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444354505453444 = 22167952166143041
BaseRepresentation
bin110010100001000110101100…
…0011100111010111110000100
32011021022212122111102202222111
41211002031120130322332010
5431220301011344002234
64213021350335310404
7162411360611443315
oct14502153034727604
92137285574382874
10444354505453444
11119648762037523
1241a06a6897b404
13160c35b0a45331
147ba2c3102060c
153658a31673664
hex194235873af84

444354505453444 has 12 divisors (see below), whose sum is σ = 777620859301468. Its totient is φ = 222177117081600.

The previous prime is 444354505453421. The next prime is 444354505453457.

444354505453444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 155387144531844 + 288967360921600 = 12465438^2 + 16999040^2 .

It is a super-2 number, since 2×4443545054534442 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 26353437 + ... + 39789604.

Almost surely, 2444354505453444 is an apocalyptic number.

It is an amenable number.

444354505453444 is a deficient number, since it is larger than the sum of its proper divisors (333266353848024).

444354505453444 is a wasteful number, since it uses less digits than its factorization.

444354505453444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67822566 (or 67822564 counting only the distinct ones).

The product of its (nonzero) digits is 368640000, while the sum is 58.

It can be divided in two parts, 44435450 and 5453444, that added together give a palindrome (49888894).

The spelling of 444354505453444 in words is "four hundred forty-four trillion, three hundred fifty-four billion, five hundred five million, four hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 4 1679521 3359042 6718084 66143041 132286082 264572164 111088626363361 222177252726722 444354505453444