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14012425440 = 25335132171129
BaseRepresentation
bin11010000110011010…
…01010010011100000
31100011112211222002000
431003031022103200
5212144140103230
610234234524000
71004145436206
oct150315122340
940145758060
1014012425440
115a407156a2
122870896600
13142406c700
1496cdcd076
15570289b60
hex34334a4e0

14012425440 has 576 divisors, whose sum is σ = 56279966400. Its totient is φ = 3243442176.

The previous prime is 14012425433. The next prime is 14012425459. The reversal of 14012425440 is 4452421041.

14012425440 is a `hidden beast` number, since 1 + 401 + 2 + 4 + 254 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12410796 + ... + 12411924.

It is an arithmetic number, because the mean of its divisors is an integer number (97708275).

Almost surely, 214012425440 is an apocalyptic number.

14012425440 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 14012425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28139983200).

14012425440 is an abundant number, since it is smaller than the sum of its proper divisors (42267540960).

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

14012425440 is a wasteful number, since it uses less digits than its factorization.

14012425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14012425440 its reverse (4452421041), we get a palindrome (18464846481).

The spelling of 14012425440 in words is "fourteen billion, twelve million, four hundred twenty-five thousand, four hundred forty".