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14140969920 = 2632571131731
BaseRepresentation
bin11010010101101111…
…00001001111000000
31100111111201200221200
431022313201033000
5212430042014140
610255110021200
71010266155360
oct151267411700
940444650850
1014140969920
115aa7233000
1228a7947800
13144489882c
149820d09a0
1557b6cc030
hex34ade13c0

14140969920 has 1344 divisors, whose sum is σ = 66826985472. Its totient is φ = 2676326400.

The previous prime is 14140969897. The next prime is 14140969933. The reversal of 14140969920 is 2996904141.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 456160305 + ... + 456160335.

Almost surely, 214140969920 is an apocalyptic number.

14140969920 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 14140969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413492736).

14140969920 is an abundant number, since it is smaller than the sum of its proper divisors (52686015552).

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

14140969920 is a wasteful number, since it uses less digits than its factorization.

14140969920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 14140969920 in words is "fourteen billion, one hundred forty million, nine hundred sixty-nine thousand, nine hundred twenty".