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441212222212144 = 2431889540770589
BaseRepresentation
bin110010001010001111011100…
…1110001101000100000110000
32010212012110212101010221112121
41210110132321301220200300
5430312310112341242034
64202214032520204024
7161635350113544565
oct14424367161504060
92125173771127477
10441212222212144
11118647064072729
1241599a74609614
1315c261985c82b6
147ad4add59086c
153601e20a4c1b4
hex19147b9c68830

441212222212144 has 20 divisors (see below), whose sum is σ = 882424444425280. Its totient is φ = 213489784941120.

The previous prime is 441212222212121. The next prime is 441212222212183.

441212222212144 is nontrivially palindromic in base 10.

441212222212144 is an admirable number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 444770384799 + ... + 444770385790.

It is an arithmetic number, because the mean of its divisors is an integer number (44121222221264).

Almost surely, 2441212222212144 is an apocalyptic number.

It is an amenable number.

441212222212144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

441212222212144 is a wasteful number, since it uses less digits than its factorization.

441212222212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889540770628 (or 889540770622 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 441212222212144 in words is "four hundred forty-one trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 889540770589 1779081541178 3558163082356 7116326164712 14232652329424 27575763888259 55151527776518 110303055553036 220606111106072 441212222212144