642368664
642,368,664 is an even composite number composed of six prime numbers multiplied together.
642368664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 642368664:
23 × 33 × 7 × 17 × 67 × 373
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 67 × 373)See below for interesting mathematical facts about the number 642368664 from the Numbermatics database.
Names of 642368664
- Cardinal: 642368664 can be written as Six hundred forty-two million, three hundred sixty-eight thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 6.42368664 × 108
Factors of 642368664
Divisors of 642368664
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 67 68 72 84 102 108 119 126 134 136 153 168 189 201 204 216 238 252 268 306 357 373 378 402 408 459 469 476 504 536 603 612 714 746 756 804 918 938 952 1071 1119 1139 1206 1224 1407 1428 1492 1512 1608 1809 1836 1876 2142 2238 2278 2412 2611 2814 2856 2984 3213 3357 3417 3618 3672 3752 4221 4284 4476 4556 4824 5222 5628 6341 6426 6714 6834 7236 7833 7973 8442 8568 8952 9112 10071 10251 10444 11256 12663 12682 12852 13428 13668 14472 15666 15946 16884 19023 20142 20502 20888 23499 23919 24991 25326 25364 25704 26856 27336 30753 31332 31892 33768 38046 40284 41004 44387 46998 47838 49982 50652 50728 57069 61506 62664 63784 70497 71757 74973 76092 80568 82008 88774 93996 95676 99964 101304 114138 123012 133161 140994 143514 149946 152184 171207 174937 177548 187992 191352 199928 215271 224919 228276 246024 266322 281988 287028 299892 342414 349874 355096 399483 424847 430542 449838 456552 524811 532644 563976 574056 599784 674757 684828 699748 798966 849694 861084 899676 1049622 1065288 1198449 1274541 1349514 1369656 1399496 1574433 1597932 1699388 1722168 1799352 2099244 2396898 2549082 2699028 2973929 3148866 3195864 3398776 3823623 4198488 4723299 4793796 5098164 5398056 5947858 6297732 7647246 8921787 9446598 9587592 10196328 11470869 11895716 12595464 15294492 17843574 18893196 22941738 23791432 26765361 30588984 35687148 37786392 45883476 53530722 71374296 80296083 91766952 107061444 160592166 214122888 321184332 642368664
- Sum of all divisors σ(n): 2197324800
- Sum of proper divisors (its aliquot sum) s(n): 1554956136
- 642368664 is an abundant number, because the sum of its proper divisors (1554956136) is greater than itself. Its abundance is 912587472
Bases of 642368664
- Binary: 1001100100100111000100100110002
- Hexadecimal: 0x2649C498
- Base-36: AMG6U0
Squares and roots of 642368664
- 642368664 squared (6423686642) is 412637500489144896
- 642368664 cubed (6423686643) is 265065399905511353345938944
-
The
square root of 642368664 is 25344.9928782789 -
The
cube root of 642368664 is 862.8357195911
Scales and comparisons
How big is 642368664?- 642,368,664 seconds is equal to 20 years, 22 weeks, 19 hours, 44 minutes, 24 seconds.
-
To count from 1 to 642,368,664 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 642368664 cubic inches would be around 71.9 feet tall.
Recreational maths with 642368664
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