12817346347401216

Names of 12817346347401216

• Cardinal: 12817346347401216 can be written as Twelve quadrillion, eight hundred seventeen trillion, three hundred forty-six billion, three hundred forty-seven million, four hundred one thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.2817346347401216 × 10¹⁶

Factors of 12817346347401216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 36
• Sum of prime factors: 195

Divisors of 12817346347401216

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 137 159 192 212 256 274 318 384 411 424 512 548 636 768 822 848 1024 1096 1272 1536 1644 1696 2048 2192 2544 3072 3288 3392 4096 4384 5088 6144 6576 6784 7261 8192 8768 10176 12288 13152 13568 14522 16384 17536 18769 20352 21783 24576 26304 27136 29044 32768 35072 37538 40704 43566 49152 52608 54272 56307 58088 65536 70144 75076 81408 87132 98304 105216 108544 112614 116176 131072 140288 150152 162816 174264 196608 210432 217088 225228 232352 262144 280576 300304 325632 348528 393216 420864 434176 450456 464704 524288 561152 600608 651264 697056 786432 841728 868352 900912 929408 994757 1048576 1122304 1201216 1302528 1394112 1572864 1683456 1736704 1801824 1858816 1989514 2097152 2244608 2402432 2605056 2788224 2984271 3145728 3366912 3473408 3603648 3717632 3979028 4194304 4489216 4804864 5210112 5576448 5968542 6291456 6733824 6946816 7207296 7435264 7958056 8388608 8978432 9609728 10420224 11152896 11937084 12582912 13467648 13893632 14414592 14870528 15916112 16777216 17956864 19219456 20840448 22305792 23874168 25165824 26935296 27787264 28829184 29741056 31832224 33554432 35913728 38438912 41680896 44611584 47748336 50331648 53870592 55574528 57658368 59482112 63664448 67108864 71827456 76877824 83361792 89223168 95496672 100663296 107741184 111149056 115316736 118964224 127328896 134217728 143654912 153755648 166723584 178446336 190993344 201326592 215482368 222298112 230633472 237928448 254657792 268435456 287309824 307511296 333447168 356892672 381986688 402653184 430964736 444596224 461266944 475856896 509315584 536870912 574619648 615022592 666894336 713785344 763973376 805306368 861929472 889192448 922533888 951713792 1018631168 1073741824 1149239296 1230045184 1333788672 1427570688 1527946752 1610612736 1723858944 1778384896 1845067776 1903427584 2037262336 2147483648 2298478592 2460090368 2667577344 2855141376 3055893504 3221225472 3447717888 3556769792 3690135552 3806855168 4074524672 4294967296 4596957184 4920180736 5335154688 5710282752 6111787008 6442450944 6895435776 7113539584 7380271104 7613710336 8149049344 9193914368 9840361472 10670309376 11420565504 12223574016 12884901888 13790871552 14227079168 14760542208 15227420672 16298098688 18387828736 19680722944 21340618752 22841131008 24447148032 27581743104 28454158336 29521084416 30454841344 32596197376 36775657472 39361445888 42681237504 45682262016 48894296064 55163486208 56908316672 59042168832 60909682688 65192394752 73551314944 78722891776 85362475008 91364524032 97788592128 110326972416 113816633344 118084337664 121819365376 130384789504 147102629888 157445783552 170724950016 182729048064 195577184256 220653944832 227633266688 236168675328 243638730752 260769579008 294205259776 314891567104 341449900032 365458096128 391154368512 441307889664 472337350656 487277461504 521539158016 588410519552 629783134208 682899800064 730916192256 782308737024 882615779328 944674701312 974554923008 1043078316032 1259566268416 1461832384512 1564617474048 1765231558656 1889349402624 1949109846016 2086156632064 2519132536832 2923664769024 3129234948096 3778698805248 3898219692032 4172313264128 5038265073664 5847329538048 6258469896192 7557397610496 7796439384064 8344626528256 10076530147328 11694659076096 12516939792384 15114795220992 15592878768128 16689253056512 20153060294656 23389318152192 25033879584768 30229590441984 31185757536256 33378506113024 40306120589312 46778636304384 50067759169536 60459180883968 66757012226048 80612241178624 93557272608768 100135518339072 120918361767936 133514024452096 200271036678144 241836723535872 267028048904192 400542073356288 534056097808384 801084146712576 1068112195616768 1602168293425152 2136224391233536 3204336586850304 4272448782467072 6408673173700608 12817346347401216
• Sum of all divisors σ(n): 35080536955399992
• Sum of proper divisors (its aliquot sum) s(n): 22263190607998776
• 12817346347401216 is an abundant number, because the sum of its proper divisors (22263190607998776) is greater than itself. Its abundance is 9445844260597560

Bases of 12817346347401216

• Binary: 101101100010010100111100000000000000000000000000000000₂
• Hexadecimal: 0x2D894F00000000
• Base-36: 3I7DBMH60AO

Squares and roots of 12817346347401216

• 12817346347401216 squared (12817346347401216²) is 164284367389239293273076878278656
• 12817346347401216 cubed (12817346347401216³) is 2105689636291585699488974631544945942465081245696
• The square root of 12817346347401216 is 113213719.7843141977
• The cube root of 12817346347401216 is 234027.0401666769

Scales and comparisons

• 12,817,346,347,401,216 seconds is equal to 407,551,967 years, 9 weeks, 6 days, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 12,817,346,347,401,216 would take you about one billion, two hundred twenty-two million, six hundred fifty-five thousand, nine hundred one 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 12817346347401216 cubic inches would be around 19502.3 feet tall.

Recreational maths with 12817346347401216

• 12817346347401216 backwards is 61210474364371821
• The number of decimal digits it has is: 17
• The sum of 12817346347401216's digits is 60
• More coming soon!