Search a number
-
+
544224422445 = 351119389446263
BaseRepresentation
bin1111110101101100100…
…11011010101000101101
31221000201221021010220120
413322312103122220231
532404032423004240
61054002510035153
754214250156514
oct7726623325055
91830657233816
10544224422445
1119a893553660
12895837a8ab9
133c42147a392
141c4aa88367b
15e253420ad0
hex7eb64daa2d

544224422445 has 64 divisors (see below), whose sum is σ = 1002487449600. Its totient is φ = 249335504640.

The previous prime is 544224422429. The next prime is 544224422447.

544224422445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 544224422445 - 24 = 544224422429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544224422397 and 544224422406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544224422447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996384 + ... + 1442646.

It is an arithmetic number, because the mean of its divisors is an integer number (15663866400).

Almost surely, 2544224422445 is an apocalyptic number.

544224422445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

544224422445 is a deficient number, since it is larger than the sum of its proper divisors (458263027155).

544224422445 is a wasteful number, since it uses less digits than its factorization.

544224422445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446690.

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 544224 and 422445, that added together give a palindrome (966669).

The spelling of 544224422445 in words is "five hundred forty-four billion, two hundred twenty-four million, four hundred twenty-two thousand, four hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 95 165 209 285 389 627 1045 1167 1945 3135 4279 5835 7391 12837 21395 22173 36955 64185 81301 110865 243903 406505 446263 1219515 1338789 2231315 4908893 6693945 8478997 14726679 24544465 25436991 42394985 73633395 93268967 127184955 173596307 279806901 466344835 520788921 867981535 1399034505 1909559377 2603944605 3298329833 5728678131 9547796885 9894989499 16491649165 28643390655 36281628163 49474947495 108844884489 181408140815 544224422445