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14140279517 = 72132472773
BaseRepresentation
bin11010010101101001…
…11000101011011101
31100111110102121220012
431022310320223131
5212424402421032
610255043133005
71010260251500
oct151264705335
940443377805
1014140279517
115aa6901321
1228a7674165
1314446b6500
14981d91137
1557b5e26b2
hex34ad38add

14140279517 has 54 divisors (see below), whose sum is σ = 18222101658. Its totient is φ = 10935707328.

The previous prime is 14140279513. The next prime is 14140279523. The reversal of 14140279517 is 71597204141.

It can be written as a sum of positive squares in 3 ways, for example, as 956417476 + 13183862041 = 30926^2 + 114821^2 .

It is not a de Polignac number, because 14140279517 - 22 = 14140279513 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14140279513) 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 53 ways as a sum of consecutive naturals, for example, 18292343 + ... + 18293115.

It is an arithmetic number, because the mean of its divisors is an integer number (337446327).

Almost surely, 214140279517 is an apocalyptic number.

It is an amenable number.

14140279517 is a deficient number, since it is larger than the sum of its proper divisors (4081822141).

14140279517 is an equidigital number, since it uses as much as digits as its factorization.

14140279517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 14140279517 in words is "fourteen billion, one hundred forty million, two hundred seventy-nine thousand, five hundred seventeen".

Divisors: 1 7 13 47 49 91 169 329 611 637 773 1183 2209 2303 4277 5411 7943 8281 10049 15463 28717 29939 36331 37877 55601 70343 108241 130637 201019 254317 373321 389207 472303 492401 914459 1407133 1707557 1780219 2613247 3306121 6139939 6401213 11952899 18292729 22198241 23142847 42979573 83670293 155387687 288577133 300857011 1087713809 2020039931 14140279517