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31444030001 = 417327138767
BaseRepresentation
bin11101010010001101…
…011101001000110001
310000011101111020010202
4131102031131020301
51003344132430001
622240054404545
72162132562566
oct352215351061
9100141436122
1031444030001
111237637615a
126116660755
132c715bb817
14174413c86d
15c407b996b
hex75235d231

31444030001 has 16 divisors (see below), whose sum is σ = 32773536768. Its totient is φ = 30144441600.

The previous prime is 31444029989. The next prime is 31444030049. The reversal of 31444030001 is 10003044413.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 31444030001 - 226 = 31376921137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31444030061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791720 + ... + 830486.

It is an arithmetic number, because the mean of its divisors is an integer number (2048346048).

Almost surely, 231444030001 is an apocalyptic number.

It is an amenable number.

31444030001 is a deficient number, since it is larger than the sum of its proper divisors (1329506767).

31444030001 is a wasteful number, since it uses less digits than its factorization.

31444030001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39152.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31444030001 its reverse (10003044413), we get a palindrome (41447074414).

The spelling of 31444030001 in words is "thirty-one billion, four hundred forty-four million, thirty thousand, one".

Divisors: 1 41 73 271 2993 11111 19783 38767 811103 1589447 2829991 10505857 116029631 430740137 766927561 31444030001