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14254042482504 = 23331141157193139
BaseRepresentation
bin1100111101101100011100…
…1000111000011101001000
31212110200011201200012101000
43033123013020320131020
53332014234333420004
650152114451055000
73000551314001436
oct317330710703510
955420151605330
1014254042482504
1145a6118419870
121722641ba1460
137c51c568a006
14373c83ad1d56
1519aba8a7ec39
hexcf6c7238748

14254042482504 has 256 divisors, whose sum is σ = 44276222592000. Its totient is φ = 4211327808000.

The previous prime is 14254042482487. The next prime is 14254042482557. The reversal of 14254042482504 is 40528424045241.

14254042482504 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 40 + 4 + 24 + 82 + 504 = 666.

14254042482504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142540424825042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14254042482504.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152993967 + ... + 153087105.

It is an arithmetic number, because the mean of its divisors is an integer number (172953994500).

Almost surely, 214254042482504 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 14254042482504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22138111296000).

14254042482504 is an abundant number, since it is smaller than the sum of its proper divisors (30022180109496).

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

14254042482504 is a wasteful number, since it uses less digits than its factorization.

14254042482504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94777 (or 94767 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 45.

The spelling of 14254042482504 in words is "fourteen trillion, two hundred fifty-four billion, forty-two million, four hundred eighty-two thousand, five hundred four".