Search a number
-
+
442443404412 = 223413523100981
BaseRepresentation
bin1100111000000111010…
…11101001010001111100
31120022000122022201020000
412130003223221101330
524222111002420122
6535131121354300
743652105612562
oct6340353512174
91508018281200
10442443404412
11160703849329
12718b9498990
1332950995819
14175b308ba32
15b797b7c0ac
hex6703ae947c

442443404412 has 60 divisors (see below), whose sum is σ = 1156731441096. Its totient is φ = 147468768480.

The previous prime is 442443404383. The next prime is 442443404453. The reversal of 442443404412 is 214404344244.

It is a happy number.

442443404412 is a `hidden beast` number, since 4 + 4 + 244 + 3 + 404 + 4 + 1 + 2 = 666.

442443404412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4424434044122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4330962 + ... + 4431942.

Almost surely, 2442443404412 is an apocalyptic number.

It is an amenable number.

442443404412 is an abundant number, since it is smaller than the sum of its proper divisors (714288036684).

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

442443404412 is a wasteful number, since it uses less digits than its factorization.

442443404412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114520 (or 114509 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 442443404412 its reverse (214404344244), we get a palindrome (656847748656).

The spelling of 442443404412 in words is "four hundred forty-two billion, four hundred forty-three million, four hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 13523 27046 40569 54092 81138 100981 121707 162276 201962 243414 302943 365121 403924 486828 605886 730242 908829 1095363 1211772 1460484 1817658 2190726 2726487 3635316 4381452 5452974 8179461 10905948 16358922 32717844 1365566063 2731132126 4096698189 5462264252 8193396378 12290094567 16386792756 24580189134 36870283701 49160378268 73740567402 110610851103 147481134804 221221702206 442443404412