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444121121444 = 22721113103153841
BaseRepresentation
bin1100111011001111010…
…11101000001010100100
31120110100120020120022212
412131213223220022210
524234030001341234
6540005412542552
744041510150100
oct6354753501244
91513316216285
10444121121444
11161394881a30
12720a7321a58
1332b5a43c7b0
14176d1c12900
15b8450cd5ce
hex6767ae82a4

444121121444 has 144 divisors (see below), whose sum is σ = 1072483042176. Its totient is φ = 158172134400.

The previous prime is 444121121429. The next prime is 444121121447.

444121121444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 444121121444.

It is not an unprimeable number, because it can be changed into a prime (444121121447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2809964 + ... + 2963804.

It is an arithmetic number, because the mean of its divisors is an integer number (7447798904).

Almost surely, 2444121121444 is an apocalyptic number.

444121121444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444121121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536241521088).

444121121444 is an abundant number, since it is smaller than the sum of its proper divisors (628361920732).

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

444121121444 is a wasteful number, since it uses less digits than its factorization.

444121121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153986 (or 153977 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 444121 and 121444, that added together give a palindrome (565565).

The spelling of 444121121444 in words is "four hundred forty-four billion, one hundred twenty-one million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 103 143 154 182 196 206 286 308 364 412 539 572 637 721 1001 1078 1133 1274 1339 1442 2002 2156 2266 2548 2678 2884 4004 4532 5047 5356 7007 7931 9373 10094 14014 14729 15862 18746 20188 28028 29458 31724 37492 55517 58916 65611 103103 111034 131222 153841 206206 222068 262444 307682 412412 615364 721721 1076887 1443442 1692251 1999933 2153774 2886884 3384502 3999866 4307548 6769004 7538209 7999732 11845757 13999531 15076418 15845623 21999263 23691514 27999062 30152836 31691246 43998526 47383028 55998124 63382492 82920299 87997052 97996717 110919361 153994841 165840598 174301853 195993434 205993099 221838722 307989682 331681196 348603706 391986868 411986198 443677444 615979364 697207412 776435527 823972396 1077963887 1220112971 1441951693 1552871054 2155927774 2265924089 2440225942 2883903386 3105742108 4311855548 4531848178 4880451884 5767806772 8540790797 9063696356 10093661851 15861468623 17081581594 20187323702 31722937246 34163163188 40374647404 63445874492 111030280361 222060560722 444121121444