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12144014181 = 351367181317
BaseRepresentation
bin10110100111101011…
…01111001101100101
31011100100002211200000
423103311233031211
5144332331423211
65325012211513
7606640263105
oct132365571545
934310084600
1012144014181
115171a85662
12242b009b99
1311b6c49010
14832bc9205
154b121b656
hex2d3d6f365

12144014181 has 96 divisors (see below), whose sum is σ = 20055654528. Its totient is φ = 7297931520.

The previous prime is 12144014159. The next prime is 12144014257. The reversal of 12144014181 is 18141044121.

12144014181 is a `hidden beast` number, since 1 + 2 + 1 + 440 + 141 + 81 = 666.

It is not a de Polignac number, because 12144014181 - 26 = 12144014117 is a prime.

It is a super-2 number, since 2×121440141812 (a number of 21 digits) contains 22 as substring.

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 (12144014101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38309035 + ... + 38309351.

It is an arithmetic number, because the mean of its divisors is an integer number (208913068).

Almost surely, 212144014181 is an apocalyptic number.

It is an amenable number.

12144014181 is a deficient number, since it is larger than the sum of its proper divisors (7911640347).

12144014181 is a wasteful number, since it uses less digits than its factorization.

12144014181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 12144014181 in words is "twelve billion, one hundred forty-four million, fourteen thousand, one hundred eighty-one".

Divisors: 1 3 9 13 27 39 67 81 117 181 201 243 317 351 543 603 871 951 1053 1629 1809 2353 2613 2853 3159 4121 4887 5427 7059 7839 8559 12127 12363 14661 16281 21177 21239 23517 25677 36381 37089 43983 57377 63531 63717 70551 77031 109143 111267 157651 172131 190593 191151 211653 276107 327429 333801 472953 516393 571779 573453 745901 828321 982287 1001403 1418859 1549179 1720359 2237703 2484963 2946861 3844259 4256577 4647537 5161077 6713109 7454889 11532777 12769731 13942611 20139327 22364667 34598331 38309193 49975367 60417981 67094001 103794993 149926101 181253943 311384979 449778303 934154937 1349334909 4048004727 12144014181