10388513116416

Names of 10388513116416

• Cardinal: 10388513116416 can be written as Ten trillion, three hundred eighty-eight billion, five hundred thirteen million, one hundred sixteen thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.0388513116416 × 10¹³

Factors of 10388513116416

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 18839

Divisors of 10388513116416

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 17 24 31 32 34 37 48 51 62 64 68 74 93 96 102 111 124 128 136 148 186 192 204 222 248 256 272 296 372 384 408 444 496 527 544 592 629 744 768 816 888 992 1054 1088 1147 1184 1258 1369 1488 1581 1632 1776 1887 1984 2108 2176 2294 2368 2516 2738 2976 3162 3264 3441 3552 3774 3968 4107 4216 4352 4588 4736 5032 5476 5952 6324 6528 6882 7104 7548 7936 8214 8432 9176 9472 10064 10952 11904 12648 13056 13764 14208 15096 16428 16864 18352 18749 19499 20128 21904 23273 23808 25296 27528 28416 30192 32856 33728 36704 37498 38998 40256 42439 43808 46546 50592 55056 56247 58497 60384 65712 67456 69819 73408 74996 77996 80512 84878 87616 93092 101184 110112 112494 116994 120768 127317 131424 134912 139638 146816 149992 155992 161024 169756 175232 186184 202368 220224 224988 233988 241536 254634 262848 279276 293632 299984 311984 318733 339512 350464 372368 404736 440448 449976 467976 483072 509268 525696 558552 581219 599968 623968 637466 679024 693713 721463 744736 880896 899952 935952 956199 1018536 1051392 1117104 1162438 1199936 1247936 1274932 1358048 1387426 1442926 1489472 1743657 1799904 1871904 1912398 2037072 2081139 2164389 2234208 2324876 2399872 2495872 2549864 2716096 2774852 2885852 2978944 3487314 3599808 3743808 3824796 4074144 4162278 4328778 4468416 4649752 4799744 4991744 5099728 5432192 5549704 5771704 5957888 6974628 7199616 7487616 7649592 8148288 8324556 8657556 8936832 9299504 9880723 10199456 10864384 11099408 11543408 11793121 13949256 14399232 14975232 15299184 16296576 16649112 17315112 17873664 18599008 19761446 20398912 21505103 22198816 23086816 23586242 25667381 27898512 29642169 30598368 32593152 33298224 34630224 35379363 37198016 39522892 40797824 43010206 44397632 46173632 47172484 51334762 55797024 59284338 61196736 64515309 66596448 69260448 70758726 74396032 77002143 79045784 81595648 86020412 88795264 92347264 94344968 102669524 111594048 118568676 122393472 129030618 133192896 138520896 141517452 148792064 154004286 158091568 172040824 177590528 184694528 188689936 205339048 223188096 237137352 244786944 258061236 266385792 277041792 283034904 308008572 316183136 344081648 365586751 377379872 410678096 436345477 446376192 474274704 516122472 532771584 554083584 566069808 616017144 632366272 688163296 731173502 754759744 795688811 821356192 872690954 948549408 1032244944 1096760253 1132139616 1232034288 1264732544 1309036431 1376326592 1462347004 1509519488 1591377622 1642712384 1745381908 1897098816 2064489888 2193520506 2264279232 2387066433 2464068576 2529465088 2618072862 2752653184 2924694008 3019038976 3182755244 3285424768 3490763816 3794197632 4128979776 4387041012 4528558464 4774132866 4928137152 5236145724 5505306368 5849388016 6365510488 6570849536 6981527632 7588395264 8257959552 8774082024 9057116928 9548265732 9856274304 10472291448 11698776032 12731020976 13526709787 13963055264 16515919104 17548164048 19096531464 19712548608 20944582896 23397552064 25462041952 27053419574 27926110528 35096328096 38193062928 40580129361 41889165792 46795104128 50924083904 54106839148 55852221056 70192656192 76386125856 81160258722 83778331584 93590208256 101848167808 108213678296 111704442112 140385312384 152772251712 162320517444 167556663168 203696335616 216427356592 280770624768 305544503424 324641034888 335113326336 432854713184 611089006848 649282069776 865709426368 1298564139552 1731418852736 2597128279104 3462837705472 5194256558208 10388513116416
• Sum of all divisors σ(n): 31059806400000
• Sum of proper divisors (its aliquot sum) s(n): 20671293283584
• 10388513116416 is an abundant number, because the sum of its proper divisors (20671293283584) is greater than itself. Its abundance is 10282780167168

Bases of 10388513116416

• Binary: 10010111001011000011101000100101000100000000₂
• Hexadecimal: 0x972C3A25100
• Base-36: 3OKF0HHXC

Squares and roots of 10388513116416

• 10388513116416 squared (10388513116416²) is 107921204769947272368685056
• 10388513116416 cubed (10388513116416³) is 1121140851292014222814807157234567479296
• The square root of 10388513116416 is 3223121.6415791695
• The cube root of 10388513116416 is 21819.8183525963

Scales and comparisons

• 10,388,513,116,416 seconds is equal to 330,322 years, 30 weeks, 2 days, 7 hours, 53 minutes, 36 seconds.
• To count from 1 to 10,388,513,116,416 would take you about eight hundred twenty-five thousand, eight hundred six 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 10388513116416 cubic inches would be around 1818.3 feet tall.

Recreational maths with 10388513116416

• 10388513116416 backwards is 61461131588301
• 10388513116416 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 10388513116416's digits is 48
• More coming soon!