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14144413002012 = 22321723111785951
BaseRepresentation
bin1100110111010100000010…
…1101100110100100011100
31212002012012110110120012200
43031311000231212210130
53323220224212031022
650025504214531500
72656620511536666
oct315650055464434
955065173416180
1014144413002012
114563680439527
121705347366b90
137b7a73b7c027
1436c843bdb536
15197dde275bac
hexcdd40b6691c

14144413002012 has 36 divisors (see below), whose sum is σ = 37857105389376. Its totient is φ = 4437462902400.

The previous prime is 14144413001993. The next prime is 14144413002023. The reversal of 14144413002012 is 21020031444141.

14144413002012 is a `hidden beast` number, since 1 + 4 + 1 + 44 + 413 + 0 + 0 + 201 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×141444130020122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11555892364 + ... + 11555893587.

It is an arithmetic number, because the mean of its divisors is an integer number (1051586260816).

Almost surely, 214144413002012 is an apocalyptic number.

14144413002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14144413002012 is an abundant number, since it is smaller than the sum of its proper divisors (23712692387364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14144413002012 is a wasteful number, since it uses less digits than its factorization.

14144413002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23111785978 (or 23111785973 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14144413002012 its reverse (21020031444141), we get a palindrome (35164444446153).

The spelling of 14144413002012 in words is "fourteen trillion, one hundred forty-four billion, four hundred thirteen million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 23111785951 46223571902 69335357853 92447143804 138670715706 208006073559 277341431412 392900361167 416012147118 785800722334 832024294236 1178701083501 1571601444668 2357402167002 3536103250503 4714804334004 7072206501006 14144413002012