13071106973630016

Names of 13071106973630016

• Cardinal: 13071106973630016 can be written as Thirteen quadrillion, seventy-one trillion, one hundred six billion, nine hundred seventy-three million, six hundred thirty thousand and sixteen.

Scientific notation

• Scientific notation: 1.3071106973630016 × 10¹⁶

Factors of 13071106973630016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 538283

Divisors of 13071106973630016

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 61 64 68 72 96 102 108 122 136 144 153 183 192 204 216 244 272 288 306 366 408 432 459 488 544 549 576 612 732 816 864 918 976 1037 1088 1098 1224 1464 1632 1647 1728 1836 1952 2074 2196 2448 2928 3111 3264 3294 3672 3904 4148 4392 4896 5856 6222 6588 7344 8296 8784 9333 9792 11712 12444 13176 13913 14688 16592 17568 18666 24888 26352 27826 27999 29376 33184 35136 37332 41739 49776 52704 55652 55998 66368 74664 83478 99552 105408 111304 111996 125217 149328 166956 199104 222608 223992 236521 250434 298656 333912 375651 445216 447984 473042 500868 524287 597312 667824 709563 751302 848693 890432 895968 946084 1001736 1048574 1335648 1419126 1502604 1572861 1697386 1791936 1892168 2003472 2097148 2128689 2546079 2671296 2838252 3005208 3145722 3394772 3784336 4006944 4194296 4257378 4718583 5092158 5676504 6010416 6291444 6386067 6789544 7568672 7638237 8013888 8388592 8514756 8912879 9437166 10184316 11353008 12020832 12582888 12772134 13579088 14155749 14427781 15137344 15276474 16777184 17029512 17825758 18874332 20368632 22706016 22914711 24041664 25165776 25544268 26738637 27158176 28311498 28855562 30552948 31981507 33554368 34059024 35651516 37748664 40737264 43283343 45412032 45829422 50331552 51088536 53477274 54316352 56622996 57711124 61105896 63963014 68118048 71303032 75497328 80215911 81474528 86566686 91658844 95944521 100663104 102177072 106954548 113245992 115422248 122211792 127926028 129850029 136236096 142606064 150994656 160431822 162949056 173133372 183317688 191889042 204354144 213909096 226491984 230844496 240647733 244423584 255852056 259700058 285212128 287833563 301989312 320863644 346266744 366635376 383778084 389550087 408708288 427818192 452983968 461688992 481295466 488847168 511704112 519400116 543685619 570424256 575667126 641727288 692533488 733270752 767556168 779100174 855636384 863500689 905967936 923377984 962590932 1023408224 1038800232 1087371238 1151334252 1283454576 1385066976 1466541504 1535112336 1558200348 1631056857 1711272768 1727001378 1925181864 2046816448 2077600464 2174742476 2302668504 2566909152 2770133952 3070224672 3116400696 3262113714 3454002756 3850363728 4155200928 4349484952 4605337008 4893170571 5133818304 6140449344 6232801392 6524227428 6908005512 7294405031 7700727456 8310401856 8698969904 9210674016 9786341142 12465602784 13048454856 13816011024 14588810062 14679511713 15401454912 17397939808 18421348032 19572682284 21883215093 24931205568 26096909712 27632022048 29177620124 29359023426 34795879616 39145364568 43766430186 52193819424 55264044096 58355240248 58718046852 65649645279 78290729136 87532860372 104387638848 116710480496 117436093704 124004885527 131299290558 156581458272 175065720744 196948935837 233420960992 234872187408 248009771054 262598581116 313162916544 350131441488 372014656581 393897871674 444958706891 466841921984 469744374816 496019542108 525197162232 700262882976 744029313162 787795743348 889917413782 939488749632 992039084216 1050394324464 1116043969743 1334876120673 1400525765952 1488058626324 1575591486696 1779834827564 1984078168432 2100788648928 2232087939486 2669752241346 2976117252648 3151182973392 3348131909229 3559669655128 3968156336864 4004628362019 4201577297856 4464175878972 5339504482692 5952234505296 6302365946784 6696263818458 7119339310256 7564298017147 7936312673728 8009256724038 8928351757944 10679008965384 11904469010592 12013885086057 12604731893568 13392527636916 14238678620512 15128596034294 16018513448076 17856703515888 21358017930768 22692894051441 23808938021184 24027770172114 26785055273832 28477357241024 30257192068588 32037026896152 35713407031776 42716035861536 45385788102882 48055540344228 53570110547664 60514384137176 64074053792304 68078682154323 71426814063552 85432071723072 90771576205764 96111080688456 107140221095328 121028768274352 128148107584608 136157364308646 181543152411528 192222161376912 204236046462969 214280442190656 242057536548704 256296215169216 272314728617292 363086304823056 384444322753824 408472092925938 484115073097408 544629457234584 726172609646112 768888645507648 816944185851876 1089258914469168 1452345219292224 1633888371703752 2178517828938336 3267776743407504 4357035657876672 6535553486815008 13071106973630016
• Sum of all divisors σ(n): 41357075766312960
• Sum of proper divisors (its aliquot sum) s(n): 28285968792682944
• 13071106973630016 is an abundant number, because the sum of its proper divisors (28285968792682944) is greater than itself. Its abundance is 15214861819052928

Bases of 13071106973630016

• Binary: 101110011100000001101000111111111110111111111001000000₂
• Hexadecimal: 0x2E701A3FFBFE40
• Base-36: 3KPBJNA49C0

Squares and roots of 13071106973630016

• 13071106973630016 squared (13071106973630016²) is 170853837516079235790800056160256
• 13071106973630016 cubed (13071106973630016³) is 2233248787027872949862167959141090495246947844096
• The square root of 13071106973630016 is 114328941.9772177197
• The cube root of 13071106973630016 is 235561.3979387679

Scales and comparisons

• 13,071,106,973,630,016 seconds is equal to 415,620,770 years, 8 weeks, 6 days, 22 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,071,106,973,630,016 would take you about one billion, two hundred forty-six million, eight hundred sixty-two thousand, three hundred ten 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 13071106973630016 cubic inches would be around 19630.1 feet tall.

Recreational maths with 13071106973630016

• 13071106973630016 backwards is 61003637960117031
• 13071106973630016 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13071106973630016's digits is 54
• More coming soon!