406829969972002816

Names of 406829969972002816

• Cardinal: 406829969972002816 can be written as Four hundred six quadrillion, eight hundred twenty-nine trillion, nine hundred sixty-nine billion, nine hundred seventy-two million, two thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 4.06829969972002816 × 10¹⁷

Factors of 406829969972002816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1935

Divisors of 406829969972002816

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 16 32 53 64 106 128 139 212 256 278 424 512 556 848 1024 1112 1696 1741 2048 2224 3392 3482 4096 4448 6784 6964 7367 8192 8896 13568 13928 14734 16384 17792 19321 27136 27856 29468 32768 35584 38642 54272 55712 58936 65536 71168 77284 92273 108544 111424 117872 131072 142336 154568 184546 217088 222848 235744 241999 284672 309136 369092 434176 445696 471488 483998 569344 618272 738184 868352 891392 942976 967996 1024013 1138688 1236544 1476368 1736704 1782784 1885952 1935992 2048026 2277376 2473088 2952736 3031081 3473408 3565568 3771904 3871984 4096052 4554752 4946176 5905472 6062162 6946816 7131136 7543808 7743968 8192104 9109504 9892352 11810944 12124324 12825947 14262272 15087616 15487936 16384208 18219008 19784704 23621888 24248648 25651894 28524544 30175232 30975872 32768416 33637861 39569408 47243776 48497296 51303788 57049088 60350464 61951744 65536832 67275722 79138816 94487552 96994592 102607576 114098176 120700928 123903488 131073664 134551444 158277632 160647293 188975104 193989184 205215152 228196352 241401856 247806976 262147328 269102888 316555264 321294586 377950208 387978368 410430304 421320259 482803712 495613952 524294656 538205776 633110528 642589172 755900416 775956736 820860608 842640518 965607424 991227904 1048589312 1076411552 1266221056 1285178344 1511800832 1551913472 1641721216 1685281036 1782806633 1982455808 2097178624 2152823104 2532442112 2570356688 3023601664 3103826944 3283442432 3370562072 3565613266 3964911616 4194357248 4305646208 5140713376 6047203328 6207653888 6566884864 6741124144 7131226532 7929823232 8388714496 8611292416 10281426752 12094406656 12415307776 13133769728 13482248288 14262453064 15859646464 16777428992 17222584832 20562853504 22329973727 24830615552 26267539456 26964496576 28524906128 31719292928 33554857984 34445169664 41125707008 44659947454 49661231104 52535078912 53928993152 57049812256 58563516001 67109715968 68890339328 82251414016 89319894908 99322462208 105070157824 107857986304 114099624512 117127032002 134219431936 137780678656 164502828032 178639789816 198644924416 210140315648 215715972608 228199249024 234254064004 275561357312 329005656064 357279579632 397289848832 420280631296 431431945216 456398498048 468508128008 551122714624 658011312128 714559159264 840561262592 862863890432 912796996096 937016256016 1102245429248 1316022624256 1429118318528 1681122525184 1725727780864 1825593992192 1874032512032 2204490858496 2632045248512 2858236637056 3103866348053 3451455561728 3651187984384 3748065024064 4408981716992 5264090497024 5716473274112 6207732696106 6902911123456 7302375968768 7496130048128 10528180994048 11432946548224 12415465392212 13805822246912 14604751937536 14992260096256 21056361988096 22865893096448 24830930784424 27611644493824 29209503875072 29984520192512 45731786192896 49661861568848 55223288987648 58419007750144 59969040385024 91463572385792 99323723137696 116838015500288 119938080770048 182927144771584 198647446275392 233676031000576 239876161540096 365854289543168 397294892550784 479752323080192 731708579086336 794589785101568 959504646160384 1463417158172672 1589179570203136 1919009292320768 2926834316345344 3178359140406272 3838018584641536 6356718280812544 7676037169283072 12713436561625088 25426873123250176 50853746246500352 101707492493000704 203414984986001408 406829969972002816
• Sum of all divisors σ(n): 835495745461251966
• Sum of proper divisors (its aliquot sum) s(n): 428665775489249150
• 406829969972002816 is an abundant number, because the sum of its proper divisors (428665775489249150) is greater than itself. Its abundance is 21835805517246334

Bases of 406829969972002816

• Binary: 10110100101010110011011001111000100001010100000000000000000₂
• Hexadecimal: 0x5A559B3C42A0000
• Base-36: 339T6S36S64G

Squares and roots of 406829969972002816

• 406829969972002816 squared (406829969972002816²) is 165510624467420712947174882311929856
• 406829969972002816 cubed (406829969972002816³) is 67334682382128203218508489249922716498318874426474496
• The square root of 406829969972002816 is 637832242.8131105509
• The cube root of 406829969972002816 is 740976.2923397289

Scales and comparisons

• 406,829,969,972,002,816 seconds is equal to 12,935,934,637 years, 20 weeks, 1 day, 7 hours, 16 seconds.
• To count from 1 to 406,829,969,972,002,816 would take you about thirty-eight billion, eight hundred seven million, eight hundred three thousand, nine hundred twelve 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 406829969972002816 cubic inches would be around 61748 feet tall.

Recreational maths with 406829969972002816

• 406829969972002816 backwards is 618200279969928604
• The number of decimal digits it has is: 18
• The sum of 406829969972002816's digits is 88
• More coming soon!