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30456433345 = 51310110974229
BaseRepresentation
bin11100010111010110…
…000100101011000001
32220121120011010012211
4130113112010223001
5444333321331340
621554055022121
72125511261212
oct342726045301
986546133184
1030456433345
1111a09954178
125a9b96a941
132b44b050c0
14168ccdd409
15bd3c385ea
hex717584ac1

30456433345 has 32 divisors (see below), whose sum is σ = 39794418720. Its totient is φ = 22242662400.

The previous prime is 30456433307. The next prime is 30456433349. The reversal of 30456433345 is 54333465403.

It can be written as a sum of positive squares in 16 ways, for example, as 404130609 + 30052302736 = 20103^2 + 173356^2 .

It is not a de Polignac number, because 30456433345 - 29 = 30456432833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30456433298 and 30456433307.

It is not an unprimeable number, because it can be changed into a prime (30456433349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7199691 + ... + 7203919.

It is an arithmetic number, because the mean of its divisors is an integer number (1243575585).

Almost surely, 230456433345 is an apocalyptic number.

It is an amenable number.

30456433345 is a deficient number, since it is larger than the sum of its proper divisors (9337985375).

30456433345 is a wasteful number, since it uses less digits than its factorization.

30456433345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445.

The product of its (nonzero) digits is 777600, while the sum is 40.

Adding to 30456433345 its reverse (54333465403), we get a palindrome (84789898748).

The spelling of 30456433345 in words is "thirty billion, four hundred fifty-six million, four hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 5 13 65 101 505 1097 1313 4229 5485 6565 14261 21145 54977 71305 110797 274885 427129 553985 1440361 2135645 4639213 5552677 7201805 23196065 27763385 60309769 301548845 468560513 2342802565 6091286669 30456433345