Search a number
-
+
444214563541116 = 22354422368019691
BaseRepresentation
bin110010100000000101100001…
…1010000111001000001111100
32011020211111102201001001112120
41211000023003100321001330
5431211002411231303431
64212433204150402540
7162365304664014654
oct14500130320710174
92136744381031476
10444214563541116
111195a437a518525
12419a3912660450
13160b333b210a54
147b9a1573d3364
153655090ac8196
hex19402c343907c

444214563541116 has 24 divisors (see below), whose sum is σ = 1036502568052224. Its totient is φ = 148071246924720.

The previous prime is 444214563541079. The next prime is 444214563541129. The reversal of 444214563541116 is 611145365412444.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 27479170 + ... + 40540521.

It is an arithmetic number, because the mean of its divisors is an integer number (43187607002176).

Almost surely, 2444214563541116 is an apocalyptic number.

It is an amenable number.

444214563541116 is an abundant number, since it is smaller than the sum of its proper divisors (592288004511108).

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

444214563541116 is a wasteful number, since it uses less digits than its factorization.

444214563541116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68563921 (or 68563919 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The spelling of 444214563541116 in words is "four hundred forty-four trillion, two hundred fourteen billion, five hundred sixty-three million, five hundred forty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 544223 1088446 1632669 2176892 3265338 6530676 68019691 136039382 204059073 272078764 408118146 816236292 37017880295093 74035760590186 111053640885279 148071521180372 222107281770558 444214563541116