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31404002441 = 721523342073
BaseRepresentation
bin11101001111110100…
…110000110010001001
310000001121011121122112
4131033310300302021
51003303411034231
622232104432105
72161135421300
oct351764606211
9100047147575
1031404002441
1112355816929
126105178635
132c66215586
14173cabd437
15c3c00e92b
hex74fd30c89

31404002441 has 12 divisors (see below), whose sum is σ = 36534453012. Its totient is φ = 26915309568.

The previous prime is 31404002431. The next prime is 31404002467. The reversal of 31404002441 is 14420040413.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2536633225 + 28867369216 = 50365^2 + 169904^2 .

It is a de Polignac number, because none of the positive numbers 2k-31404002441 is a prime.

It is a super-2 number, since 2×314040024412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31404002411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 725381 + ... + 767453.

It is an arithmetic number, because the mean of its divisors is an integer number (3044537751).

Almost surely, 231404002441 is an apocalyptic number.

It is an amenable number.

31404002441 is a deficient number, since it is larger than the sum of its proper divisors (5130450571).

31404002441 is a wasteful number, since it uses less digits than its factorization.

31404002441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57320 (or 57313 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 31404002441 its reverse (14420040413), we get a palindrome (45824042854).

The spelling of 31404002441 in words is "thirty-one billion, four hundred four million, two thousand, four hundred forty-one".

Divisors: 1 7 49 15233 42073 106631 294511 746417 2061577 640898009 4486286063 31404002441