Search a number
-
+
444261335045634 = 23224681185280313
BaseRepresentation
bin110010100000011011010011…
…1000100000001011000000010
32011020222222011021212122221200
41211000312213010001120002
5431212234203232430014
64212510501222202030
7162401552014156311
oct14500664704013002
92136888137778850
10444261335045634
111196121a0845097
12419b09a6283316
13160b7883145a02
147b9c51303c278
1536563cbce1a09
hex1940da7101602

444261335045634 has 12 divisors (see below), whose sum is σ = 962566225932246. Its totient is φ = 148087111681872.

The previous prime is 444261335045603. The next prime is 444261335045641. The reversal of 444261335045634 is 436540533162444.

444261335045634 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 6 + 133 + 50 + 456 + 3 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 438451562385225 + 5809772660409 = 20939235^2 + 2410347^2 .

It is a Curzon number.

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 5 ways as a sum of consecutive naturals, for example, 12340592640139 + ... + 12340592640174.

Almost surely, 2444261335045634 is an apocalyptic number.

444261335045634 is an abundant number, since it is smaller than the sum of its proper divisors (518304890886612).

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

444261335045634 is a wasteful number, since it uses less digits than its factorization.

444261335045634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24681185280321 (or 24681185280318 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 444261335045634 in words is "four hundred forty-four trillion, two hundred sixty-one billion, three hundred thirty-five million, forty-five thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 24681185280313 49362370560626 74043555840939 148087111681878 222130667522817 444261335045634