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141441234444 = 223221118620489
BaseRepresentation
bin1000001110111010001…
…1011111011000001100
3111112002021122011201200
42003232203133120030
54304132424000234
6144551024305500
713135021440666
oct2035643373014
9445067564650
10141441234444
1154a91986994
12234b4472290
131045134a143
146bbabd5536
153a2c50dd99
hex20ee8df60c

141441234444 has 36 divisors (see below), whose sum is σ = 359226493080. Its totient is φ = 46923629760.

The previous prime is 141441234427. The next prime is 141441234491. The reversal of 141441234444 is 444432144141.

141441234444 is a `hidden beast` number, since 1 + 414 + 4 + 1 + 234 + 4 + 4 + 4 = 666.

141441234444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 141441234399 and 141441234408.

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 11 ways as a sum of consecutive naturals, for example, 9302649 + ... + 9317840.

Almost surely, 2141441234444 is an apocalyptic number.

It is an amenable number.

141441234444 is an abundant number, since it is smaller than the sum of its proper divisors (217785258636).

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

141441234444 is a wasteful number, since it uses less digits than its factorization.

141441234444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620710 (or 18620705 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 141441234444 its reverse (444432144141), we get a palindrome (585873378585).

The spelling of 141441234444 in words is "one hundred forty-one billion, four hundred forty-one million, two hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 18620489 37240978 55861467 74481956 111722934 167584401 223445868 335168802 670337604 3928923179 7857846358 11786769537 15715692716 23573539074 35360308611 47147078148 70720617222 141441234444