Search a number
-
+
114131114340 = 22351902185239
BaseRepresentation
bin110101001001010111…
…1101001100101100100
3101220120222211022212220
41222102233221211210
53332220031124330
6124233041512340
711150163315405
oct1522257514544
9356528738786
10114131114340
11444480474a1
121a1523426b0
13a9bb337369
145749b079ac
152e7eb1b710
hex1a92be9964

114131114340 has 24 divisors (see below), whose sum is σ = 319567120320. Its totient is φ = 30434963808.

The previous prime is 114131114329. The next prime is 114131114359. The reversal of 114131114340 is 43411131411.

It is a super-2 number, since 2×1141311143402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114131114340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951092560 + ... + 951092679.

It is an arithmetic number, because the mean of its divisors is an integer number (13315296680).

Almost surely, 2114131114340 is an apocalyptic number.

114131114340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114131114340 is an abundant number, since it is smaller than the sum of its proper divisors (205436005980).

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

114131114340 is a wasteful number, since it uses less digits than its factorization.

114131114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902185251 (or 1902185249 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 114131114340 its reverse (43411131411), we get a palindrome (157542245751).

The spelling of 114131114340 in words is "one hundred fourteen billion, one hundred thirty-one million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1902185239 3804370478 5706555717 7608740956 9510926195 11413111434 19021852390 22826222868 28532778585 38043704780 57065557170 114131114340