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14009128237129 = 37428772
BaseRepresentation
bin1100101111011100000100…
…0111001011100001001001
31211121021000020022110001011
43023313001013023201021
53314011143312042004
645443412112523521
72644061154160564
oct313670107134111
954537006273034
1014009128237129
114511268744313
1216a30908505a1
137a80941534ac
1436608c9054db
151946224ab004
hexcbdc11cb849

14009128237129 has 3 divisors (see below), whose sum is σ = 14009131980007. Its totient is φ = 14009124494252.

The previous prime is 14009128237099. The next prime is 14009128237151. The reversal of 14009128237129 is 92173282190041.

The square root of 14009128237129 is 3742877.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 12571882119225 + 1437246117904 = 3545685^2 + 1198852^2 .

It is not a de Polignac number, because 14009128237129 - 29 = 14009128236617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14009128232129) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1871439 + ... + 5614315.

Almost surely, 214009128237129 is an apocalyptic number.

14009128237129 is the 3742877-th square number.

14009128237129 is the 1871439-th centered octagonal number.

It is an amenable number.

14009128237129 is a deficient number, since it is larger than the sum of its proper divisors (3742878).

14009128237129 is an frugal number, since it uses more digits than its factorization.

14009128237129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485754 (or 3742877 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

Multiplying 14009128237129 by its sum of digits (49), we get a square (686447283619321 = 262001392).

The spelling of 14009128237129 in words is "fourteen trillion, nine billion, one hundred twenty-eight million, two hundred thirty-seven thousand, one hundred twenty-nine".

Divisors: 1 3742877 14009128237129