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402144502129 is a prime number
BaseRepresentation
bin1011101101000011010…
…11100010000101110001
31102110000010211100212121
411312201223202011301
523042042443032004
6504424224154241
741024341603546
oct5664153420561
91373003740777
10402144502129
111456040a6607
1265b31468981
132bbcaa0b006
141566cd14bcd
15a6d9d01854
hex5da1ae2171

402144502129 has 2 divisors, whose sum is σ = 402144502130. Its totient is φ = 402144502128.

The previous prime is 402144502127. The next prime is 402144502153. The reversal of 402144502129 is 921205441204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239465379904 + 162679122225 = 489352^2 + 403335^2 .

It is a cyclic number.

It is not a de Polignac number, because 402144502129 - 21 = 402144502127 is a prime.

Together with 402144502127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 402144502094 and 402144502103.

It is not a weakly prime, because it can be changed into another prime (402144502127) 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 as a sum of consecutive naturals, namely, 201072251064 + 201072251065.

It is an arithmetic number, because the mean of its divisors is an integer number (201072251065).

Almost surely, 2402144502129 is an apocalyptic number.

It is an amenable number.

402144502129 is a deficient number, since it is larger than the sum of its proper divisors (1).

402144502129 is an equidigital number, since it uses as much as digits as its factorization.

402144502129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 402144502129 in words is "four hundred two billion, one hundred forty-four million, five hundred two thousand, one hundred twenty-nine".