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444332223041 = 71012141293543
BaseRepresentation
bin1100111011101000100…
…00111010101001000001
31120110220021110122021112
412131310100322221001
524234443022114131
6540042353333105
744046652402460
oct6356420725101
91513807418245
10444332223041
11161492a57763
1272145b67195
1332b920b2b95
1417711c849d7
15b8588cc02b
hex677443aa41

444332223041 has 16 divisors (see below), whose sum is σ = 513077338368. Its totient is φ = 376907928000.

The previous prime is 444332223011. The next prime is 444332223053. The reversal of 444332223041 is 140322233444.

It is a cyclic number.

It is not a de Polignac number, because 444332223041 - 226 = 444265114177 is a prime.

It is a super-2 number, since 2×4443322230412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444332222989 and 444332223007.

It is not an unprimeable number, because it can be changed into a prime (444332223011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366916 + ... + 1660458.

It is an arithmetic number, because the mean of its divisors is an integer number (32067333648).

Almost surely, 2444332223041 is an apocalyptic number.

It is an amenable number.

444332223041 is a deficient number, since it is larger than the sum of its proper divisors (68745115327).

444332223041 is a wasteful number, since it uses less digits than its factorization.

444332223041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295792.

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 444332223041 its reverse (140322233444), we get a palindrome (584654456485).

The spelling of 444332223041 in words is "four hundred forty-four billion, three hundred thirty-two million, two hundred twenty-three thousand, forty-one".

Divisors: 1 7 101 707 2141 14987 216241 293543 1513687 2054801 29647843 207534901 628475563 4399328941 63476031863 444332223041