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14037248092 = 2271782935573
BaseRepresentation
bin11010001001010111…
…10110100001011100
31100020021120002100111
431010223312201130
5212222013414332
610240522535404
71004566432360
oct150453664134
940207502314
1014037248092
115a5372a28a
122879067564
131429250c7a
149724112a0
1557253e947
hex344af685c

14037248092 has 48 divisors (see below), whose sum is σ = 29762631360. Its totient is φ = 5655094272.

The previous prime is 14037248087. The next prime is 14037248107. The reversal of 14037248092 is 29084273041.

14037248092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376818 + ... + 412390.

It is an arithmetic number, because the mean of its divisors is an integer number (620054820).

Almost surely, 214037248092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14037248092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881315680).

14037248092 is an abundant number, since it is smaller than the sum of its proper divisors (15725383268).

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

14037248092 is a wasteful number, since it uses less digits than its factorization.

14037248092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36430 (or 36428 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 14037248092 in words is "fourteen billion, thirty-seven million, two hundred forty-eight thousand, ninety-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 829 1658 3316 5803 11606 14093 23212 28186 35573 56372 71146 98651 142292 197302 249011 394604 498022 604741 996044 1209482 2418964 4233187 8466374 16932748 29490017 58980034 117960068 206430119 412860238 501330289 825720476 1002660578 2005321156 3509312023 7018624046 14037248092