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31444442301 = 3313183118289
BaseRepresentation
bin11101010010001111…
…000001110010111101
310000011102021011201010
4131102033001302331
51003344234123201
622240111305433
72162136230616
oct352217016275
9100142234633
1031444442301
11123766279a8
12611681b279
132c7170439c
141744208c0d
15c4084bbd6
hex7523c1cbd

31444442301 has 16 divisors (see below), whose sum is σ = 42085143680. Its totient is φ = 20883432960.

The previous prime is 31444442243. The next prime is 31444442311. The reversal of 31444442301 is 10324444413.

It is not a de Polignac number, because 31444442301 - 210 = 31444441277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31444442311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1710165 + ... + 1728453.

It is an arithmetic number, because the mean of its divisors is an integer number (2630321480).

Almost surely, 231444442301 is an apocalyptic number.

It is an amenable number.

31444442301 is a deficient number, since it is larger than the sum of its proper divisors (10640701379).

31444442301 is a wasteful number, since it uses less digits than its factorization.

31444442301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20436.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31444442301 its reverse (10324444413), we get a palindrome (41768886714).

The spelling of 31444442301 in words is "thirty-one billion, four hundred forty-four million, four hundred forty-two thousand, three hundred one".

Divisors: 1 3 313 939 1831 5493 18289 54867 573103 1719309 5724457 17173371 33487159 100461477 10481480767 31444442301