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4441212121444 = 227191830443553
BaseRepresentation
bin100000010100000110011…
…0111101111000101100100
3120201120112201010202110021
41000220030313233011210
51040231100300341234
613240133101004524
7635603243106520
oct100501467570544
916646481122407
104441212121444
11146256450786a
125b88a0b53744
13262a5c665b47
14114d54a76d80
157a7d59bc9b4
hex40a0cdef164

4441212121444 has 24 divisors (see below), whose sum is σ = 8928929092608. Its totient is φ = 1893411298560.

The previous prime is 4441212121387. The next prime is 4441212121459.

4441212121444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44412121214442 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415216429 + ... + 415227124.

It is an arithmetic number, because the mean of its divisors is an integer number (372038712192).

Almost surely, 24441212121444 is an apocalyptic number.

It is an amenable number.

4441212121444 is an abundant number, since it is smaller than the sum of its proper divisors (4487716971164).

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

4441212121444 is a wasteful number, since it uses less digits than its factorization.

4441212121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830443755 (or 830443753 counting only the distinct ones).

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

The spelling of 4441212121444 in words is "four trillion, four hundred forty-one billion, two hundred twelve million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 191 382 764 1337 2674 5348 830443553 1660887106 3321774212 5813104871 11626209742 23252419484 158614718623 317229437246 634458874492 1110303030361 2220606060722 4441212121444