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131344345154214 = 2335623580174567
BaseRepresentation
bin11101110111010011111101…
…000010010100001010100110
3122020001101201020120222112000
4131313103331002110022212
5114203421204324413324
61143202431552110130
736444213213033063
oct3567237502241246
9566041636528460
10131344345154214
11389399077770a5
12128934b7535346
135839945a00c3a
142461159033c6a
15102b87b6a89c9
hex7774fd0942a6

131344345154214 has 64 divisors (see below), whose sum is σ = 291982469575680. Its totient is φ = 43765529428800.

The previous prime is 131344345154179. The next prime is 131344345154219. The reversal of 131344345154214 is 412451543443131.

131344345154214 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 4 + 43 + 4 + 51 + 542 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131344345154214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131344345154219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1761389959 + ... + 1761464525.

It is an arithmetic number, because the mean of its divisors is an integer number (4562226087120).

Almost surely, 2131344345154214 is an apocalyptic number.

131344345154214 is an abundant number, since it is smaller than the sum of its proper divisors (160638124421466).

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

131344345154214 is a wasteful number, since it uses less digits than its factorization.

131344345154214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86002 (or 85996 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

Adding to 131344345154214 its reverse (412451543443131), we get a palindrome (543795888597345).

The spelling of 131344345154214 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred forty-five million, one hundred fifty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 5623 5801 11246 11602 16869 17403 33738 34806 50607 52209 74567 101214 104418 149134 151821 156627 223701 303642 313254 447402 671103 1342206 2013309 4026618 32619023 65238046 97857069 195714138 293571207 419290241 432563167 587142414 838580482 865126334 880713621 1257870723 1297689501 1761427242 2515741446 2595379002 3773612169 3893068503 7547224338 7786137006 11320836507 11679205509 22641673014 23358411018 2432302688041 4864605376082 7296908064123 14593816128246 21890724192369 43781448384738 65672172577107 131344345154214