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14125644503541 = 326164140140049
BaseRepresentation
bin1100110110001110001000…
…0001011101100111110101
31212000101202110020001110200
43031203202001131213311
53322413304443103131
650013122000511113
72655354432122364
oct315434201354765
955011673201420
1014125644503541
11455671a08186a
12170178991b499
137b607267812c
1436b9832c57db
151976916b92e6
hexcd8e205d9f5

14125644503541 has 24 divisors (see below), whose sum is σ = 20770549152600. Its totient is φ = 9248267059200.

The previous prime is 14125644503539. The next prime is 14125644503567. The reversal of 14125644503541 is 14530544652141.

14125644503541 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 5 + 64 + 45 + 0 + 3 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41603760900 + 14084040742641 = 203970^2 + 3752871^2 .

It is not a de Polignac number, because 14125644503541 - 21 = 14125644503539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125644503441) 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 23 ways as a sum of consecutive naturals, for example, 19718116 + ... + 20421933.

It is an arithmetic number, because the mean of its divisors is an integer number (865439548025).

Almost surely, 214125644503541 is an apocalyptic number.

It is an amenable number.

14125644503541 is a deficient number, since it is larger than the sum of its proper divisors (6644904649059).

14125644503541 is a wasteful number, since it uses less digits than its factorization.

14125644503541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40140757 (or 40140754 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 14125644503541 in words is "fourteen trillion, one hundred twenty-five billion, six hundred forty-four million, five hundred three thousand, five hundred forty-one".

Divisors: 1 3 9 61 183 549 641 1923 5769 39101 117303 351909 40140049 120420147 361260441 2448542989 7345628967 22036886901 25729771409 77189314227 231567942681 1569516055949 4708548167847 14125644503541