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14133333333141 = 32111311089778189
BaseRepresentation
bin1100110110101010110001…
…0100000001010010010101
31212001010121022010001211100
43031222230110001102111
53323030031313130031
650020432543100313
72656046114110251
oct315525424012225
955033538101740
1014133333333141
114559a052362a0
1217031748a1699
137b69c95abc49
1436c0b250d261
151979916eade6
hexcdaac501495

14133333333141 has 24 divisors (see below), whose sum is σ = 22440712488480. Its totient is φ = 8500269866400.

The previous prime is 14133333333107. The next prime is 14133333333181.

14133333333141 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 3 + 3 + 333 + 314 + 1 = 666.

14133333333141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14133333333141 - 217 = 14133333202069 is a prime.

It is a super-2 number, since 2×141333333331412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14133333333096 and 14133333333105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133333333181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544876126 + ... + 544902063.

It is an arithmetic number, because the mean of its divisors is an integer number (935029687020).

Almost surely, 214133333333141 is an apocalyptic number.

14133333333141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14133333333141 is a deficient number, since it is larger than the sum of its proper divisors (8307379155339).

14133333333141 is a wasteful number, since it uses less digits than its factorization.

14133333333141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089778337 (or 1089778334 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

It can be divided in two parts, 1413333 and 3333141, that added together give a palindrome (4746474).

The spelling of 14133333333141 in words is "fourteen trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 4323 12969 1089778189 3269334567 9808003701 11987560079 35962680237 107888040711 142760942759 428282828277 1284848484831 1570370370349 4711111111047 14133333333141