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14363303409 = 32721324392
BaseRepresentation
bin11010110000001111…
…01001110111110001
31101002000002102011100
431120013221313301
5213404001202114
610333131235013
71015636031100
oct153007516761
941060072140
1014363303409
11610078a494
12294a2a8a69
13147b972400
149a3848037
15590e98909
hex3581e9df1

14363303409 has 81 divisors (see below), whose sum is σ = 26193211083. Its totient is φ = 7558989984.

The previous prime is 14363303389. The next prime is 14363303411. The reversal of 14363303409 is 90430336341.

The square root of 14363303409 is 119847.

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

14363303409 is a `hidden beast` number, since 14 + 3 + 633 + 0 + 3 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2124749025 + 12238554384 = 46095^2 + 110628^2 .

It is not a de Polignac number, because 14363303409 - 213 = 14363295217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14363303429) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 32718012 + ... + 32718450.

Almost surely, 214363303409 is an apocalyptic number.

14363303409 is the 119847-th square number.

14363303409 is the 59924-th centered octagonal number.

It is an amenable number.

14363303409 is a deficient number, since it is larger than the sum of its proper divisors (11829907674).

14363303409 is an equidigital number, since it uses as much as digits as its factorization.

14363303409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Multiplying 14363303409 by its sum of digits (36), we get a square (517078922724 = 7190822).

The spelling of 14363303409 in words is "fourteen billion, three hundred sixty-three million, three hundred three thousand, four hundred nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 169 273 439 441 507 637 819 1183 1317 1521 1911 3073 3549 3951 5707 5733 8281 9219 10647 17121 21511 24843 27657 39949 51363 64533 74191 74529 119847 192721 193599 222573 279643 359541 519337 578163 667719 838929 1349047 1558011 1734489 2505373 2516787 3635359 4047141 4674033 7516119 9443329 10906077 12141423 17537611 22548357 28329987 32569849 32718231 52612833 84989961 97709547 122763277 157838499 227988943 293128641 368289831 683966829 1104869493 1595922601 2051900487 4787767803 14363303409