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430041314000 = 2453215020657
BaseRepresentation
bin1100100001000000111…
…01011011001011010000
31112010000022121020112002
412100200131123023100
524021211034022000
6525320325453132
743032552566564
oct6204035331320
91463008536462
10430041314000
1115641a124231
126b417b711a8
133172543a09c
1416b57cc36a4
15b2bde838d5
hex642075b2d0

430041314000 has 40 divisors (see below), whose sum is σ = 1039839902088. Its totient is φ = 172016524800.

The previous prime is 430041313997. The next prime is 430041314077. The reversal of 430041314000 is 413140034.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 277155904 + 429764158096 = 16648^2 + 655564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107508329 + ... + 107512328.

Almost surely, 2430041314000 is an apocalyptic number.

430041314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430041314000 is an abundant number, since it is smaller than the sum of its proper divisors (609798588088).

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

430041314000 is a wasteful number, since it uses less digits than its factorization.

430041314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215020680 (or 215020664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 430041314000 its reverse (413140034), we get a palindrome (430454454034).

The spelling of 430041314000 in words is "four hundred thirty billion, forty-one million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 215020657 430041314 860082628 1075103285 1720165256 2150206570 3440330512 4300413140 5375516425 8600826280 10751032850 17201652560 21502065700 26877582125 43004131400 53755164250 86008262800 107510328500 215020657000 430041314000