42417129371136

Names of 42417129371136

• Cardinal: 42417129371136 can be written as Forty-two trillion, four hundred seventeen billion, one hundred twenty-nine million, three hundred seventy-one thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 4.2417129371136 × 10¹³

Factors of 42417129371136

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 1138

Divisors of 42417129371136

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 128 156 181 183 192 208 244 256 312 362 366 384 416 421 457 488 512 543 624 724 732 768 793 832 842 914 976 1086 1248 1263 1371 1448 1464 1536 1586 1664 1684 1828 1952 2172 2353 2379 2496 2526 2742 2896 2928 3172 3328 3368 3656 3904 4344 4706 4758 4992 5052 5473 5484 5792 5856 5941 6344 6656 6736 7059 7312 7808 8688 9412 9516 9984 10104 10946 10968 11041 11584 11712 11882 12688 13472 14118 14624 15616 16419 17376 17823 18824 19032 19968 20208 21892 21936 22082 23168 23424 23764 25376 25681 26944 27877 28236 29248 31232 32838 33123 34752 35646 37648 38064 40416 43784 43872 44164 46336 46848 47528 50752 51362 53888 55754 56472 58496 65676 66246 69504 71292 75296 76128 76201 77043 80832 82717 83631 87568 87744 88328 92672 93696 95056 101504 102724 107776 111508 112944 116992 131352 132492 139008 142584 143533 150592 152256 152402 154086 161664 165434 167262 175136 175488 176656 190112 192397 203008 205448 215552 223016 225888 228603 233984 248151 262704 264984 278016 285168 287066 301184 304512 304804 308172 323328 330868 333853 334524 350272 350976 353312 362401 380224 384794 406016 410896 430599 446032 451776 457206 496302 525408 529968 570336 574132 577191 602368 609024 609608 616344 646656 661736 667706 669048 700544 701952 706624 724802 760448 769588 821792 861198 892064 903552 914412 990613 992604 1001559 1050816 1059936 1075321 1087203 1140672 1148264 1154382 1204736 1218048 1219216 1232688 1323472 1335412 1338096 1401088 1413248 1449604 1520896 1539176 1643584 1722396 1784128 1807104 1828824 1981226 1985208 2003118 2101632 2119872 2150642 2174406 2281344 2296528 2308764 2438432 2465376 2501161 2646944 2670824 2676192 2802176 2826496 2899208 2971839 3041792 3078352 3225963 3287168 3444792 3568256 3614208 3657648 3962452 3970416 4006236 4203264 4239744 4301284 4348812 4562688 4593056 4617528 4648261 4876864 4930752 5002322 5045737 5293888 5341648 5352384 5652992 5798416 5943678 6156704 6451926 6574336 6889584 7136512 7315296 7503483 7924904 7940832 8012472 8406528 8479488 8602568 8697624 9125376 9186112 9235056 9296522 9753728 9861504 10004644 10091474 10587776 10683296 10704768 11596832 11736217 11887356 12313408 12903852 13148672 13779168 13944783 14273024 14630592 15006966 15137211 15849808 15881664 16024944 16958976 17205136 17395248 18372224 18470112 18593044 19507456 19723008 20009288 20182948 21175552 21366592 21409536 23193664 23472434 23774712 24626816 25807704 27558336 27889566 29261184 30013932 30274422 31699616 31763328 32049888 34410272 34790496 34823857 35208651 36744448 36940224 37186088 39014912 39446016 40018576 40365896 42351104 42733184 42819072 46387328 46944868 47549424 49253632 51615408 55116672 55779132 58522368 60027864 60427393 60548844 63399232 63526656 64099776 65594581 68820544 69580992 69647714 70417302 73488896 73880448 74372176 80037152 80731792 85466368 92774656 93889736 95098848 98507264 103230816 104471571 110233344 111558264 117044736 120055728 120854786 121097688 126798464 127053312 128199552 131189162 137641088 139161984 139295428 140834604 147760896 148744352 152570821 160074304 161463584 170932736 181282179 185549312 187779472 190197696 196783743 206461632 208943142 220466688 223116528 240111456 241709572 242195376 253596928 256399104 262378324 275282176 278323968 278590856 281669208 295521792 297488704 305141642 320148608 322927168 362564358 375558944 380395392 393567486 412923264 417886284 446233056 452710141 457712463 480222912 483419144 484390752 507193856 512798208 524756648 550564352 556647936 557181712 563338416 594977408 610283284 640297216 645854336 725128716 751117888 760790784 787134972 825846528 835772568 892466112 905420282 915424926 960445824 966838288 968781504 1049513296 1114363424 1126676832 1189954816 1220566568 1280594432 1291708672 1358130423 1450257432 1502235776 1521581568 1574269944 1651693056 1671545136 1784932224 1810840564 1830849852 1920891648 1933676576 1937563008 2099026592 2124255277 2228726848 2253353664 2379909632 2441133136 2583417344 2716260846 2900514864 3004471552 3148539888 3343090272 3569864448 3621681128 3661699704 3841783296 3867353152 3875126016 4198053184 4248510554 4457453696 4506707328 4882266272 5432521692 5801029728 6008943104 6297079776 6372765831 6686180544 7139728896 7243362256 7323399408 7734706304 7750252032 8396106368 8497021108 8914907392 9013414656 9764532544 10865043384 11602059456 12594159552 12745531662 13372361088 14486724512 14646798816 15469412608 16792212736 16994042216 17829814784 18026829312 19529065088 21730086768 23204118912 25188319104 25491063324 26744722176 27615318601 28973449024 29293597632 30938825216 33584425472 33988084432 39058130176 43460173536 46408237824 50376638208 50982126648 53489444352 55230637202 57946898048 58587195264 67976168864 78116260352 82845955803 86920347072 92816475648 100753276416 101964253296 110461274404 115893796096 117174390528 135952337728 165691911606 173840694144 203928506592 220922548808 231787592192 234348781056 271904675456 331383823212 347681388288 407857013184 441845097616 543809350912 662767646424 695362776576 815714026368 883690195232 1087618701824 1325535292848 1631428052736 1767380390464 2651070585696 3262856105472 3534760780928 5302141171392 7069521561856 10604282342784 14139043123712 21208564685568 42417129371136
• Sum of all divisors σ(n): 124940910686592
• Sum of proper divisors (its aliquot sum) s(n): 82523781315456
• 42417129371136 is an abundant number, because the sum of its proper divisors (82523781315456) is greater than itself. Its abundance is 40106651944320

Bases of 42417129371136

• Binary: 1001101001010000000001111011011011011000000000₂
• Hexadecimal: 0x269401EDB600
• Base-36: F1A5RNE2O

Squares and roots of 42417129371136

• 42417129371136 squared (42417129371136²) is 1799212864087688314829930496
• 42417129371136 cubed (42417129371136³) is 76317444822219608087982065322587068563456
• The square root of 42417129371136 is 6512843.4167524709
• The cube root of 42417129371136 is 34874.9631931057

Scales and comparisons

• 42,417,129,371,136 seconds is equal to 1,348,733 years, 26 weeks, 3 days, 8 hours, 25 minutes, 36 seconds.
• To count from 1 to 42,417,129,371,136 would take you about three million, three hundred seventy-one thousand, eight hundred thirty-three 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 42417129371136 cubic inches would be around 2906.2 feet tall.

Recreational maths with 42417129371136

• 42417129371136 backwards is 63117392171424
• The number of decimal digits it has is: 14
• The sum of 42417129371136's digits is 51
• More coming soon!