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14314686736 = 247242732
BaseRepresentation
bin11010101010011100…
…01100100100010000
31100221121121102121211
431111032030210100
5213304024433421
610324233225504
71014505554400
oct152516144420
940847542554
1014314686736
1160862a4019
122935b62294
13147187c84c
1499b1d0800
1558ba939e1
hex35538c910

14314686736 has 45 divisors (see below), whose sum is σ = 32270372901. Its totient is φ = 6133430016.

The previous prime is 14314686707. The next prime is 14314686761. The reversal of 14314686736 is 63768641341.

The square root of 14314686736 is 119644.

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

It can be written as a sum of positive squares in only one way, i.e., 3881290000 + 10433396736 = 62300^2 + 102144^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14314686736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3347896 + ... + 3352168.

Almost surely, 214314686736 is an apocalyptic number.

14314686736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14314686736 is the 119644-th square number.

It is an amenable number.

14314686736 is an abundant number, since it is smaller than the sum of its proper divisors (17955686165).

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

14314686736 is an frugal number, since it uses more digits than its factorization.

14314686736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 4282 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

Multiplying 14314686736 by its sum of digits (49), we get a square (701419650064 = 8375082).

14314686736 divided by its sum of digits (49) gives a square (292136464 = 170922).

The spelling of 14314686736 in words is "fourteen billion, three hundred fourteen million, six hundred eighty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4273 8546 17092 29911 34184 59822 68368 119644 209377 239288 418754 478576 837508 1675016 3350032 18258529 36517058 73034116 127809703 146068232 255619406 292136464 511238812 894667921 1022477624 1789335842 2044955248 3578671684 7157343368 14314686736