442094112
442,094,112 is an even composite number composed of five prime numbers multiplied together.
442094112 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 442094112:
25 × 34 × 17 × 79 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 17 × 79 × 127)See below for interesting mathematical facts about the number 442094112 from the Numbermatics database.
Names of 442094112
- Cardinal: 442094112 can be written as Four hundred forty-two million, ninety-four thousand, one hundred twelve.
Scientific notation
- Scientific notation: 4.42094112 × 108
Factors of 442094112
Divisors of 442094112
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 79 81 96 102 108 127 136 144 153 158 162 204 216 237 254 272 288 306 316 324 381 408 432 459 474 508 544 612 632 648 711 762 816 864 918 948 1016 1143 1224 1264 1296 1343 1377 1422 1524 1632 1836 1896 2032 2133 2159 2286 2448 2528 2592 2686 2754 2844 3048 3429 3672 3792 4029 4064 4266 4318 4572 4896 5372 5508 5688 6096 6399 6477 6858 7344 7584 8058 8532 8636 9144 10033 10287 10744 11016 11376 12087 12192 12798 12954 13716 14688 16116 17064 17272 18288 19431 20066 20574 21488 22032 22752 24174 25596 25908 27432 30099 32232 34128 34544 36261 36576 38862 40132 41148 42976 44064 48348 51192 51816 54864 58293 60198 64464 68256 69088 72522 77724 80264 82296 90297 96696 102384 103632 108783 109728 116586 120396 128928 145044 155448 160528 164592 170561 174879 180594 193392 204768 207264 217566 233172 240792 270891 290088 310896 321056 329184 341122 349758 361188 386784 435132 466344 481584 511683 541782 580176 621792 682244 699516 722376 812673 870264 932688 963168 1023366 1083564 1160352 1364488 1399032 1444752 1535049 1625346 1740528 1865376 2046732 2167128 2728976 2798064 2889504 3070098 3250692 3481056 4093464 4334256 4605147 5457952 5596128 6140196 6501384 8186928 8668512 9210294 12280392 13002768 13815441 16373856 18420588 24560784 26005536 27630882 36841176 49121568 55261764 73682352 110523528 147364704 221047056 442094112
- Sum of all divisors σ(n): 1405071360
- Sum of proper divisors (its aliquot sum) s(n): 962977248
- 442094112 is an abundant number, because the sum of its proper divisors (962977248) is greater than itself. Its abundance is 520883136
Bases of 442094112
- Binary: 110100101100111010010001000002
- Hexadecimal: 0x1A59D220
- Base-36: 7B7M00
Squares and roots of 442094112
- 442094112 squared (4420941122) is 195447203865068544
- 442094112 cubed (4420941123) is 86406058035610445778812928
-
The
square root of 442094112 is 21026.0341481697 -
The
cube root of 442094112 is 761.7952205631
Scales and comparisons
How big is 442094112?- 442,094,112 seconds is equal to 14 years, 2 weeks, 6 days, 19 hours, 55 minutes, 12 seconds.
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To count from 1 to 442,094,112 would take you about twenty-one 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 442094112 cubic inches would be around 63.5 feet tall.
Recreational maths with 442094112
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