Search a number
-
+
131040142001214 = 23711299372367347
BaseRepresentation
bin11101110010111000101001…
…000111011000010000111110
3122011222022111210200122210120
4131302320221013120100332
5114133430202323014324
61142411002110515410
736413223606635145
oct3562705107302076
9564868453618716
10131040142001214
11388318a2a4a836
121284455a505b66
135817056161464
14245053b9b875c
1510239c4ee6179
hex772e291d843e

131040142001214 has 32 divisors (see below), whose sum is σ = 265773713262336. Its totient is φ = 43064485779840.

The previous prime is 131040142001213. The next prime is 131040142001239. The reversal of 131040142001214 is 412100241040131.

It is a happy number.

131040142001214 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131040142001213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54169489 + ... + 56536835.

It is an arithmetic number, because the mean of its divisors is an integer number (8305428539448).

Almost surely, 2131040142001214 is an apocalyptic number.

131040142001214 is an abundant number, since it is smaller than the sum of its proper divisors (134733571261122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131040142001214 is a wasteful number, since it uses less digits than its factorization.

131040142001214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497360.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131040142001214 its reverse (412100241040131), we get a palindrome (543140383041345).

The spelling of 131040142001214 in words is "one hundred thirty-one trillion, forty billion, one hundred forty-two million, one thousand, two hundred fourteen".

Divisors: 1 2 3 6 71 142 213 426 129937 259874 389811 779622 2367347 4734694 7102041 9225527 14204082 18451054 27676581 55353162 168081637 336163274 504244911 1008489822 307605967139 615211934278 922817901417 1845635802834 21840023666869 43680047333738 65520071000607 131040142001214