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114013410020 = 22523324466397
BaseRepresentation
bin110101000101110111…
…0101001001011100100
3101220021210100022220122
41222023232221023210
53331444413110040
6124213235021112
711144233665206
oct1521356511344
9356253308818
10114013410020
11443976634a4
121a11aa3a798
13a99cb35333
145738228776
152e7461b1b5
hex1a8bba92e4

114013410020 has 24 divisors (see below), whose sum is σ = 240455759544. Its totient is φ = 45409630976.

The previous prime is 114013410019. The next prime is 114013410059. The reversal of 114013410020 is 20014310411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30497033956 + 83516376064 = 174634^2 + 288992^2 .

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, 12228539 + ... + 12237858.

It is an arithmetic number, because the mean of its divisors is an integer number (10018989981).

Almost surely, 2114013410020 is an apocalyptic number.

114013410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114013410020 is an abundant number, since it is smaller than the sum of its proper divisors (126442349524).

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

114013410020 is a wasteful number, since it uses less digits than its factorization.

114013410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24466639 (or 24466637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 114013410020 its reverse (20014310411), we get a palindrome (134027720431).

The spelling of 114013410020 in words is "one hundred fourteen billion, thirteen million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 24466397 48932794 97865588 122331985 244663970 489327940 5700670501 11401341002 22802682004 28503352505 57006705010 114013410020