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114442452000 = 25325331102547
BaseRepresentation
bin110101010010101001…
…1010011110000100000
3101221101200122220212100
41222211103103300200
53333334231431000
6124324002530400
711160663535362
oct1524523236040
9357350586770
10114442452000
1144597865048
121a21a666a00
13aa3a9a4826
1457791ccd32
152e9c119a00
hex1aa54d3c20

114442452000 has 288 divisors, whose sum is σ = 419262165504. Its totient is φ = 29533248000.

The previous prime is 114442451987. The next prime is 114442452011. The reversal of 114442452000 is 254244411.

114442452000 is a `hidden beast` number, since 1 + 14 + 442 + 4 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1064727 + ... + 1167273.

It is an arithmetic number, because the mean of its divisors is an integer number (1455771408).

Almost surely, 2114442452000 is an apocalyptic number.

114442452000 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 114442452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209631082752).

114442452000 is an abundant number, since it is smaller than the sum of its proper divisors (304819713504).

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

114442452000 is a wasteful number, since it uses less digits than its factorization.

114442452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102609 (or 102588 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 114442452000 its reverse (254244411), we get a palindrome (114696696411).

The spelling of 114442452000 in words is "one hundred fourteen billion, four hundred forty-two million, four hundred fifty-two thousand".