138063120
138,063,120 is an even composite number composed of seven prime numbers multiplied together.
138063120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138063120:
24 × 3 × 5 × 13 × 17 × 19 × 137
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 19 × 137)See below for interesting mathematical facts about the number 138063120 from the Numbermatics database.
Names of 138063120
- Cardinal: 138063120 can be written as One hundred thirty-eight million, sixty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3806312 × 108
Factors of 138063120
Divisors of 138063120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 19 20 24 26 30 34 38 39 40 48 51 52 57 60 65 68 76 78 80 85 95 102 104 114 120 130 136 137 152 156 170 190 195 204 208 221 228 240 247 255 260 272 274 285 304 312 323 340 380 390 408 411 442 456 494 510 520 548 570 624 646 663 680 685 741 760 780 816 822 884 912 969 988 1020 1040 1096 1105 1140 1235 1292 1326 1360 1370 1482 1520 1560 1615 1644 1768 1781 1938 1976 2040 2055 2192 2210 2280 2329 2470 2584 2603 2652 2740 2964 3120 3230 3288 3315 3536 3562 3705 3876 3952 4080 4110 4199 4420 4560 4658 4845 4940 5168 5206 5304 5343 5480 5928 6460 6576 6630 6987 7124 7410 7752 7809 8220 8398 8840 8905 9316 9690 9880 10412 10608 10686 10960 11645 11856 12597 12920 13015 13260 13974 14248 14820 15504 15618 16440 16796 17680 17810 18632 19380 19760 20824 20995 21372 23290 25194 25840 26030 26520 26715 27948 28496 29640 30277 31236 32880 33592 33839 34935 35620 37264 38760 39045 41648 41990 42744 44251 46580 50388 52060 53040 53430 55896 59280 60554 62472 62985 67184 67678 69870 71240 77520 78090 83980 85488 88502 90831 93160 100776 101517 104120 106860 111792 121108 124944 125970 132753 135356 139740 142480 151385 156180 167960 169195 177004 181662 186320 201552 203034 208240 213720 221255 242216 251940 265506 270712 279480 302770 312360 335920 338390 354008 363324 406068 427440 442510 454155 484432 503880 507585 531012 541424 558960 575263 605540 624720 663765 676780 708016 726648 812136 885020 908310 1007760 1015170 1062024 1150526 1211080 1327530 1353560 1453296 1624272 1725789 1770040 1816620 2030340 2124048 2301052 2422160 2655060 2707120 2876315 3451578 3540080 3633240 4060680 4602104 5310120 5752630 6903156 7266480 8121360 8628945 9204208 10620240 11505260 13806312 17257890 23010520 27612624 34515780 46021040 69031560 138063120
- Sum of all divisors σ(n): 517466880
- Sum of proper divisors (its aliquot sum) s(n): 379403760
- 138063120 is an abundant number, because the sum of its proper divisors (379403760) is greater than itself. Its abundance is 241340640
Bases of 138063120
- Binary: 10000011101010101101000100002
- Hexadecimal: 0x83AAD10
- Base-36: 2A766O
Squares and roots of 138063120
- 138063120 squared (1380631202) is 19061425104134400
- 138063120 cubed (1380631203) is 2631679821523120163328000
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The
square root of 138063120 is 11750.0263829491 -
The
cube root of 138063120 is 516.8437011549
Scales and comparisons
How big is 138063120?- 138,063,120 seconds is equal to 4 years, 20 weeks, 1 day, 22 hours, 52 minutes.
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To count from 1 to 138,063,120 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 138063120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138063120
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