642834144
642,834,144 is an even composite number composed of four prime numbers multiplied together.
642834144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 642834144:
25 × 35 × 192 × 229
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 229)See below for interesting mathematical facts about the number 642834144 from the Numbermatics database.
Names of 642834144
- Cardinal: 642834144 can be written as Six hundred forty-two million, eight hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 6.42834144 × 108
Factors of 642834144
Divisors of 642834144
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 229 243 288 304 324 342 361 432 456 458 486 513 608 648 684 687 722 864 912 916 972 1026 1083 1296 1368 1374 1444 1539 1824 1832 1944 2052 2061 2166 2592 2736 2748 2888 3078 3249 3664 3888 4104 4122 4332 4351 4617 5472 5496 5776 6156 6183 6498 7328 7776 8208 8244 8664 8702 9234 9747 10992 11552 12312 12366 12996 13053 16416 16488 17328 17404 18468 18549 19494 21984 24624 24732 25992 26106 29241 32976 34656 34808 36936 37098 38988 39159 49248 49464 51984 52212 55647 58482 65952 69616 73872 74196 77976 78318 82669 87723 98928 103968 104424 111294 116964 117477 139232 147744 148392 155952 156636 165338 175446 197856 208848 222588 233928 234954 248007 296784 311904 313272 330676 350892 352431 417696 445176 467856 469908 496014 593568 626544 661352 701784 704862 744021 890352 935712 939816 992028 1057293 1253088 1322704 1403568 1409724 1488042 1780704 1879632 1984056 2114586 2232063 2645408 2807136 2819448 2976084 3759264 3968112 4229172 4464126 5638896 5952168 6696189 7936224 8458344 8928252 11277792 11904336 13392378 16916688 17856504 20088567 23808672 26784756 33833376 35713008 40177134 53569512 71426016 80354268 107139024 160708536 214278048 321417072 642834144
- Sum of all divisors σ(n): 2009531160
- Sum of proper divisors (its aliquot sum) s(n): 1366697016
- 642834144 is an abundant number, because the sum of its proper divisors (1366697016) is greater than itself. Its abundance is 723862872
Bases of 642834144
- Binary: 1001100101000011011110111000002
- Hexadecimal: 0x2650DEE0
- Base-36: AMQ600
Squares and roots of 642834144
- 642834144 squared (6428341442) is 413235736692212736
- 642834144 cubed (6428341443) is 265642041066747965612457984
-
The
square root of 642834144 is 25354.1740942197 -
The
cube root of 642834144 is 863.0440816633
Scales and comparisons
How big is 642834144?- 642,834,144 seconds is equal to 20 years, 22 weeks, 6 days, 5 hours, 2 minutes, 24 seconds.
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To count from 1 to 642,834,144 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 642834144 cubic inches would be around 71.9 feet tall.
Recreational maths with 642834144
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