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444665001 = 311373111171
BaseRepresentation
bin11010100000010…
…000110010101001
31010222201022201010
4122200100302221
51402313240001
6112042414133
714006406264
oct3240206251
91128638633
10444665001
11209002440
12104b01349
137117c5b1
14430adcdb
15290878d6
hex1a810ca9

444665001 has 32 divisors (see below), whose sum is σ = 666971136. Its totient is φ = 261144000.

The previous prime is 444664993. The next prime is 444665027. The reversal of 444665001 is 100566444.

It is not a de Polignac number, because 444665001 - 23 = 444664993 is a prime.

It is a super-2 number, since 2×4446650012 = 395453926228660002, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 444665001.

It is not an unprimeable number, because it can be changed into a prime (444625001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379146 + ... + 380316.

It is an arithmetic number, because the mean of its divisors is an integer number (20842848).

Almost surely, 2444665001 is an apocalyptic number.

It is an amenable number.

444665001 is a deficient number, since it is larger than the sum of its proper divisors (222306135).

444665001 is a wasteful number, since it uses less digits than its factorization.

444665001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 444665001 is about 21087.0813769948. The cubic root of 444665001 is about 763.2690446080.

The spelling of 444665001 in words is "four hundred forty-four million, six hundred sixty-five thousand, one".

Divisors: 1 3 11 33 37 111 311 407 933 1171 1221 3421 3513 10263 11507 12881 34521 38643 43327 126577 129981 364181 379731 476597 1092543 1429791 4005991 12017973 13474697 40424091 148221667 444665001