138988800
138,988,800 is an even composite number composed of five prime numbers multiplied together.
138988800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138988800:
28 × 32 × 52 × 19 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 19 × 127)See below for interesting mathematical facts about the number 138988800 from the Numbermatics database.
Names of 138988800
- Cardinal: 138988800 can be written as One hundred thirty-eight million, nine hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389888 × 108
Factors of 138988800
Divisors of 138988800
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 127 128 144 150 152 160 171 180 190 192 200 225 228 240 254 256 285 288 300 304 320 342 360 380 381 384 400 450 456 475 480 508 570 576 600 608 635 640 684 720 760 762 768 800 855 900 912 950 960 1016 1140 1143 1152 1200 1216 1270 1280 1368 1425 1440 1520 1524 1600 1710 1800 1824 1900 1905 1920 2032 2280 2286 2304 2400 2413 2432 2540 2736 2850 2880 3040 3048 3175 3200 3420 3600 3648 3800 3810 3840 4064 4275 4560 4572 4800 4826 4864 5080 5472 5700 5715 5760 6080 6096 6350 6400 6840 7200 7239 7296 7600 7620 8128 8550 9120 9144 9525 9600 9652 10160 10944 11400 11430 11520 12065 12160 12192 12700 13680 14400 14478 14592 15200 15240 16256 17100 18240 18288 19050 19200 19304 20320 21717 21888 22800 22860 24130 24320 24384 25400 27360 28575 28800 28956 30400 30480 32512 34200 36195 36480 36576 38100 38608 40640 43434 43776 45600 45720 48260 48768 50800 54720 57150 57600 57912 60325 60800 60960 68400 72390 72960 73152 76200 77216 81280 86868 91200 91440 96520 97536 101600 108585 109440 114300 115824 120650 121600 121920 136800 144780 146304 152400 154432 162560 173736 180975 182400 182880 193040 203200 217170 218880 228600 231648 241300 243840 273600 289560 292608 304800 308864 347472 361950 364800 365760 386080 406400 434340 457200 463296 482600 487680 542925 547200 579120 609600 617728 694944 723900 731520 772160 812800 868680 914400 926592 965200 1085850 1094400 1158240 1219200 1389888 1447800 1463040 1544320 1737360 1828800 1853184 1930400 2171700 2316480 2438400 2779776 2895600 3088640 3474720 3657600 3860800 4343400 4632960 5559552 5791200 6949440 7315200 7721600 8686800 9265920 11582400 13898880 15443200 17373600 23164800 27797760 34747200 46329600 69494400 138988800
- Sum of all divisors σ(n): 527188480
- Sum of proper divisors (its aliquot sum) s(n): 388199680
- 138988800 is an abundant number, because the sum of its proper divisors (388199680) is greater than itself. Its abundance is 249210880
Bases of 138988800
- Binary: 10000100100011001101000000002
- Hexadecimal: 0x848CD00
- Base-36: 2AR0G0
Squares and roots of 138988800
- 138988800 squared (1389888002) is 19317886525440000
- 138988800 cubed (1389888003) is 2684969866707075072000000
-
The
square root of 138988800 is 11789.3511271825 -
The
cube root of 138988800 is 517.9962333819
Scales and comparisons
How big is 138988800?- 138,988,800 seconds is equal to 4 years, 21 weeks, 5 days, 16 hours.
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To count from 1 to 138,988,800 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 138988800 cubic inches would be around 43.2 feet tall.
Recreational maths with 138988800
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