137942040
137,942,040 is an even composite number composed of six prime numbers multiplied together.
137942040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137942040:
23 × 3 × 5 × 232 × 41 × 53
(2 × 2 × 2 × 3 × 5 × 23 × 23 × 41 × 53)See below for interesting mathematical facts about the number 137942040 from the Numbermatics database.
Names of 137942040
- Cardinal: 137942040 can be written as One hundred thirty-seven million, nine hundred forty-two thousand and forty.
Scientific notation
- Scientific notation: 1.3794204 × 108
Factors of 137942040
Divisors of 137942040
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 53 60 69 82 92 106 115 120 123 138 159 164 184 205 212 230 246 265 276 318 328 345 410 424 460 492 529 530 552 615 636 690 795 820 920 943 984 1058 1060 1219 1230 1272 1380 1587 1590 1640 1886 2116 2120 2173 2438 2460 2645 2760 2829 3174 3180 3657 3772 4232 4346 4715 4876 4920 5290 5658 6095 6348 6360 6519 7314 7544 7935 8692 9430 9752 10580 10865 11316 12190 12696 13038 14145 14628 15870 17384 18285 18860 21160 21689 21730 22632 24380 26076 28037 28290 29256 31740 32595 36570 37720 43378 43460 48760 49979 52152 56074 56580 63480 65067 65190 73140 84111 86756 86920 99958 108445 112148 113160 130134 130380 140185 146280 149937 168222 173512 199916 216890 224296 249895 260268 260760 280370 299874 325335 336444 399832 420555 433780 499790 520536 560740 599748 650670 672888 749685 841110 867560 999580 1121480 1149517 1199496 1301340 1499370 1682220 1999160 2299034 2602680 2998740 3364440 3448551 4598068 5747585 5997480 6897102 9196136 11495170 13794204 17242755 22990340 27588408 34485510 45980680 68971020 137942040
- Sum of all divisors σ(n): 451513440
- Sum of proper divisors (its aliquot sum) s(n): 313571400
- 137942040 is an abundant number, because the sum of its proper divisors (313571400) is greater than itself. Its abundance is 175629360
Bases of 137942040
- Binary: 10000011100011010100000110002
- Hexadecimal: 0x838D418
- Base-36: 2A4KRC
Squares and roots of 137942040
- 137942040 squared (1379420402) is 19028006399361600
- 137942040 cubed (1379420403) is 2624762019860993801664000
-
The
square root of 137942040 is 11744.8729239613 -
The
cube root of 137942040 is 516.6925680159
Scales and comparisons
How big is 137942040?- 137,942,040 seconds is equal to 4 years, 20 weeks, 13 hours, 14 minutes.
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To count from 1 to 137,942,040 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 137942040 cubic inches would be around 43.1 feet tall.
Recreational maths with 137942040
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