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3414047761 is a prime number
BaseRepresentation
bin1100101101111110…
…0011110000010001
322210221010121002101
43023133203300101
523442444012021
61322434520401
7150413633005
oct31337436021
98727117071
103414047761
1114a2160683
127b3436101
13425403c07
142455c6705
1514eacea91
hexcb7e3c11

3414047761 has 2 divisors, whose sum is σ = 3414047762. Its totient is φ = 3414047760.

The previous prime is 3414047687. The next prime is 3414047771. The reversal of 3414047761 is 1677404143.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2834923536 + 579124225 = 53244^2 + 24065^2 .

It is an emirp because it is prime and its reverse (1677404143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3414047761 - 217 = 3413916689 is a prime.

It is a super-2 number, since 2×34140477612 = 23311444228778226242, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3414047761.

It is not a weakly prime, because it can be changed into another prime (3414047771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1707023880 + 1707023881.

It is an arithmetic number, because the mean of its divisors is an integer number (1707023881).

Almost surely, 23414047761 is an apocalyptic number.

It is an amenable number.

3414047761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414047761 is an equidigital number, since it uses as much as digits as its factorization.

3414047761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 3414047761 is about 58429.8533371426. The cubic root of 3414047761 is about 1505.7626860963.

The spelling of 3414047761 in words is "three billion, four hundred fourteen million, forty-seven thousand, seven hundred sixty-one".