137023920
137,023,920 is an even composite number composed of six prime numbers multiplied together.
137023920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137023920:
24 × 33 × 5 × 11 × 73 × 79
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 73 × 79)See below for interesting mathematical facts about the number 137023920 from the Numbermatics database.
Names of 137023920
- Cardinal: 137023920 can be written as One hundred thirty-seven million, twenty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3702392 × 108
Factors of 137023920
Divisors of 137023920
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 73 79 80 88 90 99 108 110 120 132 135 144 146 158 165 176 180 198 216 219 220 237 240 264 270 292 297 316 330 360 365 395 396 432 438 440 474 495 528 540 584 594 632 657 660 711 720 730 790 792 803 869 876 880 948 990 1080 1095 1168 1185 1188 1264 1314 1320 1422 1460 1485 1580 1584 1606 1738 1752 1896 1971 1980 2133 2160 2190 2370 2376 2409 2607 2628 2640 2844 2920 2970 3160 3212 3285 3476 3504 3555 3792 3942 3960 4015 4266 4345 4380 4740 4752 4818 5214 5256 5688 5767 5840 5940 6320 6424 6570 6952 7110 7227 7821 7884 7920 8030 8532 8690 8760 9480 9636 9855 10428 10512 10665 11376 11534 11880 12045 12848 13035 13140 13904 14220 14454 15642 15768 16060 17064 17301 17380 17520 18960 19272 19710 20856 21330 21681 23068 23463 23760 24090 26070 26280 28440 28835 28908 31284 31536 32120 34128 34602 34760 36135 38544 39105 39420 41712 42660 43362 46136 46926 48180 51903 52140 52560 56880 57670 57816 62568 63437 64240 69204 69520 72270 78210 78840 85320 86505 86724 92272 93852 96360 103806 104280 108405 115340 115632 117315 125136 126874 138408 144540 155709 156420 157680 170640 173010 173448 187704 190311 192720 207612 208560 216810 230680 234630 253748 259515 276816 289080 311418 312840 317185 346020 346896 375408 380622 415224 433620 461360 469260 507496 519030 570933 578160 622836 625680 634370 692040 761244 778545 830448 867240 938520 951555 1014992 1038060 1141866 1245672 1268740 1384080 1522488 1557090 1712799 1734480 1877040 1903110 2076120 2283732 2491344 2537480 2854665 3044976 3114180 3425598 3806220 4152240 4567464 5074960 5709330 6228360 6851196 7612440 8563995 9134928 11418660 12456720 13702392 15224880 17127990 22837320 27404784 34255980 45674640 68511960 137023920
- Sum of all divisors σ(n): 528537600
- Sum of proper divisors (its aliquot sum) s(n): 391513680
- 137023920 is an abundant number, because the sum of its proper divisors (391513680) is greater than itself. Its abundance is 254489760
Bases of 137023920
- Binary: 10000010101011010001101100002
- Hexadecimal: 0x82AD1B0
- Base-36: 29KWC0
Squares and roots of 137023920
- 137023920 squared (1370239202) is 18775554652166400
- 137023920 cubed (1370239203) is 2572700098614076620288000
-
The
square root of 137023920 is 11705.7216778805 -
The
cube root of 137023920 is 515.5436744463
Scales and comparisons
How big is 137023920?- 137,023,920 seconds is equal to 4 years, 18 weeks, 3 days, 22 hours, 12 minutes.
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To count from 1 to 137,023,920 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 137023920 cubic inches would be around 43 feet tall.
Recreational maths with 137023920
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Numbermatics. (2024). Number 137023920 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137023920/
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