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14955341940 = 22325731119261
BaseRepresentation
bin11011110110110100…
…00110100001110100
31102121021010002100100
431323122012201310
5221112031420230
610512000514100
71036415211000
oct157332064164
942537102310
1014955341940
11638499a830
122a9461b930
131544511276
14a1c31b700
155c7e42660
hex37b686874

14955341940 has 864 divisors, whose sum is σ = 61908537600. Its totient is φ = 2895782400.

The previous prime is 14955341923. The next prime is 14955341941. The reversal of 14955341940 is 4914355941.

14955341940 is a `hidden beast` number, since 1 + 4 + 9 + 553 + 4 + 1 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14955341941) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 245169510 + ... + 245169570.

It is an arithmetic number, because the mean of its divisors is an integer number (71653400).

Almost surely, 214955341940 is an apocalyptic number.

14955341940 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 14955341940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30954268800).

14955341940 is an abundant number, since it is smaller than the sum of its proper divisors (46953195660).

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

14955341940 is a wasteful number, since it uses less digits than its factorization.

14955341940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 1495 and 5341940, that added together give a palindrome (5343435).

The spelling of 14955341940 in words is "fourteen billion, nine hundred fifty-five million, three hundred forty-one thousand, nine hundred forty".