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20444043141 = 3317276716097
BaseRepresentation
bin10011000010100011…
…110101011110000101
31221202210001222221000
4103002203311132011
5313332133340031
613220350443513
71322423333214
oct230243653605
957683058830
1020444043141
118741147225
123b66803599
131c0a69a162
14dbd27307b
157e9c2e3e6
hex4c28f5785

20444043141 has 32 divisors (see below), whose sum is σ = 32082670080. Its totient is φ = 12822202368.

The previous prime is 20444043119. The next prime is 20444043167. The reversal of 20444043141 is 14134044402.

20444043141 is a `hidden beast` number, since 204 + 440 + 4 + 3 + 14 + 1 = 666.

It is not a de Polignac number, because 20444043141 - 29 = 20444042629 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444043041) 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, 1262005 + ... + 1278101.

It is an arithmetic number, because the mean of its divisors is an integer number (1002583440).

Almost surely, 220444043141 is an apocalyptic number.

It is an amenable number.

20444043141 is a deficient number, since it is larger than the sum of its proper divisors (11638626939).

20444043141 is a wasteful number, since it uses less digits than its factorization.

20444043141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18890 (or 18884 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20444043141 its reverse (14134044402), we get a palindrome (34578087543).

The spelling of 20444043141 in words is "twenty billion, four hundred forty-four million, forty-three thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 2767 8301 16097 24903 47039 48291 74709 141117 144873 273649 423351 434619 820947 1270053 2462841 7388523 44540399 133621197 400863591 757186783 1202590773 2271560349 6814681047 20444043141