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10314212544 = 2633431271093
BaseRepresentation
bin10011001101100011…
…00110010011000000
3222121211000021201000
421212301212103000
5132110414300134
64423245212000
7513411234336
oct114661462300
928554007630
1010314212544
1144131165a9
121bba261000
13c84b2335c
146dbb95b56
15405777e99
hex266c664c0

10314212544 has 224 divisors, whose sum is σ = 31299952640. Its totient is φ = 3328625664.

The previous prime is 10314212533. The next prime is 10314212549. The reversal of 10314212544 is 44521241301.

10314212544 is a `hidden beast` number, since 103 + 1 + 4 + 2 + 12 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10314212549) 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, 9436062 + ... + 9437154.

Almost surely, 210314212544 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 10314212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649976320).

10314212544 is an abundant number, since it is smaller than the sum of its proper divisors (20985740096).

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

10314212544 is a wasteful number, since it uses less digits than its factorization.

10314212544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10314212544 its reverse (44521241301), we get a palindrome (54835453845).

The spelling of 10314212544 in words is "ten billion, three hundred fourteen million, two hundred twelve thousand, five hundred forty-four".