138272120
138,272,120 is an even composite number composed of six prime numbers multiplied together.
138272120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138272120:
23 × 5 × 72 × 19 × 47 × 79
(2 × 2 × 2 × 5 × 7 × 7 × 19 × 47 × 79)See below for interesting mathematical facts about the number 138272120 from the Numbermatics database.
Names of 138272120
- Cardinal: 138272120 can be written as One hundred thirty-eight million, two hundred seventy-two thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3827212 × 108
Factors of 138272120
Divisors of 138272120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 19 20 28 35 38 40 47 49 56 70 76 79 94 95 98 133 140 152 158 188 190 196 235 245 266 280 316 329 376 380 392 395 470 490 532 553 632 658 665 760 790 893 931 940 980 1064 1106 1316 1330 1501 1580 1645 1786 1862 1880 1960 2212 2303 2632 2660 2765 3002 3160 3290 3572 3713 3724 3871 4424 4465 4606 4655 5320 5530 6004 6251 6580 7144 7426 7448 7505 7742 8930 9212 9310 10507 11060 11515 12008 12502 13160 14852 15010 15484 17860 18424 18565 18620 19355 21014 22120 23030 25004 25991 29704 30020 30968 31255 35720 37130 37240 38710 42028 43757 46060 50008 51982 52535 60040 62510 70547 73549 74260 77420 84056 87514 92120 103964 105070 125020 129955 141094 147098 148520 154840 175028 181937 207928 210140 218785 250040 259910 282188 294196 350056 352735 363874 367745 420280 437570 493829 519820 564376 588392 705470 727748 735490 875140 909685 987658 1039640 1410940 1455496 1470980 1750280 1819370 1975316 2469145 2821880 2941960 3456803 3638740 3950632 4938290 6913606 7277480 9876580 13827212 17284015 19753160 27654424 34568030 69136060 138272120
- Sum of all divisors σ(n): 393984000
- Sum of proper divisors (its aliquot sum) s(n): 255711880
- 138272120 is an abundant number, because the sum of its proper divisors (255711880) is greater than itself. Its abundance is 117439760
Bases of 138272120
- Binary: 10000011110111011101011110002
- Hexadecimal: 0x83DDD78
- Base-36: 2ABNG8
Squares and roots of 138272120
- 138272120 squared (1382721202) is 19119179169294400
- 138272120 cubed (1382721203) is 2643649436398175592128000
-
The
square root of 138272120 is 11758.9166167635 -
The
cube root of 138272120 is 517.1043690585
Scales and comparisons
How big is 138272120?- 138,272,120 seconds is equal to 4 years, 20 weeks, 4 days, 8 hours, 55 minutes, 20 seconds.
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To count from 1 to 138,272,120 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 138272120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138272120
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