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14134458240 = 2732571721213
BaseRepresentation
bin11010010100111101…
…01011011110000000
31100111001110212121100
431022132223132000
5212421410130430
610254314254400
71010156625030
oct151236533600
940431425540
1014134458240
115aa3595751
1228a5727400
131443428976
149812b78c0
1557ad42960
hex34a7ab780

14134458240 has 576 divisors, whose sum is σ = 59303705760. Its totient is φ = 3038183424.

The previous prime is 14134458227. The next prime is 14134458253. The reversal of 14134458240 is 4285443141.

14134458240 is a `hidden beast` number, since 1 + 4 + 1 + 34 + 4 + 582 + 40 = 666.

14134458240 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 (14134458227) and next prime (14134458253).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 14134458195 and 14134458204.

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 71 ways as a sum of consecutive naturals, for example, 11651874 + ... + 11653086.

Almost surely, 214134458240 is an apocalyptic number.

14134458240 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 14134458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29651852880).

14134458240 is an abundant number, since it is smaller than the sum of its proper divisors (45169247520).

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

14134458240 is a wasteful number, since it uses less digits than its factorization.

14134458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14134458240 in words is "fourteen billion, one hundred thirty-four million, four hundred fifty-eight thousand, two hundred forty".