4070406144
4,070,406,144 is an even composite number composed of six prime numbers multiplied together.
4070406144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 4070406144:
211 × 3 × 7 × 31 × 43 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 43 × 71)See below for interesting mathematical facts about the number 4070406144 from the Numbermatics database.
Names of 4070406144
- Cardinal: 4070406144 can be written as Four billion, seventy million, four hundred six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.070406144 × 109
Factors of 4070406144
Divisors of 4070406144
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 43 48 56 62 64 71 84 86 93 96 112 124 128 129 142 168 172 186 192 213 217 224 248 256 258 284 301 336 344 372 384 426 434 448 496 497 512 516 568 602 651 672 688 744 768 852 868 896 903 992 994 1024 1032 1136 1204 1302 1333 1344 1376 1488 1491 1536 1704 1736 1792 1806 1984 1988 2048 2064 2201 2272 2408 2604 2666 2688 2752 2976 2982 3053 3072 3408 3472 3584 3612 3968 3976 3999 4128 4402 4544 4816 5208 5332 5376 5504 5952 5964 6106 6144 6603 6816 6944 7168 7224 7936 7952 7998 8256 8804 9088 9159 9331 9632 10416 10664 10752 11008 11904 11928 12212 13206 13632 13888 14336 14448 15407 15872 15904 15996 16512 17608 18176 18318 18662 19264 20832 21328 21371 21504 22016 23808 23856 24424 26412 27264 27776 27993 28896 30814 31744 31808 31992 33024 35216 36352 36636 37324 38528 41664 42656 42742 43008 44032 46221 47616 47712 48848 52824 54528 55552 55986 57792 61628 63488 63616 63984 64113 66048 70432 72704 73272 74648 77056 83328 85312 85484 88064 92442 94643 95232 95424 97696 105648 109056 111104 111972 115584 123256 127232 127968 128226 132096 140864 145408 146544 149296 154112 166656 170624 170968 184884 189286 190464 190848 195392 211296 218112 222208 223944 231168 246512 254464 255936 256452 264192 281728 283929 293088 298592 308224 333312 341248 341936 369768 378572 381696 390784 422592 436224 444416 447888 462336 493024 508928 511872 512904 563456 567858 586176 597184 616448 662501 666624 682496 683872 739536 757144 763392 781568 845184 895776 924672 986048 1017856 1023744 1025808 1126912 1135716 1172352 1194368 1325002 1333248 1364992 1367744 1479072 1514288 1526784 1563136 1690368 1791552 1849344 1972096 1987503 2047488 2051616 2253824 2271432 2344704 2388736 2650004 2729984 2735488 2958144 3028576 3053568 3126272 3380736 3583104 3944192 3975006 4094976 4103232 4507648 4542864 4689408 4777472 5300008 5470976 5916288 6057152 6252544 6761472 7166208 7888384 7950012 8189952 8206464 9085728 9378816 9554944 10600016 10941952 11832576 12114304 13522944 14332416 15776768 15900024 16412928 18171456 18757632 19109888 21200032 21883904 23665152 24228608 28664832 31553536 31800048 32825856 36342912 42400064 43767808 47330304 48457216 57329664 63600096 65651712 72685824 84800128 94660608 96914432 127200192 131303424 145371648 169600256 193828864 254400384 290743296 339200512 508800768 581486592 678401024 1017601536 1356802048 2035203072 4070406144
- Sum of all divisors σ(n): 13284311040
- Sum of proper divisors (its aliquot sum) s(n): 9213904896
- 4070406144 is an abundant number, because the sum of its proper divisors (9213904896) is greater than itself. Its abundance is 5143498752
Bases of 4070406144
- Binary: 111100101001110101111000000000002
- Hexadecimal: 0xF29D7800
- Base-36: 1VBEXHC
Squares and roots of 4070406144
- 4070406144 squared (40704061442) is 16568206177112948736
- 4070406144 cubed (40704061443) is 67439328218379298716971433984
-
The
square root of 4070406144 is 63799.7346702947 -
The
cube root of 4070406144 is 1596.6605013591
Scales and comparisons
How big is 4070406144?- 4,070,406,144 seconds is equal to 129 years, 22 weeks, 1 day, 4 hours, 22 minutes, 24 seconds.
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To count from 1 to 4,070,406,144 would take you about two hundred fifty-eight 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 4070406144 cubic inches would be around 133.1 feet tall.
Recreational maths with 4070406144
- 4070406144 backwards is 4416040704
- The number of decimal digits it has is: 10
- The sum of 4070406144's digits is 30
- More coming soon!
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