Search a number
-
+
444331044102 = 231163118315827
BaseRepresentation
bin1100111011101000011…
…00011010110100000110
31120110220012020202002010
412131310030122310012
524234442221402402
6540042312155050
744046636362361
oct6356414326406
91513805222063
10444331044102
11161492321a30
1272145698a86
1332b91a8c39a
1417711a590d8
15b858747a6c
hex677431ad06

444331044102 has 64 divisors (see below), whose sum is σ = 971682951168. Its totient is φ = 134335908000.

The previous prime is 444331044067. The next prime is 444331044121. The reversal of 444331044102 is 201440133444.

It is a self number, because there is not a number n which added to its sum of digits gives 444331044102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76250913 + ... + 76256739.

It is an arithmetic number, because the mean of its divisors is an integer number (15182546112).

Almost surely, 2444331044102 is an apocalyptic number.

444331044102 is an abundant number, since it is smaller than the sum of its proper divisors (527351907066).

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

444331044102 is a wasteful number, since it uses less digits than its factorization.

444331044102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8305.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 444331044102 its reverse (201440133444), we get a palindrome (645771177546).

The spelling of 444331044102 in words is "four hundred forty-four billion, three hundred thirty-one million, forty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 631 1262 1831 1893 3662 3786 5493 5827 6941 10986 11654 13882 17481 20141 20823 34962 40282 41646 60423 64097 120846 128194 192291 384582 1155361 2310722 3466083 3676837 6932166 7353674 10669237 11030511 12708971 21338474 22061022 25417942 32007711 38126913 40445207 64015422 76253826 80890414 117361607 121335621 234723214 242671242 352084821 704169642 6732288547 13464577094 20196865641 40393731282 74055174017 148110348034 222165522051 444331044102