Search a number
-
+
14048955216 = 2432417723357
BaseRepresentation
bin11010001010110001…
…00000101101010000
31100021002120212111200
431011120200231100
5212233013031331
610242021511200
71005101102052
oct150530405520
940232525450
1014048955216
115a5a2a5a9a
122880b72500
13142b7bc86a
14973bbb8d2
155735a35e6
hex345620b50

14048955216 has 60 divisors (see below), whose sum is σ = 39328658772. Its totient is φ = 4681663488.

The previous prime is 14048955191. The next prime is 14048955247. The reversal of 14048955216 is 61255984041.

14048955216 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 89 + 552 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12267777600 + 1781177616 = 110760^2 + 42204^2 .

It is a super-2 number, since 2×140489552162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 589810 + ... + 613166.

Almost surely, 214048955216 is an apocalyptic number.

14048955216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14048955216 is an abundant number, since it is smaller than the sum of its proper divisors (25279703556).

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

14048955216 is a wasteful number, since it uses less digits than its factorization.

14048955216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27548 (or 27539 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14048955216 in words is "fourteen billion, forty-eight million, nine hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4177 8354 12531 16708 23357 25062 33416 37593 46714 50124 66832 70071 75186 93428 100248 140142 150372 186856 200496 210213 280284 300744 373712 420426 560568 601488 840852 1121136 1681704 3363408 97562189 195124378 292686567 390248756 585373134 780497512 878059701 1170746268 1560995024 1756119402 2341492536 3512238804 4682985072 7024477608 14048955216