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214842924144 = 24321491964751
BaseRepresentation
bin1100100000010110100…
…0101101110001110000
3202112112202212100121200
43020011220231301300
512004444242033034
6242410353251200
721344002503222
oct3100550556160
9675482770550
10214842924144
1183129258862
123577a563b00
131734b45c724
14a5814d8412
1558c65aca99
hex3205a2dc70

214842924144 has 30 divisors (see below), whose sum is σ = 601261795056. Its totient is φ = 71614308000.

The previous prime is 214842924133. The next prime is 214842924217. The reversal of 214842924144 is 441429248412.

It is a happy number.

214842924144 is a `hidden beast` number, since 2 + 1 + 484 + 2 + 9 + 24 + 144 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 214842924144.

It is a congruent number.

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, 745982232 + ... + 745982519.

Almost surely, 2214842924144 is an apocalyptic number.

214842924144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214842924144 is an abundant number, since it is smaller than the sum of its proper divisors (386418870912).

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

214842924144 is a wasteful number, since it uses less digits than its factorization.

214842924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491964765 (or 1491964756 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 214842924144 in words is "two hundred fourteen billion, eight hundred forty-two million, nine hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1491964751 2983929502 4475894253 5967859004 8951788506 11935718008 13427682759 17903577012 23871436016 26855365518 35807154024 53710731036 71614308048 107421462072 214842924144