Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
13036844041 = 13287832
BaseRepresentation
bin11000010010000111…
…00111010000001001
31020122120010021222121
430021003213100021
5203144413002131
65553344451241
7641031226444
oct141103472011
936576107877
1013036844041
11558aa5a981
12263a019b21
1312c9c01c00
148b95da65b
155147cd911
hex3090e7409

13036844041 has 9 divisors (see below), whose sum is σ = 14118426759. Its totient is φ = 12032639736.

The previous prime is 13036843999. The next prime is 13036844057. The reversal of 13036844041 is 14044863031.

The square root of 13036844041 is 114179.

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

It can be written as a sum of positive squares in only one way, i.e., 1928527225 + 11108316816 = 43915^2 + 105396^2 .

It is not a de Polignac number, because 13036844041 - 27 = 13036843913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13036843988 and 13036844006.

It is not an unprimeable number, because it can be changed into a prime (13036844341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1479936 + ... + 1488718.

Almost surely, 213036844041 is an apocalyptic number.

13036844041 is the 114179-th square number.

13036844041 is the 57090-th centered octagonal number.

It is an amenable number.

13036844041 is a deficient number, since it is larger than the sum of its proper divisors (1081582718).

13036844041 is an frugal number, since it uses more digits than its factorization.

13036844041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17592 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 13036844041 in words is "thirteen billion, thirty-six million, eight hundred forty-four thousand, forty-one".

Divisors: 1 13 169 8783 114179 1484327 77141089 1002834157 13036844041