Search a number
-
+
20043514314 = 2351929389
BaseRepresentation
bin10010101010101011…
…111100000111001010
31220201212102000200000
4102222223330013022
5312022114424224
613112522023430
71306461026535
oct225253740712
956655360600
1020043514314
11855604aa6a
123a74647b76
131b75701c55
14d81db1a1c
157c49b40c9
hex4aaafc1ca

20043514314 has 192 divisors, whose sum is σ = 49651056000. Its totient is φ = 6042605184.

The previous prime is 20043514313. The next prime is 20043514321. The reversal of 20043514314 is 41341534002.

It is a happy number.

20043514314 is a `hidden beast` number, since 200 + 435 + 14 + 3 + 14 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20043514313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225207982 + ... + 225208070.

It is an arithmetic number, because the mean of its divisors is an integer number (258599250).

Almost surely, 220043514314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20043514314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24825528000).

20043514314 is an abundant number, since it is smaller than the sum of its proper divisors (29607541686).

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

20043514314 is an frugal number, since it uses more digits than its factorization.

20043514314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 20043514314 in words is "twenty billion, forty-three million, five hundred fourteen thousand, three hundred fourteen".