380032128
380,032,128 is an even composite number composed of five prime numbers multiplied together.
380032128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 380032128:
27 × 33 × 7 × 23 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 23 × 683)See below for interesting mathematical facts about the number 380032128 from the Numbermatics database.
Names of 380032128
- Cardinal: 380032128 can be written as Three hundred eighty million, thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.80032128 × 108
Factors of 380032128
Divisors of 380032128
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 72 84 92 96 108 112 126 128 138 144 161 168 184 189 192 207 216 224 252 276 288 322 336 368 378 384 414 432 448 483 504 552 576 621 644 672 683 736 756 828 864 896 966 1008 1104 1152 1242 1288 1344 1366 1449 1472 1512 1656 1728 1932 2016 2049 2208 2484 2576 2688 2732 2898 2944 3024 3312 3456 3864 4032 4098 4347 4416 4781 4968 5152 5464 5796 6048 6147 6624 7728 8064 8196 8694 8832 9562 9936 10304 10928 11592 12096 12294 13248 14343 15456 15709 16392 17388 18441 19124 19872 20608 21856 23184 24192 24588 26496 28686 30912 31418 32784 34776 36882 38248 39744 43029 43712 46368 47127 49176 57372 61824 62836 65568 69552 73764 76496 79488 86058 87424 92736 94254 98352 109963 114744 125672 129087 131136 139104 141381 147528 152992 172116 185472 188508 196704 219926 229488 251344 258174 262272 278208 282762 295056 305984 329889 344232 377016 393408 424143 439852 458976 502688 516348 556416 565524 590112 611968 659778 688464 754032 786816 848286 879704 917952 989667 1005376 1032696 1131048 1180224 1319556 1376928 1508064 1696572 1759408 1835904 1979334 2010752 2065392 2262096 2360448 2639112 2753856 2969001 3016128 3393144 3518816 3958668 4130784 4524192 5278224 5507712 5938002 6032256 6786288 7037632 7917336 8261568 9048384 10556448 11876004 13572576 14075264 15834672 16523136 18096768 21112896 23752008 27145152 31669344 42225792 47504016 54290304 63338688 95008032 126677376 190016064 380032128
- Sum of all divisors σ(n): 1339545600
- Sum of proper divisors (its aliquot sum) s(n): 959513472
- 380032128 is an abundant number, because the sum of its proper divisors (959513472) is greater than itself. Its abundance is 579481344
Bases of 380032128
- Binary: 101101010011011010100100000002
- Hexadecimal: 0x16A6D480
- Base-36: 6A9EO0
Squares and roots of 380032128
- 380032128 squared (3800321282) is 144424418312208384
- 380032128 cubed (3800321283) is 54885919026350720550961152
-
The
square root of 380032128 is 19494.4127380129 -
The
cube root of 380032128 is 724.3360567627
Scales and comparisons
How big is 380032128?- 380,032,128 seconds is equal to 12 years, 4 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 380,032,128 would take you about eighteen 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 380032128 cubic inches would be around 60.4 feet tall.
Recreational maths with 380032128
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