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114441332420 = 2256418926781
BaseRepresentation
bin110101010010100111…
…1000010011011000100
3101221101121120001002102
41222211033002123010
53333333440114140
6124323522531232
711160651163322
oct1524517023304
9357347501072
10114441332420
114459716a978
121a21a206b18
13aa3a6a205c
145778dbad12
152e9be97e15
hex1aa53c26c4

114441332420 has 24 divisors (see below), whose sum is σ = 240701749848. Its totient is φ = 45705113600.

The previous prime is 114441332417. The next prime is 114441332477. The reversal of 114441332420 is 24233144411.

It can be written as a sum of positive squares in 4 ways, for example, as 29583312004 + 84858020416 = 171998^2 + 291304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4450571 + ... + 4476210.

It is an arithmetic number, because the mean of its divisors is an integer number (10029239577).

Almost surely, 2114441332420 is an apocalyptic number.

114441332420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114441332420 is an abundant number, since it is smaller than the sum of its proper divisors (126260417428).

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

114441332420 is a wasteful number, since it uses less digits than its factorization.

114441332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8927431 (or 8927429 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 114441332420 its reverse (24233144411), we get a palindrome (138674476831).

The spelling of 114441332420 in words is "one hundred fourteen billion, four hundred forty-one million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 8926781 17853562 35707124 44633905 89267810 178535620 5722066621 11444133242 22888266484 28610333105 57220666210 114441332420