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20244142104431 = 7236715769117299
BaseRepresentation
bin1001001101001011101001…
…11001100001111101101111
32122200022200001220102201212
410212211310321201331233
510123140000334320211
6111020010330425035
74156406466456620
oct446456471417557
978608601812655
1020244142104431
1164a55464aa683
12232b54a29217b
13b3b02587001b
144ddb70a91a47
152518e378738b
hex126974e61f6f

20244142104431 has 64 divisors (see below), whose sum is σ = 24695591116800. Its totient is φ = 16221366944640.

The previous prime is 20244142104421. The next prime is 20244142104457. The reversal of 20244142104431 is 13440124144202.

It is not a de Polignac number, because 20244142104431 - 226 = 20244074995567 is a prime.

It is a super-2 number, since 2×202441421044312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20244142104421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1170240620 + ... + 1170257918.

It is an arithmetic number, because the mean of its divisors is an integer number (385868611200).

Almost surely, 220244142104431 is an apocalyptic number.

20244142104431 is a deficient number, since it is larger than the sum of its proper divisors (4451449012369).

20244142104431 is a wasteful number, since it uses less digits than its factorization.

20244142104431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18244.

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

Adding to 20244142104431 its reverse (13440124144202), we get a palindrome (33684266248633).

The spelling of 20244142104431 in words is "twenty trillion, two hundred forty-four billion, one hundred forty-two million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 7 23 67 157 161 469 691 1099 1541 3611 4837 10519 10787 15893 17299 25277 46297 73633 108487 111251 121093 241937 324079 397877 759409 1064831 1159033 1693559 2495201 2715943 2785139 7268629 7453817 8113231 11953609 17466407 19011601 26657759 50880403 62466689 83675263 167178467 181968181 186604313 274933007 437266823 800891803 1170249269 1273777267 1876716613 1924531049 4185268163 5606242621 13137016291 18420511469 29296877141 43164482099 125740013071 128943580283 302151374693 880180091497 2892020300633 20244142104431