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14916225424 = 2419216072
BaseRepresentation
bin11011110010001001…
…11000100110010000
31102111112111202120111
431321010320212100
5221022023203144
610504042251104
71035431552452
oct157104704620
942445452514
1014916225424
116364902a31
122a834b6a94
1315393968b9
14a170582d2
155c47b7534
hex379138990

14916225424 has 45 divisors (see below), whose sum is σ = 30520297227. Its totient is φ = 7061183712.

The previous prime is 14916225421. The next prime is 14916225431. The reversal of 14916225424 is 42452261941.

The square root of 14916225424 is 122132.

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

It is not an unprimeable number, because it can be changed into a prime (14916225421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9281229 + ... + 9282835.

Almost surely, 214916225424 is an apocalyptic number.

14916225424 is the 122132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14916225424

14916225424 is an abundant number, since it is smaller than the sum of its proper divisors (15604071803).

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

14916225424 is an frugal number, since it uses more digits than its factorization.

14916225424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 1628 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The spelling of 14916225424 in words is "fourteen billion, nine hundred sixteen million, two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 1607 2888 3214 5776 6428 12856 25712 30533 61066 122132 244264 488528 580127 1160254 2320508 2582449 4641016 5164898 9282032 10329796 20659592 41319184 49066531 98133062 196266124 392532248 785064496 932264089 1864528178 3729056356 7458112712 14916225424