42400809984
42,400,809,984 is an even composite number composed of six prime numbers multiplied together.
What does the number 42400809984 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 352 divisors.
42400809984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 42400809984:
210 × 3 × 13 × 29 × 31 × 1181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 29 × 31 × 1181)See below for interesting mathematical facts about the number 42400809984 from the Numbermatics database.
Names of 42400809984
- Cardinal: 42400809984 can be written as Forty-two billion, four hundred million, eight hundred nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2400809984 × 1010
Factors of 42400809984
Divisors of 42400809984
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 29 31 32 39 48 52 58 62 64 78 87 93 96 104 116 124 128 156 174 186 192 208 232 248 256 312 348 372 377 384 403 416 464 496 512 624 696 744 754 768 806 832 899 928 992 1024 1131 1181 1209 1248 1392 1488 1508 1536 1612 1664 1798 1856 1984 2262 2362 2418 2496 2697 2784 2976 3016 3072 3224 3328 3543 3596 3712 3968 4524 4724 4836 4992 5394 5568 5952 6032 6448 6656 7086 7192 7424 7936 9048 9448 9672 9984 10788 11136 11687 11904 12064 12896 13312 14172 14384 14848 15353 15872 18096 18896 19344 19968 21576 22272 23374 23808 24128 25792 28344 28768 29696 30706 31744 34249 35061 36192 36611 37792 38688 39936 43152 44544 46059 46748 47616 48256 51584 56688 57536 61412 68498 70122 72384 73222 75584 77376 86304 89088 92118 93496 95232 96512 102747 103168 109833 113376 115072 122824 136996 140244 144768 146444 151168 154752 172608 184236 186992 193024 205494 206336 219666 226752 230144 245648 273992 280488 289536 292888 302336 309504 345216 368472 373984 386048 410988 412672 439332 445237 453504 460288 475943 491296 547984 560976 579072 585776 604672 619008 690432 736944 747968 821976 878664 890474 907008 920576 951886 982592 1061719 1095968 1121952 1158144 1171552 1209344 1238016 1335711 1380864 1427829 1473888 1495936 1643952 1757328 1780948 1814016 1903772 1965184 2123438 2191936 2243904 2343104 2671422 2761728 2855658 2947776 2991872 3185157 3287904 3514656 3561896 3628032 3807544 3930368 4246876 4383872 4487808 4686208 5342844 5711316 5895552 5983744 6370314 6575808 7029312 7123792 7615088 7860736 8493752 8767744 8975616 9372416 10685688 11422632 11791104 11967488 12740628 13151616 13802347 14058624 14247584 15230176 15721472 16987504 17535488 17951232 18744832 21371376 22845264 23582208 25481256 26303232 27604694 28117248 28495168 30460352 33975008 35070976 35902464 37489664 41407041 42742752 45690528 47164416 50962512 52606464 55209388 56234496 56990336 60920704 67950016 82814082 85485504 91381056 101925024 105212928 110418776 112468992 113980672 121841408 135900032 165628164 170971008 182762112 203850048 220837552 227961344 243682816 271800064 331256328 341942016 365524224 407700096 441675104 455922688 487365632 543600128 662512656 683884032 731048448 815400192 883350208 1087200256 1325025312 1367768064 1462096896 1630800384 1766700416 2650050624 3261600768 3533400832 5300101248 7066801664 10600202496 14133603328 21200404992 42400809984
- Sum of all divisors σ(n): 130075223040
- Sum of proper divisors (its aliquot sum) s(n): 87674413056
- 42400809984 is an abundant number, because the sum of its proper divisors (87674413056) is greater than itself. Its abundance is 45273603072
Bases of 42400809984
- Binary: 1001110111110100100100000100000000002
- Hexadecimal: 0x9DF490400
- Base-36: JH8CIDC
Squares and roots of 42400809984
- 42400809984 squared (424008099842) is 1797828687299274080256
- 42400809984 cubed (424008099843) is 76229392553960674418071022075904
-
The
square root of 42400809984 is 205914.5696253667 -
The
cube root of 42400809984 is 3487.0490070737
Scales and comparisons
How big is 42400809984?- 42,400,809,984 seconds is equal to 1,348 years, 11 weeks, 1 day, 2 hours, 46 minutes, 24 seconds.
-
To count from 1 to 42,400,809,984 would take you about two thousand, six hundred ninety-six 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 42400809984 cubic inches would be around 290.6 feet tall.
Recreational maths with 42400809984
- 42400809984 backwards is 48990800424
- 42400809984 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42400809984's digits is 48
- More coming soon!
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