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42314210304201 = 321115711326720507
BaseRepresentation
bin10011001111100000010110…
…11110010110000011001001
312112211012101001220010201200
421213300023132112003021
521021234000314213301
6225554514014334413
711625046402054443
oct1147601336260311
9175735331803650
1042314210304201
11125343a0651010
1248b493b4ba409
131a7c29c9c0a54
14a64039489493
154d5a52bcdc86
hex267c0b7960c9

42314210304201 has 48 divisors (see below), whose sum is σ = 66727662513408. Its totient is φ = 25625470543200.

The previous prime is 42314210304193. The next prime is 42314210304251. The reversal of 42314210304201 is 10240301241324.

42314210304201 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 421 + 0 + 30 + 4 + 201 = 666.

It is not a de Polignac number, because 42314210304201 - 23 = 42314210304193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42314210304251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063392990 + ... + 2063413496.

It is an arithmetic number, because the mean of its divisors is an integer number (1390159635696).

Almost surely, 242314210304201 is an apocalyptic number.

It is an amenable number.

42314210304201 is a deficient number, since it is larger than the sum of its proper divisors (24413452209207).

42314210304201 is a wasteful number, since it uses less digits than its factorization.

42314210304201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35362 (or 35359 counting only the distinct ones).

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

Adding to 42314210304201 its reverse (10240301241324), we get a palindrome (52554511545525).

The spelling of 42314210304201 in words is "forty-two trillion, three hundred fourteen billion, two hundred ten million, three hundred four thousand, two hundred one".

Divisors: 1 3 9 11 33 99 1571 4713 13267 14139 17281 20507 39801 51843 61521 119403 145937 155529 184563 225577 437811 676731 1313433 2030193 20842457 32216497 62527371 96649491 187582113 229267027 272066369 289948473 354381467 687801081 816199107 1063144401 2063403243 2448597321 2992730059 3189433203 8978190177 26934570531 427416265699 1282248797097 3846746391291 4701578922689 14104736768067 42314210304201