401146144
401,146,144 is an even composite number composed of five prime numbers multiplied together.
401146144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 401146144:
25 × 72 × 17 × 101 × 149
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 101 × 149)See below for interesting mathematical facts about the number 401146144 from the Numbermatics database.
Names of 401146144
- Cardinal: 401146144 can be written as Four hundred one million, one hundred forty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.01146144 × 108
Factors of 401146144
Divisors of 401146144
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 101 112 119 136 149 196 202 224 238 272 298 392 404 476 544 596 707 784 808 833 952 1043 1192 1414 1568 1616 1666 1717 1904 2086 2384 2533 2828 3232 3332 3434 3808 4172 4768 4949 5066 5656 6664 6868 7301 8344 9898 10132 11312 12019 13328 13736 14602 15049 16688 17731 19796 20264 22624 24038 26656 27472 29204 30098 33376 35462 39592 40528 48076 54944 58408 60196 70924 79184 81056 84133 96152 105343 116816 120392 124117 141848 158368 168266 192304 210686 233632 240784 248234 255833 283696 336532 384608 421372 481568 496468 511666 567392 673064 737401 842744 992936 1023332 1346128 1474802 1685488 1790831 1985872 2046664 2692256 2949604 3370976 3581662 3971744 4093328 5899208 7163324 8186656 11798416 12535817 14326648 23596832 25071634 28653296 50143268 57306592 100286536 200573072 401146144
- Sum of all divisors σ(n): 988961400
- Sum of proper divisors (its aliquot sum) s(n): 587815256
- 401146144 is an abundant number, because the sum of its proper divisors (587815256) is greater than itself. Its abundance is 186669112
Bases of 401146144
- Binary: 101111110100100000001001000002
- Hexadecimal: 0x17E90120
- Base-36: 6MTYCG
Squares and roots of 401146144
- 401146144 squared (4011461442) is 160918228846068736
- 401146144 cubed (4011461443) is 64551727000910043005353984
-
The
square root of 401146144 is 20028.6331036345 -
The
cube root of 401146144 is 737.5093670743
Scales and comparisons
How big is 401146144?- 401,146,144 seconds is equal to 12 years, 39 weeks, 1 day, 21 hours, 29 minutes, 4 seconds.
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To count from 1 to 401,146,144 would take you about nineteen 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 401146144 cubic inches would be around 61.5 feet tall.
Recreational maths with 401146144
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The information we have on file for 401146144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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