Search a number
-
+
114221043420 = 2235111016772531
BaseRepresentation
bin110101001100000011…
…0101100111011011100
3101220211021001012101120
41222120012230323130
53332411041342140
6124250013210540
711152334564331
oct1523006547334
9356737035346
10114221043420
114449388a550
121a178490a50
13aa03b62c33
145757a36988
152e879821d0
hex1a981acedc

114221043420 has 192 divisors, whose sum is σ = 353007631872. Its totient is φ = 27364480000.

The previous prime is 114221043413. The next prime is 114221043457. The reversal of 114221043420 is 24340122411.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 45127555 + ... + 45130085.

It is an arithmetic number, because the mean of its divisors is an integer number (1838581416).

Almost surely, 2114221043420 is an apocalyptic number.

114221043420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114221043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176503815936).

114221043420 is an abundant number, since it is smaller than the sum of its proper divisors (238786588452).

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

114221043420 is a wasteful number, since it uses less digits than its factorization.

114221043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114221043420 its reverse (24340122411), we get a palindrome (138561165831).

The spelling of 114221043420 in words is "one hundred fourteen billion, two hundred twenty-one million, forty-three thousand, four hundred twenty".