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13940519040 = 273357115249
BaseRepresentation
bin11001111101110101…
…10111000010000000
31022222112112202001000
430332322313002000
5212022233102130
610223145412000
71002313312440
oct147672670200
938875482030
1013940519040
115a04072318
12285079a000
1314121b4246
14963632120
15568cd4260
hex33eeb7080

13940519040 has 256 divisors, whose sum is σ = 56426400000. Its totient is φ = 3186376704.

The previous prime is 13940519023. The next prime is 13940519059. The reversal of 13940519040 is 4091504931.

It is a happy number.

13940519040 is a `hidden beast` number, since 13 + 94 + 0 + 519 + 0 + 40 = 666.

13940519040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139405190402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13940518986 and 13940519004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63336 + ... + 178584.

It is an arithmetic number, because the mean of its divisors is an integer number (220415625).

Almost surely, 213940519040 is an apocalyptic number.

13940519040 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 13940519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28213200000).

13940519040 is an abundant number, since it is smaller than the sum of its proper divisors (42485880960).

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

13940519040 is a wasteful number, since it uses less digits than its factorization.

13940519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115284 (or 115266 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13940519040 in words is "thirteen billion, nine hundred forty million, five hundred nineteen thousand, forty".