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312430031444431 = 6115775143439353
BaseRepresentation
bin100011100001001110100100…
…1000010101001100111001111
31111222020000112002001111200001
41013002131021002221213033
5311422323201022210211
63024252213000345131
7122544216301455145
oct10702351102514717
91458200462044601
10312430031444431
119060591779738a
122b05b0494751a7
13105440441873a4
1457219a0c89595
15261c04e913ac1
hex11c27490a99cf

312430031444431 has 16 divisors (see below), whose sum is σ = 319999997661568. Its totient is φ = 304944251040000.

The previous prime is 312430031444407. The next prime is 312430031444471. The reversal of 312430031444431 is 134444130034213.

It is a cyclic number.

It is not a de Polignac number, because 312430031444431 - 29 = 312430031443919 is a prime.

It is a super-2 number, since 2×3124300314444312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312430031444471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14527350 + ... + 28912003.

It is an arithmetic number, because the mean of its divisors is an integer number (19999999853848).

Almost surely, 2312430031444431 is an apocalyptic number.

312430031444431 is a deficient number, since it is larger than the sum of its proper divisors (7569966217137).

312430031444431 is a wasteful number, since it uses less digits than its factorization.

312430031444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43440322.

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 312430031444431 its reverse (134444130034213), we get a palindrome (446874161478644).

The spelling of 312430031444431 in words is "three hundred twelve trillion, four hundred thirty billion, thirty-one million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 61 157 751 9577 45811 117907 7192327 43439353 2649800533 6819978421 32622954103 416018683681 1990000200283 5121803794171 312430031444431