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430423461416 = 231319121668519
BaseRepresentation
bin1100100001101110011…
…11001100111000101000
31112010222221200100020002
412100313033030320220
524023001401231131
6525422300322132
743045203025154
oct6206717147050
91463887610202
10430423461416
111565a5906243
126b503b43348
133178666a810
1416b9295c064
15b2e27bc6cb
hex64373cce28

430423461416 has 32 divisors (see below), whose sum is σ = 873674726400. Its totient is φ = 197616884160.

The previous prime is 430423461379. The next prime is 430423461421. The reversal of 430423461416 is 614164324034.

It is a super-2 number, since 2×4304234614162 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 430423461416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10814396 + ... + 10854123.

It is an arithmetic number, because the mean of its divisors is an integer number (27302335200).

Almost surely, 2430423461416 is an apocalyptic number.

It is an amenable number.

430423461416 is an abundant number, since it is smaller than the sum of its proper divisors (443251264984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430423461416 is a wasteful number, since it uses less digits than its factorization.

430423461416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21668729 (or 21668725 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 430423461416 in words is "four hundred thirty billion, four hundred twenty-three million, four hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 191 382 764 1528 2483 4966 9932 19864 21668519 43337038 86674076 173348152 281690747 563381494 1126762988 2253525976 4138687129 8277374258 16554748516 33109497032 53802932677 107605865354 215211730708 430423461416