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4002014417 is a prime number
BaseRepresentation
bin1110111010001001…
…1110010011010001
3101022220111101201012
43232202132103101
531144003430132
61501041020305
7201113363342
oct35642362321
911286441635
104002014417
11177403a735
12938324695
134ba17858b
1429d71a0c9
151865220b2
hexee89e4d1

4002014417 has 2 divisors, whose sum is σ = 4002014418. Its totient is φ = 4002014416.

The previous prime is 4002014407. The next prime is 4002014449. The reversal of 4002014417 is 7144102004.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3739444801 + 262569616 = 61151^2 + 16204^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002014417 - 212 = 4002010321 is a prime.

It is a super-2 number, since 2×40020144172 = 32032238787751699778, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002014392 and 4002014401.

It is not a weakly prime, because it can be changed into another prime (4002014407) 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, 2001007208 + 2001007209.

It is an arithmetic number, because the mean of its divisors is an integer number (2001007209).

Almost surely, 24002014417 is an apocalyptic number.

It is an amenable number.

4002014417 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002014417 is an equidigital number, since it uses as much as digits as its factorization.

4002014417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4002014417 is about 63261.4765635454. The cubic root of 4002014417 is about 1587.6674812203.

The spelling of 4002014417 in words is "four billion, two million, fourteen thousand, four hundred seventeen".