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42314413221 = 3271139476401
BaseRepresentation
bin100111011010001000…
…101011010010100101
311001012222000220120200
4213122020223102211
51143124442210341
631234452421113
73025406402133
oct473210532245
9131188026520
1042314413221
1116a44423a43
12824b017799
133cb4702c42
142095b0c753
151179ca3db6
hex9da22b4a5

42314413221 has 24 divisors (see below), whose sum is σ = 62427718080. Its totient is φ = 27612144000.

The previous prime is 42314413217. The next prime is 42314413237. The reversal of 42314413221 is 12231441324.

42314413221 is a `hidden beast` number, since 4 + 23 + 1 + 4 + 413 + 221 = 666.

It is not a de Polignac number, because 42314413221 - 22 = 42314413217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314413021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149380 + ... + 327021.

It is an arithmetic number, because the mean of its divisors is an integer number (2601154920).

Almost surely, 242314413221 is an apocalyptic number.

It is an amenable number.

42314413221 is a deficient number, since it is larger than the sum of its proper divisors (20113304859).

42314413221 is a wasteful number, since it uses less digits than its factorization.

42314413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476617 (or 476614 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 42314413221 its reverse (12231441324), we get a palindrome (54545854545).

It can be divided in two parts, 42314 and 413221, that added together give a triangular number (455535 = T954).

The spelling of 42314413221 in words is "forty-two billion, three hundred fourteen million, four hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 71 139 213 417 639 1251 9869 29607 88821 476401 1429203 4287609 33824471 66219739 101473413 198659217 304420239 595977651 4701601469 14104804407 42314413221