Search a number
-
+
31442431713 = 3711197163917
BaseRepresentation
bin11101010010000111…
…010110111011100001
310000011021111000200220
4131102013112323201
51003343230303323
622240000233253
72162113155060
oct352207267341
9100137430626
1031442431713
1112375484360
12611600b829
132c7117c1a4
141743c441d7
15c405a10e3
hex7521d6ee1

31442431713 has 32 divisors (see below), whose sum is σ = 55018890240. Its totient is φ = 15474058560.

The previous prime is 31442431703. The next prime is 31442431729. The reversal of 31442431713 is 31713424413.

It is not a de Polignac number, because 31442431713 - 29 = 31442431201 is a prime.

It is a super-2 number, since 2×314424317132 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31442431703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3577570 + ... + 3586347.

It is an arithmetic number, because the mean of its divisors is an integer number (1719340320).

Almost surely, 231442431713 is an apocalyptic number.

31442431713 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31442431713 is a deficient number, since it is larger than the sum of its proper divisors (23576458527).

31442431713 is a wasteful number, since it uses less digits than its factorization.

31442431713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7163957.

The product of its digits is 24192, while the sum is 33.

The spelling of 31442431713 in words is "thirty-one billion, four hundred forty-two million, four hundred thirty-one thousand, seven hundred thirteen".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 7163917 21491751 50147419 78803087 136114423 150442257 236409261 408343269 551621609 952800961 1497258653 1654864827 2858402883 4491775959 10480810571 31442431713