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14314300016 = 241761214143
BaseRepresentation
bin11010101010011001…
…01110001001110000
31100221120212210010212
431111030232021300
5213303430100031
610324221043252
71014502354052
oct152514561160
940846783125
1014314300016
11608605a515
1229359b6528
131471775813
1499b12d8d2
1558ba1912b
hex35532e270

14314300016 has 60 divisors (see below), whose sum is σ = 29856767616. Its totient is φ = 6625244160.

The previous prime is 14314299997. The next prime is 14314300019. The reversal of 14314300016 is 61000341341.

It is a junction number, because it is equal to n+sod(n) for n = 14314299964 and 14314300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314300019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005041 + ... + 1019183.

Almost surely, 214314300016 is an apocalyptic number.

14314300016 is a gapful number since it is divisible by the number (16) 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 14314300016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14928383808).

14314300016 is an abundant number, since it is smaller than the sum of its proper divisors (15542467600).

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

14314300016 is a wasteful number, since it uses less digits than its factorization.

14314300016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14290 (or 14223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 14314300016 its reverse (61000341341), we get a palindrome (75314641357).

The spelling of 14314300016 in words is "fourteen billion, three hundred fourteen million, three hundred thousand, sixteen".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 3721 4148 7442 8296 14143 14884 16592 28286 29768 56572 59536 63257 113144 126514 226288 240431 253028 480862 506056 862723 961724 1012112 1725446 1923448 3450892 3846896 6901784 13803568 14666291 29332582 52626103 58665164 105252206 117330328 210504412 234660656 421008824 842017648 894643751 1789287502 3578575004 7157150008 14314300016