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312444642636 = 223275712171383
BaseRepresentation
bin1001000101111110010…
…01101110010101001100
31002212110210201101010100
410202333021232111030
520104341312031021
6355311325011100
731400445433320
oct4427711562514
91085423641110
10312444642636
11110563945525
12506790b3a90
1323604135789
141119dc25980
1581d9eb0626
hex48bf26e54c

312444642636 has 72 divisors (see below), whose sum is σ = 904199039744. Its totient is φ = 89113517280.

The previous prime is 312444642611. The next prime is 312444642673. The reversal of 312444642636 is 636246444213.

312444642636 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 4 + 4 + 6 + 4 + 2 + 636 = 666.

312444642636 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312444642591 and 312444642600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941800 + ... + 1229583.

Almost surely, 2312444642636 is an apocalyptic number.

312444642636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

312444642636 is an abundant number, since it is smaller than the sum of its proper divisors (591754397108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312444642636 is a wasteful number, since it uses less digits than its factorization.

312444642636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171971 (or 2171966 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 312444642636 in words is "three hundred twelve billion, four hundred forty-four million, six hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 571 1142 1713 2284 3426 3997 5139 6852 7994 10278 11991 15988 20556 23982 35973 47964 71946 143892 2171383 4342766 6514149 8685532 13028298 15199681 19542447 26056596 30399362 39084894 45599043 60798724 78169788 91198086 136797129 182396172 273594258 547188516 1239859693 2479719386 3719579079 4959438772 7439158158 8679017851 11158737237 14878316316 17358035702 22317474474 26037053553 34716071404 44634948948 52074107106 78111160659 104148214212 156222321318 312444642636