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444112240 = 245111338821
BaseRepresentation
bin11010011110001…
…001110101110000
31010221200020110111
4122132021311300
51402143042430
6112022511104
714001614605
oct3236116560
91127606414
10444112240
11208765110
12104895494
1371017b10
1442da86ac
1528ec8c2a
hex1a789d70

444112240 has 80 divisors (see below), whose sum is σ = 1213109856. Its totient is φ = 149068800.

The previous prime is 444112223. The next prime is 444112271. The reversal of 444112240 is 42211444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7971 + ... + 30850.

Almost surely, 2444112240 is an apocalyptic number.

444112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444112240 is an abundant number, since it is smaller than the sum of its proper divisors (768997616).

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

444112240 is a wasteful number, since it uses less digits than its factorization.

444112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38858 (or 38852 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 444112240 is about 21073.9706747447. The cubic root of 444112240 is about 762.9526413958.

Adding to 444112240 its reverse (42211444), we get a palindrome (486323684).

The spelling of 444112240 in words is "four hundred forty-four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 38821 77642 155284 194105 310568 388210 427031 504673 621136 776420 854062 1009346 1552840 1708124 2018692 2135155 2523365 3105680 3416248 4037384 4270310 5046730 5551403 6832496 8074768 8540620 10093460 11102806 17081240 20186920 22205612 27757015 34162480 40373840 44411224 55514030 88822448 111028060 222056120 444112240