137421385920
137,421,385,920 is an even composite number composed of seven prime numbers multiplied together.
137421385920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 137421385920:
26 × 34 × 5 × 73 × 13 × 29 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 29 × 41)See below for interesting mathematical facts about the number 137421385920 from the Numbermatics database.
Names of 137421385920
- Cardinal: 137421385920 can be written as One hundred thirty-seven billion, four hundred twenty-one million, three hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3742138592 × 1011
Factors of 137421385920
Divisors of 137421385920
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 29 30 32 35 36 39 40 41 42 45 48 49 52 54 56 58 60 63 64 65 70 72 78 80 81 82 84 87 90 91 96 98 104 105 108 112 116 117 120 123 126 130 135 140 144 145 147 156 160 162 164 168 174 180 182 189 192 195 196 203 205 208 210 216 224 232 234 240 245 246 252 260 261 270 273 280 287 288 290 294 312 315 320 324 328 336 343 348 351 360 364 369 377 378 390 392 405 406 410 416 420 432 435 441 448 455 464 468 480 490 492 504 520 522 533 540 546 560 567 574 576 580 585 588 609 615 624 630 637 648 656 672 686 696 702 720 728 735 738 754 756 780 783 784 810 812 819 820 832 840 861 864 870 882 910 928 936 945 960 980 984 1008 1015 1029 1040 1044 1053 1066 1080 1092 1107 1120 1131 1134 1148 1160 1170 1176 1189 1218 1230 1248 1260 1274 1296 1305 1312 1323 1344 1365 1372 1392 1404 1421 1435 1440 1456 1470 1476 1508 1512 1560 1566 1568 1599 1620 1624 1638 1640 1680 1715 1722 1728 1740 1755 1764 1820 1827 1845 1856 1872 1885 1890 1911 1960 1968 2009 2016 2030 2058 2080 2088 2106 2132 2160 2184 2205 2214 2240 2262 2268 2296 2320 2340 2349 2352 2378 2436 2457 2460 2496 2520 2548 2583 2592 2610 2624 2639 2646 2665 2730 2744 2784 2808 2835 2842 2870 2880 2912 2940 2952 3016 3024 3045 3087 3120 3132 3136 3185 3198 3240 3248 3276 3280 3321 3360 3393 3430 3444 3480 3510 3528 3567 3640 3654 3690 3731 3744 3770 3780 3822 3915 3920 3936 3969 4018 4032 4060 4095 4116 4160 4176 4212 4263 4264 4305 4320 4368 4410 4428 4459 4524 4536 4592 4640 4680 4698 4704 4756 4797 4872 4914 4920 5040 5096 5145 5166 5184 5220 5265 5278 5292 5330 5460 5481 5488 5535 5568 5616 5655 5670 5684 5733 5740 5824 5880 5904 5945 6027 6032 6048 6090 6174 6240 6264 6370 6396 6480 6496 6552 6560 6615 6642 6720 6786 6860 6888 6960 7020 7056 7105 7134 7280 7308 7371 7380 7462 7488 7540 7560 7644 7749 7830 7840 7872 7917 7938 7995 8036 8120 8190 8232 8323 8352 8424 8526 8528 8610 8640 8736 8820 8856 8918 9048 9072 9135 9184 9261 9280 9360 9396 9408 9512 9555 9594 9744 9828 9840 9947 10045 10080 10179 10192 10290 10332 10440 10530 10556 10584 10660 10701 10920 10962 10976 11070 11193 11232 11310 11340 11368 11466 11480 11745 11760 11808 11890 12054 12064 12096 12180 12285 12348 12480 12528 12740 12789 12792 12915 12960 12992 13104 13120 13195 13230 13284 13377 13572 13720 13776 13920 14040 14063 14112 14210 14268 14391 14560 14616 14742 14760 14924 15080 15120 15288 15435 15457 15498 15660 15680 15834 15876 15990 16072 16240 16380 16443 16464 16605 16646 16704 16848 16965 17052 17056 17199 17220 17472 17640 17712 17835 17836 18081 18096 18144 18270 18368 18473 18522 18655 18720 18792 19024 19110 19188 19488 19656 19680 19845 19894 20090 20160 20358 20384 20580 20664 20880 21060 21112 21168 21315 21320 21402 21840 21924 21952 22140 22295 22386 22464 22620 22680 22736 22932 22960 23247 23490 23520 23616 23751 23780 23985 24108 24128 24360 24570 24696 24969 25056 25480 25578 25584 25830 