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20144144441 = 1723315331357
BaseRepresentation
bin10010110000101011…
…110100000000111001
31220222212202120020202
4102300223310000321
5312223400110231
613130514531545
71312122255041
oct226053640071
956885676222
1020144144441
1185a7931963
123aa2296bb5
131b905064c5
14d914c8721
157cd7405cb
hex4b0af4039

20144144441 has 32 divisors (see below), whose sum is σ = 23408621568. Its totient is φ = 17218206720.

The previous prime is 20144144431. The next prime is 20144144467. The reversal of 20144144441 is 14444144102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20144144441 - 234 = 2964275257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20144144431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626735 + ... + 658091.

It is an arithmetic number, because the mean of its divisors is an integer number (731519424).

Almost surely, 220144144441 is an apocalyptic number.

It is an amenable number.

20144144441 is a deficient number, since it is larger than the sum of its proper divisors (3264477127).

20144144441 is a wasteful number, since it uses less digits than its factorization.

20144144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31481.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 20144144441 its reverse (14444144102), we get a palindrome (34588288543).

The spelling of 20144144441 in words is "twenty billion, one hundred forty-four million, one hundred forty-four thousand, four hundred forty-one".

Divisors: 1 17 23 31 53 391 527 713 901 1219 1643 12121 20723 27931 31357 37789 533069 642413 721211 972067 1661921 12260587 16525139 22357541 28252657 38224183 51519551 380078197 649811111 875832367 1184949673 20144144441