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3130232422240 = 2557112167138311
BaseRepresentation
bin101101100011010000011…
…001000011111101100000
3102002020200021112210110001
4231203100121003331200
5402241204000002430
610354001532145344
7442103035403230
oct55432031037540
912066607483401
103130232422240
11aa7584663100
124267b0608254
13199244901391
14ab70b1c3cc0
1556657bb83ca
hex2d8d0643f60

3130232422240 has 288 divisors, whose sum is σ = 9345500623872. Its totient is φ = 969807590400.

The previous prime is 3130232422193. The next prime is 3130232422259. The reversal of 3130232422240 is 422242320313.

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 = 3130232422199 and 3130232422208.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22562685 + ... + 22700995.

It is an arithmetic number, because the mean of its divisors is an integer number (32449654944).

Almost surely, 23130232422240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130232422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672750311936).

3130232422240 is an abundant number, since it is smaller than the sum of its proper divisors (6215268201632).

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

3130232422240 is a wasteful number, since it uses less digits than its factorization.

3130232422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138522 (or 138503 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3130232422240 its reverse (422242320313), we get a palindrome (3552474742553).

The spelling of 3130232422240 in words is "three trillion, one hundred thirty billion, two hundred thirty-two million, four hundred twenty-two thousand, two hundred forty".