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41317162238142 = 232717191015213579
BaseRepresentation
bin10010110010011111001101…
…10001110100000010111110
312102021212211002001111100100
421121033212301310002332
520403420022013110032
6223512501534141530
711463031540250010
oct1131174661640276
9172255732044310
1041317162238142
111218a567a4684a
1247736620518a6
131a0926517a6ab
14a2ba930d61b0
154b9b4a6b497c
hex2593e6c740be

41317162238142 has 96 divisors (see below), whose sum is σ = 114028789305600. Its totient is φ = 10525734376704.

The previous prime is 41317162238141. The next prime is 41317162238249. The reversal of 41317162238142 is 24183226171314.

41317162238142 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 7 + 1 + 622 + 3 + 8 + 14 + 2 = 666.

It is a super-2 number, since 2×413171622381422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41317162238141) 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, 507566092 + ... + 507647487.

It is an arithmetic number, because the mean of its divisors is an integer number (1187799888600).

Almost surely, 241317162238142 is an apocalyptic number.

41317162238142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

41317162238142 is an abundant number, since it is smaller than the sum of its proper divisors (72711627067458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41317162238142 is a wasteful number, since it uses less digits than its factorization.

41317162238142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015213630 (or 1015213627 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 41317162238142 in words is "forty-one trillion, three hundred seventeen billion, one hundred sixty-two million, two hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 5814 6783 13566 20349 40698 1015213579 2030427158 3045640737 6091281474 7106495053 9136922211 14212990106 17258630843 18273844422 19289058001 21319485159 34517261686 38578116002 42638970318 51775892529 57867174003 63958455477 103551785058 115734348006 120810415901 127916910954 135023406007 155327677587 173601522009 241620831802 270046812014 310655355174 327913986017 347203044018 362431247703 405070218021 655827972034 724862495406 810140436042 983741958051 1087293743109 1215210654063 1967483916102 2174587486218 2295397902119 2430421308126 2951225874153 4590795804238 5902451748306 6886193706357 13772387412714 20658581119071 41317162238142