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312440403231 = 321119661251291
BaseRepresentation
bin1001000101111101110…
…01100011010100011111
31002212110111201222202100
410202332321203110133
520104334220400411
6355311054100143
731400364415455
oct4427671432437
91085414658670
10312440403231
1111056150a390
12506777aa653
13236032acc58
141119d4409d5
1581d9924456
hex48bee6351f

312440403231 has 48 divisors (see below), whose sum is σ = 519028548480. Its totient is φ = 179119512000.

The previous prime is 312440403157. The next prime is 312440403271. The reversal of 312440403231 is 132304044213.

312440403231 is a `hidden beast` number, since 3 + 1 + 24 + 4 + 0 + 403 + 231 = 666.

It is not a de Polignac number, because 312440403231 - 217 = 312440272159 is a prime.

It is a super-2 number, since 2×3124404032312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312440403195 and 312440403204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312440403271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117696 + ... + 1368986.

It is an arithmetic number, because the mean of its divisors is an integer number (10813094760).

Almost surely, 2312440403231 is an apocalyptic number.

312440403231 is a deficient number, since it is larger than the sum of its proper divisors (206588145249).

312440403231 is a wasteful number, since it uses less digits than its factorization.

312440403231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251988 (or 251985 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312440403231 its reverse (132304044213), we get a palindrome (444744447444).

The spelling of 312440403231 in words is "three hundred twelve billion, four hundred forty million, four hundred three thousand, two hundred thirty-one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 661 1881 1983 5949 7271 12559 21813 37677 65439 113031 138149 251291 414447 753873 1243341 2261619 2764201 4774529 8292603 14323587 24877809 42970761 52519819 157559457 166103351 472678371 498310053 1494930159 1827136861 3155963669 5481410583 9467891007 16444231749 28403673021 34715600359 104146801077 312440403231