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4381414371557 is a prime number
BaseRepresentation
bin111111110000100000101…
…001011011000011100101
3120111212012022010022200222
4333300200221123003211
51033241114034342212
613152443255414125
7631355350450346
oct77604051330345
916455168108628
104381414371557
11143a16920a263
125a9192984345
1325a21caa01a2
141120c0dd00cd
1578e85dbac72
hex3fc20a5b0e5

4381414371557 has 2 divisors, whose sum is σ = 4381414371558. Its totient is φ = 4381414371556.

The previous prime is 4381414371491. The next prime is 4381414371559. The reversal of 4381414371557 is 7551734141834.

4381414371557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4240362297796 + 141052073761 = 2059214^2 + 375569^2 .

It is a cyclic number.

It is not a de Polignac number, because 4381414371557 - 234 = 4364234502373 is a prime.

Together with 4381414371559, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 4381414371499 and 4381414371508.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4381414371559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2190707185778 + 2190707185779.

It is an arithmetic number, because the mean of its divisors is an integer number (2190707185779).

Almost surely, 24381414371557 is an apocalyptic number.

It is an amenable number.

4381414371557 is a deficient number, since it is larger than the sum of its proper divisors (1).

4381414371557 is an equidigital number, since it uses as much as digits as its factorization.

4381414371557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5644800, while the sum is 53.

The spelling of 4381414371557 in words is "four trillion, three hundred eighty-one billion, four hundred fourteen million, three hundred seventy-one thousand, five hundred fifty-seven".