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3439151705025 = 38521922412
BaseRepresentation
bin110010000010111101011…
…010100110101111000001
3110011210001101200100000000
4302002331122212233001
5422321340314030100
611151531404350213
7503320246105521
oct62027532465701
913153041610000
103439151705025
11110659952a593
12476644b45369
131bc40655b5ba
14bc654b29681
155e6d840c900
hex320bd6a6bc1

3439151705025 has 243 divisors, whose sum is σ = 6779001910473. Its totient is φ = 1730466374400.

The previous prime is 3439151704999. The next prime is 3439151705107. The reversal of 3439151705025 is 5205071519343.

The square root of 3439151705025 is 1854495.

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

3439151705025 is a `hidden beast` number, since 3 + 4 + 3 + 91 + 51 + 7 + 0 + 502 + 5 = 666.

3439151705025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51181370289 + 3387970334736 = 226233^2 + 1840644^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a de Polignac number, because none of the positive numbers 2k-3439151705025 is a prime.

It is a super-2 number, since 2×34391517050252 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14270338905 + ... + 14270339145.

Almost surely, 23439151705025 is an apocalyptic number.

3439151705025 is the 1854495-th square number.

3439151705025 is the 927248-th centered octagonal number.

It is an amenable number.

3439151705025 is a deficient number, since it is larger than the sum of its proper divisors (3339850205448).

3439151705025 is an frugal number, since it uses more digits than its factorization.

3439151705025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 3439151705025 in words is "three trillion, four hundred thirty-nine billion, one hundred fifty-one million, seven hundred five thousand, twenty-five".