138993360
138,993,360 is an even composite number composed of seven prime numbers multiplied together.
138993360 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 138993360:
24 × 3 × 5 × 11 × 17 × 19 × 163
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 19 × 163)See below for interesting mathematical facts about the number 138993360 from the Numbermatics database.
Names of 138993360
- Cardinal: 138993360 can be written as One hundred thirty-eight million, nine hundred ninety-three thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3899336 × 108
Factors of 138993360
Divisors of 138993360
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 19 20 22 24 30 33 34 38 40 44 48 51 55 57 60 66 68 76 80 85 88 95 102 110 114 120 132 136 152 163 165 170 176 187 190 204 209 220 228 240 255 264 272 285 304 323 326 330 340 374 380 408 418 440 456 489 510 528 561 570 627 646 652 660 680 748 760 815 816 836 880 912 935 969 978 1020 1045 1122 1140 1254 1292 1304 1320 1360 1496 1520 1615 1630 1672 1793 1870 1938 1956 2040 2090 2244 2280 2445 2508 2584 2608 2640 2771 2805 2992 3097 3135 3230 3260 3344 3553 3586 3740 3876 3912 4080 4180 4488 4560 4845 4890 5016 5168 5379 5542 5610 6194 6270 6460 6520 7106 7172 7480 7752 7824 8313 8360 8965 8976 9291 9690 9780 10032 10659 10758 11084 11220 12388 12540 12920 13040 13855 14212 14344 14960 15485 15504 16626 16720 17765 17930 18582 19380 19560 21318 21516 22168 22440 24776 25080 25840 26895 27710 28424 28688 30481 30970 33252 34067 35530 35860 37164 38760 39120 41565 42636 43032 44336 44880 46455 49552 50160 52649 53295 53790 55420 56848 60962 61940 66504 68134 71060 71720 74328 77520 83130 85272 86064 91443 92910 102201 105298 106590 107580 110840 121924 123880 133008 136268 142120 143440 148656 152405 157947 166260 170335 170544 182886 185820 204402 210596 213180 215160 221680 243848 247760 263245 272536 284240 304810 315894 332520 340670 365772 371640 408804 421192 426360 430320 457215 487696 511005 526490 545072 579139 609620 631788 665040 681340 731544 743280 789735 817608 842384 852720 914430 1022010 1052980 1158278 1219240 1263576 1362680 1463088 1579470 1635216 1737417 1828860 2044020 2105960 2316556 2438480 2527152 2725360 2895695 3158940 3474834 3657720 4088040 4211920 4633112 5791390 6317880 6949668 7315440 8176080 8687085 9266224 11582780 12635760 13899336 17374170 23165560 27798672 34748340 46331120 69496680 138993360
- Sum of all divisors σ(n): 527109120
- Sum of proper divisors (its aliquot sum) s(n): 388115760
- 138993360 is an abundant number, because the sum of its proper divisors (388115760) is greater than itself. Its abundance is 249122400
Bases of 138993360
- Binary: 10000100100011011110110100002
- Hexadecimal: 0x848DED0
- Base-36: 2AR3YO
Squares and roots of 138993360
- 138993360 squared (1389933602) is 19319154124089600
- 138993360 cubed (1389933603) is 2685234144065070445056000
-
The
square root of 138993360 is 11789.5445204639 -
The
cube root of 138993360 is 518.0018981957
Scales and comparisons
How big is 138993360?- 138,993,360 seconds is equal to 4 years, 21 weeks, 5 days, 17 hours, 16 minutes.
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To count from 1 to 138,993,360 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 138993360 cubic inches would be around 43.2 feet tall.
Recreational maths with 138993360
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