138420324
138,420,324 is an even composite number composed of six prime numbers multiplied together.
138420324 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138420324:
22 × 32 × 7 × 17 × 79 × 409
(2 × 2 × 3 × 3 × 7 × 17 × 79 × 409)See below for interesting mathematical facts about the number 138420324 from the Numbermatics database.
Names of 138420324
- Cardinal: 138420324 can be written as One hundred thirty-eight million, four hundred twenty thousand, three hundred twenty-four.
Scientific notation
- Scientific notation: 1.38420324 × 108
Factors of 138420324
Divisors of 138420324
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 79 84 102 119 126 153 158 204 237 238 252 306 316 357 409 474 476 553 612 711 714 818 948 1071 1106 1227 1343 1422 1428 1636 1659 2142 2212 2454 2686 2844 2863 3318 3681 4029 4284 4908 4977 5372 5726 6636 6953 7362 8058 8589 9401 9954 11452 12087 13906 14724 16116 17178 18802 19908 20859 24174 25767 27812 28203 32311 34356 37604 41718 48348 48671 51534 56406 62577 64622 83436 84609 96933 97342 103068 112812 125154 129244 146013 169218 193866 194684 226177 250308 290799 292026 338436 387732 438039 452354 549287 581598 584052 678531 876078 904708 1098574 1163196 1357062 1647861 1752156 2035593 2197148 2714124 3295722 3845009 4071186 4943583 6591444 7690018 8142372 9887166 11535027 15380036 19774332 23070054 34605081 46140108 69210162 138420324
- Sum of all divisors σ(n): 429811200
- Sum of proper divisors (its aliquot sum) s(n): 291390876
- 138420324 is an abundant number, because the sum of its proper divisors (291390876) is greater than itself. Its abundance is 152970552
Bases of 138420324
- Binary: 10000100000000100000011001002
- Hexadecimal: 0x8402064
- Base-36: 2AETT0
Squares and roots of 138420324
- 138420324 squared (1384203242) is 19160186096264976
- 138420324 cubed (1384203243) is 2652159167345293167772224
-
The
square root of 138420324 is 11765.2167000867 -
The
cube root of 138420324 is 517.2890521595
Scales and comparisons
How big is 138420324?- 138,420,324 seconds is equal to 4 years, 20 weeks, 6 days, 2 hours, 5 minutes, 24 seconds.
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To count from 1 to 138,420,324 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 138420324 cubic inches would be around 43.1 feet tall.
Recreational maths with 138420324
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