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31141322332344 = 233274180140927
BaseRepresentation
bin1110001010010101001110…
…11101001001100010111000
311002021002012022000111200100
413011022213131021202320
513040204412004113334
6150122043113435400
76362612666220000
oct705124735114270
9132232168014610
1031141322332344
119a16a62670a34
1235ab491a0bb60
13144b7ca223943
147993688b7000
153900cd3b3c99
hex1c52a77498b8

31141322332344 has 120 divisors (see below), whose sum is σ = 98392074168960. Its totient is φ = 8897520616992.

The previous prime is 31141322332339. The next prime is 31141322332403. The reversal of 31141322332344 is 44323322314113.

31141322332344 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 1 + 322 + 3 + 323 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31141322332299 and 31141322332308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89897592 + ... + 90243335.

It is an arithmetic number, because the mean of its divisors is an integer number (819933951408).

Almost surely, 231141322332344 is an apocalyptic number.

It is an amenable number.

31141322332344 is an abundant number, since it is smaller than the sum of its proper divisors (67250751836616).

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

31141322332344 is a wasteful number, since it uses less digits than its factorization.

31141322332344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180140967 (or 180140939 counting only the distinct ones).

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

Adding to 31141322332344 its reverse (44323322314113), we get a palindrome (75464644646457).

The spelling of 31141322332344 in words is "thirty-one trillion, one hundred forty-one billion, three hundred twenty-two million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2401 2744 3087 3528 4116 4802 6174 7203 8232 9604 12348 14406 19208 21609 24696 28812 43218 57624 86436 172872 180140927 360281854 540422781 720563708 1080845562 1260986489 1441127416 1621268343 2161691124 2521972978 3242536686 3782959467 4323382248 5043945956 6485073372 7565918934 8826905423 10087891912 11348878401 12970146744 15131837868 17653810846 22697756802 26480716269 30263675736 35307621692 45395513604 52961432538 61788337961 70615243384 79442148807 90791027208 105922865076 123576675922 158884297614 185365013883 211845730152 247153351844 317768595228 370730027766 432518365727 494306703688 556095041649 635537190456 741460055532 865036731454 1112190083298 1297555097181 1482920111064 1730073462908 2224380166596 2595110194362 3460146925816 3892665291543 4448760333192 5190220388724 7785330583086 10380440777448 15570661166172 31141322332344