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10304131040 = 255773193653
BaseRepresentation
bin10011001100010110…
…01000111111100000
3222121010001002110222
421212023020333200
5132100324143130
64422245142212
7513226445240
oct114613107740
928533032428
1010304131040
114408460185
121bb69ba968
13c82a03678
146da6cdb20
15404935ce5
hex2662c8fe0

10304131040 has 192 divisors, whose sum is σ = 28391803776. Its totient is φ = 3461087232.

The previous prime is 10304131039. The next prime is 10304131049. The reversal of 10304131040 is 4013140301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304131049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15779354 + ... + 15780006.

It is an arithmetic number, because the mean of its divisors is an integer number (147873978).

Almost surely, 210304131040 is an apocalyptic number.

10304131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195901888).

10304131040 is an abundant number, since it is smaller than the sum of its proper divisors (18087672736).

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

10304131040 is a wasteful number, since it uses less digits than its factorization.

10304131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10304131040 its reverse (4013140301), we get a palindrome (14317271341).

The spelling of 10304131040 in words is "ten billion, three hundred four million, one hundred thirty-one thousand, forty".