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114313061376 = 21033171072273
BaseRepresentation
bin110101001110110010…
…1101110010000000000
3101221001200012012022000
41222131211232100000
53333103120431001
6124303101344000
711154532663263
oct1523545562000
9357050165260
10114313061376
1144530819a48
121a1a3268000
13aa19c40527
145765d4acda
152e90aaba86
hex1a9d96e400

114313061376 has 352 divisors, whose sum is σ = 361963313280. Its totient is φ = 35512123392.

The previous prime is 114313061371. The next prime is 114313061381. The reversal of 114313061376 is 673160313411.

114313061376 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 30 + 613 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114313061371) and next prime (114313061381).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114313061376.

It is not an unprimeable number, because it can be changed into a prime (114313061371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50290576 + ... + 50292848.

Almost surely, 2114313061376 is an apocalyptic number.

114313061376 is a gapful number since it is divisible by the number (16) 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 114313061376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180981656640).

114313061376 is an abundant number, since it is smaller than the sum of its proper divisors (247650251904).

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

114313061376 is a wasteful number, since it uses less digits than its factorization.

114313061376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 114313061376 its reverse (673160313411), we get a palindrome (787473374787).

The spelling of 114313061376 in words is "one hundred fourteen billion, three hundred thirteen million, sixty-one thousand, three hundred seventy-six".