31505472768

Names of 31505472768

• Cardinal: 31505472768 can be written as Thirty-one billion, five hundred five million, four hundred seventy-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1505472768 × 10¹⁰

Factors of 31505472768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 77

Divisors of 31505472768

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 32 33 34 37 42 44 48 49 51 56 64 66 68 74 77 84 88 96 98 102 111 112 119 121 128 132 136 147 148 154 168 176 187 192 196 204 222 224 231 238 242 256 259 264 272 294 296 308 336 352 357 363 374 384 392 407 408 444 448 462 476 484 518 528 539 544 561 588 592 616 629 672 704 714 726 748 768 777 784 814 816 833 847 888 896 924 952 968 1036 1056 1078 1088 1122 1176 1184 1221 1232 1258 1309 1331 1344 1408 1428 1452 1496 1554 1568 1617 1628 1632 1666 1694 1776 1792 1813 1848 1887 1904 1936 2057 2072 2112 2156 2176 2244 2352 2368 2442 2464 2499 2516 2541 2618 2662 2688 2816 2849 2856 2904 2992 3108 3136 3234 3256 3264 3332 3388 3552 3626 3696 3774 3808 3872 3927 3993 4114 4144 4224 4312 4352 4403 4477 4488 4704 4736 4884 4928 4998 5032 5082 5236 5324 5376 5439 5698 5712 5808 5929 5984 6171 6216 6272 6468 6512 6528 6664 6776 6919 7104 7252 7392 7548 7616 7744 7854 7986 8228 8288 8448 8547 8624 8806 8954 8976 9163 9317 9408 9472 9768 9856 9996 10064 10164 10472 10648 10878 11396 11424 11616 11858 11968 12342 12432 12544 12936 13024 13056 13209 13328 13431 13552 13838 14208 14399 14504 14784 15096 15232 15488 15708 15972 16456 16576 17094 17248 17612 17787 17908 17952 18326 18634 18816 19536 19712 19943 19992 20128 20328 20757 20944 21296 21756 22627 22792 22848 23232 23716 23936 24684 24864 25872 26048 26418 26656 26862 27104 27489 27676 27951 28416 28798 29008 29568 30192 30464 30821 30976 31339 31416 31944 32912 33152 34188 34496 35224 35574 35816 35904 36652 37268 37632 39072 39886 39984 40256 40656 41514 41888 42592 43197 43512 45254 45584 45696 46464 47432 47872 48433 49247 49368 49728 51744 52096 52836 53312 53724 54208 54978 55352 55902 57596 58016 59136 59829 60384 61642 62678 62832 63888 65219 65824 66304 67881 68376 68992 70448 71148 71632 71808 73304 74536 76109 78144 79772 79968 80512 81312 83028 83776 85184 86394 87024 90508 91168 91392 92463 92928 94017 94864 96866 98494 98736 99456 100793 103488 104192 105672 106624 107448 108416 109956 110704 111804 115192 116032 119658 120768 123284 125356 125664 127776 130438 131648 135762 136752 137984 140896 142296 143264 143616 145299 146608 147741 149072 152218 156288 158389 159544 159936 161024 162624 166056 167552 170368 172788 174048 181016 182336 184926 188034 189728 193732 195657 196988 197472 198912 201586 206976 211344 213248 214896 216832 219373 219912 221408 223608 228327 230384 232064 239316 241536 246568 250712 251328 255552 260876 263296 271524 273504 281792 284592 286528 290598 293216 295482 298144 302379 304436 312576 316778 319088 319872 325248 332112 335104 339031 340736 344729 345576 348096 362032 364672 369852 376068 379456 387464 391314 393976 394944 403172 413952 422688 429792 438746 439824 442816 447216 456654 460768 464128 475167 478632 483072 493136 501424 502656 511104 521752 526592 532763 543048 547008 563584 569184 573056 581196 586432 590964 596288 604758 608872 633556 638176 639744 650496 658119 664224 678062 689458 691152 696192 724064 729344 739704 752136 758912 774928 782628 787952 789888 806344 837199 845376 859584 877492 879648 885632 894432 913308 921536 950334 957264 986272 1002848 1005312 1017093 1022208 1034187 1043504 1065526 1086096 1094016 1108723 1127168 1138368 1146112 1162392 1172864 1181928 1192576 1209516 1217744 1267112 1276352 