137071168
137,071,168 is an even composite number composed of five prime numbers multiplied together.
137071168 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 137071168:
26 × 132 × 19 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 19 × 23 × 29)See below for interesting mathematical facts about the number 137071168 from the Numbermatics database.
Names of 137071168
- Cardinal: 137071168 can be written as One hundred thirty-seven million, seventy-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37071168 × 108
Factors of 137071168
Divisors of 137071168
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 8 13 16 19 23 26 29 32 38 46 52 58 64 76 92 104 116 152 169 184 208 232 247 299 304 338 368 377 416 437 464 494 551 598 608 667 676 736 754 832 874 928 988 1102 1196 1216 1334 1352 1472 1508 1748 1856 1976 2204 2392 2668 2704 3016 3211 3496 3887 3952 4408 4784 4901 5336 5408 5681 6032 6422 6992 7163 7774 7904 8671 8816 9568 9802 10672 10816 11362 12064 12673 12844 13984 14326 15548 15808 17342 17632 19136 19604 21344 22724 24128 25346 25688 27968 28652 31096 34684 35264 39208 42688 45448 50692 51376 57304 62192 69368 73853 78416 90896 93119 101384 102752 112723 114608 124384 138736 147706 156832 164749 181792 186238 202768 205504 225446 229216 248768 277472 295412 313664 329498 363584 372476 405536 450892 458432 554944 590824 658996 744952 811072 901784 1181648 1317992 1489904 1803568 2141737 2363296 2635984 2979808 3607136 4283474 4726592 5271968 5959616 7214272 8566948 10543936 17133896 34267792 68535584 137071168
- Sum of all divisors σ(n): 334670400
- Sum of proper divisors (its aliquot sum) s(n): 197599232
- 137071168 is an abundant number, because the sum of its proper divisors (197599232) is greater than itself. Its abundance is 60528064
Bases of 137071168
- Binary: 10000010101110001010010000002
- Hexadecimal: 0x82B8A40
- Base-36: 29LWSG
Squares and roots of 137071168
- 137071168 squared (1370711682) is 18788505096884224
- 137071168 cubed (1370711683) is 2575362338603873744453632
-
The
square root of 137071168 is 11707.7396622919 -
The
cube root of 137071168 is 515.6029234895
Scales and comparisons
How big is 137071168?- 137,071,168 seconds is equal to 4 years, 18 weeks, 4 days, 11 hours, 19 minutes, 28 seconds.
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To count from 1 to 137,071,168 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 137071168 cubic inches would be around 43 feet tall.
Recreational maths with 137071168
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