Search a number
-
+
31424404401 = 3213268584653
BaseRepresentation
bin11101010001000010…
…100101101110110001
310000010000120010212200
4131101002211232301
51003324121420101
622234114013413
72161504013235
oct352102455661
9100100503780
1031424404401
1112366291155
12610bb77269
132c6a509940
1417416b05c5
15c3dbde986
hex7510a5bb1

31424404401 has 12 divisors (see below), whose sum is σ = 48882407028. Its totient is φ = 19338094944.

The previous prime is 31424404393. The next prime is 31424404463. The reversal of 31424404401 is 10440442413.

31424404401 is a `hidden beast` number, since 3 + 14 + 244 + 0 + 4 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8267173776 + 23157230625 = 90924^2 + 152175^2 .

It is not a de Polignac number, because 31424404401 - 23 = 31424404393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31424404471) 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, 134292210 + ... + 134292443.

It is an arithmetic number, because the mean of its divisors is an integer number (4073533919).

Almost surely, 231424404401 is an apocalyptic number.

It is an amenable number.

31424404401 is a deficient number, since it is larger than the sum of its proper divisors (17458002627).

31424404401 is a wasteful number, since it uses less digits than its factorization.

31424404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268584672 (or 268584669 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31424404401 its reverse (10440442413), we get a palindrome (41864846814).

The spelling of 31424404401 in words is "thirty-one billion, four hundred twenty-four million, four hundred four thousand, four hundred one".

Divisors: 1 3 9 13 39 117 268584653 805753959 2417261877 3491600489 10474801467 31424404401