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31171425444 = 22327311861273
BaseRepresentation
bin11101000001111101…
…100011010010100100
32222110101112110222200
4131001331203102210
51002314341103234
622153035454500
72152312513245
oct350175432244
988411473880
1031171425444
1112246503335
12605b2b7430
132c29c93353
141719c5accc
15c268bcd99
hex741f634a4

31171425444 has 36 divisors (see below), whose sum is σ = 79873819116. Its totient is φ = 10248139008.

The previous prime is 31171425421. The next prime is 31171425449. The reversal of 31171425444 is 44452417113.

31171425444 is a `hidden beast` number, since 3 + 1 + 1 + 71 + 42 + 544 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17273844900 + 13897580544 = 131430^2 + 117888^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31171425399 and 31171425408.

It is not an unprimeable number, because it can be changed into a prime (31171425449) 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 11 ways as a sum of consecutive naturals, for example, 5928009 + ... + 5933264.

Almost surely, 231171425444 is an apocalyptic number.

It is an amenable number.

31171425444 is an abundant number, since it is smaller than the sum of its proper divisors (48702393672).

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

31171425444 is a wasteful number, since it uses less digits than its factorization.

31171425444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861356 (or 11861351 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 31171425444 in words is "thirty-one billion, one hundred seventy-one million, four hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 11861273 23722546 35583819 47445092 71167638 106751457 142335276 213502914 427005828 865872929 1731745858 2597618787 3463491716 5195237574 7792856361 10390475148 15585712722 31171425444