Base | Representation |
---|---|
bin | 1001000011011001… |
… | …0001101110000000 |
3 | 20021100202021121100 |
4 | 2100312101232000 |
5 | 14434104204311 |
6 | 1041050254400 |
7 | 114135625002 |
oct | 22066215600 |
9 | 6240667540 |
10 | 2430147456 |
11 | 1037833830 |
12 | 579a27400 |
13 | 2c9612a99 |
14 | 190a6a372 |
15 | e352da56 |
hex | 90d91b80 |
2430147456 has 96 divisors (see below), whose sum is σ = 7628769720. Its totient is φ = 736404480.
The previous prime is 2430147439. The next prime is 2430147509. The reversal of 2430147456 is 6547410342.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 2430147456.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83215 + ... + 108558.
Almost surely, 22430147456 is an apocalyptic number.
It is an amenable number.
2430147456 is an abundant number, since it is smaller than the sum of its proper divisors (5198622264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2430147456 is a wasteful number, since it uses less digits than its factorization.
2430147456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191804 (or 191789 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The square root of 2430147456 is about 49296.5258005065. The cubic root of 2430147456 is about 1344.4486172450.
Adding to 2430147456 its reverse (6547410342), we get a palindrome (8977557798).
The spelling of 2430147456 in words is "two billion, four hundred thirty million, one hundred forty-seven thousand, four hundred fifty-six".
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