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14460513141 = 319424359791
BaseRepresentation
bin11010111011110100…
…11110101101110101
31101022210000011211210
431131322132231311
5214103342410031
610350522552033
71021226222304
oct153572365565
941283004753
1014460513141
116150645608
122976968619
131495b49b69
149b271043b
1559979b746
hex35de9eb75

14460513141 has 16 divisors (see below), whose sum is σ = 20300579840. Its totient is φ = 9130650480.

The previous prime is 14460513139. The next prime is 14460513161. The reversal of 14460513141 is 14131506441.

It is not a de Polignac number, because 14460513141 - 21 = 14460513139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14460513099 and 14460513108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14460513131) 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 15 ways as a sum of consecutive naturals, for example, 211956 + ... + 271746.

It is an arithmetic number, because the mean of its divisors is an integer number (1268786240).

Almost surely, 214460513141 is an apocalyptic number.

It is an amenable number.

14460513141 is a deficient number, since it is larger than the sum of its proper divisors (5840066699).

14460513141 is a wasteful number, since it uses less digits than its factorization.

14460513141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64056.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 14460513141 in words is "fourteen billion, four hundred sixty million, five hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 19 57 4243 12729 59791 80617 179373 241851 1136029 3408087 253693213 761079639 4820171047 14460513141