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14024480625 = 325415792
BaseRepresentation
bin11010000111110110…
…01001011101110001
31100012101112102200100
431003323021131301
5212210231340000
610235345143013
71004353055421
oct150373113561
940171472610
1014024480625
115a474a9961
12287492aa69
13142670085c
1497084a481
1557136ba00
hex343ec9771

14024480625 has 45 divisors (see below), whose sum is σ = 25329917613. Its totient is φ = 7474986000.

The previous prime is 14024480611. The next prime is 14024480641. The reversal of 14024480625 is 52608442041.

The square root of 14024480625 is 118425.

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

14024480625 is a `hidden beast` number, since 1 + 4 + 0 + 24 + 4 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1099519281 + 12924961344 = 33159^2 + 113688^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 14024480625 - 25 = 14024480593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14024480625.

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 44 ways as a sum of consecutive naturals, for example, 8881086 + ... + 8882664.

Almost surely, 214024480625 is an apocalyptic number.

14024480625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14024480625 is the 118425-th square number.

14024480625 is the 59213-rd centered octagonal number.

It is an amenable number.

14024480625 is a deficient number, since it is larger than the sum of its proper divisors (11305436988).

14024480625 is an frugal number, since it uses more digits than its factorization.

14024480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 14024480625 by its sum of digits (36), we get a square (504881302500 = 7105502).

The spelling of 14024480625 in words is "fourteen billion, twenty-four million, four hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1579 1875 4737 5625 7895 14211 23685 39475 71055 118425 197375 355275 592125 986875 1776375 2493241 2960625 7479723 8881875 12466205 22439169 37398615 62331025 112195845 186993075 311655125 560979225 934965375 1558275625 2804896125 4674826875 14024480625