Search a number
-
+
31442124329 = 71110327114629
BaseRepresentation
bin11101010010000110…
…001011111000101001
310000011020220102001022
4131102012023320221
51003343140434304
622235545502225
72162110434650
oct352206137051
9100136812038
1031442124329
1112375294420
126115aa1975
132c710a22c5
141743ba4197
15c4053eebe
hex75218be29

31442124329 has 32 divisors (see below), whose sum is σ = 39729930240. Its totient is φ = 24171307200.

The previous prime is 31442124323. The next prime is 31442124349. The reversal of 31442124329 is 92342124413.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31442124329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31442124323) 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 31 ways as a sum of consecutive naturals, for example, 2141987 + ... + 2156615.

It is an arithmetic number, because the mean of its divisors is an integer number (1241560320).

Almost surely, 231442124329 is an apocalyptic number.

It is an amenable number.

31442124329 is a deficient number, since it is larger than the sum of its proper divisors (8287805911).

31442124329 is a wasteful number, since it uses less digits than its factorization.

31442124329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15021.

The product of its digits is 41472, while the sum is 35.

The spelling of 31442124329 in words is "thirty-one billion, four hundred forty-two million, one hundred twenty-four thousand, three hundred twenty-nine".

Divisors: 1 7 11 77 103 271 721 1133 1897 2981 7931 14629 20867 27913 102403 160919 195391 307043 1126433 1506787 2149301 3964459 10547509 16574657 27751213 43609049 116022599 305263343 408339277 2858374939 4491732047 31442124329