Search a number
-
+
442136610222163 = 5361743753724421
BaseRepresentation
bin110010010000111101111001…
…1100110000011000001010011
32010222110211212120021022011021
41210201323303212003001103
5430422431234204102123
64204202431003300311
7162062213241152263
oct14441736346030123
92128424776238137
10442136610222163
111189730a0aa13aa
124170905421a697
1315c923c388475c
147b277519357a3
15361aec4160c5d
hex1921ef3983053

442136610222163 has 32 divisors (see below), whose sum is σ = 458559552488832. Its totient is φ = 426034773964800.

The previous prime is 442136610222127. The next prime is 442136610222173. The reversal of 442136610222163 is 361222016631244.

It is not a de Polignac number, because 442136610222163 - 221 = 442136608125011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442136610222173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18104758693 + ... + 18104783113.

It is an arithmetic number, because the mean of its divisors is an integer number (14329986015276).

Almost surely, 2442136610222163 is an apocalyptic number.

442136610222163 is a deficient number, since it is larger than the sum of its proper divisors (16422942266669).

442136610222163 is a wasteful number, since it uses less digits than its factorization.

442136610222163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32815.

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 442136610222163 in words is "four hundred forty-two trillion, one hundred thirty-six billion, six hundred ten million, two hundred twenty-two thousand, one hundred sixty-three".

Divisors: 1 53 61 743 3233 7537 24421 39379 45323 399461 459757 1294313 1489681 2402119 5599991 18144803 24367121 78953093 184061077 296799523 341599451 961674559 1106832983 9755237081 11227725697 18104770903 58662148099 136757380211 595069461941 7248141151183 8342200192871 442136610222163