1316238 1328448 1356124 1378916 1382304 1392384 1448128 1479408 1504272 1517824 1549856 1565256 1575904 1579776 1598289 1612688 1674398 1690752 1719168 1754984 1759296 1771264 1788864 1826616 1843072 1900668 1914528 1972544 2005696 2034186 2068374 2087008 2131052 2172192 2188032 2217446 2276736 2324784 2345728 2363856 2385152 2413103 2419032 2435488 2511597 2534224 2552704 2632476 2656896 2712248 2757832 2764608 2896256 2958816 3008544 3099712 3130512 3151808 3196578 3225376 3326169 3348796 3381504 3438336 3509968 3518592 3577728 3653232 3686144 3729341 3801336 3829056 3945088 4011392 4068372 4136748 4174016 4262104 4344384 4434892 4553472 4649568 4727712 4826206 4838064 4870976 5023194 5068448 5105408 5264952 5313792 5424496 5515664 5529216 5792512 5860393 5917632 6017088 6199424 6261024 6303616 6393156 6450752 6652338 6697592 7019936 7037184 7155456 7239309 7306464 7458682 7602672 7658112 7890176 8022784 8136744 8273496 8348032 8524208 8688768 8869784 9299136 9455424 9652412 9676128 9741952 10046388 10136896 10529904 10848992 11031328 11058432 11188023 11720786 11835264 12034176 12398848 12522048 12607232 12786312 12901504 13304676 13395184 14039872 14478618 14612928 14917364 15205344 15316224 16273488 16546992 16696064 17048416 17377536 17581179 17739568 18598272 18910848 19304824 19352256 19483904 20092776 20273792 21059808 21697984 22062656 22376046 23441572 23670528 24068352 25044096 25572624 25803008 26609352 26790368 28079744 28957236 29225856 29834728 30410688 32546976 33093984 34096832 35162358 35479136 37196544 37821696 38609648 38704512 40185552 40547584 41022751 42119616 43395968 44125312 44752092 46883144 50088192 51145248 53218704 53580736 56159488 57914472 58451712 59669456 60821376 65093952 66187968 68193664 70324716 70958272 77219296 77409024 80371104 82045502 84239232 86791936 88250624 89504184 93766288 102290496 106437408 107161472 115828944 119338912 121642752 123068253 130187904 132375936 136387328 140649432 141916544 154438592 160742208 164091004 168478464 179008368 187532576 204580992 212874816 214322944 231657888 238677824 246136506 260375808 264751872 281298864 283833088 308877184 321484416 328182008 358016736 375065152 409161984 425749632 463315776 477355648 492273012 562597728 617754368 642968832 656364016 716033472 750130304 851499264 926631552 954711296 984546024 1125195456 1312728032 1432066944 1500260608 1853263104 1969092048 2250390912 2625456064 2864133888 3938184096 4500781824 5250912128 7876368192 10501824256 15752736384 31505472768
• Sum of all divisors σ(n): 116668315008
• Sum of proper divisors (its aliquot sum) s(n): 85162842240
• 31505472768 is an abundant number, because the sum of its proper divisors (85162842240) is greater than itself. Its abundance is 53657369472

Bases of 31505472768

• Binary: 11101010101110111110101110100000000₂
• Hexadecimal: 0x755DF5D00
• Base-36: EH1JMDC

Squares and roots of 31505472768

• 31505472768 squared (31505472768²) is 992594814335189581824
• 31505472768 cubed (31505472768³) is 31272168892695331394273339768832
• The square root of 31505472768 is 177497.8106005817
• The cube root of 31505472768 is 3158.3626875527

Scales and comparisons

• 31,505,472,768 seconds is equal to 1,001 years, 40 weeks, 2 days, 16 hours, 12 minutes, 48 seconds.
• To count from 1 to 31,505,472,768 would take you about two thousand and 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 31505472768 cubic inches would be around 263.2 feet tall.

Recreational maths with 31505472768

• 31505472768 backwards is 86727450513
• 31505472768 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 31505472768's digits is 48
• More coming soon!