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2400142517 is a prime number
BaseRepresentation
bin1000111100001111…
…0100010010110101
320012021021212120022
42033003310102311
514403414030032
61034055214525
7113322606023
oct21703642265
96167255508
102400142517
1110218aa663
1256b977445
132c3338796
1418aa99713
15e0aa3512
hex8f0f44b5

2400142517 has 2 divisors, whose sum is σ = 2400142518. Its totient is φ = 2400142516.

The previous prime is 2400142469. The next prime is 2400142523. The reversal of 2400142517 is 7152410042.

2400142517 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., 2228689681 + 171452836 = 47209^2 + 13094^2 .

It is a cyclic number.

It is not a de Polignac number, because 2400142517 - 216 = 2400076981 is a prime.

It is a super-2 number, since 2×24001425172 = 11521368203822190578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2400147517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200071258 + 1200071259.

It is an arithmetic number, because the mean of its divisors is an integer number (1200071259).

Almost surely, 22400142517 is an apocalyptic number.

It is an amenable number.

2400142517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400142517 is an equidigital number, since it uses as much as digits as its factorization.

2400142517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2400142517 is about 48991.2493921108. The cubic root of 2400142517 is about 1338.8924011886.

Adding to 2400142517 its reverse (7152410042), we get a palindrome (9552552559).

The spelling of 2400142517 in words is "two billion, four hundred million, one hundred forty-two thousand, five hundred seventeen".