Search a number
-
+
20442434144 = 251158075097
BaseRepresentation
bin10011000010011101…
…101100101001100000
31221202200001020210112
4103002131230221200
5313331230343034
613220252150452
71322403552236
oct230235545140
957680036715
1020442434144
118740248380
123b66168428
131c0a2559a2
14dbcd74956
157e9a127ce
hex4c276ca60

20442434144 has 24 divisors (see below), whose sum is σ = 43904774088. Its totient is φ = 9292015360.

The previous prime is 20442434137. The next prime is 20442434147. The reversal of 20442434144 is 44143424402.

It is a super-2 number, since 2×204424341442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20442434144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20442434147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29037197 + ... + 29037900.

It is an arithmetic number, because the mean of its divisors is an integer number (1829365587).

Almost surely, 220442434144 is an apocalyptic number.

It is an amenable number.

20442434144 is an abundant number, since it is smaller than the sum of its proper divisors (23462339944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20442434144 is a wasteful number, since it uses less digits than its factorization.

20442434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58075118 (or 58075110 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 20442434144 its reverse (44143424402), we get a palindrome (64585858546).

The spelling of 20442434144 in words is "twenty billion, four hundred forty-two million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 58075097 116150194 232300388 464600776 638826067 929201552 1277652134 1858403104 2555304268 5110608536 10221217072 20442434144