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444413144 = 23726716921
BaseRepresentation
bin11010011111010…
…011010011011000
31010222020112020002
4122133103103120
51402232210034
6112033152132
714004310100
oct3237232330
91128215202
10444413144
1120895019a
121049bb648
13710c1a76
1443046200
1529037e7e
hex1a7d34d8

444413144 has 48 divisors (see below), whose sum is σ = 983845080. Its totient is φ = 187608960.

The previous prime is 444413141. The next prime is 444413161. The reversal of 444413144 is 441314444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444413141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17804 + ... + 34724.

Almost surely, 2444413144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444413144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491922540).

444413144 is an abundant number, since it is smaller than the sum of its proper divisors (539431936).

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

444413144 is a wasteful number, since it uses less digits than its factorization.

444413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17008 (or 16997 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 444413144 is about 21081.1086994968. The cubic root of 444413144 is about 763.1249129160.

Adding to 444413144 its reverse (441314444), we get a palindrome (885727588).

The spelling of 444413144 in words is "four hundred forty-four million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 67 98 134 196 268 392 469 536 938 1876 3283 3752 6566 13132 16921 26264 33842 67684 118447 135368 236894 473788 829129 947576 1133707 1658258 2267414 3316516 4534828 6633032 7935949 9069656 15871898 31743796 55551643 63487592 111103286 222206572 444413144