Search a number
-
+
31142416164 = 2234402958943
BaseRepresentation
bin11101000000001110…
…111000111100100100
32222101100221122201220
4131000032320330210
51002234424304124
622150122020340
72151511112136
oct350016707444
988340848656
1031142416164
111223109a222
1260516476b0
132c23c772b2
141716069056
15c2408c879
hex7403b8f24

31142416164 has 24 divisors (see below), whose sum is σ = 72668520960. Its totient is φ = 10380393504.

The previous prime is 31142416141. The next prime is 31142416169. The reversal of 31142416164 is 46161424113.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31142416169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 498877 + ... + 557819.

It is an arithmetic number, because the mean of its divisors is an integer number (3027855040).

Almost surely, 231142416164 is an apocalyptic number.

It is an amenable number.

31142416164 is an abundant number, since it is smaller than the sum of its proper divisors (41526104796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31142416164 is a wasteful number, since it uses less digits than its factorization.

31142416164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102979 (or 102977 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The spelling of 31142416164 in words is "thirty-one billion, one hundred forty-two million, four hundred sixteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 44029 58943 88058 117886 132087 176116 176829 235772 264174 353658 528348 707316 2595201347 5190402694 7785604041 10380805388 15571208082 31142416164