381359664
381,359,664 is an even composite number composed of five prime numbers multiplied together.
381359664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 381359664:
24 × 34 × 7 × 127 × 331
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 127 × 331)See below for interesting mathematical facts about the number 381359664 from the Numbermatics database.
Names of 381359664
- Cardinal: 381359664 can be written as Three hundred eighty-one million, three hundred fifty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 3.81359664 × 108
Factors of 381359664
Divisors of 381359664
- Number of divisors d(n): 200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 127 144 162 168 189 216 252 254 324 331 336 378 381 432 504 508 567 648 662 756 762 889 993 1008 1016 1134 1143 1296 1324 1512 1524 1778 1986 2032 2268 2286 2317 2648 2667 2979 3024 3048 3429 3556 3972 4536 4572 4634 5296 5334 5958 6096 6858 6951 7112 7944 8001 8937 9072 9144 9268 10287 10668 11916 13716 13902 14224 15888 16002 17874 18288 18536 20574 20853 21336 23832 24003 26811 27432 27804 32004 35748 37072 41148 41706 42037 42672 47664 48006 53622 54864 55608 62559 64008 71496 72009 82296 83412 84074 96012 107244 111216 125118 126111 128016 142992 144018 164592 166824 168148 187677 192024 214488 250236 252222 288036 294259 333648 336296 375354 378333 384048 428976 500472 504444 576072 588518 672592 750708 756666 882777 1000944 1008888 1134999 1152144 1177036 1501416 1513332 1765554 2017776 2269998 2354072 2648331 3002832 3026664 3404997 3531108 4539996 4708144 5296662 6053328 6809994 7062216 7944993 9079992 10593324 13619988 14124432 15889986 18159984 21186648 23834979 27239976 31779972 42373296 47669958 54479952 63559944 95339916 127119888 190679832 381359664
- Sum of all divisors σ(n): 1275219968
- Sum of proper divisors (its aliquot sum) s(n): 893860304
- 381359664 is an abundant number, because the sum of its proper divisors (893860304) is greater than itself. Its abundance is 512500640
Bases of 381359664
- Binary: 101101011101100010110001100002
- Hexadecimal: 0x16BB1630
- Base-36: 6B1V00
Squares and roots of 381359664
- 381359664 squared (3813596642) is 145435193326192896
- 381359664 cubed (3813596643) is 55463116460651965217746944
-
The
square root of 381359664 is 19528.4321951353 -
The
cube root of 381359664 is 725.1784984193
Scales and comparisons
How big is 381359664?- 381,359,664 seconds is equal to 12 years, 6 weeks, 3 days, 21 hours, 14 minutes, 24 seconds.
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To count from 1 to 381,359,664 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 381359664 cubic inches would be around 60.4 feet tall.
Recreational maths with 381359664
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