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14074878384 = 243372838011
BaseRepresentation
bin11010001101110110…
…11001100110110000
31100022220100220102000
431012323121212300
5212311132102014
610244345254000
71005534330600
oct150673314660
940286326360
1014074878384
115a729a14a6
122889794300
131433c98008
14977408c00
155759c4509
hex346ed99b0

14074878384 has 240 divisors, whose sum is σ = 47568205440. Its totient is φ = 3972447360.

The previous prime is 14074878347. The next prime is 14074878409. The reversal of 14074878384 is 48387847041.

14074878384 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 487 + 83 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14074878384.

It is a congruent number.

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, 1752939 + ... + 1760949.

It is an arithmetic number, because the mean of its divisors is an integer number (198200856).

Almost surely, 214074878384 is an apocalyptic number.

14074878384 is a gapful number since it is divisible by the number (14) 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 14074878384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784102720).

14074878384 is an abundant number, since it is smaller than the sum of its proper divisors (33493327056).

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

14074878384 is a wasteful number, since it uses less digits than its factorization.

14074878384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 14074878384 in words is "fourteen billion, seventy-four million, eight hundred seventy-eight thousand, three hundred eighty-four".