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433140000400 = 24521082850001
BaseRepresentation
bin1100100110110010010…
…01111110011010010000
31112102000021022211011001
412103121021332122100
524044032320003100
6530552021231344
743202420153662
oct6233111763220
91472007284131
10433140000400
1115776a269188
126bb41862554
1331aca3c5233
1416d6d658532
15b40101cd6a
hex64d927e690

433140000400 has 30 divisors (see below), whose sum is σ = 1040618851922. Its totient is φ = 173256000000.

The previous prime is 433140000347. The next prime is 433140000421. The reversal of 433140000400 is 4000041334.

It can be written as a sum of positive squares in 3 ways, for example, as 123220656784 + 309919343616 = 351028^2 + 556704^2 .

It is a super-2 number, since 2×4331400004002 (a number of 24 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 541424601 + ... + 541425400.

Almost surely, 2433140000400 is an apocalyptic number.

433140000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433140000400 is an abundant number, since it is smaller than the sum of its proper divisors (607478851522).

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

433140000400 is a wasteful number, since it uses less digits than its factorization.

433140000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082850019 (or 1082850008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 433140000400 its reverse (4000041334), we get a palindrome (437140041734).

The spelling of 433140000400 in words is "four hundred thirty-three billion, one hundred forty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1082850001 2165700002 4331400004 5414250005 8662800008 10828500010 17325600016 21657000020 27071250025 43314000040 54142500050 86628000080 108285000100 216570000200 433140000400