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10312885440 = 26335111317491
BaseRepresentation
bin10011001101011001…
…00010010011000000
3222121201111212021000
421212230202103000
5132110044313230
64423200532000
7513364036254
oct114654422300
928551455230
1010312885440
11441239a520
121bb9921000
13c8477a2a0
146db92c264
154055b4b60
hex266b224c0

10312885440 has 896 divisors, whose sum is σ = 45348387840. Its totient is φ = 2167603200.

The previous prime is 10312885439. The next prime is 10312885441. The reversal of 10312885440 is 4458821301.

10312885440 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 88 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10312885439) and next prime (10312885441).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10312885395 and 10312885404.

It is not an unprimeable number, because it can be changed into a prime (10312885441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21003595 + ... + 21004085.

It is an arithmetic number, because the mean of its divisors is an integer number (50612040).

Almost surely, 210312885440 is an apocalyptic number.

10312885440 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 10312885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22674193920).

10312885440 is an abundant number, since it is smaller than the sum of its proper divisors (35035502400).

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

10312885440 is a wasteful number, since it uses less digits than its factorization.

10312885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 10312885440 in words is "ten billion, three hundred twelve million, eight hundred eighty-five thousand, four hundred forty".