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444114150 = 235222713043
BaseRepresentation
bin11010011110001…
…010010011100110
31010221200100002020
4122132022103212
51402143123100
6112022524010
714001623304
oct3236122346
91127610066
10444114150
11208766597
12104896606
137101894c
1442da9274
1528ec95a0
hex1a78a4e6

444114150 has 48 divisors (see below), whose sum is σ = 1106339904. Its totient is φ = 117899680.

The previous prime is 444114119. The next prime is 444114169. The reversal of 444114150 is 51411444.

It is a self number, because there is not a number n which added to its sum of digits gives 444114150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27529 + ... + 40571.

It is an arithmetic number, because the mean of its divisors is an integer number (23048748).

Almost surely, 2444114150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444114150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553169952).

444114150 is an abundant number, since it is smaller than the sum of its proper divisors (662225754).

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

444114150 is a wasteful number, since it uses less digits than its factorization.

444114150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 444114150 is about 21074.0159912628. The cubic root of 444114150 is about 762.9537351414.

Adding to 444114150 its reverse (51411444), we get a palindrome (495525594).

The spelling of 444114150 in words is "four hundred forty-four million, one hundred fourteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 227 454 681 1135 1362 2270 3405 5675 6810 11350 13043 17025 26086 34050 39129 65215 78258 130430 195645 326075 391290 652150 978225 1956450 2960761 5921522 8882283 14803805 17764566 29607610 44411415 74019025 88822830 148038050 222057075 444114150