Search a number
-
+
14012955936 = 253471993881
BaseRepresentation
bin11010000110011110…
…01011110100100000
31100011120211220210000
431003033023310200
5212144304042221
610234254140000
71004153105640
oct150317136440
940146756700
1014012955936
115a40a48221
122870ab1600
1314241c7005
1496d0ca520
15570341e26
hex3433cbd20

14012955936 has 240 divisors, whose sum is σ = 47347977600. Its totient is φ = 3982556160.

The previous prime is 14012955923. The next prime is 14012955941. The reversal of 14012955936 is 63955921041.

14012955936 is a `hidden beast` number, since 1 + 40 + 1 + 29 + 559 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14012955891 and 14012955900.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3608716 + ... + 3612596.

It is an arithmetic number, because the mean of its divisors is an integer number (197283240).

Almost surely, 214012955936 is an apocalyptic number.

14012955936 is a gapful number since it is divisible by the number (16) 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 14012955936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23673988800).

14012955936 is an abundant number, since it is smaller than the sum of its proper divisors (33335021664).

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

14012955936 is a wasteful number, since it uses less digits than its factorization.

14012955936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 14012955936 in words is "fourteen billion, twelve million, nine hundred fifty-five thousand, nine hundred thirty-six".