Search a number
-
+
299927214720 = 27345719411061
BaseRepresentation
bin1000101110101010000…
…11100001101010000000
31001200011102222011010000
410113111003201222000
514403222331332340
6345441253040000
730445322155350
oct4272503415200
91050142864100
10299927214720
11106220103681
124a165026000
132238aa263b3
14107335d6b60
157c060d2d30
hex45d50e1a80

299927214720 has 1280 divisors, whose sum is σ = 1321206163200. Its totient is φ = 63302860800.

The previous prime is 299927214647. The next prime is 299927214749. The reversal of 299927214720 is 27412729992.

299927214720 is a `hidden beast` number, since 299 + 9 + 272 + 14 + 72 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 282682990 + ... + 282684050.

It is an arithmetic number, because the mean of its divisors is an integer number (1032192315).

Almost surely, 2299927214720 is an apocalyptic number.

299927214720 is a gapful number since it is divisible by the number (20) 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 299927214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660603081600).

299927214720 is an abundant number, since it is smaller than the sum of its proper divisors (1021278948480).

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

299927214720 is a wasteful number, since it uses less digits than its factorization.

299927214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 299927214720 in words is "two hundred ninety-nine billion, nine hundred twenty-seven million, two hundred fourteen thousand, seven hundred twenty".