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54444020040 = 23325151233389
BaseRepresentation
bin110010101101000111…
…011101000101001000
312012112022000210001200
4302231013131011020
51343000132120130
641002232144200
73635113351254
oct625507350510
9165468023050
1054444020040
11210a9259093
12a675238060
135198676297
1428c6a27264
151639ac6760
hexcad1dd148

54444020040 has 48 divisors (see below), whose sum is σ = 176943066300. Its totient is φ = 14518405248.

The previous prime is 54444020039. The next prime is 54444020047. The reversal of 54444020040 is 4002044445.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48084595524 + 6359424516 = 219282^2 + 79746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54444019986 and 54444020013.

It is not an unprimeable number, because it can be changed into a prime (54444020047) 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 11 ways as a sum of consecutive naturals, for example, 75616335 + ... + 75617054.

Almost surely, 254444020040 is an apocalyptic number.

It is an amenable number.

54444020040 is an abundant number, since it is smaller than the sum of its proper divisors (122499046260).

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

54444020040 is a wasteful number, since it uses less digits than its factorization.

54444020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151233406 (or 151233399 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 54444020040 its reverse (4002044445), we get a palindrome (58446064485).

The spelling of 54444020040 in words is "fifty-four billion, four hundred forty-four million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 151233389 302466778 453700167 604933556 756166945 907400334 1209867112 1361100501 1512333890 1814800668 2268500835 2722201002 3024667780 3629601336 4537001670 5444402004 6049335560 6805502505 9074003340 10888804008 13611005010 18148006680 27222010020 54444020040