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444384483444 = 2233111722003589
BaseRepresentation
bin1100111011101110110…
…00010001100001110100
31120111000220210202002000
412131313120101201310
524240044411432234
6540051501415300
744051155533246
oct6356730214164
91514026722060
10444384483444
1116150a501780
127215b56a530
1332b9cb800b5
1417718baa096
15b85d2a1899
hex6777611874

444384483444 has 96 divisors (see below), whose sum is σ = 1330777123200. Its totient is φ = 126740666880.

The previous prime is 444384483409. The next prime is 444384483451.

444384483444 is a `hidden beast` number, since 4 + 4 + 43 + 84 + 4 + 83 + 444 = 666.

444384483444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4443844834442 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 10981599 + ... + 11021990.

It is an arithmetic number, because the mean of its divisors is an integer number (13862261700).

Almost surely, 2444384483444 is an apocalyptic number.

444384483444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444384483444 is an abundant number, since it is smaller than the sum of its proper divisors (886392639756).

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

444384483444 is a wasteful number, since it uses less digits than its factorization.

444384483444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22003630 (or 22003622 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 54.

The spelling of 444384483444 in words is "four hundred forty-four billion, three hundred eighty-four million, four hundred eighty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 22003589 44007178 66010767 88014356 132021534 198032301 242039479 264043068 374061013 396064602 484078958 594096903 726118437 748122026 792129204 968157916 1122183039 1188193806 1452236874 1496244052 2178355311 2244366078 2376387612 2904473748 3366549117 4114671143 4356710622 4488732156 6535065933 6733098234 8229342286 8713421244 10099647351 12344013429 13070131866 13466196468 16458684572 20199294702 24688026858 26140263732 37032040287 40398589404 49376053716 74064080574 111096120861 148128161148 222192241722 444384483444