3442148746292256

Names of 3442148746292256

• Cardinal: 3442148746292256 can be written as Three quadrillion, four hundred forty-two trillion, one hundred forty-eight billion, seven hundred forty-six million, two hundred ninety-two thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 3.442148746292256 × 10¹⁵

Factors of 3442148746292256

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 88009646

Divisors of 3442148746292256

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 37 39 42 44 48 52 56 66 74 77 78 84 88 91 96 104 111 112 121 132 143 148 154 156 168 176 182 208 222 224 231 242 259 264 273 286 296 308 312 336 352 363 364 407 416 429 444 462 481 484 518 528 546 572 592 616 624 672 726 728 777 814 847 858 888 924 962 968 1001 1036 1056 1092 1144 1184 1221 1232 1248 1443 1452 1456 1554 1573 1628 1694 1716 1776 1848 1924 1936 2002 2072 2184 2288 2442 2464 2541 2849 2886 2904 2912 3003 3108 3146 3256 3367 3388 3432 3552 3696 3848 3872 4004 4144 4368 4477 4576 4719 4884 5082 5291 5698 5772 5808 6006 6216 6292 6512 6734 6776 6864 7392 7696 8008 8288 8547 8736 8954 9438 9768 10101 10164 10582 11011 11396 11544 11616 12012 12432 12584 13024 13431 13468 13552 13728 15392 15873 16016 17094 17908 18876 19536 20202 20328 21164 22022 22792 23088 24024 24864 25168 26862 26936 27104 31339 31746 32032 33033 34188 35816 37037 37752 39072 40404 40656 42328 44044 45584 46176 48048 50336 53724 53872 58201 62678 63492 66066 68376 71632 74074 75504 80808 81312 84656 88088 91168 94017 96096 107448 107744 111111 116402 125356 126984 132132 136752 143264 148148 151008 161616 169312 174603 176176 188034 214896 222222 232804 250712 253968 264264 273504 296296 323232 349206 352352 376068 407407 429792 444444 465608 501424 507936 528528 592592 698412 752136 814814 888888 931216 1002848 1057056 1185184 1222221 1396824 1504272 1629628 1777776 1862432 2444442 2793648 3008544 3259256 3555552 4888884 5587296 6518512 9777768 13037024 19555536 39111072 88009573 176019146 264028719 352038292 528057438 616067011 704076584 968105303 1056114876 1144124449 1232134022 1408153168 1848201033 1936210606 2112229752 2288248898 2464268044 2816306336 2904315909 3256354201 3432373347 3696402066 3872421212 4224459504 4576497796 4928536088 5808631818 6512708402 6776737121 6864746694 7392804132 7744842424 8008871143 8448919008 9152995592 9769062603 9857072176 10649158333 11617263636 12585368939 13025416804 13553474242 13729493388 14785608264 15489684848 16017742286 18305991184 19538125206 19714144352 20330211363 21298316666 22794479407 23234527272 24026613429 25170737878 26050833608 27106948484 27458986776 29571216528 30979369696 31947474999 32035484572 35819896211 36611982368 37756106817 39076250412 40660422726 42332604613 42596633332 45588958814 46469054544 48053226858 50341475756 52101667216 54213896968 54917973552 59142433056 63894949998 64070969144 68383438221 71639792422 74544108331 75512213634 78152500824 81320845452 84665209226 85193266664 88097582573 91177917628 92938109088 96106453716 100682951512 104203334432 107459688633 108427793936 109835947104 126997813839 127789899996 128141938288 136766876442 138439058329 143279584844 149088216662 151024427268 156305001648 162641690904 169330418452 170386533328 176195165146 182355835256 192212907432 201365903024 214919377266 216855587872 223632324993 250739273477 253995627678 255579799992 256283876576 264292747719 273533752884 276878116658 286559169688 296328232291 298176433324 302048854536 312610003296 325283381808 338660836904 340773066656 352390330292 364711670512 384425814864 394018858321 402731806048 415317174987 429838754532 447264649986 465658650743 501478546954 507991255356 511159599984 528585495438 547067505768 553756233316 573118339376 592656464582 596352866648 604097709072 650566763616 677321673808 704780660584 729423341024 752217820431 768851629728 788037716642 830634349974 859677509064 888984696873 894529299972 931317301486 969073408303 1002957093908 1015982510712 1022319199968 1057170990876 1094135011536 1107512466632 1146236678752 1182056574963 1185312929164 1192705733296 1208195418144 1354643347616 1396975952229 1409561321168 1504435640862 1576075433284 1661268699948 1719355018128 1777969393746 1789058599944 1862634602972 1938146816606 2005914187816 2031965021424 2114341981752 2188270023072 2215024933264 2364113149926 2370625858328 2385411466592 2758132008247 2793951904458 2819122642336 2907220224909 3008871281724 3152150866568 3259610555201 3322537399896 3438710036256 3555938787492 3578117199888 3725269205944 3876293633212 4011828375632 4063930042848 4228683963504 4430049866528 4728226299852 4741251716656 5122245158173 5516264016494 5587903808916 5814440449818 6017742563448 6304301733136 6519221110402 6645074799792 7111877574984 7156234399776 7450538411888 7752587266424 8023656751264 8274396024741 8457367927008 9456452599704 9482503433312 9778831665603 10244490316346 11032528032988 11175807617832 11628880899636 12035485126896 12608603466272 13038442220804 13290149599584 14223755149968 14901076823776 15366735474519 15505174532848 16548792049482 18912905199408 19557663331206 20488980632692 22065056065976 22351615235664 23257761799272 24070970253792 26076884441608 28447510299936 30733470949038 31010349065696 33097584098964 35855716107211 37825810398816 39115326662412 40977961265384 44130112131952 44703230471328 46515523598544 52153768883216 61466941898076 66195168197928 71711432214422 78230653324824 81955922530768 88260224263904 93031047197088 104307537766432 107567148321633 122933883796152 132390336395856 143422864428844 156461306649648 163911845061536 215134296643266 245867767592304 264780672791712 286845728857688 312922613299296 430268593286532 491735535184608 573691457715376 860537186573064 1147382915430752 1721074373146128 3442148746292256
• Sum of all divisors σ(n): 12554046122575104
• Sum of proper divisors (its aliquot sum) s(n): 9111897376282848
• 3442148746292256 is an abundant number, because the sum of its proper divisors (9111897376282848) is greater than itself. Its abundance is 5669748629990592

Bases of 3442148746292256

• Binary: 1100001110101001110110110101010010010110110000100000₂
• Hexadecimal: 0xC3A9DB5496C20
• Base-36: XW51AXW8IO

Squares and roots of 3442148746292256

• 3442148746292256 squared (3442148746292256²) is 11848387991601349763907365569536
• 3442148746292256 cubed (3442148746292256³) is 40783913870874807102614578531942429233746313216
• The square root of 3442148746292256 is 58669828.2449527545
• The cube root of 3442148746292256 is 150988.2707479531

Scales and comparisons

• 3,442,148,746,292,256 seconds is equal to 109,449,682 years, 45 weeks, 13 hours, 37 minutes, 36 seconds.
• To count from 1 to 3,442,148,746,292,256 would take you about three hundred twenty-eight million, three hundred forty-nine thousand and forty-eight 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 3442148746292256 cubic inches would be around 12582.4 feet tall.

Recreational maths with 3442148746292256

• 3442148746292256 backwards is 6522926478412443
• The number of decimal digits it has is: 16
• The sum of 3442148746292256's digits is 69
• More coming soon!