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31144422444113 = 1119972837499747
BaseRepresentation
bin1110001010011011000000…
…01111001000110001010001
311002021101012100102111112202
413011031200033020301101
513040232234121202423
6150123314455532545
76363052551561506
oct705154017106121
9132241170374482
1031144422444113
119a18303599880
1235abbb808a155
13144bba258a7c4
147995804dd4ad
15390210630728
hex1c53603c8c51

31144422444113 has 16 divisors (see below), whose sum is σ = 34004796940224. Its totient is φ = 28288901933760.

The previous prime is 31144422444073. The next prime is 31144422444127.

31144422444113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31144422444113 - 240 = 30044910816337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31144422444173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62070506 + ... + 62570252.

It is an arithmetic number, because the mean of its divisors is an integer number (2125299808764).

Almost surely, 231144422444113 is an apocalyptic number.

It is an amenable number.

31144422444113 is a deficient number, since it is larger than the sum of its proper divisors (2860374496111).

31144422444113 is a wasteful number, since it uses less digits than its factorization.

31144422444113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504592.

The product of its digits is 147456, while the sum is 38.

It can be divided in two parts, 3114442 and 2444113, that added together give a palindrome (5558555).

The spelling of 31144422444113 in words is "thirty-one trillion, one hundred forty-four billion, four hundred twenty-two million, four hundred forty-four thousand, one hundred thirteen".

Divisors: 1 11 1997 2837 21967 31207 499747 5497217 5665489 62320379 997994759 1417782239 10977942349 15595604629 2831311131283 31144422444113