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14514166141541 = 1164117531174247
BaseRepresentation
bin1101001100110101011110…
…1101111001001001100101
31220101112121012020012220222
43103031113231321021211
53400300003013012131
650511414343534125
73025420365424223
oct323152755711145
956345535205828
1014514166141541
114696472448980
121764b38a5a345
138138abc418a1
143826bcc55b13
151a283053187b
hexd3357b79265

14514166141541 has 16 divisors (see below), whose sum is σ = 15867397162368. Its totient is φ = 13166585548800.

The previous prime is 14514166141499. The next prime is 14514166141609.

It is a happy number.

14514166141541 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14514166141541 - 218 = 14514165879397 is a prime.

It is a super-2 number, since 2×145141661415412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14514166141492 and 14514166141501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14514166141841) 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, 11773280 + ... + 12947526.

It is an arithmetic number, because the mean of its divisors is an integer number (991712322648).

Almost surely, 214514166141541 is an apocalyptic number.

14514166141541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14514166141541 is a deficient number, since it is larger than the sum of its proper divisors (1353231020827).

14514166141541 is a wasteful number, since it uses less digits than its factorization.

14514166141541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176652.

The product of its digits is 230400, while the sum is 44.

It can be divided in two parts, 1451416 and 6141541, that added together give a palindrome (7592957).

The spelling of 14514166141541 in words is "fourteen trillion, five hundred fourteen billion, one hundred sixty-six million, one hundred forty-one thousand, five hundred forty-one".

Divisors: 1 11 641 1753 7051 19283 1123673 1174247 12360403 12916717 752692327 2058454991 8279615597 22643004901 1319469649231 14514166141541