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11141431341318 = 234832671310223
BaseRepresentation
bin1010001000100001000100…
…0011101011000100000110
31110110002222111200020020000
42202020101003223010012
52430020122410410233
635410145232022130
72226641024561355
oct242102103530406
943402874606200
1011141431341318
113606066598a63
1212bb34a991946
1362a82b6b9175
142a7368d1399c
15144c32db1d13
hexa22110eb106

11141431341318 has 80 divisors (see below), whose sum is σ = 25275383755776. Its totient is φ = 3667680252720.

The previous prime is 11141431341163. The next prime is 11141431341319. The reversal of 11141431341318 is 81314313414111.

11141431341318 is a `hidden beast` number, since 1 + 1 + 14 + 14 + 313 + 4 + 1 + 318 = 666.

It is a super-2 number, since 2×111414313413182 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141431341319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35759155 + ... + 36069377.

Almost surely, 211141431341318 is an apocalyptic number.

11141431341318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141431341318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637691877888).

11141431341318 is an abundant number, since it is smaller than the sum of its proper divisors (14133952414458).

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

11141431341318 is a wasteful number, since it uses less digits than its factorization.

11141431341318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312991 (or 312982 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 11141431341318 its reverse (81314313414111), we get a palindrome (92455744755429).

The spelling of 11141431341318 in words is "eleven trillion, one hundred forty-one billion, four hundred thirty-one million, three hundred forty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 1494 2241 2671 4482 5342 6723 8013 13446 16026 24039 48078 72117 144234 216351 221693 310223 432702 443386 620446 665079 930669 1330158 1861338 1995237 2792007 3990474 5584014 5985711 8376021 11971422 16752042 17957133 25128063 25748509 35914266 50256126 51497018 77245527 154491054 231736581 463473162 695209743 828605633 1390419486 1657211266 2085629229 2485816899 4171258458 4971633798 7457450697 14914901394 22372352091 44744704182 67117056273 68774267539 134234112546 137548535078 206322802617 412645605234 618968407851 1237936815702 1856905223553 3713810447106 5570715670659 11141431341318