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14135336352 = 253331527753
BaseRepresentation
bin11010010101000100…
…00001110110100000
31100111010010111011000
431022202001312200
5212422121230402
610254345152000
71010200243104
oct151242016640
940433114130
1014135336352
115aa4035465
1228a5a8b600
131443675567
14981465904
1557ae67c1c
hex34a881da0

14135336352 has 96 divisors (see below), whose sum is σ = 42558082560. Its totient is φ = 4559777280.

The previous prime is 14135336351. The next prime is 14135336377. The reversal of 14135336352 is 25363353141.

14135336352 is a `hidden beast` number, since 1 + 4 + 13 + 5 + 3 + 3 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14135336351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237093 + ... + 290660.

It is an arithmetic number, because the mean of its divisors is an integer number (443313360).

Almost surely, 214135336352 is an apocalyptic number.

14135336352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14135336352 is an abundant number, since it is smaller than the sum of its proper divisors (28422746208).

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

14135336352 is a wasteful number, since it uses less digits than its factorization.

14135336352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527803 (or 527789 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 14135336352 its reverse (25363353141), we get a palindrome (39498689493).

The spelling of 14135336352 in words is "fourteen billion, one hundred thirty-five million, three hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 527753 1055506 1583259 2111012 3166518 4222024 4749777 6333036 8444048 9499554 12666072 14249331 16360343 16888096 18999108 25332144 28498662 32720686 37998216 49081029 50664288 56997324 65441372 75996432 98162058 113994648 130882744 147243087 151992864 196324116 227989296 261765488 294486174 392648232 441729261 455978592 523530976 588972348 785296464 883458522 1177944696 1570592928 1766917044 2355889392 3533834088 4711778784 7067668176 14135336352