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114446554001 = 1332172736581
BaseRepresentation
bin110101010010110001…
…0111101001110010001
3101221101222101022202022
41222211202331032101
53333341304212001
6124324230501225
711161043441513
oct1524542751621
9357358338668
10114446554001
114459a106a2a
121a21bb04815
13aa3b7ac950
145779979bb3
152e9c67a11b
hex1aa58bd391

114446554001 has 8 divisors (see below), whose sum is σ = 123288492264. Its totient is φ = 105610095360.

The previous prime is 114446553983. The next prime is 114446554007. The reversal of 114446554001 is 100455644411.

It can be written as a sum of positive squares in 4 ways, for example, as 1728563776 + 112717990225 = 41576^2 + 335735^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114446554001 - 218 = 114446291857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114446554007) by changing a digit.

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, 1326470 + ... + 1410111.

It is an arithmetic number, because the mean of its divisors is an integer number (15411061533).

Almost surely, 2114446554001 is an apocalyptic number.

It is an amenable number.

114446554001 is a deficient number, since it is larger than the sum of its proper divisors (8841938263).

114446554001 is a wasteful number, since it uses less digits than its factorization.

114446554001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739811.

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 114446554001 in words is "one hundred fourteen billion, four hundred forty-six million, five hundred fifty-four thousand, one".

Divisors: 1 13 3217 41821 2736581 35575553 8803581077 114446554001