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31042345810959 = 337199419917771
BaseRepresentation
bin1110000111011100110111…
…11111101011110000001111
311001220121201110020021011000
413003232123333223300033
513032044211011422314
6150004353511231343
76352510160530110
oct703563377536017
9131817643207130
1031042345810959
119988a91a3552a
12359426a978553
131442385781c62
14794659756207
1538c738e47209
hex1c3b9bfebc0f

31042345810959 has 64 divisors (see below), whose sum is σ = 55330638336000. Its totient is φ = 16803076479840.

The previous prime is 31042345810943. The next prime is 31042345810999. The reversal of 31042345810959 is 95901854324013.

31042345810959 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 2 + 3 + 4 + 581 + 0 + 9 + 59 = 666.

It is not a de Polignac number, because 31042345810959 - 24 = 31042345810943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31042345810999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33364744 + ... + 34282514.

It is an arithmetic number, because the mean of its divisors is an integer number (864541224000).

Almost surely, 231042345810959 is an apocalyptic number.

31042345810959 is a deficient number, since it is larger than the sum of its proper divisors (24288292525041).

31042345810959 is a wasteful number, since it uses less digits than its factorization.

31042345810959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927225 (or 927219 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 31042345810959 in words is "thirty-one trillion, forty-two billion, three hundred forty-five million, eight hundred ten thousand, nine hundred fifty-nine".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 9419 28257 65933 84771 178961 197799 254313 536883 593397 917771 1252727 1610649 1780191 2753313 3758181 4831947 6424397 8259939 11274543 17437649 19273191 24779817 33823629 52312947 57819573 122063543 156938841 173458719 366190629 470816523 1098571887 3295715661 8644485049 25933455147 60511395343 77800365441 164245215931 181534186029 233401096323 492735647793 544602558087 1149716511517 1478206943379 1633807674261 3449149534551 4434620830137 10347448603653 31042345810959