Search a number
-
+
11431141624 = 237316584759
BaseRepresentation
bin10101010010101100…
…10110000011111000
31002111122201011100201
422221112112003320
5141402333012444
65130145011544
7553163046340
oct125126260370
932448634321
1011431141624
114936643991
122270323bb4
131102350736
147a625dd20
1546d854dd4
hex2a95960f8

11431141624 has 32 divisors (see below), whose sum is σ = 25285478400. Its totient is φ = 4741025760.

The previous prime is 11431141607. The next prime is 11431141651. The reversal of 11431141624 is 42614113411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11431141592 and 11431141601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3290644 + ... + 3294115.

It is an arithmetic number, because the mean of its divisors is an integer number (790171200).

Almost surely, 211431141624 is an apocalyptic number.

11431141624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11431141624 is an abundant number, since it is smaller than the sum of its proper divisors (13854336776).

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

11431141624 is a wasteful number, since it uses less digits than its factorization.

11431141624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6584803 (or 6584799 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The spelling of 11431141624 in words is "eleven billion, four hundred thirty-one million, one hundred forty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 6584759 13169518 26339036 46093313 52678072 92186626 184373252 204127529 368746504 408255058 816510116 1428892703 1633020232 2857785406 5715570812 11431141624