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20014102144 = 271091434497
BaseRepresentation
bin10010101000111011…
…101111011010000000
31220122211001201202101
4102220323233122000
5311442102232034
613105551400144
71305653030011
oct225073573200
956584051671
1020014102144
118540491193
123a66823054
131b6c5a46ba
14d7c117008
157c2104514
hex4a8eef680

20014102144 has 32 divisors (see below), whose sum is σ = 40237668900. Its totient is φ = 9915236352.

The previous prime is 20014102139. The next prime is 20014102183. The reversal of 20014102144 is 44120141002.

It can be written as a sum of positive squares in 2 ways, for example, as 19993960000 + 20142144 = 141400^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 703297 + ... + 731200.

Almost surely, 220014102144 is an apocalyptic number.

It is an amenable number.

20014102144 is an abundant number, since it is smaller than the sum of its proper divisors (20223566756).

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

20014102144 is a wasteful number, since it uses less digits than its factorization.

20014102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434620 (or 1434608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20014102144 its reverse (44120141002), we get a palindrome (64134243146).

The spelling of 20014102144 in words is "twenty billion, fourteen million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 13952 1434497 2868994 5737988 11475976 22951952 45903904 91807808 156360173 183615616 312720346 625440692 1250881384 2501762768 5003525536 10007051072 20014102144