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20444134102431 = 3131015190183829
BaseRepresentation
bin1001010011000000001010…
…10110011101010110011111
32200101102212212010120112220
410221200011112131112133
510134424041312234211
6111251523333200423
74210016462425314
oct451400526352637
980342785116486
1020444134102431
1165723437a5856
122362263190113
13b53b48319b90
14509703a8cd0b
15256beb17a806
hex12980559d59f

20444134102431 has 16 divisors (see below), whose sum is σ = 29646330036960. Its totient is φ = 12456441187200.

The previous prime is 20444134102367. The next prime is 20444134102433. The reversal of 20444134102431 is 13420143144402.

It is a happy number.

It is not a de Polignac number, because 20444134102431 - 26 = 20444134102367 is a prime.

It is a super-2 number, since 2×204441341024312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20444134102392 and 20444134102401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444134102433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595087976 + ... + 2595095853.

It is an arithmetic number, because the mean of its divisors is an integer number (1852895627310).

Almost surely, 220444134102431 is an apocalyptic number.

20444134102431 is a deficient number, since it is larger than the sum of its proper divisors (9202195934529).

20444134102431 is a wasteful number, since it uses less digits than its factorization.

20444134102431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190183946.

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

Adding to 20444134102431 its reverse (13420143144402), we get a palindrome (33864277246833).

The spelling of 20444134102431 in words is "twenty trillion, four hundred forty-four billion, one hundred thirty-four million, one hundred two thousand, four hundred thirty-one".

Divisors: 1 3 13 39 101 303 1313 3939 5190183829 15570551487 67472389777 202417169331 524208566729 1572625700187 6814711367477 20444134102431