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20404434112431 = 3171006139766121
BaseRepresentation
bin1001010001110110001110…
…00011000000111110101111
32200020122102002121010101220
410220323013003000332233
510133301240113044211
6111221400112434423
74204112620165245
oct450730703007657
980218362533356
1020404434112431
116557521128766
122356623848a13
13b5018c469b35
14507819298795
15255b75ba5806
hex128ec70c0faf

20404434112431 has 16 divisors (see below), whose sum is σ = 28809123808608. Its totient is φ = 12801509350400.

The previous prime is 20404434112427. The next prime is 20404434112493. The reversal of 20404434112431 is 13421143440402.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20404434112431 - 22 = 20404434112427 is a prime.

It is a super-2 number, since 2×204044341124312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20404434112392 and 20404434112401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404434122431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19369950 + ... + 20396171.

It is an arithmetic number, because the mean of its divisors is an integer number (1800570238038).

Almost surely, 220404434112431 is an apocalyptic number.

20404434112431 is a deficient number, since it is larger than the sum of its proper divisors (8404689696177).

20404434112431 is a wasteful number, since it uses less digits than its factorization.

20404434112431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39776202.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 20404434112431 its reverse (13421143440402), we get a palindrome (33825577552833).

The spelling of 20404434112431 in words is "twenty trillion, four hundred four billion, four hundred thirty-four million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 17 51 10061 30183 171037 513111 39766121 119298363 676024057 2028072171 400086943381 1200260830143 6801478037477 20404434112431