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432023200401 = 313193128366457
BaseRepresentation
bin1100100100101101001…
…01101110001010010001
31112022010102212111120010
412102112211232022101
524034240414403101
6530245124305133
743132636420212
oct6222645561221
91468112774503
10432023200401
11157246919881
126b88b8421a9
133197cc11830
1416ca51c5409
15b387e692d6
hex649696e291

432023200401 has 64 divisors (see below), whose sum is σ = 676446740480. Its totient is φ = 242878072320.

The previous prime is 432023200397. The next prime is 432023200403. The reversal of 432023200401 is 104002320234.

It is not a de Polignac number, because 432023200401 - 22 = 432023200397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432023200403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6467565 + ... + 6534021.

It is an arithmetic number, because the mean of its divisors is an integer number (10569480320).

Almost surely, 2432023200401 is an apocalyptic number.

It is an amenable number.

432023200401 is a deficient number, since it is larger than the sum of its proper divisors (244423540079).

432023200401 is a wasteful number, since it uses less digits than its factorization.

432023200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66806.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 432023200401 its reverse (104002320234), we get a palindrome (536025520635).

The spelling of 432023200401 in words is "four hundred thirty-two billion, twenty-three million, two hundred thousand, four hundred one".

Divisors: 1 3 13 19 31 39 57 93 247 283 403 589 741 849 1209 1767 3679 5377 7657 8773 11037 16131 22971 26319 66457 69901 114049 166687 199371 209703 342147 500061 863941 1262683 2060167 2166931 2591823 3788049 6180501 6500793 16414879 18807331 26782171 39143173 49244637 56421993 80346513 117429519 244495303 357339289 508861249 583027261 733485909 1072017867 1526583747 1749081783 4645410757 7579354393 11077517959 13936232271 22738063179 33232553877 144007733467 432023200401