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31441522514413 = 11671011972144117
BaseRepresentation
bin1110010011000100011001…
…10001111101100111101101
311010022210001202121211121011
413021202030301331213231
513110114214230430123
6150512011441305221
76423401144525464
oct711421461754755
9133283052554534
1031441522514413
11a022302864a60
1236396b2335211
131470bcc67167b
147a9ac64479db
15397ced415e0d
hex1c988cc7d9ed

31441522514413 has 32 divisors (see below), whose sum is σ = 35334927416448. Its totient is φ = 27736284576000.

The previous prime is 31441522514407. The next prime is 31441522514447.

31441522514413 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-31441522514413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441522515413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13592031 + ... + 15736147.

It is an arithmetic number, because the mean of its divisors is an integer number (1104216481764).

Almost surely, 231441522514413 is an apocalyptic number.

It is an amenable number.

31441522514413 is a deficient number, since it is larger than the sum of its proper divisors (3893404902035).

31441522514413 is a wasteful number, since it uses less digits than its factorization.

31441522514413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144493.

The product of its digits is 230400, while the sum is 40.

It can be divided in two parts, 3144152 and 2514413, that added together give a palindrome (5658565).

The spelling of 31441522514413 in words is "thirty-one trillion, four hundred forty-one billion, five hundred twenty-two million, five hundred fourteen thousand, four hundred thirteen".

Divisors: 1 11 67 101 197 737 1111 2167 6767 13199 19897 74437 145189 218867 1333099 2144117 14664089 23585287 143655839 216555817 422391049 1580214229 2382113987 4646301539 14509239739 28300200283 42661495949 159601637129 311302203113 469276455439 2858320228583 31441522514413