Search a number
-
+
300400050312324 = 22328344445842009
BaseRepresentation
bin100010001001101100101011…
…0010010100001010010000100
31110101121222001000012002101100
41010103121112102201102010
5303333223300334443244
62542521513350500100
7120163121200146204
oct10423312622412204
91411558030162340
10300400050312324
1187797a44a96256
1229837661064630
13cb807ac2aa761
145427623574404
1524ae164894b69
hex11136564a1484

300400050312324 has 18 divisors (see below), whose sum is σ = 759344571622910. Its totient is φ = 100133350104096.

The previous prime is 300400050312293. The next prime is 300400050312389. The reversal of 300400050312324 is 423213050004003.

300400050312324 is a `hidden beast` number, since 30 + 0 + 4 + 0 + 0 + 0 + 503 + 123 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 243124185153600 + 57275865158724 = 15592440^2 + 7568082^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4172222920969 + ... + 4172222921040.

Almost surely, 2300400050312324 is an apocalyptic number.

It is an amenable number.

300400050312324 is an abundant number, since it is smaller than the sum of its proper divisors (458944521310586).

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

300400050312324 is a wasteful number, since it uses less digits than its factorization.

300400050312324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344445842019 (or 8344445842014 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 300400050312324 in words is "three hundred trillion, four hundred billion, fifty million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8344445842009 16688891684018 25033337526027 33377783368036 50066675052054 75100012578081 100133350104108 150200025156162 300400050312324