31746145198464

Names of 31746145198464

• Cardinal: 31746145198464 can be written as Thirty-one trillion, seven hundred forty-six billion, one hundred forty-five million, one hundred ninety-eight thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 3.1746145198464 × 10¹³

Factors of 31746145198464

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2300

Divisors of 31746145198464

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 64 68 72 87 96 102 116 127 128 136 144 153 174 192 204 232 233 254 261 272 288 306 348 381 384 408 464 466 493 508 522 544 576 612 696 699 762 816 928 932 986 1016 1044 1088 1143 1152 1224 1392 1398 1479 1524 1632 1856 1864 1889 1972 2032 2088 2097 2159 2176 2286 2448 2784 2796 2958 3048 3264 3683 3712 3728 3778 3944 3961 4064 4176 4194 4318 4437 4572 4896 5568 5592 5667 5916 6096 6477 6528 6757 7366 7456 7556 7888 7922 8128 8352 8388 8636 8874 9144 9792 11049 11136 11184 11334 11832 11883 12192 12954 13514 14732 14912 15112 15776 15844 16256 16704 16776 17001 17272 17748 18288 19431 19584 20271 22098 22368 22668 23664 23766 24384 25908 27028 29464 29591 29824 30224 31552 31688 32113 33147 33408 33552 34002 34544 35496 35649 36576 38862 40542 44196 44736 45336 47328 47532 48768 51816 54056 54781 58928 59182 60448 60813 62611 63104 63376 64226 66294 67104 68004 69088 70992 71298 73152 77724 81084 88392 88773 89472 90672 94656 95064 96339 103632 108112 109562 114869 117856 118364 120896 121626 125222 126752 128452 132588 134208 136008 138176 141984 142596 146304 155448 162168 164343 176784 177546 181344 187833 189312 190128 192678 207264 216224 219124 229738 235712 236728 239903 241792 243252 250444 253504 256904 265176 266319 268416 272016 276352 283968 285192 289017 310896 324336 328686 344607 353568 355092 362688 375666 380256 385356 414528 432448 438248 440137 459476 471424 473456 479806 486504 493029 500888 503047 507008 513808 530352 532638 544032 563499 567936 570384 578034 621792 648672 657372 689214 707136 710184 719709 725376 751332 760512 770712 829056 858139 864896 876496 880274 918952 931277 946912 959612 973008 986058 1001776 1006094 1027616 1033821 1060704 1065276 1088064 1126998 1140768 1156068 1243584 1297344 1314744 1320411 1378428 1414272 1420368 1439418 1502664 1509141 1521024 1541424 1716278 1752992 1760548 1837904 1862554 1893824 1919224 1946016 1972116 2003552 2012188 2055232 2067642 2121408 2130552 2159127 2176128 2253996 2281536 2312136 2487168 2574417 2594688 2629488 2640822 2756856 2793831 2840736 2878836 3005328 3018282 3082848 3432556 3505984 3521096 3675808 3725108 3787648 3838448 3892032 3944232 3961233 4007104 4024376 4078351 4110464 4135284 4242816 4261104 4318254 4507992 4527423 4563072 4624272 5148834 5258976 5281644 5513712 5587662 5681472 5757672 6010656 6036564 6165696 6865112 6957187 7011968 7042192 7351616 7450216 7482329 7676896 7723251 7784064 7888464 7922466 8014208 8048752 8156702 8270568 8381493 8522208 8636508 9015984 9054846 9248544 10297668 10517952 10563288 11027424 11175324 11362944 11515344 12021312 12073128 12235053 12331392 12763973 13730224 13914374 14084384 14588363 14703232 14900432 14964658 15353792 15446502 15776928 15844932 16097504 16313404 16541136 16762986 17044416 17273016 18031968 18109692 18497088 20595336 20871561 21035904 21126576 22054848 22350648 22446987 23030688 24042624 24146256 24470106 25527946 27460448 27828748 28168768 29176726 29800864 29929316 30707584 30893004 31553856 31689864 32195008 32626808 33082272 33525972 34088832 34546032 36063936 36219384 36705159 36994176 38291919 41190672 41743122 42253152 43765089 44109696 44701296 44893974 46061376 48292512 48940212 51055892 54920896 55657496 55897399 56337536 58353452 59601728 59858632 61786008 62614683 63107712 63379728 64390016 65253616 66164544 67051944 67340961 69092064 72127872 72438768 73410318 76583838 82381344 83486244 84506304 87530178 89402592 89787948 92122752 96585024 97880424 102111784 109841792 111314992 111794798 114875757 116706904 118272179 119203456 119717264 