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4044440544 = 253316122279
BaseRepresentation
bin1111000100010001…
…0100001111100000
3101102212022212102020
43301010110033200
531240334044134
61505154221440
7202140114564
oct36104241740
911385285366
104044440544
111795a88051
1294a584880
134c5bb14b1
142a52016a4
1518a102b49
hexf11143e0

4044440544 has 96 divisors (see below), whose sum is σ = 11139287040. Its totient is φ = 1283212800.

The previous prime is 4044440503. The next prime is 4044440591. The reversal of 4044440544 is 4450444404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 170397 + ... + 192675.

It is an arithmetic number, because the mean of its divisors is an integer number (116034240).

Almost surely, 24044440544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044440544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5569643520).

4044440544 is an abundant number, since it is smaller than the sum of its proper divisors (7094846496).

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

4044440544 is a wasteful number, since it uses less digits than its factorization.

4044440544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22384 (or 22376 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 33.

The square root of 4044440544 is about 63595.9160952966. The cubic root of 4044440544 is about 1593.2581613238.

Adding to 4044440544 its reverse (4450444404), we get a palindrome (8494884948).

The spelling of 4044440544 in words is "four billion, forty-four million, four hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 976 992 1464 1488 1891 1952 2928 2976 3782 5673 5856 7564 11346 15128 22279 22692 30256 44558 45384 60512 66837 89116 90768 133674 178232 181536 267348 356464 534696 690649 712928 1069392 1359019 1381298 2071947 2138784 2718038 2762596 4077057 4143894 5436076 5525192 8154114 8287788 10872152 11050384 16308228 16575576 21744304 22100768 32616456 33151152 42129589 43488608 65232912 66302304 84259178 126388767 130465824 168518356 252777534 337036712 505555068 674073424 1011110136 1348146848 2022220272 4044440544