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442431100010421 = 33113489144387007
BaseRepresentation
bin110010010011000111000010…
…0100011011011111110110101
32011000112000000001202120102000
41210212032010203123332311
5430442242343100313141
64204550012541405513
7162122410050102444
oct14446160443337665
92130460001676360
10442431100010421
11118a76a80889aa5
1241756140269899
1315cb40c5c35632
147b37acad22d5b
1536239acbd45b6
hex19263848dbfb5

442431100010421 has 16 divisors (see below), whose sum is σ = 655459261516800. Its totient is φ = 294951465664704.

The previous prime is 442431100010407. The next prime is 442431100010461. The reversal of 442431100010421 is 124010001134244.

442431100010421 is a `hidden beast` number, since 4 + 4 + 2 + 431 + 100 + 0 + 104 + 21 = 666.

It is not a de Polignac number, because 442431100010421 - 218 = 442431099748277 is a prime.

It is a super-2 number, since 2×4424311000104212 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442431100010461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69129301 + ... + 75257706.

It is an arithmetic number, because the mean of its divisors is an integer number (40966203844800).

Almost surely, 2442431100010421 is an apocalyptic number.

It is an amenable number.

442431100010421 is a deficient number, since it is larger than the sum of its proper divisors (213028161506379).

442431100010421 is a wasteful number, since it uses less digits than its factorization.

442431100010421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144500505 (or 144500499 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 442431100010421 its reverse (124010001134244), we get a palindrome (566441101144665).

The spelling of 442431100010421 in words is "four hundred forty-two trillion, four hundred thirty-one billion, one hundred million, ten thousand, four hundred twenty-one".

Divisors: 1 3 9 27 113489 340467 1021401 3064203 144387007 433161021 1299483063 3898449189 16386337037423 49159011112269 147477033336807 442431100010421