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14441133206601 = 321604570356289
BaseRepresentation
bin1101001000100101011010…
…0111010110110001001001
31220010120002101212201110200
43102021112213112301021
53343100420100102401
650414055350402413
73020223512630523
oct322112647266111
956116071781420
1014441133206601
1146684a5240a02
121752956360409
13809a40350b9a
1437cd51502a13
151a09a8a23686
hexd22569d6c49

14441133206601 has 6 divisors (see below), whose sum is σ = 20859414631770. Its totient is φ = 9627422137728.

The previous prime is 14441133206593. The next prime is 14441133206603. The reversal of 14441133206601 is 10660233114441.

14441133206601 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 1 + 13 + 32 + 0 + 6 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7836752336400 + 6604380870201 = 2799420^2 + 2569899^2 .

It is not a de Polignac number, because 14441133206601 - 23 = 14441133206593 is a prime.

It is a super-3 number, since 3×144411332066013 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14441133206603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 802285178136 + ... + 802285178153.

It is an arithmetic number, because the mean of its divisors is an integer number (3476569105295).

Almost surely, 214441133206601 is an apocalyptic number.

It is an amenable number.

14441133206601 is a deficient number, since it is larger than the sum of its proper divisors (6418281425169).

14441133206601 is a wasteful number, since it uses less digits than its factorization.

14441133206601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604570356295 (or 1604570356292 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14441133206601 in words is "fourteen trillion, four hundred forty-one billion, one hundred thirty-three million, two hundred six thousand, six hundred one".

Divisors: 1 3 9 1604570356289 4813711068867 14441133206601