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14138403981156 = 2232713192329211743
BaseRepresentation
bin1100110110111101101010…
…0011000000011101100100
31212001121200200102200020200
43031233122203000131210
53323120422404344111
650023032040430500
72656315554650520
oct315573243003544
955047620380220
1014138403981156
114561077507194
12170414aa78430
137b7326c752a0
1436c433b20d80
15197b8b95a256
hexcdbda8c0764

14138403981156 has 864 divisors, whose sum is σ = 50042022051840. Its totient is φ = 3262173336576.

The previous prime is 14138403981101. The next prime is 14138403981217. The reversal of 14138403981156 is 65118930483141.

14138403981156 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 8 + 403 + 9 + 81 + 156 = 666.

14138403981156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1203979821 + ... + 1203991563.

Almost surely, 214138403981156 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 14138403981156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021011025920).

14138403981156 is an abundant number, since it is smaller than the sum of its proper divisors (35903618070684).

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

14138403981156 is a wasteful number, since it uses less digits than its factorization.

14138403981156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 14138403981156 in words is "fourteen trillion, one hundred thirty-eight billion, four hundred three million, nine hundred eighty-one thousand, one hundred fifty-six".