42686990350153344
42,686,990,350,153,344 is an even composite number composed of five prime numbers multiplied together.
42686990350153344 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 42686990350153344:
27 × 33 × 13 × 31 × 30649031533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 31 × 30649031533)See below for interesting mathematical facts about the number 42686990350153344 from the Numbermatics database.
Names of 42686990350153344
- Cardinal: 42686990350153344 can be written as Forty-two quadrillion, six hundred eighty-six trillion, nine hundred ninety billion, three hundred fifty million, one hundred fifty-three thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.2686990350153344 × 1016
Factors of 42686990350153344
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 30649031582
Divisors of 42686990350153344
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 93 96 104 108 117 124 128 144 156 186 192 208 216 234 248 279 288 312 351 372 384 403 416 432 468 496 558 576 624 702 744 806 832 837 864 936 992 1116 1152 1209 1248 1404 1488 1612 1664 1674 1728 1872 1984 2232 2418 2496 2808 2976 3224 3348 3456 3627 3744 3968 4464 4836 4992 5616 5952 6448 6696 7254 7488 8928 9672 10881 11232 11904 12896 13392 14508 14976 17856 19344 21762 22464 25792 26784 29016 35712 38688 43524 44928 51584 53568 58032 77376 87048 107136 116064 154752 174096 232128 348192 464256 696384 1392768 30649031533 61298063066 91947094599 122596126132 183894189198 245192252264 275841283797 367788378396 398437409929 490384504528 551682567594 735576756792 796874819858 827523851391 950119977523 980769009056 1103365135188 1195312229787 1471153513584 1593749639716 1655047702782 1900239955046 1961538018112 2206730270376 2390624459574 2850359932569 2942307027168 3187499279432 3310095405564 3585936689361 3800479910092 3923076036224 4413460540752 4781248919148 5700719865138 5884614054336 6374998558864 6620190811128 7171873378722 7600959820184 8551079797707 8826921081504 9562497838296 10757810068083 11401439730276 11769228108672 12351559707799 12749997117728 13240381622256 14343746757444 15201919640368 17102159595414 17653842163008 19124995676592 21515620136166 22802879460552 24703119415598 25499994235456 25653239393121 26480763244512 28687493514888 30403839280736 34204319190828 35307684326016 37054679123397 38249991353184 43031240272332 45605758921104 49406238831196 50999988470912 51306478786242 52961526489024 57374987029776 60807678561472 68408638381656 74109358246794 76499982706368 86062480544664 91211517842208 98812477662392 102612957572484 105923052978048 111164037370191 114749974059552 121615357122944 136817276763312 148218716493588 152999965412736 172124961089328 182423035684416 197624955324784 205225915144968 222328074740382 229499948119104 273634553526624 296437432987176 333492112110573 344249922178656 364846071368832 395249910649568 410451830289936 444656149480764 458999896238208 547269107053248 592874865974352 666984224221146 688499844357312 790499821299136 820903660579872 889312298961528 1094538214106496 1185749731948704 1333968448442292 1376999688714624 1580999642598272 1641807321159744 1778624597923056 2371499463897408 2667936896884584 3283614642319488 3557249195846112 4742998927794816 5335873793769168 7114498391692224 10671747587538336 14228996783384448 21343495175076672 42686990350153344
- Sum of all divisors σ(n): 140053814497766400
- Sum of proper divisors (its aliquot sum) s(n): 97366824147613056
- 42686990350153344 is an abundant number, because the sum of its proper divisors (97366824147613056) is greater than itself. Its abundance is 54679833797459712
Bases of 42686990350153344
- Binary: 100101111010011110010111011100000101100111110110100000002
- Hexadecimal: 0x97A7977059F680
- Base-36: BOB9WN91UO0
Squares and roots of 42686990350153344
- 42686990350153344 squared (426869903501533442) is 1822179145154084710196484314382336
- 42686990350153344 cubed (426869903501533443) is 77783343585443083526074380497765512733162244931584
-
The
square root of 42686990350153344 is 206608301.7454849127 -
The
cube root of 42686990350153344 is 349487.6595026245
Scales and comparisons
How big is 42686990350153344?- 42,686,990,350,153,344 seconds is equal to 1,357,314,253 years, 31 weeks, 2 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,686,990,350,153,344 would take you about four billion, seventy-one million, nine hundred forty-two thousand, seven hundred sixty 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 42686990350153344 cubic inches would be around 29124 feet tall.
Recreational maths with 42686990350153344
- 42686990350153344 backwards is 44335105309968624
- 42686990350153344 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42686990350153344's digits is 72
- More coming soon!
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