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140412010041 = 32157974910193
BaseRepresentation
bin1000001011000100110…
…1010011111000111001
3111102102112222011021100
42002301031103320321
54300030433310131
6144300540402013
713100353251522
oct2026115237071
9442375864240
10140412010041
1154603a12406
1223267846309
131031904a014
146b2023b849
1539bbea87e6
hex20b1353e39

140412010041 has 24 divisors (see below), whose sum is σ = 204150141000. Its totient is φ = 92993112576.

The previous prime is 140412010033. The next prime is 140412010087. The reversal of 140412010041 is 140010214041.

140412010041 is a `hidden beast` number, since 1 + 404 + 120 + 100 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 134890925625 = 74304^2 + 367275^2 .

It is not a de Polignac number, because 140412010041 - 23 = 140412010033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140412009996 and 140412010023.

It is not an unprimeable number, because it can be changed into a prime (140412017041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13770241 + ... + 13780433.

It is an arithmetic number, because the mean of its divisors is an integer number (8506255875).

Almost surely, 2140412010041 is an apocalyptic number.

It is an amenable number.

140412010041 is a deficient number, since it is larger than the sum of its proper divisors (63738130959).

140412010041 is a wasteful number, since it uses less digits than its factorization.

140412010041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20105 (or 20102 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 140412010041 its reverse (140010214041), we get a palindrome (280422224082).

The spelling of 140412010041 in words is "one hundred forty billion, four hundred twelve million, ten thousand, forty-one".

Divisors: 1 3 9 157 471 1413 9749 10193 29247 30579 87741 91737 1530593 1600301 4591779 4800903 13775337 14402709 99371557 298114671 894344013 15601334449 46804003347 140412010041