138386880
138,386,880 is an even composite number composed of five prime numbers multiplied together.
138386880 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 138386880:
26 × 34 × 5 × 19 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 19 × 281)See below for interesting mathematical facts about the number 138386880 from the Numbermatics database.
Names of 138386880
- Cardinal: 138386880 can be written as One hundred thirty-eight million, three hundred eighty-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3838688 × 108
Factors of 138386880
Divisors of 138386880
- Number of divisors d(n): 280
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 64 72 76 80 81 90 95 96 108 114 120 135 144 152 160 162 171 180 190 192 216 228 240 270 281 285 288 304 320 324 342 360 380 405 432 456 480 513 540 562 570 576 608 648 684 720 760 810 843 855 864 912 960 1026 1080 1124 1140 1216 1296 1368 1405 1440 1520 1539 1620 1686 1710 1728 1824 2052 2160 2248 2280 2529 2565 2592 2736 2810 2880 3040 3078 3240 3372 3420 3648 4104 4215 4320 4496 4560 5058 5130 5184 5339 5472 5620 6080 6156 6480 6744 6840 7587 7695 8208 8430 8640 8992 9120 10116 10260 10678 10944 11240 12312 12645 12960 13488 13680 15174 15390 16017 16416 16860 17984 18240 20232 20520 21356 22480 22761 24624 25290 25920 26695 26976 27360 30348 30780 32034 32832 33720 37935 40464 41040 42712 44960 45522 48051 49248 50580 53390 53952 54720 60696 61560 64068 67440 75870 80085 80928 82080 85424 89920 91044 96102 98496 101160 106780 113805 121392 123120 128136 134880 144153 151740 160170 161856 164160 170848 182088 192204 202320 213560 227610 240255 242784 246240 256272 269760 288306 303480 320340 341696 364176 384408 404640 427120 432459 455220 480510 485568 492480 512544 576612 606960 640680 720765 728352 768816 809280 854240 864918 910440 961020 1025088 1153224 1213920 1281360 1441530 1456704 1537632 1708480 1729836 1820880 1922040 2162295 2306448 2427840 2562720 2883060 3075264 3459672 3641760 3844080 4324590 4612896 5125440 5766120 6919344 7283520 7688160 8649180 9225792 11532240 13838688 15376320 17298360 23064480 27677376 34596720 46128960 69193440 138386880
- Sum of all divisors σ(n): 520019280
- Sum of proper divisors (its aliquot sum) s(n): 381632400
- 138386880 is an abundant number, because the sum of its proper divisors (381632400) is greater than itself. Its abundance is 243245520
Bases of 138386880
- Binary: 10000011111110011101110000002
- Hexadecimal: 0x83F9DC0
- Base-36: 2AE400
Squares and roots of 138386880
- 138386880 squared (1383868802) is 19150928556134400
- 138386880 cubed (1383868803) is 2650237251986344476672000
-
The
square root of 138386880 is 11763.7953059373 -
The
cube root of 138386880 is 517.2473877375
Scales and comparisons
How big is 138386880?- 138,386,880 seconds is equal to 4 years, 20 weeks, 5 days, 16 hours, 48 minutes.
-
To count from 1 to 138,386,880 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 138386880 cubic inches would be around 43.1 feet tall.
Recreational maths with 138386880
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