Search a number
-
+
41313200231412 = 223219292082738467
BaseRepresentation
bin10010110010010111110101…
…00111111101001111110100
312102021111120221211200212100
421121023322213331033310
520403333413224401122
6223511004442422100
711462531420612664
oct1131137247751764
9172244527750770
1041313200231412
111218891455251a
124772937201930
131a08a8339c305
14a2b7d8c321a4
154b99b7946aac
hex2592fa9fd3f4

41313200231412 has 72 divisors (see below), whose sum is σ = 113717520352800. Its totient is φ = 12596402242368.

The previous prime is 41313200231411. The next prime is 41313200231477. The reversal of 41313200231412 is 21413200231314.

41313200231412 is a `hidden beast` number, since 4 + 1 + 3 + 13 + 2 + 0 + 0 + 231 + 412 = 666.

It is a super-3 number, since 3×413132002314123 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41313200231411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041349398 + ... + 1041389069.

It is an arithmetic number, because the mean of its divisors is an integer number (1579410004900).

Almost surely, 241313200231412 is an apocalyptic number.

It is an amenable number.

41313200231412 is an abundant number, since it is smaller than the sum of its proper divisors (72404320121388).

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

41313200231412 is a wasteful number, since it uses less digits than its factorization.

41313200231412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082738525 (or 2082738520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 41313200231412 its reverse (21413200231314), we get a palindrome (62726400462726).

The spelling of 41313200231412 in words is "forty-one trillion, three hundred thirteen billion, two hundred million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 171 174 228 261 342 348 522 551 684 1044 1102 1653 2204 3306 4959 6612 9918 19836 2082738467 4165476934 6248215401 8330953868 12496430802 18744646203 24992861604 37489292406 39572030873 60399415543 74978584812 79144061746 118716092619 120798831086 158288123492 181198246629 237432185238 241597662172 356148277857 362396493258 474864370476 543594739887 712296555714 724792986516 1087189479774 1147588895317 1424593111428 2174378959548 2295177790634 3442766685951 4590355581268 6885533371902 10328300057853 13771066743804 20656600115706 41313200231412