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14310379876 = 221324321072
BaseRepresentation
bin11010101001111011…
…10001000101100100
31100221022111121201111
431110331301011210
5213301424124001
610324001034404
71014424136062
oct152475610544
940838447644
1014310379876
116083922231
122934625a04
131470a02400
1499a7cd032
1558b4e2851
hex354f71164

14310379876 has 81 divisors (see below), whose sum is σ = 28024950681. Its totient is φ = 6390899424.

The previous prime is 14310379843. The next prime is 14310379877. The reversal of 14310379876 is 67897301341.

The square root of 14310379876 is 119626.

It is a perfect power (a square), and thus also a powerful number.

14310379876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2116920100 + 12193459776 = 46010^2 + 110424^2 .

It is not an unprimeable number, because it can be changed into a prime (14310379877) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 133741815 + ... + 133741921.

Almost surely, 214310379876 is an apocalyptic number.

14310379876 is the 119626-th square number.

It is an amenable number.

14310379876 is a deficient number, since it is larger than the sum of its proper divisors (13714570805).

14310379876 is a wasteful number, since it uses less digits than its factorization.

14310379876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 14310379876 by its sum of digits (49), we get a square (701208613924 = 8373822).

The spelling of 14310379876 in words is "fourteen billion, three hundred ten million, three hundred seventy-nine thousand, eight hundred seventy-six".

Divisors: 1 2 4 13 26 43 52 86 107 169 172 214 338 428 559 676 1118 1391 1849 2236 2782 3698 4601 5564 7267 7396 9202 11449 14534 18083 18404 22898 24037 29068 36166 45796 48074 59813 72332 96148 119626 148837 197843 239252 297674 312481 395686 492307 595348 624962 777569 791372 984614 1249924 1555138 1934881 1969228 2571959 3110276 3869762 5143918 6399991 7739524 10287836 12799982 21169201 25599964 33435467 42338402 66870934 83199883 84676804 133741868 166399766 275199613 332799532 550399226 1100798452 3577594969 7155189938 14310379876