12819305791969664

Names of 12819305791969664

• Cardinal: 12819305791969664 can be written as Twelve quadrillion, eight hundred nineteen trillion, three hundred five billion, seven hundred ninety-one million, nine hundred sixty-nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.2819305791969664 × 10¹⁶

Factors of 12819305791969664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1283

Divisors of 12819305791969664

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 338 403 416 496 676 806 832 961 992 1237 1352 1612 1664 1922 1984 2197 2474 2704 3224 3844 3968 4394 4948 5239 5408 6448 7688 8788 9896 10478 10816 12493 12896 15376 16081 17576 19792 20956 21632 24986 25792 29791 30752 32162 35152 38347 39584 41912 49972 51584 59582 61504 64324 68107 70304 76694 79168 83824 99944 119164 123008 128648 136214 140608 153388 158336 162409 167648 199888 209053 238328 257296 272428 281216 306776 324818 335296 387283 399776 418106 476656 498511 514592 544856 613552 649636 670592 774566 799552 836212 953312 997022 1029184 1089712 1188757 1227104 1299272 1530169 1549132 1599104 1672424 1906624 1994044 2058368 2111317 2179424 2377514 2454208 2598544 2717689 3060338 3098264 3344848 3813248 3988088 4222634 4358848 4755028 4908416 5034679 5197088 5435378 6120676 6196528 6480643 6689696 7976176 8445268 8717696 9510056 10069358 10394176 10870756 12241352 12393056 12961286 13379392 15453841 15952352 16890536 19020112 19892197 20138716 20788352 21741512 24482704 24786112 25922572 26758784 30907682 31904704 33781072 36851467 38040224 39784394 40277432 43483024 47435239 48965408 49572224 51845144 61815364 63809408 65450827 67562144 73702934 76080448 79568788 80554864 84248359 86966048 94870478 97930816 103690288 123630728 130901654 135124288 147405868 152160896 159137576 161109728 168496718 173932096 189740956 195861632 200899933 207380576 247261456 258598561 261803308 270248576 294811736 318275152 322219456 336993436 347864192 379481912 401799866 414761152 479069071 494522912 517197122 523606616 589623472 616658107 636550304 644438912 673986872 758963824 803599732 829522304 958138142 989045824 1034394244 1047213232 1179246944 1233316214 1273100608 1347973744 1470492409 1517927648 1607199464 1916276284 1978091648 2068788488 2094426464 2358493888 2466632428 2546201216 2611699129 2695947488 2940984818 3035855296 3214398928 3361781293 3832552568 4137576976 4188852928 4716987776 4933264856 5223398258 5391894976 5881969636 6071710592 6227897923 6428797856 6723562586 7665105136 8016555391 8275153952 8377705856 9866529712 10446796516 10783789952 11763939272 12455795846 12857595712 13447125172 15330210272 16033110782 16550307904 19116401317 19733059424 20893593032 23527878544 24911591692 25715191424 26894250344 30660420544 32066221564 33100615808 38232802634 39466118848 41787186064 45585264679 47055757088 49823183384 53788500688 61320841088 64132443128 76465605268 78932237696 80962672999 83574372128 91170529358 94111514176 99646366768 104215220083 107577001376 128264886256 152931210536 161925345998 167148744256 182341058716 188223028352 199292733536 208430440166 215154002752 248513217121 256529772512 305862421072 323850691996 334297488512 364682117432 398585467072 416860880332 430308005504 497026434242 513059545024 592608440827 611724842144 647701383992 729364234864 797170934144 833721760664 994052868484 1026119090048 1185216881654 1223449684288 1295402767984 1458728469728 1667443521328 1988105736968 2370433763308 2446899368576 2590805535968 2917456939456 3230671822573 3334887042656 3976211473936 4740867526616 5181611071936 5834913878912 6461343645146 6669774085312 7703909730751 7952422947872 9481735053232 10363222143872 12922687290292 13339548170624 15407819461502 15904845895744 18963470106464 25845374580584 30815638923004 31809691791488 37926940212928 51690749161168 61631277846008 75853880425856 100150826499763 103381498322336 123262555692016 200301652999526 206762996644672 246525111384032 400603305999052 413525993289344 493050222768064 801206611998104 986100445536128 1602413223996208 3204826447992416 6409652895984832 12819305791969664
• Sum of all divisors σ(n): 28610985401107200
• Sum of proper divisors (its aliquot sum) s(n): 15791679609137536
• 12819305791969664 is an abundant number, because the sum of its proper divisors (15791679609137536) is greater than itself. Its abundance is 2972373817167872

Bases of 12819305791969664

• Binary: 101101100010110001011100110111111111110101100110000000₂
• Hexadecimal: 0x2D8B1737FF5980
• Base-36: 3I82BS3VDKW

Squares and roots of 12819305791969664

• 12819305791969664 squared (12819305791969664²) is 164334600988026974342988696272896
• 12819305791969664 cubed (12819305791969664³) is 2106655502266837860391737602427995600323497426944
• The square root of 12819305791969664 is 113222373.1952729561
• The cube root of 12819305791969664 is 234038.9651427929

Scales and comparisons

• 12,819,305,791,969,664 seconds is equal to 407,614,271 years, 24 weeks, 2 days, 11 hours, 7 minutes, 44 seconds.
• To count from 1 to 12,819,305,791,969,664 would take you about one billion, two hundred twenty-two million, eight hundred forty-two thousand, eight hundred fourteen 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 12819305791969664 cubic inches would be around 19503.2 feet tall.

Recreational maths with 12819305791969664

• 12819305791969664 backwards is 46696919750391821
• The number of decimal digits it has is: 17
• The sum of 12819305791969664's digits is 86
• More coming soon!