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31413400421 = 13215727541
BaseRepresentation
bin11101010000011000…
…100111001101100101
310000002020212002020212
4131100120213031211
51003313312303141
622233042105205
72161311332534
oct352030471545
9100066762225
1031413400421
1112360055757
12610834b205
132c68156100
14174004831b
15c3cc692eb
hex750627365

31413400421 has 18 divisors (see below), whose sum is σ = 34238274102. Its totient is φ = 28808470080.

The previous prime is 31413400393. The next prime is 31413400439. The reversal of 31413400421 is 12400431413.

It can be written as a sum of positive squares in 9 ways, for example, as 27652031521 + 3761368900 = 166289^2 + 61330^2 .

It is not a de Polignac number, because 31413400421 - 26 = 31413400357 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 (31413400121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4161911 + ... + 4169451.

It is an arithmetic number, because the mean of its divisors is an integer number (1902126339).

Almost surely, 231413400421 is an apocalyptic number.

It is an amenable number.

31413400421 is a deficient number, since it is larger than the sum of its proper divisors (2824873681).

31413400421 is an equidigital number, since it uses as much as digits as its factorization.

31413400421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7881 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 31413400421 its reverse (12400431413), we get a palindrome (43813831834).

The spelling of 31413400421 in words is "thirty-one billion, four hundred thirteen million, four hundred thousand, four hundred twenty-one".

Divisors: 1 13 157 169 2041 7541 24649 26533 98033 320437 1183937 1274429 4165681 15391181 185878109 200085353 2416415417 31413400421