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14354511225345 = 325318989138341
BaseRepresentation
bin1101000011100010101110…
…0010101110001000000001
31212211021111120100010220200
43100320223202232020001
53340141014333202340
650310212120555413
73011036112141234
oct320705342561001
955737446303820
1014354511225345
114634794402345
12173a000922b69
13801817329585
14378a950cd41b
1519d5d900b330
hexd0e2b8ae201

14354511225345 has 12 divisors (see below), whose sum is σ = 24881152790676. Its totient is φ = 7655739320160.

The previous prime is 14354511225289. The next prime is 14354511225347. The reversal of 14354511225345 is 54352211545341.

14354511225345 is a `hidden beast` number, since 1 + 4 + 3 + 54 + 51 + 12 + 2 + 534 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1826033310864 + 12528477914481 = 1351308^2 + 3539559^2 .

It is not a de Polignac number, because 14354511225345 - 219 = 14354510701057 is a prime.

It is a super-2 number, since 2×143545112253452 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 318989138341 = 14354511225345 / (1 + 4 + 3 + 5 + 4 + 5 + 1 + 1 + 2 + 2 + 5 + 3 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 14354511225345.

It is not an unprimeable number, because it can be changed into a prime (14354511225347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159494569126 + ... + 159494569215.

It is an arithmetic number, because the mean of its divisors is an integer number (2073429399223).

Almost surely, 214354511225345 is an apocalyptic number.

14354511225345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14354511225345 is a deficient number, since it is larger than the sum of its proper divisors (10526641565331).

14354511225345 is a wasteful number, since it uses less digits than its factorization.

14354511225345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318989138352 (or 318989138349 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 14354511225345 in words is "fourteen trillion, three hundred fifty-four billion, five hundred eleven million, two hundred twenty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 318989138341 956967415023 1594945691705 2870902245069 4784837075115 14354511225345