Search a number
-
+
32313140113041 = 32592331987131441
BaseRepresentation
bin1110101100011011111010…
…01111001110111010010001
311020102002212021220112121200
413112031331033032322101
513213404302332104131
6152420241315341413
76543355510055244
oct726157517167221
9136362767815550
1032313140113041
11a328a20212597
12375a6052b1869
131505167c20828
147d9d7017b25b
153b0813d422e6
hex1d637d3cee91

32313140113041 has 48 divisors (see below), whose sum is σ = 47693698153920. Its totient is φ = 21075312522240.

The previous prime is 32313140112989. The next prime is 32313140113057. The reversal of 32313140113041 is 14031104131323.

32313140113041 is a `hidden beast` number, since 3 + 2 + 31 + 314 + 0 + 11 + 304 + 1 = 666.

It is not a de Polignac number, because 32313140113041 - 29 = 32313140112529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32313140112996 and 32313140113014.

It is not an unprimeable number, because it can be changed into a prime (32313140113141) 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, 245771881 + ... + 245903321.

It is an arithmetic number, because the mean of its divisors is an integer number (993618711540).

Almost surely, 232313140113041 is an apocalyptic number.

It is an amenable number.

32313140113041 is a deficient number, since it is larger than the sum of its proper divisors (15380558040879).

32313140113041 is a wasteful number, since it uses less digits than its factorization.

32313140113041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133726 (or 133723 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 32313140113041 its reverse (14031104131323), we get a palindrome (46344244244364).

The spelling of 32313140113041 in words is "thirty-two trillion, three hundred thirteen billion, one hundred forty million, one hundred thirteen thousand, forty-one".

Divisors: 1 3 9 59 177 233 531 699 1987 2097 5961 13747 17883 41241 117233 123723 131441 351699 394323 462971 1055097 1182969 1388913 4166739 7755019 23265057 27315289 30625753 69795171 81945867 91877259 245837601 261173267 275631777 783519801 1806919427 2350559403 5420758281 15409222753 16262274843 46227668259 60853371211 138683004777 182560113633 547680340899 3590348901449 10771046704347 32313140113041