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20444114421 = 333728372313
BaseRepresentation
bin10011000010100100…
…000110110111110101
31221202210012121201000
4103002210012313311
5313332143130141
613220352153513
71322424051063
oct230244066765
957683177630
1020444114421
118741195835
123b66838899
131c0a6c3733
14dbd291033
157e9c455b6
hex4c2906df5

20444114421 has 32 divisors (see below), whose sum is σ = 31216507520. Its totient is φ = 13214005632.

The previous prime is 20444114381. The next prime is 20444114459. The reversal of 20444114421 is 12441144402.

It is a happy number.

20444114421 is a `hidden beast` number, since 204 + 4 + 4 + 11 + 442 + 1 = 666.

It is not a de Polignac number, because 20444114421 - 210 = 20444113397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444114491) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 246561 + ... + 318873.

It is an arithmetic number, because the mean of its divisors is an integer number (975515860).

Almost surely, 220444114421 is an apocalyptic number.

It is an amenable number.

20444114421 is a deficient number, since it is larger than the sum of its proper divisors (10772393099).

20444114421 is a wasteful number, since it uses less digits than its factorization.

20444114421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72642 (or 72636 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 20444114421 its reverse (12441144402), we get a palindrome (32885258823).

The spelling of 20444114421 in words is "twenty billion, four hundred forty-four million, one hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 9 27 37 111 283 333 849 999 2547 7641 10471 31413 72313 94239 216939 282717 650817 1952451 2675581 8026743 20464579 24080229 61393737 72240687 184181211 552543633 757189423 2271568269 6814704807 20444114421