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444242040033 = 311659119317123
BaseRepresentation
bin1100111011011101110…
…00111001010011100001
31120110122222202212110010
412131232320321103201
524234301430240113
6540025412355133
744044506015321
oct6355670712341
91513588685403
10444242040033
11161447060950
127211b915aa9
1332b794c885c
1417703ccb281
15b850a161c3
hex676ee394e1

444242040033 has 32 divisors (see below), whose sum is σ = 647731054080. Its totient is φ = 268588019840.

The previous prime is 444242040017. The next prime is 444242040037. The reversal of 444242040033 is 330040242444.

It is a cyclic number.

It is not a de Polignac number, because 444242040033 - 24 = 444242040017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444242040037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25935610 + ... + 25952732.

It is an arithmetic number, because the mean of its divisors is an integer number (20241595440).

Almost surely, 2444242040033 is an apocalyptic number.

It is an amenable number.

444242040033 is a deficient number, since it is larger than the sum of its proper divisors (203489014047).

444242040033 is a wasteful number, since it uses less digits than its factorization.

444242040033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18989.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 444242040033 its reverse (330040242444), we get a palindrome (774282282477).

The spelling of 444242040033 in words is "four hundred forty-four billion, two hundred forty-two million, forty thousand, thirty-three".

Divisors: 1 3 11 33 659 1193 1977 3579 7249 13123 17123 21747 39369 51369 188353 565059 786187 2358561 8648057 11284057 20427739 25944171 33852171 61283217 124124627 224705129 372373881 674115387 13461880001 40385640003 148080680011 444242040033