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31444413437 is a prime number
BaseRepresentation
bin11101010010001110…
…111010101111111101
310000011102012201010002
4131102032322233331
51003344232212222
622240110524045
72162136050513
oct352216725775
9100142181102
1031444413437
1112376608248
126116806625
132c716c41c8
1417441dc4b3
15c40843392
hex7523babfd

31444413437 has 2 divisors, whose sum is σ = 31444413438. Its totient is φ = 31444413436.

The previous prime is 31444413419. The next prime is 31444413457. The reversal of 31444413437 is 73431444413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27825909721 + 3618503716 = 166811^2 + 60154^2 .

It is a cyclic number.

It is not a de Polignac number, because 31444413437 - 28 = 31444413181 is a prime.

It is a super-3 number, since 3×314444134373 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 31444413437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31444413457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15722206718 + 15722206719.

It is an arithmetic number, because the mean of its divisors is an integer number (15722206719).

Almost surely, 231444413437 is an apocalyptic number.

It is an amenable number.

31444413437 is a deficient number, since it is larger than the sum of its proper divisors (1).

31444413437 is an equidigital number, since it uses as much as digits as its factorization.

31444413437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 38.

The spelling of 31444413437 in words is "thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, four hundred thirty-seven".