4002237644054257872
4,002,237,644,054,257,872 is an even composite number composed of six prime numbers multiplied together.
4002237644054257872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 4002237644054257872:
24 × 32 × 11 × 31 × 97 × 840261117169
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 31 × 97 × 840261117169)See below for interesting mathematical facts about the number 4002237644054257872 from the Numbermatics database.
Names of 4002237644054257872
- Cardinal: 4002237644054257872 can be written as Four quintillion, two quadrillion, two hundred thirty-seven trillion, six hundred forty-four billion, fifty-four million, two hundred fifty-seven thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 4.002237644054257872 × 1018
Factors of 4002237644054257872
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 840261117313
Divisors of 4002237644054257872
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 97 99 124 132 144 176 186 194 198 248 264 279 291 341 372 388 396 496 528 558 582 682 744 776 792 873 1023 1067 1116 1164 1364 1488 1552 1584 1746 2046 2134 2232 2328 2728 3007 3069 3201 3492 4092 4268 4464 4656 5456 6014 6138 6402 6984 8184 8536 9021 9603 12028 12276 12804 13968 16368 17072 18042 19206 24056 24552 25608 27063 33077 36084 38412 48112 49104 51216 54126 66154 72168 76824 99231 108252 132308 144336 153648 198462 216504 264616 297693 396924 433008 529232 595386 793848 1190772 1587696 2381544 4763088 840261117169 1680522234338 2520783351507 3361044468676 5041566703014 6722088937352 7562350054521 9242872288859 10083133406028 13444177874704 15124700109042 18485744577718 20166266812056 26048094632239 27728616866577 30249400218084 36971489155436 40332533624112 52096189264478 55457233733154 60498800436168 73942978310872 78144283896717 81505328365393 83185850599731 104192378528956 110914467466308 120997600872336 147885956621744 156288567793434 163010656730786 166371701199462 208384757057912 221828934932616 234432851690151 244515985096179 286529040954629 312577135586868 326021313461572 332743402398924 416769514115824 443657869865232 468865703380302 489031970192358 573058081909258 625154271173736 652042626923144 665486804797848 733547955288537 859587122863887 896558612019323 937731406760604 978063940384716 1146116163818516 1250308542347472 1304085253846288 1330973609595696 1467095910577074 1719174245727774 1793117224038646 1875462813521208 1956127880769432 2292232327637032 2526665179327183 2578761368591661 2689675836057969 2934191821154148 3438348491455548 3586234448077292 3750925627042416 3912255761538864 4584464655274064 5053330358654366 5157522737183322 5379351672115938 5868383642308296 6876696982911096 7172468896154584 7579995537981549 8069027508173907 10106660717308732 10315045474366644 10758703344231876 11736767284616592 13753393965822192 14344937792309168 15159991075963098 16138055016347814 20213321434617464 20630090948733288 21517406688463752 22739986613944647 27793316972599013 30319982151926196 32276110032695628 40426642869234928 41260181897466576 43034813376927504 45479973227889294 55586633945198026 60639964303852392 64552220065391256 83379950917797039 90959946455778588 111173267890396052 121279928607704784 129104440130782512 166759901835594078 181919892911557176 222346535780792104 250139852753391117 333519803671188156 363839785823114352 444693071561584208 500279705506782234 667039607342376312 1000559411013564468 1334079214684752624 2001118822027128936 4002237644054257872
- Sum of all divisors σ(n): 12743144663620600320
- Sum of proper divisors (its aliquot sum) s(n): 8740907019566342448
- 4002237644054257872 is an abundant number, because the sum of its proper divisors (8740907019566342448) is greater than itself. Its abundance is 4738669375512084576
Bases of 4002237644054257872
- Binary: 110111100010101100110111101110101110001000110011100000110100002
- Hexadecimal: 0x378ACDEEB88CE0D0
- Base-36: UENMU7H85N80
Squares and roots of 4002237644054257872
- 4002237644054257872 squared (40022376440542578722) is 16017906159484976531606411052673968384
- 4002237644054257872 cubed (40022376440542578723) is 64107467010419338229361081549324327730586016730311118848
-
The
square root of 4002237644054257872 is 2000559332.8002691037 -
The
cube root of 4002237644054257872 is 1587696.9999999989
Scales and comparisons
How big is 4002237644054257872?- 4,002,237,644,054,257,872 seconds is equal to 127,258,777,347 years, 3 weeks, 2 days, 16 hours, 31 minutes, 12 seconds.
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To count from 1 to 4,002,237,644,054,257,872 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4002237644054257872 cubic inches would be around 132308.1 feet tall.
Recreational maths with 4002237644054257872
- 4002237644054257872 backwards is 2787524504467322004
- 4002237644054257872 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4002237644054257872's digits is 72
- More coming soon!
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