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14041114392 = 23343132710253
BaseRepresentation
bin11010001001110101…
…00110011100011000
31100020112211111220210
431010322212130120
5212224011130032
610241141451120
71004644334364
oct150472463430
940215744823
1014041114392
115a55930078
12287a410aa0
131429ca5a16
14972b3a2a4
15572a552cc
hex344ea6718

14041114392 has 64 divisors (see below), whose sum is σ = 35949703680. Its totient is φ = 4567635072.

The previous prime is 14041114391. The next prime is 14041114393. The reversal of 14041114392 is 29341114041.

It is an interprime number because it is at equal distance from previous prime (14041114391) and next prime (14041114393).

It is a super-3 number, since 3×140411143923 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14041114391) 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, 1364338 + ... + 1374590.

It is an arithmetic number, because the mean of its divisors is an integer number (561714120).

Almost surely, 214041114392 is an apocalyptic number.

14041114392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14041114392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17974851840).

14041114392 is an abundant number, since it is smaller than the sum of its proper divisors (21908589288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14041114392 is a wasteful number, since it uses less digits than its factorization.

14041114392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11632 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 14041114392 in words is "fourteen billion, forty-one million, one hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1327 2654 3981 5308 7962 10253 10616 15924 20506 30759 31848 41012 57061 61518 82024 114122 123036 171183 228244 246072 342366 440879 456488 684732 881758 1322637 1369464 1763516 2645274 3527032 5290548 10581096 13605731 27211462 40817193 54422924 81634386 108845848 163268772 326537544 585046433 1170092866 1755139299 2340185732 3510278598 4680371464 7020557196 14041114392