Search a number
-
+
442441432321204 = 221016289717411833
BaseRepresentation
bin110010010011001011110110…
…0011010000100110010110100
32011000112222200010211100020011
41210212113230122010302310
5430442430023133234304
64204554442114550004
7162123224101225501
oct14446275432046264
92130488603740204
10442441432321204
11118a803a3137018
1241758144598304
1315cb50817245b4
147b383cb26a4a8
153623db4d34c04
hex19265ec684cb4

442441432321204 has 24 divisors (see below), whose sum is σ = 781951047941448. Its totient is φ = 219026917094400.

The previous prime is 442441432321171. The next prime is 442441432321247. The reversal of 442441432321204 is 402123234144244.

It can be written as a sum of positive squares in 4 ways, for example, as 149365795540900 + 293075636780304 = 12221530^2 + 17119452^2 .

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 7 ways as a sum of consecutive naturals, for example, 16704472 + ... + 34116304.

It is an arithmetic number, because the mean of its divisors is an integer number (32581293664227).

Almost surely, 2442441432321204 is an apocalyptic number.

It is an amenable number.

442441432321204 is a deficient number, since it is larger than the sum of its proper divisors (339509615620244).

442441432321204 is a wasteful number, since it uses less digits than its factorization.

442441432321204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474835 (or 17474833 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 442441432321204 its reverse (402123234144244), we get a palindrome (844564666465448).

The spelling of 442441432321204 in words is "four hundred forty-two trillion, four hundred forty-one billion, four hundred thirty-two million, three hundred twenty-one thousand, two hundred four".

Divisors: 1 2 4 101 202 404 62897 125794 251588 6352597 12705194 17411833 25410388 34823666 69647332 1758595133 3517190266 7034380532 1095152060201 2190304120402 4380608240804 110610358080301 221220716160602 442441432321204