Search a number
-
+
54000402444 = 2232103110691361
BaseRepresentation
bin110010010010101011…
…001100000000001100
312011101101021200010100
4302102223030000030
51341043100334234
640450224011100
73621115563432
oct622253140014
9164341250110
1054000402444
11209a090167a
12a570760a90
1351277a2671
142883b4ad52
151610b99399
hexc92acc00c

54000402444 has 72 divisors (see below), whose sum is σ = 136861714080. Its totient is φ = 17952652800.

The previous prime is 54000402427. The next prime is 54000402509. The reversal of 54000402444 is 44420400045.

It is a happy number.

It is a super-2 number, since 2×540004024442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39676324 + ... + 39677684.

It is an arithmetic number, because the mean of its divisors is an integer number (1900857140).

Almost surely, 254000402444 is an apocalyptic number.

It is an amenable number.

54000402444 is an abundant number, since it is smaller than the sum of its proper divisors (82861311636).

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

54000402444 is a wasteful number, since it uses less digits than its factorization.

54000402444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3466 counting only the distinct ones).

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

Adding to 54000402444 its reverse (44420400045), we get a palindrome (98420802489).

The spelling of 54000402444 in words is "fifty-four billion, four hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1031 1069 1361 2062 2138 2722 3093 3207 4083 4124 4276 5444 6186 6414 8166 9279 9621 12249 12372 12828 16332 18558 19242 24498 37116 38484 48996 1102139 1403191 1454909 2204278 2806382 2909818 3306417 4209573 4364727 4408556 5612764 5819636 6612834 8419146 8729454 9919251 12628719 13094181 13225668 16838292 17458908 19838502 25257438 26188362 39677004 50514876 52376724 1500011179 3000022358 4500033537 6000044716 9000067074 13500100611 18000134148 27000201222 54000402444