 10296 11232 11583 12562 13704 13728 14256 14846 15417 15444 16848 18272 18843 19008 20556 20592 22269 22464 23166 25124 27408 27456 28512 29692 30834 30888 33696 36544 37686 41112 41184 44538 46251 46332 50248 54816 56529 57024 59384 61668 61776 66807 67392 75372 81653 82224 82368 89076 92502 92664 100496 109632 113058 118768 123336 123552 133614 150744 163306 164448 169587 178152 185004 185328 200421 200992 226116 237536 244959 246672 247104 267228 301488 326041 326612 328896 339174 356304 370008 370656 400842 401984 452232 475072 489918 493344 508761 534456 601263 602976 652082 653224 678348 712608 734877 740016 741312 801684 904464 978123 979836 986688 1017522 1068912 1202526 1205952 1304164 1306448 1356696 1425216 1469754 1480032 1603368 1808928 1956246 1959672 2035044 2137824 2204631 2405052 2608328 2612896 2713392 2934369 2939508 2960064 3206736 3586451 3617856 3912492 3919344 4070088 4238533 4275648 4409262 4810104 5216656 5225792 5426784 5868738 5879016 6413472 6613893 7172902 7824984 7838688 8140176 8477066 8803107 8818524 9620208 10433312 10759353 10853568 11737476 11758032 12715599 12826944 13227786 14345804 15649968 15677376 16280352 16954132 17606214 17637048 19240416 20866624 21518706 23474952 23516064 25431198 26409321 26455572 28691608 31299936 32278059 32560704 33908264 35212428 35274096 38146797 38480832 43037412 46623863 46949904 47032128 50862396 52818642 52911144 57383216 62599872 64556118 67816528 70424856 70548192 76293594 86074824 93247726 93899808 96834177 101724792 105637284 105822288 114440391 114766432 129112236 135633056 139871589 140849712 141096384 152587188 172149648 186169411 186495452 187799616 193668354 203449584 211274568 211644576 228880782 229532864 258224472 271266112 279743178 281699424 290502531 305174376 343321173 344299296 372338822 372990904 387336708 406899168 419614767 422549136 423289152 457761564 516448944 558508233 559486356 563398848 581005062 610348752 686642346 688598592 744677644 745981808 774673416 813798336 839229534 845098272 915523128 1032897888 1117016466 1118972712 1162010124 1220697504 1258844301 1373284692 1489355288 1491963616 1549346832 1675524699 1678459068 1690196544 1831046256 2047863521 2065795776 2234032932 2237945424 2324020248 2420202343 2441395008 2517688602 2746569384 2978710576 2983927232 3098693664 3351049398 3356918136 3662092512 3776532903 4095727042 4468065864 4475890848 4648040496 4840404686 5026574097 5035377204 5493138768 5957421152 6143590563 6197387328 6702098796 6713836272 7260607029 7324185024 7553065806 8191454084 8936131728 8951781696 9296080992 9680809372 10053148194 10070754408 10986277536 11914842304 12287181126 13404197592 13427672544 14521214058 15079722291 15106131612 16382908168 17872263456 18430771689 18592161984 19361618744 20106296388 20141508816 21781821087 21972555072 24574362252 26622225773 26808395184 26855345088 29042428116 30159444582 30212263224 32765816336 35744526912 36861543378 38723237488 40212592776 40283017632 43563642174 49148724504 53244451546 53616790368 55292315067 58084856232 60318889164 60424526448 65345463261 65531632672 73723086756 77446474976 79866677319 80425185552 80566035264 87127284348 98297449008 106488903092 107233580736 110584630134 116169712464 120637778328 120849052896 130690926522 131063265344 147446173512 154892949952 159733354638 160850371104 165876945201 174254568696 196036389783 196594898016 212977806184 221169260268 232339424928 239600031957 241275556656 241698105792 261381853044 294892347024 319466709276 321700742208 331753890402 348509137392 392072779566 393189796032 425955612368 442338520536 464678849856 479200063914 482551113312 522763706088 589784694048 638933418552 663507780804 697018274784 718800095871 784145559132 851911224736 884677041072 958400127828 965102226624 1045527412176 1179569388096 1277866837104 1327015561608 1394036549568 1437600191742 1568291118264 1703822449472 1769354082144 1916800255656 2091054824352 2156400287613 2555733674208 2654031123216 2875200383484 3136582236528 3538708164288 3833600511312 4182109648704 4312800575226 5111467348416 5308062246432 5750400766968 6273164473056 7667201022624 8625601150452 10616124492864 11500801533936 12546328946112 15334402045248 17251202300904 23001603067872 34502404601808 46003206135744 69004809203616 138009618407232
• Sum of all divisors σ(n): 481468579335744
• Sum of proper divisors (its aliquot sum) s(n): 343458960928512
• 138009618407232 is an abundant number, because the sum of its proper divisors (343458960928512) is greater than itself. Its abundance is 205449342521280

Bases of 138009618407232

• Binary: 11111011000010011011110010001111101111101000000₂
• Hexadecimal: 0x7D84DE47DF40
• Base-36: 1CX4QRHW00

Squares and roots of 138009618407232

• 138009618407232 squared (138009618407232²) is 19046654772909789680589901824
• 138009618407232 cubed (138009618407232³) is 2628621557143564138760153836593730131591168
• The square root of 138009618407232 is 11747749.5039361475
• The cube root of 138009618407232 is 51677.6930888587

Scales and comparisons

• 138,009,618,407,232 seconds is equal to 4,388,278 years, 50 weeks, 4 days, 9 hours, 7 minutes, 12 seconds.
• To count from 1 to 138,009,618,407,232 would take you about ten million, nine hundred seventy thousand, six hundred ninety-seven 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 138009618407232 cubic inches would be around 4306.5 feet tall.

Recreational maths with 138009618407232

• 138009618407232 backwards is 232704816900831
• 138009618407232 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138009618407232's digits is 54
• More coming soon!