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14251134135444 = 2232361783686457
BaseRepresentation
bin1100111101100001100111…
…0010011010110010010100
31212110101200001002212020020
43033120121302122302110
53331442310314313234
650150514115105140
73000416250314463
oct317303162326224
955411601085206
1014251134135444
1145a4965769658
121721b6bba21b0
137c4b50c85bab
14373a897469da
1519aa88592549
hexcf619c9ac94

14251134135444 has 48 divisors (see below), whose sum is σ = 34754651261568. Its totient is φ = 4536475406848.

The previous prime is 14251134135443. The next prime is 14251134135449. The reversal of 14251134135444 is 44453143115241.

14251134135444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14251134135396 and 14251134135405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14251134135443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41672937 + ... + 42013520.

It is an arithmetic number, because the mean of its divisors is an integer number (724055234616).

Almost surely, 214251134135444 is an apocalyptic number.

It is an amenable number.

14251134135444 is an abundant number, since it is smaller than the sum of its proper divisors (20503517126124).

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

14251134135444 is a wasteful number, since it uses less digits than its factorization.

14251134135444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83687104 (or 83687102 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 14251134135444 in words is "fourteen trillion, two hundred fifty-one billion, one hundred thirty-four million, one hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 617 1234 1851 2468 3702 7404 14191 28382 42573 56764 85146 170292 83686457 167372914 251059371 334745828 502118742 1004237484 1924788511 3849577022 5774365533 7699154044 11548731066 23097462132 51634543969 103269087938 154903631907 206538175876 309807263814 619614527628 1187594511287 2375189022574 3562783533861 4750378045148 7125567067722 14251134135444