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14399680032 = 2532199725037
BaseRepresentation
bin11010110100100100…
…11010111000100000
31101011112112112111200
431122102122320200
5213442304230112
610340511041200
71016560155303
oct153222327040
941145475450
1014399680032
11611a275811
12295a510200
13148636a93a
149a85d6b3a
15594281cdc
hex35a49ae20

14399680032 has 72 divisors (see below), whose sum is σ = 40971231756. Its totient is φ = 4797298176.

The previous prime is 14399679991. The next prime is 14399680033. The reversal of 14399680032 is 23008699341.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13004209296 + 1395470736 = 114036^2 + 37356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 14399680032.

It is not an unprimeable number, because it can be changed into a prime (14399680033) 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, 562618 + ... + 587654.

Almost surely, 214399680032 is an apocalyptic number.

14399680032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14399680032 is an abundant number, since it is smaller than the sum of its proper divisors (26571551724).

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

14399680032 is a wasteful number, since it uses less digits than its factorization.

14399680032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27050 (or 27039 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

It can be divided in two parts, 14399 and 680032, that added together give a triangular number (694431 = T1178).

The spelling of 14399680032 in words is "fourteen billion, three hundred ninety-nine million, six hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1997 3994 5991 7988 11982 15976 17973 23964 25037 31952 35946 47928 50074 63904 71892 75111 95856 100148 143784 150222 191712 200296 225333 287568 300444 400592 450666 575136 600888 801184 901332 1201776 1802664 2403552 3605328 7210656 49998889 99997778 149996667 199995556 299993334 399991112 449990001 599986668 799982224 899980002 1199973336 1599964448 1799960004 2399946672 3599920008 4799893344 7199840016 14399680032