| Base | Representation |
|---|---|
| bin | 111110011011011111111… |
| … | …100010100010000000000 |
| 3 | 120012010120211221000010000 |
| 4 | 332123133330110100000 |
| 5 | 1030242143412222120 |
| 6 | 13042505515040000 |
| 7 | 621644350334106 |
| oct | 76333774242000 |
| 9 | 16163524830100 |
| 10 | 4290134492160 |
| 11 | 1404488093900 |
| 12 | 593559440000 |
| 13 | 251733a6922a |
| 14 | 10b90212bc76 |
| 15 | 768e24c5990 |
| hex | 3e6dff14400 |
4290134492160 has 2640 divisors, whose sum is σ = 18443511136512. Its totient is φ = 949074001920.
The previous prime is 4290134492159. The next prime is 4290134492167. The reversal of 4290134492160 is 612944310924.
4290134492160 is a `hidden beast` number, since 4 + 2 + 90 + 1 + 344 + 9 + 216 + 0 = 666.
4290134492160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2640).
It is a super-2 number, since 2×42901344921602 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4290134492167) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40094714827 + ... + 40094714933.
Almost surely, 24290134492160 is an apocalyptic number.
4290134492160 is a gapful number since it is divisible by the number (40) 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 4290134492160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9221755568256).
4290134492160 is an abundant number, since it is smaller than the sum of its proper divisors (14153376644352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4290134492160 is a wasteful number, since it uses less digits than its factorization.
4290134492160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230 (or 192 counting only the distinct ones).
The product of its (nonzero) digits is 373248, while the sum is 45.
The spelling of 4290134492160 in words is "four trillion, two hundred ninety billion, one hundred thirty-four million, four hundred ninety-two thousand, one hundred sixty".
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