642315420
642,315,420 is an even composite number composed of six prime numbers multiplied together.
642315420 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 642315420:
22 × 34 × 5 × 17 × 83 × 281
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 83 × 281)See below for interesting mathematical facts about the number 642315420 from the Numbermatics database.
Names of 642315420
- Cardinal: 642315420 can be written as Six hundred forty-two million, three hundred fifteen thousand, four hundred twenty.
Scientific notation
- Scientific notation: 6.4231542 × 108
Factors of 642315420
Divisors of 642315420
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 83 85 90 102 108 135 153 162 166 170 180 204 249 255 270 281 306 324 332 340 405 415 459 498 510 540 562 612 747 765 810 830 843 918 996 1020 1124 1245 1377 1405 1411 1494 1530 1620 1660 1686 1836 2241 2295 2490 2529 2754 2810 2822 2988 3060 3372 3735 4215 4233 4482 4590 4777 4980 5058 5508 5620 5644 6723 6885 7055 7470 7587 8430 8466 8964 9180 9554 10116 11205 12645 12699 13446 13770 14110 14331 14940 15174 16860 16932 19108 21165 22410 22761 23323 23885 25290 25398 26892 27540 28220 28662 30348 33615 37935 38097 42330 42993 44820 45522 46646 47770 50580 50796 57324 63495 67230 69969 71655 75870 76194 84660 85986 91044 93292 95540 113805 114291 116615 126990 128979 134460 139938 143310 151740 152388 171972 190485 209907 214965 227610 228582 233230 253980 257958 279876 286620 349845 380970 386937 396491 419814 429930 455220 457164 466460 515916 571455 629721 644895 699690 761940 773874 792982 839628 859860 1049535 1142910 1189473 1259442 1289790 1399380 1547748 1585964 1889163 1934685 1982455 2099070 2285820 2378946 2518884 2579580 3148605 3568419 3778326 3869370 3964910 4198140 4757892 5947365 6297210 7136838 7556652 7738740 7929820 9445815 10705257 11894730 12594420 14273676 17842095 18891630 21410514 23789460 32115771 35684190 37783260 42821028 53526285 64231542 71368380 107052570 128463084 160578855 214105140 321157710 642315420
- Sum of all divisors σ(n): 2166883488
- Sum of proper divisors (its aliquot sum) s(n): 1524568068
- 642315420 is an abundant number, because the sum of its proper divisors (1524568068) is greater than itself. Its abundance is 882252648
Bases of 642315420
- Binary: 1001100100100011110100100111002
- Hexadecimal: 0x2648F49C
- Base-36: AMF1R0
Squares and roots of 642315420
- 642315420 squared (6423154202) is 412569098769776400
- 642315420 cubed (6423154203) is 264999493955330411672088000
-
The
square root of 642315420 is 25343.9424715257 -
The
cube root of 642315420 is 862.8118796493
Scales and comparisons
How big is 642315420?- 642,315,420 seconds is equal to 20 years, 22 weeks, 4 hours, 57 minutes.
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To count from 1 to 642,315,420 would take you about thirty 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 642315420 cubic inches would be around 71.9 feet tall.
Recreational maths with 642315420
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