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42314222313 = 3311732936661
BaseRepresentation
bin100111011010000111…
…111100101011101001
311001012221200012201000
4213122013330223221
51143124420103223
631234444345213
73025404645426
oct473207745351
9131187605630
1042314222313
1116a44303570
12824ab45209
133cb466708c
142095a9cd4d
151179c67543
hex9da1fcae9

42314222313 has 64 divisors (see below), whose sum is σ = 69570466560. Its totient is φ = 25203571200.

The previous prime is 42314222287. The next prime is 42314222339. The reversal of 42314222313 is 31322241324.

42314222313 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 422 + 231 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (42314222287) and next prime (42314222339).

It is not a de Polignac number, because 42314222313 - 28 = 42314222057 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42314229313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6349203 + ... + 6355863.

It is an arithmetic number, because the mean of its divisors is an integer number (1087038540).

Almost surely, 242314222313 is an apocalyptic number.

It is an amenable number.

42314222313 is a deficient number, since it is larger than the sum of its proper divisors (27256244247).

42314222313 is a wasteful number, since it uses less digits than its factorization.

42314222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7041 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 42314222313 its reverse (31322241324), we get a palindrome (73636463637).

The spelling of 42314222313 in words is "forty-two billion, three hundred fourteen million, two hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 73 99 219 293 297 657 803 879 1971 2409 2637 3223 6661 7227 7911 9669 19983 21389 21681 29007 59949 64167 73271 87021 179847 192501 219813 235279 486253 577503 659439 705837 1458759 1951673 1978317 2117511 4376277 5348783 5855019 6352533 13128831 16046349 17565057 21468403 48139047 52695171 64405209 142472129 144417141 193215627 427416387 579646881 1282249161 1567193419 3846747483 4701580257 14104740771 42314222313