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40124131142103 = 33172312729926877
BaseRepresentation
bin10010001111110001000001…
…00101010110100111010111
312021001211101200120101102000
421013320200211112213113
520224343210033021403
6221200434341250343
711310605242251141
oct1107704045264727
9167054350511360
1040124131142103
111186a603aa5418
1246003aa4039b3
1319508c65cbac8
149ca038351c91
15498ac26ee7a3
hex247e209569d7

40124131142103 has 64 divisors (see below), whose sum is σ = 66193465835520. Its totient is φ = 23891702478336.

The previous prime is 40124131142083. The next prime is 40124131142107. The reversal of 40124131142103 is 30124113142104.

It is a happy number.

40124131142103 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 413 + 1 + 142 + 103 = 666.

40124131142103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40124131142103 - 222 = 40124126947799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40124131142107) 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 63 ways as a sum of consecutive naturals, for example, 13622700 + ... + 16304177.

It is an arithmetic number, because the mean of its divisors is an integer number (1034272903680).

Almost surely, 240124131142103 is an apocalyptic number.

40124131142103 is a deficient number, since it is larger than the sum of its proper divisors (26069334693417).

40124131142103 is a wasteful number, since it uses less digits than its factorization.

40124131142103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29927053 (or 29927047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40124131142103 its reverse (30124113142104), we get a palindrome (70248244284207).

The spelling of 40124131142103 in words is "forty trillion, one hundred twenty-four billion, one hundred thirty-one million, one hundred forty-two thousand, one hundred three".

Divisors: 1 3 9 17 23 27 51 69 127 153 207 381 391 459 621 1143 1173 2159 2921 3429 3519 6477 8763 10557 19431 26289 49657 58293 78867 148971 446913 1340739 29926877 89780631 269341893 508756909 688318171 808025679 1526270727 2064954513 3800713379 4578812181 6194863539 11402140137 11701408907 13736436543 18584590617 34206420411 35104226721 64612127443 87416407717 102619261233 105312680163 193836382329 262249223151 315938040489 581509146987 786747669453 1486078931189 1744527440961 2360243008359 4458236793567 13374710380701 40124131142103