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14316809472 = 283271922459
BaseRepresentation
bin11010101010101100…
…10010110100000000
31100221202121021110200
431111112102310000
5213310100400342
610324350525200
71014532605210
oct152526226400
940852537420
1014316809472
116087513949
122936806800
131472143ac4
1499b5c4240
1558bd6294c
hex355592d00

14316809472 has 324 divisors, whose sum is σ = 49809745440. Its totient is φ = 3873650688.

The previous prime is 14316809461. The next prime is 14316809473. The reversal of 14316809472 is 27490861341.

14316809472 is a `hidden beast` number, since 1 + 431 + 68 + 0 + 94 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14316809473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5820979 + ... + 5823437.

Almost surely, 214316809472 is an apocalyptic number.

14316809472 is a gapful number since it is divisible by the number (12) 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 14316809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904872720).

14316809472 is an abundant number, since it is smaller than the sum of its proper divisors (35492935968).

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

14316809472 is a wasteful number, since it uses less digits than its factorization.

14316809472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14316809472 in words is "fourteen billion, three hundred sixteen million, eight hundred nine thousand, four hundred seventy-two".