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2142141424304 = 24752136710677
BaseRepresentation
bin11111001011000001100…
…101000010001010110000
321120210020112000100121112
4133023001211002022300
5240044101201034204
64320030341012452
7310523155450640
oct37130145021260
97523215010545
102142141424304
11756527a96782
122a71b29b4128
1312700698912b
147597466c520
153aac6bea26e
hex1f2c19422b0

2142141424304 has 40 divisors (see below), whose sum is σ = 4752417531168. Its totient is φ = 916298472960.

The previous prime is 2142141424279. The next prime is 2142141424337. The reversal of 2142141424304 is 4034241412412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18296987 + ... + 18413690.

Almost surely, 22142141424304 is an apocalyptic number.

It is an amenable number.

2142141424304 is an abundant number, since it is smaller than the sum of its proper divisors (2610276106864).

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

2142141424304 is a wasteful number, since it uses less digits than its factorization.

2142141424304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36711213 (or 36711207 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 2142141424304 its reverse (4034241412412), we get a palindrome (6176382836716).

The spelling of 2142141424304 in words is "two trillion, one hundred forty-two billion, one hundred forty-one million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 521 1042 2084 3647 4168 7294 8336 14588 29176 58352 36710677 73421354 146842708 256974739 293685416 513949478 587370832 1027898956 2055797912 4111595824 19126262717 38252525434 76505050868 133883839019 153010101736 267767678038 306020203472 535535356076 1071070712152 2142141424304