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10316305440 = 2532574323801
BaseRepresentation
bin10011001101110011…
…00101010000100000
3222121221221121121200
421212321211100200
5132111433233230
64423402121200
7513435102150
oct114671452040
928557847550
1010316305440
114414315a71
121bbaab0200
13c853a6b5c
146dc17c760
15405a3d160
hex266e65420

10316305440 has 288 divisors, whose sum is σ = 41170985856. Its totient is φ = 2303078400.

The previous prime is 10316305429. The next prime is 10316305451. The reversal of 10316305440 is 4450361301.

10316305440 is a `hidden beast` number, since 1 + 0 + 316 + 305 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10316305429) and next prime (10316305451).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421540 + ... + 445340.

It is an arithmetic number, because the mean of its divisors is an integer number (142954812).

Almost surely, 210316305440 is an apocalyptic number.

10316305440 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 10316305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585492928).

10316305440 is an abundant number, since it is smaller than the sum of its proper divisors (30854680416).

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

10316305440 is a wasteful number, since it uses less digits than its factorization.

10316305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23872 (or 23861 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10316305440 its reverse (4450361301), we get a palindrome (14766666741).

The spelling of 10316305440 in words is "ten billion, three hundred sixteen million, three hundred five thousand, four hundred forty".