| Base | Representation |
|---|---|
| bin | 100111001111111111… |
| … | …110000011000000000 |
| 3 | 11000210002221101200000 |
| 4 | 213033333300120000 |
| 5 | 1142302420140332 |
| 6 | 31205534400000 |
| 7 | 3021242442600 |
| oct | 471777603000 |
| 9 | 130702841600 |
| 10 | 42144302592 |
| 11 | 169673a6347 |
| 12 | 8202060000 |
| 13 | 3c883b2472 |
| 14 | 207b2aac00 |
| 15 | 1169da0b7c |
| hex | 9cfff0600 |
42144302592 has 720 divisors, whose sum is σ = 152142262272. Its totient is φ = 11600547840.
The previous prime is 42144302573. The next prime is 42144302611. The reversal of 42144302592 is 29520344124.
It is a happy number.
42144302592 is a `hidden beast` number, since 4 + 21 + 4 + 43 + 0 + 2 + 592 = 666.
42144302592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (42144302573) and next prime (42144302611).
It is a super-2 number, since 2×421443025922 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 42144302592 = 483 + 34803 = 11733 + 34353.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188987793 + ... + 188988015.
Almost surely, 242144302592 is an apocalyptic number.
42144302592 is a gapful number since it is divisible by the number (42) 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 42144302592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76071131136).
42144302592 is an abundant number, since it is smaller than the sum of its proper divisors (109997959680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42144302592 is an equidigital number, since it uses as much as digits as its factorization.
42144302592 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 301 (or 266 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The spelling of 42144302592 in words is "forty-two billion, one hundred forty-four million, three hundred two thousand, five hundred ninety-two".
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