25920 26117 26208 26390 26460 26568 26754 27144 27405 27440 27552 27783 27840 28080 28126 28224 28420 28536 28665 28782 29120 29232 29484 29520 29841 29848 30135 30160 30240 30537 30576 30870 30914 30996 31320 31668 31752 31980 32103 32144 32480 32760 32886 32928 33210 33292 33579 33696 33930 34104 34112 34398 34440 35280 35424 35670 35672 36162 36192 36288 36540 36855 36946 37044 37310 37440 37584 38048 38220 38367 38376 38745 38976 39312 39360 39585 39690 39788 40131 40180 40716 40768 41160 41328 41615 41760 42120 42189 42224 42336 42630 42640 42804 43173 43680 43848 44280 44590 44772 45240 45360 45472 45864 45920 46305 46371 46494 46980 47040 47502 47560 47970 48216 48720 49140 49392 49735 49938 50112 50895 50960 51156 51168 51597 51660 52234 52416 52780 52920 53136 53505 53508 54243 54288 54810 54880 55104 55419 55566 55965 56160 56252 56840 57072 57330 57564 58261 58464 58968 59040 59682 59696 60270 60320 60480 61074 61152 61740 61828 61992 62640 63336 63504 63945 63960 64206 64288 64960 65520 65772 65856 66420 66584 66885 67158 67392 67860 68208 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755062560 763452144 789778080 817984440 837935280 848280160 858883662 880906320 934839360 947733696 954315180 981581328 1017936192 1057087584 1090645920 1117247040 1145178216 1174541760 1184667120 1226976660 1272420240 1308775104 1321359480 1402259040 1431472770 1510125120 1526904288 1579556160 1635968880 1675870560 1696560320 1717767324 1761812640 1908630360 1963162656 2114175168 2147209155 2181291840 2290356432 2369334240 2453953320 2544840480 2642718960 2804518080 2862945540 3053808576 3271937760 3351741120 3435534648 3523625280 3817260720 3926325312 4294418310 4580712864 4738668480 4907906640 5089680960 5285437920 5725891080 6543875520 6871069296 7634521440 8588836620 9161425728 9815813280 10570875840 11451782160 13742138592 15269042880 17177673240 19631626560 22903564320 27484277184 34355346480 45807128640 68710692960 137421385920
- Sum of all divisors σ(n): 650577312000
- Sum of proper divisors (its aliquot sum) s(n): 513155926080
- 137421385920 is an abundant number, because the sum of its proper divisors (513155926080) is greater than itself. Its abundance is 375734540160
Bases of 137421385920
- Binary: 11111111111101111001111110000110000002
- Hexadecimal: 0x1FFEF3F0C0
- Base-36: 1R4P5800
Squares and roots of 137421385920
- 137421385920 squared (1374213859202) is 18884637308173574246400
- 137421385920 cubed (1374213859203) is 2595153031485750716860307570688000
-
The
square root of 137421385920 is 370703.9059950677 -
The
cube root of 137421385920 is 5160.4167321623
Scales and comparisons
How big is 137421385920?- 137,421,385,920 seconds is equal to 4,369 years, 29 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 137,421,385,920 would take you about eight thousand, seven hundred thirty-nine 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 137421385920 cubic inches would be around 430 feet tall.
Recreational maths with 137421385920
- 137421385920 backwards is 029583124731
- 137421385920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137421385920's digits is 45
- More coming soon!
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"Number 137421385920 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 137421385920 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137421385920/
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The information we have on file for 137421385920 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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