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30139390449 = 327411812
BaseRepresentation
bin11100000100011100…
…101001100111110001
32212210110120200010100
4130010130221213301
5443211140443244
621502411423013
72114611410000
oct340434514761
985713520110
1030139390449
111186699a153
125a11754a69
132ac421ab5c
14165cb70c37
15bb5eaeb69
hex7047299f1

30139390449 has 45 divisors (see below), whose sum is σ = 50830472459. Its totient is φ = 17207925840.

The previous prime is 30139390363. The next prime is 30139390453. The reversal of 30139390449 is 94409393103.

The square root of 30139390449 is 173607.

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

30139390449 is a `hidden beast` number, since 30 + 1 + 3 + 93 + 90 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27641390049 + 2498000400 = 166257^2 + 49980^2 .

It is not a de Polignac number, because 30139390449 - 229 = 29602519537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30139390459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25519639 + ... + 25520819.

Almost surely, 230139390449 is an apocalyptic number.

30139390449 is the 173607-th square number.

30139390449 is the 86804-th centered octagonal number.

It is an amenable number.

30139390449 is a deficient number, since it is larger than the sum of its proper divisors (20691082010).

30139390449 is an frugal number, since it uses more digits than its factorization.

30139390449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 30139390449 in words is "thirty billion, one hundred thirty-nine million, three hundred ninety thousand, four hundred forty-nine".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 1181 2401 3087 3543 7203 8267 10629 21609 24801 57869 74403 173607 405083 520821 1215249 1394761 2835581 3645747 4184283 8506743 9763327 12552849 25520229 29289981 68343289 87869943 205029867 478403023 615089601 1435209069 3348821161 4305627207 10046463483 30139390449