398032128
398,032,128 is an even composite number composed of five prime numbers multiplied together.
398032128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 398032128:
28 × 32 × 13 × 97 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 97 × 137)See below for interesting mathematical facts about the number 398032128 from the Numbermatics database.
Names of 398032128
- Cardinal: 398032128 can be written as Three hundred ninety-eight million, thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 3.98032128 × 108
Factors of 398032128
Divisors of 398032128
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 97 104 117 128 137 144 156 192 194 208 234 256 274 288 291 312 384 388 411 416 468 548 576 582 624 768 776 822 832 873 936 1096 1152 1164 1233 1248 1261 1552 1644 1664 1746 1781 1872 2192 2304 2328 2466 2496 2522 3104 3288 3328 3492 3562 3744 3783 4384 4656 4932 4992 5044 5343 6208 6576 6984 7124 7488 7566 8768 9312 9864 9984 10088 10686 11349 12416 13152 13289 13968 14248 14976 15132 16029 17536 18624 19728 20176 21372 22698 24832 26304 26578 27936 28496 29952 30264 32058 35072 37248 39456 39867 40352 42744 45396 52608 53156 55872 56992 60528 64116 74496 78912 79734 80704 85488 90792 105216 106312 111744 113984 119601 121056 128232 157824 159468 161408 170976 172757 181584 212624 223488 227968 239202 242112 256464 315648 318936 322816 341952 345514 363168 425248 455936 478404 484224 512928 518271 637872 683904 691028 726336 850496 956808 968448 1025856 1036542 1275744 1367808 1382056 1452672 1554813 1700992 1913616 2051712 2073084 2551488 2764112 2905344 3109626 3401984 3827232 4103424 4146168 5102976 5528224 6219252 7654464 8292336 10205952 11056448 12438504 15308928 16584672 22112896 24877008 30617856 33169344 44225792 49754016 66338688 99508032 132677376 199016064 398032128
- Sum of all divisors σ(n): 1257759048
- Sum of proper divisors (its aliquot sum) s(n): 859726920
- 398032128 is an abundant number, because the sum of its proper divisors (859726920) is greater than itself. Its abundance is 461694792
Bases of 398032128
- Binary: 101111011100101111101000000002
- Hexadecimal: 0x17B97D00
- Base-36: 6KZ7K0
Squares and roots of 398032128
- 398032128 squared (3980321282) is 158429574920208384
- 398032128 cubed (3980321283) is 63060060843625973286961152
-
The
square root of 398032128 is 19950.7425425721 -
The
cube root of 398032128 is 735.5960290993
Scales and comparisons
How big is 398032128?- 398,032,128 seconds is equal to 12 years, 34 weeks, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 398,032,128 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 398032128 cubic inches would be around 61.3 feet tall.
Recreational maths with 398032128
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