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140130031041 = 327111383193971
BaseRepresentation
bin1000001010000001100…
…1101001010111000001
3111101200220101010210200
42002200121221113001
54243441241443131
6144212544515413
713060360416360
oct2024031512701
9441626333720
10140130031041
1154479827410
12231a931bb69
13102a27bb940
146ad49d97d7
1539a23592e6
hex20a06695c1

140130031041 has 192 divisors, whose sum is σ = 276751448064. Its totient is φ = 65973657600.

The previous prime is 140130031031. The next prime is 140130031121.

140130031041 is a `hidden beast` number, since 14 + 0 + 1 + 300 + 310 + 41 = 666.

140130031041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 140130031041 - 210 = 140130030017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140130031001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144314686 + ... + 144315656.

It is an arithmetic number, because the mean of its divisors is an integer number (1441413792).

Almost surely, 2140130031041 is an apocalyptic number.

140130031041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140130031041 is a deficient number, since it is larger than the sum of its proper divisors (136621417023).

140130031041 is a wasteful number, since it uses less digits than its factorization.

140130031041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1401300 and 31041, that added together give a palindrome (1432341).

The spelling of 140130031041 in words is "one hundred forty billion, one hundred thirty million, thirty-one thousand, forty-one".