137989371985920
137,989,371,985,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 137989371985920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
137989371985920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 137989371985920:
223 × 33 × 5 × 7 × 132 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 103)See below for interesting mathematical facts about the number 137989371985920 from the Numbermatics database.
Names of 137989371985920
- Cardinal: 137989371985920 can be written as One hundred thirty-seven trillion, nine hundred eighty-nine billion, three hundred seventy-one million, nine hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3798937198592 × 1014
Factors of 137989371985920
Divisors of 137989371985920
- Number of divisors d(n): 2304
-
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 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 84 90 91 96 103 104 105 108 112 117 120 126 128 130 135 140 144 156 160 168 169 180 182 189 192 195 206 208 210 216 224 234 240 252 256 260 270 273 280 288 309 312 315 320 336 338 351 360 364 378 384 390 412 416 420 432 448 455 468 480 504 507 512 515 520 540 546 560 576 585 618 624 630 640 672 676 702 720 721 728 756 768 780 819 824 832 840 845 864 896 910 927 936 945 960 1008 1014 1024 1030 1040 1080 1092 1120 1152 1170 1183 1236 1248 1260 1280 1339 1344 1352 1365 1404 1440 1442 1456 1512 1521 1536 1545 1560 1638 1648 1664 1680 1690 1728 1755 1792 1820 1854 1872 1890 1920 2016 2028 2048 2060 2080 2160 2163 2184 2240 2304 2340 2366 2457 2472 2496 2520 2535 2560 2678 2688 2704 2730 2781 2808 2880 2884 2912 3024 3042 3072 3090 3120 3276 3296 3328 3360 3380 3456 3510 3549 3584 3605 3640 3708 3744 3780 3840 4017 4032 4056 4095 4096 4120 4160 4320 4326 4368 4480 4563 4608 4635 4680 4732 4914 4944 4992 5040 5070 5120 5356 5376 5408 5460 5562 5616 5760 5768 5824 5915 6048 6084 6144 6180 6240 6489 6552 6592 6656 6695 6720 6760 6912 7020 7098 7168 7210 7280 7416 7488 7560 7605 7680 8034 8064 8112 8190 8192 8240 8320 8640 8652 8736 8960 9126 9216 9270 9360 9373 9464 9828 9888 9984 10080 10140 10240 10647 10712 10752 10815 10816 10920 11124 11232 11520 11536 11648 11830 12051 12096 12168 12285 12288 12360 12480 12978 13104 13184 13312 13390 13440 13520 13824 13905 14040 14196 14336 14420 14560 14832 14976 15120 15210 15360 16068 16128 16224 16380 16384 16480 16640 17280 17304 17407 17472 17745 17920 18252 18432 18540 18720 18746 18928 19467 19656 19776 19968 20085 20160 20280 20480 21294 21424 21504 21630 21632 21840 22248 22464 22815 23040 23072 23296 23660 24102 24192 24336 24570 24576 24720 24960 25956 26208 26368 26624 26780 26880 27040 27648 27810 28080 28119 28392 28672 28840 29120 29664 29952 30240 30420 30720 31941 32136 32256 32445 32448 32760 32768 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1061456707584 1078041968640 1095153745920 1149911433216 1179396341760 1232047964160 1277679370240 1314184495104 1326820884480 1339702640640 1437389291520 1516366725120 1533215244288 1642730618880 1724867149824 1769094512640 1916519055360 1971276742656 2122913415168 2156083937280 2190307491840 2299822866432 2464095928320 2555358740480 2653641768960 2874778583040 3066430488576 3285461237760 3449734299648 3538189025280 3833038110720 3942553485312 4312167874560 4599645732864 4928191856640 5110717480960 5307283537920 5749557166080 6570922475520 6899468599296 7666076221440 8624335749120 9199291465728 9856383713280 10614567075840 11499114332160 13798937198592 15332152442880 17248671498240 19712767426560 22998228664320 27597874397184 34497342996480 45996457328640 68994685992960 137989371985920
- Sum of all divisors σ(n): 613063595289600
- Sum of proper divisors (its aliquot sum) s(n): 475074223303680
- 137989371985920 is an abundant number, because the sum of its proper divisors (475074223303680) is greater than itself. Its abundance is 337084851317760
Bases of 137989371985920
- Binary: 111110110000000001001111000000000000000000000002
- Hexadecimal: 0x7D8027800000
- Base-36: 1CWVFXATC0
Squares and roots of 137989371985920
- 137989371985920 squared (1379893719859202) is 19041066781068603284678246400
- 137989371985920 cubed (1379893719859203) is 2627464847061619835892442508548991090688000
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The
square root of 137989371985920 is 11746887.7574411173 -
The
cube root of 137989371985920 is 51675.1658748681
Scales and comparisons
How big is 137989371985920?- 137,989,371,985,920 seconds is equal to 4,387,635 years, 10 weeks, 2 days, 19 hours, 12 minutes.
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To count from 1 to 137,989,371,985,920 would take you about ten million, nine hundred sixty-nine thousand and eighty-eight 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 137989371985920 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137989371985920
- 137989371985920 backwards is 029589173989731
- The number of decimal digits it has is: 15
- The sum of 137989371985920's digits is 81
- More coming soon!
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The information we have on file for 137989371985920 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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