90400128
90,400,128 is an even composite number composed of five prime numbers multiplied together.
90400128 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 90400128:
27 × 3 × 7 × 132 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 199)See below for interesting mathematical facts about the number 90400128 from the Numbermatics database.
Names of 90400128
- Cardinal: 90400128 can be written as Ninety million, four hundred thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.0400128 × 107
Factors of 90400128
Divisors of 90400128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 169 182 192 199 208 224 273 312 336 338 364 384 398 416 448 507 546 597 624 672 676 728 796 832 896 1014 1092 1183 1194 1248 1344 1352 1393 1456 1592 1664 2028 2184 2366 2388 2496 2587 2688 2704 2786 2912 3184 3549 4056 4179 4368 4732 4776 4992 5174 5408 5572 5824 6368 7098 7761 8112 8358 8736 9464 9552 10348 10816 11144 11648 12736 14196 15522 16224 16716 17472 18109 18928 19104 20696 21632 22288 25472 28392 31044 32448 33432 33631 34944 36218 37856 38208 41392 44576 54327 56784 62088 64896 66864 67262 72436 75712 76416 82784 89152 100893 108654 113568 124176 133728 134524 144872 151424 165568 178304 201786 217308 227136 235417 248352 267456 269048 289744 331136 403572 434616 454272 470834 496704 534912 538096 579488 706251 807144 869232 941668 993408 1076192 1158976 1412502 1614288 1738464 1883336 2152384 2317952 2825004 3228576 3476928 3766672 4304768 5650008 6457152 6953856 7533344 11300016 12914304 15066688 22600032 30133376 45200064 90400128
- Sum of all divisors σ(n): 298656000
- Sum of proper divisors (its aliquot sum) s(n): 208255872
- 90400128 is an abundant number, because the sum of its proper divisors (208255872) is greater than itself. Its abundance is 117855744
Bases of 90400128
- Binary: 1010110001101100101100000002
- Hexadecimal: 0x5636580
- Base-36: 1HTL6O
Squares and roots of 90400128
- 90400128 squared (904001282) is 8172183142416384
- 90400128 cubed (904001283) is 738766402113883342897152
-
The
square root of 90400128 is 9507.8981904519 -
The
cube root of 90400128 is 448.8036171429
Scales and comparisons
How big is 90400128?- 90,400,128 seconds is equal to 2 years, 45 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
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To count from 1 to 90,400,128 would take you about four 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 90400128 cubic inches would be around 37.4 feet tall.
Recreational maths with 90400128
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