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31442333324413 = 11291572155729123
BaseRepresentation
bin1110010011000101111010…
…00110111101010001111101
311010022212011021022020211011
413021202331012331101331
513110122344312340123
6150512224123555221
76423430221354154
oct711427506752175
9133285137266734
1031442333324413
11a022689509570
12363989998bb11
131470ccb63a9bb
147a9b61dc859b
15397d496c5e0d
hex1c98bd1bd47d

31442333324413 has 32 divisors (see below), whose sum is σ = 35712403320960. Its totient is φ = 27420287381760.

The previous prime is 31442333324401. The next prime is 31442333324477.

31442333324413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31442333324413 - 221 = 31442331227261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31442333324813) 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, 1079624670 + ... + 1079653792.

It is an arithmetic number, because the mean of its divisors is an integer number (1116012603780).

Almost surely, 231442333324413 is an apocalyptic number.

It is an amenable number.

31442333324413 is a deficient number, since it is larger than the sum of its proper divisors (4270069996547).

31442333324413 is a wasteful number, since it uses less digits than its factorization.

31442333324413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50877.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3144233 and 3324413, that added together give a palindrome (6468646).

The spelling of 31442333324413 in words is "thirty-one trillion, four hundred forty-two billion, three hundred thirty-three million, three hundred twenty-four thousand, four hundred thirteen".

Divisors: 1 11 29 157 319 1727 4553 21557 29123 50083 237127 320353 625153 844567 3384449 4572311 6876683 9290237 37228939 50295421 98149021 132597019 627804511 1079639231 1458567209 6905849621 18206330819 98565308227 200269639009 1084218390497 2858393938583 31442333324413