472075128
472,075,128 is an even composite number composed of five prime numbers multiplied together.
What does the number 472075128 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
472075128 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 472075128:
23 × 35 × 7 × 113 × 307
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 113 × 307)See below for interesting mathematical facts about the number 472075128 from the Numbermatics database.
Names of 472075128
- Cardinal: 472075128 can be written as Four hundred seventy-two million, seventy-five thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.72075128 × 108
Factors of 472075128
Divisors of 472075128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 113 126 162 168 189 216 226 243 252 307 324 339 378 452 486 504 567 614 648 678 756 791 904 921 972 1017 1134 1228 1356 1512 1582 1701 1842 1944 2034 2149 2268 2373 2456 2712 2763 3051 3164 3402 3684 4068 4298 4536 4746 5526 6102 6328 6447 6804 7119 7368 8136 8289 8596 9153 9492 11052 12204 12894 13608 14238 16578 17192 18306 18984 19341 21357 22104 24408 24867 25788 27459 28476 33156 34691 36612 38682 42714 49734 51576 54918 56952 58023 64071 66312 69382 73224 74601 77364 85428 99468 104073 109836 116046 128142 138764 149202 154728 170856 174069 192213 198936 208146 219672 232092 242837 256284 277528 298404 312219 348138 384426 416292 464184 485674 512568 522207 596808 624438 696276 728511 768852 832584 936657 971348 1044414 1248876 1392552 1457022 1537704 1873314 1942696 2088828 2185533 2497752 2809971 2914044 3746628 4177656 4371066 5619942 5828088 6556599 7493256 8429913 8742132 11239884 13113198 16859826 17484264 19669797 22479768 26226396 33719652 39339594 52452792 59009391 67439304 78679188 118018782 157358376 236037564 472075128
- Sum of all divisors σ(n): 1533692160
- Sum of proper divisors (its aliquot sum) s(n): 1061617032
- 472075128 is an abundant number, because the sum of its proper divisors (1061617032) is greater than itself. Its abundance is 589541904
Bases of 472075128
- Binary: 111000010001101001011011110002
- Hexadecimal: 0x1C234B78
- Base-36: 7T27I0
Squares and roots of 472075128
- 472075128 squared (4720751282) is 222854926476216384
- 472075128 cubed (4720751283) is 105204267941690438432497152
-
The
square root of 472075128 is 21727.2899368513 -
The
cube root of 472075128 is 778.6405907337
Scales and comparisons
How big is 472075128?- 472,075,128 seconds is equal to 15 years, 3 days, 19 hours, 58 minutes, 48 seconds.
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To count from 1 to 472,075,128 would take you about twenty-two 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 472075128 cubic inches would be around 64.9 feet tall.
Recreational maths with 472075128
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