137842432
137,842,432 is an even composite number composed of five prime numbers multiplied together.
137842432 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 137842432:
28 × 7 × 13 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 61 × 97)See below for interesting mathematical facts about the number 137842432 from the Numbermatics database.
Names of 137842432
- Cardinal: 137842432 can be written as One hundred thirty-seven million, eight hundred forty-two thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.37842432 × 108
Factors of 137842432
Divisors of 137842432
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 97 104 112 122 128 182 194 208 224 244 256 364 388 416 427 448 488 679 728 776 793 832 854 896 976 1261 1358 1456 1552 1586 1664 1708 1792 1952 2522 2716 2912 3104 3172 3328 3416 3904 5044 5432 5551 5824 5917 6208 6344 6832 7808 8827 10088 10864 11102 11648 11834 12416 12688 13664 15616 17654 20176 21728 22204 23296 23668 24832 25376 27328 35308 40352 41419 43456 44408 47336 50752 54656 70616 76921 80704 82838 86912 88816 94672 101504 109312 141232 153842 161408 165676 173824 177632 189344 203008 282464 307684 322816 331352 355264 378688 538447 564928 615368 662704 710528 757376 1076894 1129856 1230736 1325408 1421056 1514752 2153788 2259712 2461472 2650816 4307576 4922944 5301632 8615152 9845888 10603264 17230304 19691776 34460608 68921216 137842432
- Sum of all divisors σ(n): 347741632
- Sum of proper divisors (its aliquot sum) s(n): 209899200
- 137842432 is an abundant number, because the sum of its proper divisors (209899200) is greater than itself. Its abundance is 72056768
Bases of 137842432
- Binary: 10000011011101001111000000002
- Hexadecimal: 0x8374F00
- Base-36: 2A2FWG
Squares and roots of 137842432
- 137842432 squared (1378424322) is 19000536059674624
- 137842432 cubed (1378424323) is 2619080099769247300845568
-
The
square root of 137842432 is 11740.6316695483 -
The
cube root of 137842432 is 516.5681701013
Scales and comparisons
How big is 137842432?- 137,842,432 seconds is equal to 4 years, 19 weeks, 6 days, 9 hours, 33 minutes, 52 seconds.
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To count from 1 to 137,842,432 would take you about six 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 137842432 cubic inches would be around 43 feet tall.
Recreational maths with 137842432
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