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30446411121 = 327411872
BaseRepresentation
bin11100010110101111…
…110101110101110001
32220120212021221022100
4130112233311311301
5444323240123441
621553100131013
72125330140000
oct342657656561
986525257270
1030446411121
1111a04229345
125a98536a69
132b42a063a9
14168b850c37
15bd2e08cb6
hex716bf5d71

30446411121 has 45 divisors (see below), whose sum is σ = 51348046841. Its totient is φ = 17383292136.

The previous prime is 30446411041. The next prime is 30446411183. The reversal of 30446411121 is 12111464403.

The square root of 30446411121 is 174489.

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

30446411121 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 641 + 1 + 12 + 1 = 666.

It is not a de Polignac number, because 30446411121 - 225 = 30412856689 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30446411921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25649290 + ... + 25650476.

Almost surely, 230446411121 is an apocalyptic number.

30446411121 is the 174489-th square number.

30446411121 is the 87245-th centered octagonal number.

It is an amenable number.

30446411121 is a deficient number, since it is larger than the sum of its proper divisors (20901635720).

30446411121 is an frugal number, since it uses more digits than its factorization.

30446411121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 30446411121 by its product of nonzero digits (2304), we get a square (70148531222784 = 83754722).

Adding to 30446411121 its reverse (12111464403), we get a palindrome (42557875524).

The spelling of 30446411121 in words is "thirty billion, four hundred forty-six million, four hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 1187 2401 3087 3561 7203 8309 10683 21609 24927 58163 74781 174489 407141 523467 1221423 1408969 2849987 3664269 4226907 8549961 9862783 12680721 25649883 29588349 69039481 88765047 207118443 483276367 621355329 1449829101 3382934569 4349487303 10148803707 30446411121