| Base | Representation |
|---|---|
| bin | 110101001110000001… |
| … | …0111001001011110000 |
| 3 | 101220222212102221221000 |
| 4 | 1222130002321023300 |
| 5 | 3333030002411104 |
| 6 | 124300334202000 |
| 7 | 11154066531300 |
| oct | 1523402711360 |
| 9 | 356885387830 |
| 10 | 114287153904 |
| 11 | 44518134310 |
| 12 | 1a196653300 |
| 13 | aa1476c271 |
| 14 | 5762725600 |
| 15 | 2e8d690639 |
| hex | 1a9c0b92f0 |
114287153904 has 960 divisors, whose sum is σ = 437731983360. Its totient is φ = 28195776000.
The previous prime is 114287153899. The next prime is 114287153909. The reversal of 114287153904 is 409351782411.
114287153904 is a `hidden beast` number, since 1 + 1 + 42 + 8 + 71 + 539 + 0 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (114287153899) and next prime (114287153909).
It is a self number, because there is not a number n which added to its sum of digits gives 114287153904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (114287153909) 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 191 ways as a sum of consecutive naturals, for example, 512498337 + ... + 512498559.
It is an arithmetic number, because the mean of its divisors is an integer number (455970816).
Almost surely, 2114287153904 is an apocalyptic number.
114287153904 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 114287153904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218865991680).
114287153904 is an abundant number, since it is smaller than the sum of its proper divisors (323444829456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
114287153904 is a wasteful number, since it uses less digits than its factorization.
114287153904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 367 (or 348 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The spelling of 114287153904 in words is "one hundred fourteen billion, two hundred eighty-seven million, one hundred fifty-three thousand, nine hundred four".
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