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14232633240 = 23357171952457
BaseRepresentation
bin11010100000101010…
…01011111110011000
31100201220012200101110
431100111023332120
5213122023230430
610312142420320
71012461246360
oct152025137630
940656180343
1014232633240
116043a50011
1229125916a0
13145a880897
149903519a0
155847867b0
hex35054bf98

14232633240 has 256 divisors, whose sum is σ = 54388454400. Its totient is φ = 2900606976.

The previous prime is 14232633229. The next prime is 14232633271. The reversal of 14232633240 is 4233623241.

14232633240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14232633198 and 14232633207.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 245092 + ... + 297548.

It is an arithmetic number, because the mean of its divisors is an integer number (212454900).

Almost surely, 214232633240 is an apocalyptic number.

14232633240 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 14232633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27194227200).

14232633240 is an abundant number, since it is smaller than the sum of its proper divisors (40155821160).

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

14232633240 is a wasteful number, since it uses less digits than its factorization.

14232633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52514 (or 52510 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Subtracting from 14232633240 its reverse (4233623241), we obtain a palindrome (9999009999).

The spelling of 14232633240 in words is "fourteen billion, two hundred thirty-two million, six hundred thirty-three thousand, two hundred forty".