| Base | Representation |
|---|---|
| bin | 111111001000111… |
| … | …101100111100000 |
| 3 | 2201211021201211012 |
| 4 | 333020331213200 |
| 5 | 4132141023034 |
| 6 | 253040440052 |
| 7 | 35152010300 |
| oct | 7710754740 |
| 9 | 2654251735 |
| 10 | 1059314144 |
| 11 | 4a3a56439 |
| 12 | 256919028 |
| 13 | 13b606c05 |
| 14 | a098b600 |
| 15 | 62eeacce |
| hex | 3f23d9e0 |
1059314144 has 216 divisors, whose sum is σ = 2710055880. Its totient is φ = 404974080.
The previous prime is 1059314131. The next prime is 1059314147. The reversal of 1059314144 is 4414139501.
It is a super-2 number, since 2×10593141442 = 2244292911356905472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 1059314144.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1059314147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28630094 + ... + 28630130.
It is an arithmetic number, because the mean of its divisors is an integer number (12546555).
Almost surely, 21059314144 is an apocalyptic number.
1059314144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1059314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355027940).
1059314144 is an abundant number, since it is smaller than the sum of its proper divisors (1650741736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1059314144 is a wasteful number, since it uses less digits than its factorization.
1059314144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 96 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 32.
The square root of 1059314144 is about 32547.1065380626. The cubic root of 1059314144 is about 1019.3928669343.
The spelling of 1059314144 in words is "one billion, fifty-nine million, three hundred fourteen thousand, one hundred forty-four".
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