420978152
420,978,152 is an even composite number composed of six prime numbers multiplied together.
420978152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 420978152:
23 × 7 × 29 × 53 × 67 × 73
(2 × 2 × 2 × 7 × 29 × 53 × 67 × 73)See below for interesting mathematical facts about the number 420978152 from the Numbermatics database.
Names of 420978152
- Cardinal: 420978152 can be written as Four hundred twenty million, nine hundred seventy-eight thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 4.20978152 × 108
Factors of 420978152
Divisors of 420978152
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 7 8 14 28 29 53 56 58 67 73 106 116 134 146 203 212 232 268 292 371 406 424 469 511 536 584 742 812 938 1022 1484 1537 1624 1876 1943 2044 2117 2968 3074 3551 3752 3869 3886 4088 4234 4891 6148 7102 7738 7772 8468 9782 10759 12296 13601 14204 14819 15476 15544 16936 19564 21518 24857 27083 27202 28408 29638 30952 34237 39128 43036 49714 54166 54404 59276 68474 86072 99428 102979 108332 108808 112201 118552 136948 141839 198856 205958 216664 224402 259223 273896 283678 411916 448804 518446 567356 720853 785407 823832 897608 992873 1036892 1134712 1441706 1570814 1814561 1985746 2073784 2883412 3141628 3629122 3971492 5766824 6283256 7258244 7517467 7942984 14516488 15034934 30069868 52622269 60139736 105244538 210489076 420978152
- Sum of all divisors σ(n): 978220800
- Sum of proper divisors (its aliquot sum) s(n): 557242648
- 420978152 is an abundant number, because the sum of its proper divisors (557242648) is greater than itself. Its abundance is 136264496
Bases of 420978152
- Binary: 110010001011110011101111010002
- Hexadecimal: 0x19179DE8
- Base-36: 6YN0TK
Squares and roots of 420978152
- 420978152 squared (4209781522) is 177222604461335104
- 420978152 cubed (4209781523) is 74606844518759807534647808
-
The
square root of 420978152 is 20517.7521185923 -
The
cube root of 420978152 is 749.4681574657
Scales and comparisons
How big is 420978152?- 420,978,152 seconds is equal to 13 years, 20 weeks, 10 hours, 22 minutes, 32 seconds.
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To count from 1 to 420,978,152 would take you about twenty 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 420978152 cubic inches would be around 62.5 feet tall.
Recreational maths with 420978152
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The information we have on file for 420978152 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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