137125128
137,125,128 is an even composite number composed of five prime numbers multiplied together.
137125128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137125128:
23 × 3 × 72 × 17 × 193
(2 × 2 × 2 × 3 × 7 × 7 × 17 × 19 × 19 × 19)See below for interesting mathematical facts about the number 137125128 from the Numbermatics database.
Names of 137125128
- Cardinal: 137125128 can be written as One hundred thirty-seven million, one hundred twenty-five thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37125128 × 108
Factors of 137125128
Divisors of 137125128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 49 51 56 57 68 76 84 98 102 114 119 133 136 147 152 168 196 204 228 238 266 294 323 357 361 392 399 408 456 476 532 588 646 714 722 798 833 931 952 969 1064 1083 1176 1292 1428 1444 1596 1666 1862 1938 2166 2261 2499 2527 2584 2793 2856 2888 3192 3332 3724 3876 4332 4522 4998 5054 5586 6137 6664 6783 6859 7448 7581 7752 8664 9044 9996 10108 11172 12274 13566 13718 15162 15827 17689 18088 18411 19992 20216 20577 22344 24548 27132 27436 30324 31654 35378 36822 41154 42959 47481 48013 49096 53067 54264 54872 60648 63308 70756 73644 82308 85918 94962 96026 106134 116603 126616 128877 141512 144039 147288 164616 171836 189924 192052 212268 233206 257754 288078 300713 336091 343672 349809 379848 384104 424536 466412 515508 576156 601426 672182 699618 816221 902139 932824 1008273 1031016 1152312 1202852 1344364 1399236 1632442 1804278 2016546 2405704 2448663 2688728 2798472 3264884 3608556 4033092 4897326 5713547 6529768 7217112 8066184 9794652 11427094 17140641 19589304 22854188 34281282 45708376 68562564 137125128
- Sum of all divisors σ(n): 445694400
- Sum of proper divisors (its aliquot sum) s(n): 308569272
- 137125128 is an abundant number, because the sum of its proper divisors (308569272) is greater than itself. Its abundance is 171444144
Bases of 137125128
- Binary: 10000010110001011101000010002
- Hexadecimal: 0x82C5D08
- Base-36: 29N2FC
Squares and roots of 137125128
- 137125128 squared (1371251282) is 18803300729016384
- 137125128 cubed (1371251283) is 2578405019288864970097152
-
The
square root of 137125128 is 11710.0438940253 -
The
cube root of 137125128 is 515.6705727361
Scales and comparisons
How big is 137125128?- 137,125,128 seconds is equal to 4 years, 18 weeks, 5 days, 2 hours, 18 minutes, 48 seconds.
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To count from 1 to 137,125,128 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 137125128 cubic inches would be around 43 feet tall.
Recreational maths with 137125128
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