42257597268529152

Names of 42257597268529152

• Cardinal: 42257597268529152 can be written as Forty-two quadrillion, two hundred fifty-seven trillion, five hundred ninety-seven billion, two hundred sixty-eight million, five hundred twenty-nine thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.2257597268529152 × 10¹⁶

Factors of 42257597268529152

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 304626940

Divisors of 42257597268529152

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 71 72 96 106 128 142 144 159 192 212 213 256 284 288 318 384 424 426 477 512 568 576 636 639 768 848 852 954 1024 1136 1152 1272 1278 1536 1696 1704 1908 2048 2272 2304 2544 2556 3072 3392 3408 3763 3816 4096 4544 4608 5088 5112 6144 6784 6816 7526 7632 9088 9216 10176 10224 11289 12288 13568 13632 15052 15264 18176 18432 20352 20448 22578 27136 27264 30104 30528 33867 36352 36864 40704 40896 45156 54272 54528 60208 61056 67734 72704 81408 81792 90312 108544 109056 120416 122112 135468 145408 162816 163584 180624 217088 218112 240832 244224 270936 290816 325632 327168 361248 436224 481664 488448 541872 651264 654336 722496 872448 963328 976896 1083744 1308672 1444992 1926656 1953792 2167488 2617344 2889984 3853312 4334976 5779968 7706624 8669952 11559936 15413248 17339904 23119872 34679808 46239744 69359616 138719232 304626811 609253622 913880433 1218507244 1827760866 2437014488 2741641299 3655521732 4874028976 5483282598 7311043464 9748057952 10966565196 14622086928 16145220983 19496115904 21628503581 21933130392 29244173856 32290441966 38992231808 43257007162 43866260784 48435662949 58488347712 64580883932 64885510743 77984463616 86514014324 87732521568 96871325898 116976695424 129161767864 129771021486 145306988847 155968927232 173028028648 175465043136 193742651796 194656532229 233953390848 258323535728 259542042972 290613977694 311937854464 346056057296 350930086272 387485303592 389313064458 467906781696 516647071456 519084085944 581227955388 623875708928 692112114592 701860172544 774970607184 778626128916 935813563392 1033294142912 1038168171888 1146310689793 1162455910776 1247751417856 1384224229184 1403720345088 1549941214368 1557252257832 1871627126784 2066588285824 2076336343776 2292621379586 2324911821552 2768448458368 2807440690176 3099882428736 3114504515664 3438932069379 3743254253568 4133176571648 4152672687552 4585242759172 4649823643104 5536896916736 5614881380352 6199764857472 6229009031328 6877864138758 8266353143296 8305345375104 9170485518344 9299647286208 10316796208137 11073793833472 11229762760704 12399529714944 12458018062656 13755728277516 16532706286592 16610690750208 18340971036688 18599294572416 20633592416274 22147587666944 24799059429888 24916036125312 27511456555032 33065412573184 33221381500416 36681942073376 37198589144832 41267184832548 44295175333888 49598118859776 49832072250624 55022913110064 66130825146368 66442763000832 73363884146752 74397178289664 82534369665096 88590350667776 99196237719552 99664144501248 110045826220128 132885526001664 146727768293504 148794356579328 165068739330192 198392475439104 199328289002496 220091652440256 265771052003328 293455536587008 297588713158656 330137478660384 398656578004992 440183304880512 586911073174016 595177426317312 660274957320768 797313156009984 880366609761024 1173822146348032 1320549914641536 1760733219522048 2347644292696064 2641099829283072 3521466439044096 4695288585392128 5282199658566144 7042932878088192 10564399317132288 14085865756176384 21128798634264576 42257597268529152
• Sum of all divisors σ(n): 126117298684698048
• Sum of proper divisors (its aliquot sum) s(n): 83859701416168896
• 42257597268529152 is an abundant number, because the sum of its proper divisors (83859701416168896) is greater than itself. Its abundance is 41602104147639744

Bases of 42257597268529152

• Binary: 10010110001000010000111110010010010000001001000000000000₂
• Hexadecimal: 0x96210F92409000
• Base-36: BK32G6QUPS0

Squares and roots of 42257597268529152

• 42257597268529152 squared (42257597268529152²) is 1785704526909202448043393473839104
• 42257597268529152 cubed (42257597268529152³) is 75459582738718454974320474299339408405436781559808
• The square root of 42257597268529152 is 205566527.5975861591
• The cube root of 42257597268529152 is 348311.8633572767

Scales and comparisons

• 42,257,597,268,529,152 seconds is equal to 1,343,660,881 years, 42 weeks, 8 hours, 19 minutes, 12 seconds.
• To count from 1 to 42,257,597,268,529,152 would take you about four billion, thirty million, nine hundred eighty-two thousand, six hundred forty-five 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 42257597268529152 cubic inches would be around 29026 feet tall.

Recreational maths with 42257597268529152

• 42257597268529152 backwards is 25192586279575224
• The number of decimal digits it has is: 17
• The sum of 42257597268529152's digits is 81
• More coming soon!