137873992960
137,873,992,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 137873992960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
137873992960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137873992960:
28 × 5 × 11 × 172 × 31 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 17 × 17 × 31 × 1093)See below for interesting mathematical facts about the number 137873992960 from the Numbermatics database.
Names of 137873992960
- Cardinal: 137873992960 can be written as One hundred thirty-seven billion, eight hundred seventy-three million, nine hundred ninety-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3787399296 × 1011
Factors of 137873992960
Divisors of 137873992960
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 31 32 34 40 44 55 62 64 68 80 85 88 110 124 128 136 155 160 170 176 187 220 248 256 272 289 310 320 340 341 352 374 440 496 527 544 578 620 640 680 682 704 748 880 935 992 1054 1088 1093 1156 1240 1280 1360 1364 1408 1445 1496 1705 1760 1870 1984 2108 2176 2186 2312 2480 2635 2720 2728 2816 2890 2992 3179 3410 3520 3740 3968 4216 4352 4372 4624 4960 5270 5440 5456 5465 5780 5797 5984 6358 6820 7040 7480 7936 8432 8744 8959 9248 9920 10540 10880 10912 10930 11560 11594 11968 12023 12716 13640 14080 14960 15895 16864 17488 17918 18496 18581 19840 21080 21760 21824 21860 23120 23188 23936 24046 25432 27280 28985 29920 31790 33728 33883 34976 35836 36992 37162 39680 42160 43648 43720 44795 46240 46376 47872 48092 50864 54560 57970 59840 60115 63580 67456 67766 69952 71672 73984 74324 84320 87296 87440 89590 92480 92752 92905 96184 98549 101728 109120 115940 119680 120230 127160 134912 135532 139904 143344 148648 168640 169415 174880 179180 184960 185504 185810 192368 197098 203456 204391 218240 231880 239360 240460 254320 271064 279808 286688 297296 315877 337280 338830 349760 358360 369920 371008 371620 372713 384736 394196 406912 408782 436480 463760 480920 492745 508640 542128 573376 576011 594592 631754 674560 677660 699520 716720 742016 743240 745426 769472 788392 813824 817564 927520 961840 985490 1017280 1021955 1084256 1146752 1152022 1189184 1263508 1355320 1399040 1433440 1484032 1486480 1490852 1538944 1576784 1579385 1635128 1855040 1863565 1923680 1970980 2034560 2043910 2168512 2293504 2304044 2378368 2527016 2710640 2866880 2880055 2972960 2981704 3077888 3153568 3158770 3270256 3474647 3710080 3727130 3847360 3941960 4069120 4087820 4337024 4608088 4756736 5054032 5421280 5733760 5760110 5945920 5963408 6307136 6317540 6336121 6540512 6949294 7420160 7454260 7694720 7883920 8175640 8674048 9216176 9792187 10108064 10842560 11467520 11520220 11891840 11926816 12614272 12635080 12672242 13081024 13898588 14908520 15389440 15767840 16351280 17373235 18432352 19584374 20216128 21685120 23040440 23783680 23853632 25228544 25270160 25344484 26162048 27797176 29817040 31535680 31680605 32702560 34746470 36864704 39168748 40432256 43370240 46080880 47707264 48960935 50540320 50688968 52324096 55594352 59634080 63071360 63361210 65405120 69492940 73729408 78337496 80864512 92161760 95414528 97921870 101080640 101377936 107714057 111188704 119268160 126142720 126722420 130810240 138985880 147458816 156674992 184323520 195843740 202161280 202755872 215428114 222377408 238536320 253444840 261620480 277971760 313349984 368647040 391687480 404322560 405511744 430856228 444754816 477072640 506889680 538570285 555943520 626699968 737294080 783374960 811023488 861712456 889509632 1013779360 1077140570 1111887040 1253399936 1566749920 1622046976 1723424912 2027558720 2154281140 2223774080 2506799872 3133499840 3446849824 4055117440 4308562280 4447548160 6266999680 6893699648 8110234880 8617124560 12533999360 13787399296 17234249120 27574798592 34468498240 68936996480 137873992960
- Sum of all divisors σ(n): 395420401152
- Sum of proper divisors (its aliquot sum) s(n): 257546408192
- 137873992960 is an abundant number, because the sum of its proper divisors (257546408192) is greater than itself. Its abundance is 119672415232
Bases of 137873992960
- Binary: 100000000110011110111000101101000000002
- Hexadecimal: 0x2019EE2D00
- Base-36: 1RC6M5TS
Squares and roots of 137873992960
- 137873992960 squared (1378739929602) is 19009237934734129561600
- 137873992960 cubed (1378739929603) is 2620879537188498318647766286336000
-
The
square root of 137873992960 is 371313.8739126239 -
The
cube root of 137873992960 is 5166.0759227093
Scales and comparisons
How big is 137873992960?- 137,873,992,960 seconds is equal to 4,383 years, 50 weeks, 1 day, 19 hours, 22 minutes, 40 seconds.
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To count from 1 to 137,873,992,960 would take you about eight thousand, seven hundred sixty-seven 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 137873992960 cubic inches would be around 430.5 feet tall.
Recreational maths with 137873992960
- 137873992960 backwards is 069299378731
- 137873992960 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137873992960's digits is 64
- More coming soon!
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