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41142433332231 = 32711255772321171
BaseRepresentation
bin10010101101011001110000…
…00111111011110000000111
312101200011210220210101211200
421112230320013323300013
520343034200413112411
6223300323431233543
711444304565123110
oct1126547007736007
9171604726711750
1041142433332231
1112122454042680
1247458198188b3
1319c593a5b183a
14a234393a9207
154b5320b11e56
hex256b381fbc07

41142433332231 has 48 divisors (see below), whose sum is σ = 74094929895168. Its totient is φ = 21371847811200.

The previous prime is 41142433332223. The next prime is 41142433332241. The reversal of 41142433332231 is 13223333424114.

41142433332231 is a `hidden beast` number, since 4 + 1 + 1 + 424 + 3 + 3 + 3 + 3 + 223 + 1 = 666.

It is not a de Polignac number, because 41142433332231 - 23 = 41142433332223 is a prime.

It is a super-2 number, since 2×411424333322312 (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 (41142433332241) 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, 16564276 + ... + 18885446.

It is an arithmetic number, because the mean of its divisors is an integer number (1543644372816).

Almost surely, 241142433332231 is an apocalyptic number.

41142433332231 is a deficient number, since it is larger than the sum of its proper divisors (32952496562937).

41142433332231 is a wasteful number, since it uses less digits than its factorization.

41142433332231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346772 (or 2346769 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 41142433332231 its reverse (13223333424114), we get a palindrome (54365766756345).

The spelling of 41142433332231 in words is "forty-one trillion, one hundred forty-two billion, four hundred thirty-three million, three hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 25577 76731 179039 230193 281347 537117 844041 1611351 1969429 2321171 2532123 5908287 6963513 16248197 17724861 20890539 25532881 48744591 76598643 146233773 178730167 229795929 536190501 1608571503 59368590667 178105772001 415580134669 534317316003 653054497337 1246740404007 1959163492011 3740221212021 4571381481359 5877490476033 13714144444077 41142433332231