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14390641521 = 3814812
BaseRepresentation
bin11010110011011111…
…11100001101110001
31101010220112100000000
431121233330031301
5213433001012041
610335545220213
71016420302044
oct153157741561
941126470000
1014390641521
116115161a73
122957491669
1314845248c9
149a7322c5b
15593598bb6
hex359bfc371

14390641521 has 27 divisors (see below), whose sum is σ = 21599449963. Its totient is φ = 9587283120.

The previous prime is 14390641519. The next prime is 14390641549. The reversal of 14390641521 is 12514609341.

It is a happy number.

The square root of 14390641521 is 119961.

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

14390641521 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 0 + 641 + 5 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6160523121 + 8230118400 = 78489^2 + 90720^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 14390641521 - 21 = 14390641519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14390641511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9716101 + ... + 9717581.

Almost surely, 214390641521 is an apocalyptic number.

14390641521 is the 119961-st square number.

14390641521 is the 59981-st centered octagonal number.

It is an amenable number.

14390641521 is a deficient number, since it is larger than the sum of its proper divisors (7208808442).

14390641521 is an frugal number, since it uses more digits than its factorization.

14390641521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 14390641521 by its sum of digits (36), we get a square (518063094756 = 7197662).

The spelling of 14390641521 in words is "fourteen billion, three hundred ninety million, six hundred forty-one thousand, five hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 1481 2187 4443 6561 13329 39987 119961 359883 1079649 2193361 3238947 6580083 9716841 19740249 59220747 177662241 532986723 1598960169 4796880507 14390641521