Search a number
-
+
14311700256 = 2537107199039
BaseRepresentation
bin11010101010000101…
…10011011100100000
31100221101222200221110
431111002303130200
5213302243402011
610324045223320
71014441305430
oct152502633440
940841880843
1014311700256
116084644257
122934b61b40
1314710753b9
1499aa542c0
1558b6a3ba6
hex3550b3720

14311700256 has 96 divisors (see below), whose sum is σ = 43336581120. Its totient is φ = 4050821376.

The previous prime is 14311700147. The next prime is 14311700261. The reversal of 14311700256 is 65200711341.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27616 + ... + 171423.

It is an arithmetic number, because the mean of its divisors is an integer number (451422720).

Almost surely, 214311700256 is an apocalyptic number.

14311700256 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 14311700256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21668290560).

14311700256 is an abundant number, since it is smaller than the sum of its proper divisors (29024880864).

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

14311700256 is a wasteful number, since it uses less digits than its factorization.

14311700256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199166 (or 199158 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 14311700256 in words is "fourteen billion, three hundred eleven million, seven hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3424 4494 5136 5992 8988 10272 11984 17976 23968 35952 71904 199039 398078 597117 796156 1194234 1393273 1592312 2388468 2786546 3184624 4179819 4776936 5573092 6369248 8359638 9553872 11146184 16719276 19107744 21297173 22292368 33438552 42594346 44584736 63891519 66877104 85188692 127783038 133754208 149080211 170377384 255566076 298160422 340754768 447240633 511132152 596320844 681509536 894481266 1022264304 1192641688 1788962532 2044528608 2385283376 3577925064 4770566752 7155850128 14311700256