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30412918449 = 3821532
BaseRepresentation
bin11100010100110000…
…000100111010110001
32220111112021100000000
4130110300010322301
5444241201342244
621545502220213
72124442353504
oct342460047261
986445240000
1030412918449
1111997332851
125a89284669
132b38aaa744
14168721313b
15bceee0169
hex714c04eb1

30412918449 has 27 divisors (see below), whose sum is σ = 45638257483. Its totient is φ = 20265861744.

The previous prime is 30412918411. The next prime is 30412918457. The reversal of 30412918449 is 94481921403.

The square root of 30412918449 is 174393.

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

30412918449 is a `hidden beast` number, since 30 + 412 + 91 + 84 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2245338225 + 28167580224 = 47385^2 + 167832^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 30412918449 - 225 = 30379364017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30412918409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14124757 + ... + 14126909.

Almost surely, 230412918449 is an apocalyptic number.

30412918449 is the 174393-rd square number.

30412918449 is the 87197-th centered octagonal number.

It is an amenable number.

30412918449 is a deficient number, since it is larger than the sum of its proper divisors (15225339034).

30412918449 is an frugal number, since it uses more digits than its factorization.

30412918449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30412918449 in words is "thirty billion, four hundred twelve million, nine hundred eighteen thousand, four hundred forty-nine".

Divisors: 1 3 9 27 81 243 729 2153 2187 6459 6561 19377 58131 174393 523179 1569537 4635409 4708611 13906227 14125833 41718681 125156043 375468129 1126404387 3379213161 10137639483 30412918449