Search a number
-
+
14006722500 = 2234542632
BaseRepresentation
bin11010000101101110…
…11001111111000100
31100011011010020010000
431002313121333010
5212141210110000
610233512401300
71004046114441
oct150267317704
940134106100
1014006722500
115a3847aa21
12286a9a6230
131422b239a4
1496c3469c8
1556ea10000
hex342dd9fc4

14006722500 has 225 divisors, whose sum is σ = 45930415531. Its totient is φ = 3720924000.

The previous prime is 14006722493. The next prime is 14006722517. The reversal of 14006722500 is 522760041.

The square root of 14006722500 is 118350.

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

14006722500 is a `hidden beast` number, since 1 + 400 + 6 + 7 + 2 + 250 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1098127044 + 12908595456 = 33138^2 + 113616^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

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 74 ways as a sum of consecutive naturals, for example, 53257369 + ... + 53257631.

Almost surely, 214006722500 is an apocalyptic number.

14006722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14006722500 is the 118350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14006722500

14006722500 is an abundant number, since it is smaller than the sum of its proper divisors (31923693031).

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

14006722500 is an frugal number, since it uses more digits than its factorization.

14006722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 14006722500 in words is "fourteen billion, six million, seven hundred twenty-two thousand, five hundred".