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14066908816 = 2414921992
BaseRepresentation
bin11010001100111001…
…11111111010010000
31100022100101000012211
431012130333322100
5212302112040231
610243502401504
71005406515652
oct150634777220
940270330184
1014066908816
115a69448884
122886b90294
1314324376ac
149763326d2
15574e4ceb1
hex34673fe90

14066908816 has 45 divisors (see below), whose sum is σ = 27577356681. Its totient is φ = 6951143232.

The previous prime is 14066908787. The next prime is 14066908831. The reversal of 14066908816 is 61880966041.

The square root of 14066908816 is 118604.

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., 1648035216 + 12418873600 = 40596^2 + 111440^2 .

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 14066908816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70687885 + ... + 70688083.

Almost surely, 214066908816 is an apocalyptic number.

14066908816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14066908816 is the 118604-th square number.

It is an amenable number.

14066908816 is a deficient number, since it is larger than the sum of its proper divisors (13510447865).

14066908816 is an frugal number, since it uses more digits than its factorization.

14066908816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

Multiplying 14066908816 by its sum of digits (49), we get a square (689278531984 = 8302282).

The spelling of 14066908816 in words is "fourteen billion, sixty-six million, nine hundred eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 149 199 298 398 596 796 1192 1592 2384 3184 22201 29651 39601 44402 59302 79202 88804 118604 158404 177608 237208 316808 355216 474416 633616 4417999 5900549 8835998 11801098 17671996 23602196 35343992 47204392 70687984 94408784 879181801 1758363602 3516727204 7033454408 14066908816