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13940559000 = 2333532112447
BaseRepresentation
bin11001111101110110…
…00000110010011000
31022222112121202212000
430332323000302120
5212022240342000
610223150321000
71002313540104
oct147673006230
938875552760
1013940559000
115a0409a345
1228507b9160
1314121c94a4
14963642904
15568ce1000
hex33eec0c98

13940559000 has 256 divisors, whose sum is σ = 48576153600. Its totient is φ = 3698352000.

The previous prime is 13940558993. The next prime is 13940559007. The reversal of 13940559000 is 95504931.

13940559000 is a `hidden beast` number, since 13 + 94 + 0 + 559 + 0 + 0 + 0 = 666.

13940559000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13940558993) and next prime (13940559007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13940559007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5695777 + ... + 5698223.

It is an arithmetic number, because the mean of its divisors is an integer number (189750600).

Almost surely, 213940559000 is an apocalyptic number.

13940559000 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 13940559000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24288076800).

13940559000 is an abundant number, since it is smaller than the sum of its proper divisors (34635594600).

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

13940559000 is a wasteful number, since it uses less digits than its factorization.

13940559000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 13940559000 in words is "thirteen billion, nine hundred forty million, five hundred fifty-nine thousand".