Search a number
-
+
442545405510231 = 33433691811032491
BaseRepresentation
bin110010010011111100010000…
…1101100010100001001010111
32011000220221001012201121012000
41210213320201230110021113
5431001130442302311411
64205114315213130343
7162133564461603462
oct14447704154241127
92130827035647160
10442545405510231
111190104a8303911
1241774320a899b3
1315cc1b1142915a
147b3d451c622d9
15362694cc9a956
hex1927e21b14257

442545405510231 has 32 divisors (see below), whose sum is σ = 670872332317440. Its totient is φ = 288168041599200.

The previous prime is 442545405510217. The next prime is 442545405510251. The reversal of 442545405510231 is 132015504545244.

442545405510231 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 4 + 5 + 405 + 5 + 1 + 0 + 231 = 666.

It is not a de Polignac number, because 442545405510231 - 217 = 442545405379159 is a prime.

It is a super-2 number, since 2×4425454055102312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442545405510251) 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, 428102896 + ... + 429135386.

It is an arithmetic number, because the mean of its divisors is an integer number (20964760384920).

Almost surely, 2442545405510231 is an apocalyptic number.

442545405510231 is a deficient number, since it is larger than the sum of its proper divisors (228326926807209).

442545405510231 is a wasteful number, since it uses less digits than its factorization.

442545405510231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401724 (or 1401718 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 442545405510231 in words is "four hundred forty-two trillion, five hundred forty-five billion, four hundred five million, five hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 9 27 43 129 387 1161 369181 1032491 1107543 3097473 3322629 9292419 9967887 15874783 27877257 44397113 47624349 133191339 142873047 399574017 428619141 1198722051 381176059871 1143528179613 3430584538839 10291753616517 16390570574453 49171711723359 147515135170077 442545405510231