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3140400432329 is a prime number
BaseRepresentation
bin101101101100101110011…
…100111100010011001001
3102010012220220110020002022
4231230232130330103021
5402423020002313304
610402402520014225
7442613023145426
oct55545634742311
912105826406068
103140400432329
1110009221a0626
12428769901375
1319a1a53551b4
14abdd379cd4d
1556a506b1ebe
hex2db2e73c4c9

3140400432329 has 2 divisors, whose sum is σ = 3140400432330. Its totient is φ = 3140400432328.

The previous prime is 3140400432319. The next prime is 3140400432427. The reversal of 3140400432329 is 9232340040413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3067584108304 + 72816324025 = 1751452^2 + 269845^2 .

It is a cyclic number.

It is not a de Polignac number, because 3140400432329 - 212 = 3140400428233 is a prime.

It is a super-2 number, since 2×31404004323292 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3140400432319) 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, 1570200216164 + 1570200216165.

It is an arithmetic number, because the mean of its divisors is an integer number (1570200216165).

Almost surely, 23140400432329 is an apocalyptic number.

It is an amenable number.

3140400432329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3140400432329 is an equidigital number, since it uses as much as digits as its factorization.

3140400432329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 3140400432329 in words is "three trillion, one hundred forty billion, four hundred million, four hundred thirty-two thousand, three hundred twenty-nine".