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14154440040 = 233351317311913
BaseRepresentation
bin11010010111010101…
…11001110101101000
31100112110002001111000
431023222321311220
5212442014040130
610300310435000
71010521520016
oct151352716550
940473061430
1014154440040
1160038a3334
1228b0362a60
131447603a10
14983bd98b6
1557c98d260
hex34bab9d68

14154440040 has 512 divisors, whose sum is σ = 55564185600. Its totient is φ = 3171778560.

The previous prime is 14154440029. The next prime is 14154440087. The reversal of 14154440040 is 4004445141.

14154440040 is a `hidden beast` number, since 1 + 41 + 544 + 40 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14154439986 and 14154440013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7398124 + ... + 7400036.

It is an arithmetic number, because the mean of its divisors is an integer number (108523800).

Almost surely, 214154440040 is an apocalyptic number.

14154440040 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 14154440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27782092800).

14154440040 is an abundant number, since it is smaller than the sum of its proper divisors (41409745560).

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

14154440040 is a wasteful number, since it uses less digits than its factorization.

14154440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14154440040 its reverse (4004445141), we get a palindrome (18158885181).

The spelling of 14154440040 in words is "fourteen billion, one hundred fifty-four million, four hundred forty thousand, forty".