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42314015331 = 347233244691
BaseRepresentation
bin100111011010000111…
…001010001001100011
311001012221021200210000
4213122013022021203
51143124341442311
631234440111043
73025403124120
oct473207121143
9131187250700
1042314015331
1116a44182005
12824aa65483
133cb45c3ac3
142095a47747
151179c26056
hex9da1ca263

42314015331 has 40 divisors (see below), whose sum is σ = 75380684544. Its totient is φ = 23128150320.

The previous prime is 42314015287. The next prime is 42314015351. The reversal of 42314015331 is 13351041324.

It is a happy number.

42314015331 is a `hidden beast` number, since 4 + 2 + 314 + 0 + 15 + 331 = 666.

It is not a de Polignac number, because 42314015331 - 27 = 42314015203 is a prime.

It is a super-2 number, since 2×423140153312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42314015295 and 42314015304.

It is not an unprimeable number, because it can be changed into a prime (42314015351) 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 39 ways as a sum of consecutive naturals, for example, 1609305 + ... + 1635386.

Almost surely, 242314015331 is an apocalyptic number.

42314015331 is a deficient number, since it is larger than the sum of its proper divisors (33066669213).

42314015331 is a wasteful number, since it uses less digits than its factorization.

42314015331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244733 (or 3244724 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 42314015331 its reverse (13351041324), we get a palindrome (55665056655).

The spelling of 42314015331 in words is "forty-two billion, three hundred fourteen million, fifteen thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 1449 1863 4347 13041 3244691 9734073 22712837 29202219 68138511 74627893 87606657 204415533 223883679 262819971 522395251 613246599 671651037 1567185753 1839739797 2014953111 4701557259 6044859333 14104671777 42314015331