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14342686848 = 27347832381
BaseRepresentation
bin11010101101110010…
…00000100010000000
31101000120021222120000
431112321000202000
5213333211434343
610331113320000
71015265553360
oct152671004200
941016258500
1014342686848
1160a0088a06
122943406000
131477604469
149a0bdc9a0
1558e274ed3
hex356e40880

14342686848 has 320 divisors, whose sum is σ = 49389721920. Its totient is φ = 4046837760.

The previous prime is 14342686843. The next prime is 14342686867. The reversal of 14342686848 is 84868624341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14342686794 and 14342686803.

It is not an unprimeable number, because it can be changed into a prime (14342686843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6022618 + ... + 6024998.

It is an arithmetic number, because the mean of its divisors is an integer number (154342881).

Almost surely, 214342686848 is an apocalyptic number.

14342686848 is a gapful number since it is divisible by the number (18) 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 14342686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24694860960).

14342686848 is an abundant number, since it is smaller than the sum of its proper divisors (35047035072).

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

14342686848 is an equidigital number, since it uses as much as digits as its factorization.

14342686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2476 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 14342686848 in words is "fourteen billion, three hundred forty-two million, six hundred eighty-six thousand, eight hundred forty-eight".