40513606406043648
40,513,606,406,043,648 is an even composite number composed of four prime numbers multiplied together.
What does the number 40513606406043648 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 288 divisors.
40513606406043648 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 40513606406043648:
211 × 3 × 2773 × 5572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 277 × 277 × 277 × 557 × 557)See below for interesting mathematical facts about the number 40513606406043648 from the Numbermatics database.
Names of 40513606406043648
- Cardinal: 40513606406043648 can be written as Forty quadrillion, five hundred thirteen trillion, six hundred six billion, four hundred six million, forty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.0513606406043648 × 1016
Factors of 40513606406043648
Divisors of 40513606406043648
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 277 384 512 554 557 768 831 1024 1108 1114 1536 1662 1671 2048 2216 2228 3072 3324 3342 4432 4456 6144 6648 6684 8864 8912 13296 13368 17728 17824 26592 26736 35456 35648 53184 53472 70912 71296 76729 106368 106944 141824 142592 153458 154289 212736 213888 230187 283648 285184 306916 308578 310249 425472 427776 460374 462867 567296 570368 613832 617156 620498 850944 855552 920748 925734 930747 1140736 1227664 1234312 1240996 1701888 1711104 1841496 1851468 1861494 2455328 2468624 2481992 3422208 3682992 3702936 3722988 4910656 4937248 4963984 7365984 7405872 7445976 9821312 9874496 9927968 14731968 14811744 14891952 19642624 19748992 19855936 21253933 29463936 29623488 29783904 39285248 39497984 39711872 42507866 42738053 58927872 59246976 59567808 63761799 78570496 78995968 79423744 85015732 85476106 85938973 117855744 118493952 119135616 127523598 128214159 157140992 157991936 158847488 170031464 170952212 171877946 235711488 236987904 238271232 255047196 256428318 257816919 315983872 317694976 340062928 341904424 343755892 471422976 473975808 476542464 510094392 512856636 515633838 635389952 680125856 683808848 687511784 947951616 953084928 1020188784 1025713272 1031267676 1360251712 1367617696 1375023568 1906169856 2040377568 2051426544 2062535352 2720503424 2735235392 2750047136 4080755136 4102853088 4125070704 5441006848 5470470784 5500094272 8161510272 8205706176 8250141408 10882013696 10940941568 11000188544 11838440681 16323020544 16411412352 16500282816 21764027392 21881883136 22000377088 23676881362 23805095521 32646041088 32822824704 33000565632 35515322043 43528054784 43763766272 44000754176 47353762724 47610191042 65292082176 65645649408 66001131264 71030644086 71415286563 87527532544 88001508352 94707525448 95220382084 130584164352 131291298816 132002262528 142061288172 142830573126 176003016704 189415050896 190440764168 262582597632 264004525056 284122576344 285661146252 378830101792 380881528336 528009050112 568245152688 571322292504 757660203584 761763056672 1136490305376 1142644585008 1515320407168 1523526113344 2272980610752 2285289170016 3030640814336 3047052226688 4545961221504 4570578340032 6061281628672 6094104453376 6594011459317 9091922443008 9141156680064 12122563257344 12188208906752 13188022918634 18183844886016 18282313360128 19782034377951 24245126514688 24376417813504 26376045837268 36367689772032 36564626720256 39564068755902 48752835627008 52752091674536 72735379544064 73129253440512 79128137511804 105504183349072 146258506881024 158256275023608 211008366698144 316512550047216 422016733396288 633025100094432 844033466792576 1266050200188864 1688066933585152 2532100400377728 3376133867170304 5064200800755456 6752267734340608 10128401601510912 13504535468681216 20256803203021824 40513606406043648
- Sum of all divisors σ(n): 108596213575340400
- Sum of proper divisors (its aliquot sum) s(n): 68082607169296752
- 40513606406043648 is an abundant number, because the sum of its proper divisors (68082607169296752) is greater than itself. Its abundance is 27569000763253104
Bases of 40513606406043648
- Binary: 100011111110111011101001000011100110011011111000000000002
- Hexadecimal: 0x8FEEE90E66F800
- Base-36: B2WVHUFU7EO
Squares and roots of 40513606406043648
- 40513606406043648 squared (405136064060436482) is 1641352304023820912620820081147904
- 40513606406043648 cubed (405136064060436483) is 66497101218873972247517654423761236882774967713792
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The
square root of 40513606406043648 is 201279920.5237413839 -
The
cube root of 40513606406043648 is 343452.7263533277
Scales and comparisons
How big is 40513606406043648?- 40,513,606,406,043,648 seconds is equal to 1,288,207,366 years, 46 weeks, 5 days, 10 hours, 20 minutes, 48 seconds.
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To count from 1 to 40,513,606,406,043,648 would take you about three billion, eight hundred sixty-four million, six hundred twenty-two thousand, one hundred 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 40513606406043648 cubic inches would be around 28621.1 feet tall.
Recreational maths with 40513606406043648
- 40513606406043648 backwards is 84634060460631504
- The number of decimal digits it has is: 17
- The sum of 40513606406043648's digits is 60
- More coming soon!
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