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441122424221144 = 231393011131747867
BaseRepresentation
bin110010001001100101101000…
…1011001011110110111011000
32010211212220002012101100200002
41210103023101121132313120
5430304322211100034034
64202104502153432132
7161626020616323551
oct14423132131366730
92124786065340602
10441122424221144
11118611a73486a26
124158459340b648
1315c1a8875b4893
147ad0621439328
1535ee9172c4e7e
hex19132d165edd8

441122424221144 has 32 divisors (see below), whose sum is σ = 833331614673600. Its totient is φ = 218901714316320.

The previous prime is 441122424221119. The next prime is 441122424221183.

441122424221144 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 441122424221098 and 441122424221107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62525702 + ... + 69222165.

It is an arithmetic number, because the mean of its divisors is an integer number (26041612958550).

Almost surely, 2441122424221144 is an apocalyptic number.

It is an amenable number.

441122424221144 is a deficient number, since it is larger than the sum of its proper divisors (392209190452456).

441122424221144 is a wasteful number, since it uses less digits than its factorization.

441122424221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131751023 (or 131751019 counting only the distinct ones).

The product of its digits is 131072, while the sum is 38.

The spelling of 441122424221144 in words is "four hundred forty-one trillion, one hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 139 278 556 1112 3011 6022 12044 24088 418529 837058 1674116 3348232 131747867 263495734 526991468 1053982936 18312953513 36625907026 73251814052 146503628104 396692827537 793385655074 1586771310148 3173542620296 55140303027643 110280606055286 220561212110572 441122424221144