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13714920000 = 2635541783
BaseRepresentation
bin11001100010111100…
…10001001001000000
31022101211001010100000
430301132101021000
5211042004420000
610144530200000
7663603616335
oct146136211100
938354033300
1013714920000
1158a8795431
1227a9123000
1313a75361a2
149416a898c
155540c0000
hex331791240

13714920000 has 840 divisors, whose sum is σ = 54589350816. Its totient is φ = 3400704000.

The previous prime is 13714919993. The next prime is 13714920001. The reversal of 13714920000 is 2941731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13714920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 165239959 + ... + 165240041.

Almost surely, 213714920000 is an apocalyptic number.

13714920000 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 13714920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27294675408).

13714920000 is an abundant number, since it is smaller than the sum of its proper divisors (40874430816).

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

13714920000 is an frugal number, since it uses more digits than its factorization.

13714920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13714920000 in words is "thirteen billion, seven hundred fourteen million, nine hundred twenty thousand".