Search a number
-
+
444114034022034 = 2351038871989173
BaseRepresentation
bin110010011111010110101101…
…1001111001101011010010010
32011020110212221122000100200000
41210332231123033031122102
5431202331020202201114
64212315100510110430
7162355115530136025
oct14476553317153222
92136425848010600
10444114034022034
111195657821a3952
12419883374ab416
13160a6a09ab210c
147b9533bcd51bc
15365265a143e09
hex193eb5b3cd692

444114034022034 has 48 divisors (see below), whose sum is σ = 1007574066512832. Its totient is φ = 146600749078128.

The previous prime is 444114034022017. The next prime is 444114034022039. The reversal of 444114034022034 is 430220430411444.

444114034022034 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 1 + 40 + 3 + 402 + 203 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 444114034022034.

It is not an unprimeable number, because it can be changed into a prime (444114034022039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4435944529 + ... + 4436044644.

It is an arithmetic number, because the mean of its divisors is an integer number (20991126385684).

Almost surely, 2444114034022034 is an apocalyptic number.

444114034022034 is an abundant number, since it is smaller than the sum of its proper divisors (563460032490798).

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

444114034022034 is a wasteful number, since it uses less digits than its factorization.

444114034022034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871989293 (or 8871989281 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444114034022034 its reverse (430220430411444), we get a palindrome (874334464433478).

The spelling of 444114034022034 in words is "four hundred forty-four trillion, one hundred fourteen billion, thirty-four million, twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 486 618 927 1854 2781 5562 8343 16686 25029 50058 8871989173 17743978346 26615967519 53231935038 79847902557 159695805114 239543707671 479087415342 718631123013 913814884819 1437262246026 1827629769638 2155893369039 2741444654457 4311786738078 5482889308914 8224333963371 16448667926742 24673001890113 49346003780226 74019005670339 148038011340678 222057017011017 444114034022034