123572016 125229366 126759456 130507232 131295267 132329088 134103888 134681922 138184128 144877536 146820636 153167676 164762688 166972488 167692197 169012608 175060356 178805184 179575896 193170048 195760848 204223568 216987541 222629984 223589596 229751514 233413808 236544358 239434528 247144032 250458732 253518912 261014464 262590534 268207776 269363844 276368256 289755072 293641272 306335352 329525376 333944976 335384394 350120712 354816537 357610368 359151792 391521696 408447136 433975082 445259968 447179192 459503028 466827616 473088716 478869056 494288064 500917464 503076591 507037824 522028928 525181068 536415552 538727688 579510144 587282544 612670704 650962623 667889952 670768788 700241424 709633074 718303584 783043392 816894272 867950164 890519936 894358384 919006056 933655232 946177432 950255783 957738112 988576128 1001834928 1006153182 1050362136 1064449611 1072831104 1077455376 1174565088 1225341408 1301925246 1335779904 1341537576 1400482848 1419266148 1436607168 1566086784 1621024571 1633788544 1735900328 1788716768 1838012112 1867310464 1892354864 1900511566 1952887869 2003669856 2012306364 2100724272 2128899222 2154910752 2349130176 2450682816 2603850492 2671559808 2683075152 2800965696 2838532296 2850767349 2873214336 3242049142 3471800656 3577433536 3676024224 3784709728 3801023132 3905775738 4007339712 4024612728 4201448544 4257798444 4309821504 4698260352 4863073713 4901365632 5207700984 5366150304 5601931392 5677064592 5701534698 6484098284 6943601312 7154867072 7352048448 7569419456 7602046264 7811551476 8014679424 8049225456 8402897088 8515596888 8552302047 8619643008 9726147426 10415401968 10732300608 11354129184 11403069396 12968196568 13887202624 14589221139 14704096896 15138838912 15204092528 15623102952 16098450912 16805794176 17031193776 17104604094 19452294852 20830803936 21464601216 22708258368 22806138792 25936393136 27557417707 27774405248 29178442278 30408185056 31246205904 32196901824 34062387552 34209208188 38904589704 41661607872 45416516736 45612277584 51872786272 55114835414 58356884556 60816370112 62492411808 64393803648 68124775104 68418416376 77809179408 82672253121 83323215744 91224555168 103745572544 110229670828 116713769112 121632740224 124984823616 136249550208 136836832752 155618358816 165344506242 182449110336 207491145088 220459341656 233427538224 248016759363 249969647232 273673665504 311236717632 330689012484 364898220672 440918683312 466855076448 496033518726 547347331008 622473435264 661378024968 881837366624 933710152896 992067037452 1094694662016 1322756049936 1763674733248 1867420305792 1984134074904 2645512099872 3527349466496 3968268149808 5291024199744 7936536299616 10582048399488 15873072599232 31746145198464
• Sum of all divisors σ(n): 101336272128000
• Sum of proper divisors (its aliquot sum) s(n): 69590126929536
• 31746145198464 is an abundant number, because the sum of its proper divisors (69590126929536) is greater than itself. Its abundance is 37843981731072

Bases of 31746145198464

• Binary: 111001101111101111001101101010010000110000000₂
• Hexadecimal: 0x1CDF79B52180
• Base-36: B93Z76U80

Squares and roots of 31746145198464

• 31746145198464 squared (31746145198464²) is 1007817734961958881947959296
• 31746145198464 cubed (31746145198464³) is 31994328147689455101848005811833713721344
• The square root of 31746145198464 is 5634371.7660857275
• The cube root of 31746145198464 is 31663.8461059171

Scales and comparisons

• 31,746,145,198,464 seconds is equal to 1,009,429 years, 11 weeks, 3 days, 2 hours, 14 minutes, 24 seconds.
• To count from 1 to 31,746,145,198,464 would take you about two million, five hundred twenty-three thousand, five hundred seventy-three 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 31746145198464 cubic inches would be around 2638.7 feet tall.

Recreational maths with 31746145198464

• 31746145198464 backwards is 46489154164713
• The number of decimal digits it has is: 14
• The sum of 31746145198464's digits is 63
• More coming soon!