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40313231304 = 233193741101577
BaseRepresentation
bin100101100010110110…
…110001011111001000
310212001111110100001220
4211202312301133020
51130030141400204
630304124242040
72624666545413
oct454266613710
9125044410056
1040313231304
111610784a395
1279909a0320
133a55c33928
141d46026b7a
1510ae25b1d9
hex962db17c8

40313231304 has 256 divisors, whose sum is σ = 112912531200. Its totient is φ = 11943936000.

The previous prime is 40313231303. The next prime is 40313231317.

40313231304 is nontrivially palindromic in base 10.

40313231304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40313231303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69866664 + ... + 69867240.

It is an arithmetic number, because the mean of its divisors is an integer number (441064575).

Almost surely, 240313231304 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 40313231304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56456265600).

40313231304 is an abundant number, since it is smaller than the sum of its proper divisors (72599299896).

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

40313231304 is a wasteful number, since it uses less digits than its factorization.

40313231304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 40313231304 in words is "forty billion, three hundred thirteen million, two hundred thirty-one thousand, three hundred four".