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442244012143133 = 29229437531522021
BaseRepresentation
bin110010010001101111111010…
…1001111110111001000011101
32010222212010002120221012010002
41210203133311033313020131
5430431211214102040013
64204324032223224045
7162103034614342304
oct14443376517671035
92128763076835102
10442244012143133
11118a046a5639262
1241725a28a48025
1315c9c57ba31b95
147b2ca1da5743b
15361dbad107358
hex19237f53f721d

442244012143133 has 16 divisors (see below), whose sum is σ = 459502399057200. Its totient is φ = 425119619151360.

The previous prime is 442244012143081. The next prime is 442244012143237. The reversal of 442244012143133 is 331341210442244.

It can be written as a sum of positive squares in 8 ways, for example, as 92630191793764 + 349613820349369 = 9624458^2 + 18697963^2 .

It is a cyclic number.

It is not a de Polignac number, because 442244012143133 - 212 = 442244012139037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442244012143433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289802663 + ... + 291324683.

It is an arithmetic number, because the mean of its divisors is an integer number (28718899941075).

Almost surely, 2442244012143133 is an apocalyptic number.

It is an amenable number.

442244012143133 is a deficient number, since it is larger than the sum of its proper divisors (17258386914067).

442244012143133 is a wasteful number, since it uses less digits than its factorization.

442244012143133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566032.

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 442244012143133 its reverse (331341210442244), we get a palindrome (773585222585377).

The spelling of 442244012143133 in words is "four hundred forty-two trillion, two hundred forty-four billion, twelve million, one hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 29 229 6641 43753 1268837 1522021 10019437 44138609 290563673 348542809 10107741461 66592984813 1931196559577 15249793522177 442244012143133