Search a number
-
+
20114551314 = 23411133137757
BaseRepresentation
bin10010101110111010…
…111011001000010010
31220220211002002010000
4102232322323020102
5312143311120224
613123540350430
71311312602514
oct225672731022
956824062100
1020114551314
11859215a130
123a943a5416
131b87344790
14d8b5c3bb4
157cad470c9
hex4aeebb212

20114551314 has 320 divisors, whose sum is σ = 56210660352. Its totient is φ = 5290790400.

The previous prime is 20114551313. The next prime is 20114551321. The reversal of 20114551314 is 41315541102.

20114551314 is a `hidden beast` number, since 2 + 0 + 1 + 145 + 513 + 1 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20114551313) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26571024 + ... + 26571780.

Almost surely, 220114551314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20114551314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28105330176).

20114551314 is an abundant number, since it is smaller than the sum of its proper divisors (36096109038).

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

20114551314 is a wasteful number, since it uses less digits than its factorization.

20114551314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 20114551314 in words is "twenty billion, one hundred fourteen million, five hundred fifty-one thousand, three hundred fourteen".