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1041142431033 = 3338560830779
BaseRepresentation
bin11110010011010001110…
…11001011110100111001
310200112101000011110202000
433021220323023310321
5114024224430243113
62114143315331213
7135135323434365
oct17115073136471
93615330143660
101041142431033
1137160083a311
121499445b0b09
1377243c36ca3
143856a63a2a5
151c1386b6373
hexf268ecbd39

1041142431033 has 8 divisors (see below), whose sum is σ = 1542433231200. Its totient is φ = 694094954004.

The previous prime is 1041142431029. The next prime is 1041142431073. The reversal of 1041142431033 is 3301342411401.

1041142431033 is a `hidden beast` number, since 1 + 0 + 411 + 4 + 243 + 1 + 0 + 3 + 3 = 666.

It is not a de Polignac number, because 1041142431033 - 22 = 1041142431029 is a prime.

It is a super-3 number, since 3×10411424310333 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 38560830779 = 1041142431033 / (1 + 0 + 4 + 1 + 1 + 4 + 2 + 4 + 3 + 1 + 0 + 3 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1041142430988 and 1041142431006.

It is not an unprimeable number, because it can be changed into a prime (1041142431073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19280415363 + ... + 19280415416.

It is an arithmetic number, because the mean of its divisors is an integer number (192804153900).

Almost surely, 21041142431033 is an apocalyptic number.

It is an amenable number.

1041142431033 is a deficient number, since it is larger than the sum of its proper divisors (501290800167).

1041142431033 is an equidigital number, since it uses as much as digits as its factorization.

1041142431033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38560830788 (or 38560830782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1041142431033 its reverse (3301342411401), we get a palindrome (4342484842434).

The spelling of 1041142431033 in words is "one trillion, forty-one billion, one hundred forty-two million, four hundred thirty-one thousand, thirty-three".

Divisors: 1 3 9 27 38560830779 115682492337 347047477011 1041142431033