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444276672444 = 223311373970263
BaseRepresentation
bin1100111011100001111…
…01000000011110111100
31120110202101221101012000
412131300331000132330
524234334312004234
6540033050542300
744045406256413
oct6356075003674
91513671841160
10444276672444
11161464665780
127212b437990
1332b837331c7
141770874447a
15b853aa7899
hex6770f407bc

444276672444 has 48 divisors (see below), whose sum is σ = 1256540087040. Its totient is φ = 134629294320.

The previous prime is 444276672377. The next prime is 444276672451.

444276672444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 186983944 + ... + 186986319.

It is an arithmetic number, because the mean of its divisors is an integer number (26177918480).

Almost surely, 2444276672444 is an apocalyptic number.

444276672444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444276672444 is an abundant number, since it is smaller than the sum of its proper divisors (812263414596).

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

444276672444 is a wasteful number, since it uses less digits than its factorization.

444276672444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373970287 (or 373970279 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 54.

The spelling of 444276672444 in words is "four hundred forty-four billion, two hundred seventy-six million, six hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 373970263 747940526 1121910789 1495881052 2243821578 3365732367 4113672893 4487643156 6731464734 8227345786 10097197101 12341018679 13462929468 16454691572 20194394202 24682037358 37023056037 40388788404 49364074716 74046112074 111069168111 148092224148 222138336222 444276672444