Search a number
-
+
444448844444 = 221123946499091
BaseRepresentation
bin1100111011110110011…
…01110010101010011100
31120111012101220121202202
412131323031302222130
524240212401010234
6540102121111032
744052566562533
oct6357315625234
91514171817682
10444448844444
11161542871090
1272179028478
1332bb02c6027
141772356131a
15b863c6677e
hex677b372a9c

444448844444 has 48 divisors (see below), whose sum is σ = 852320448000. Its totient is φ = 201111523200.

The previous prime is 444448844431. The next prime is 444448844503.

444448844444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 444448844444.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48884339 + ... + 48893429.

It is an arithmetic number, because the mean of its divisors is an integer number (17756676000).

Almost surely, 2444448844444 is an apocalyptic number.

444448844444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444448844444 is a deficient number, since it is larger than the sum of its proper divisors (407871603556).

444448844444 is a wasteful number, since it uses less digits than its factorization.

444448844444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994 (or 13992 counting only the distinct ones).

The product of its digits is 67108864, while the sum is 56.

It can be divided in two parts, 44444 and 8844444, that added together give a palindrome (8888888).

The spelling of 444448844444 in words is "four hundred forty-four billion, four hundred forty-eight million, eight hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 239 478 956 2629 4649 5258 9091 9298 10516 18182 18596 36364 51139 100001 102278 200002 204556 400004 1111111 2172749 2222222 4345498 4444444 8690996 12222221 23900239 24444442 42264059 47800478 48888884 84528118 95600956 169056236 464904649 929809298 1859618596 10101110101 20202220202 40404440404 111112211111 222224422222 444448844444