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42431384317 = 74723677477
BaseRepresentation
bin100111100001000110…
…111000101011111101
311001112010010122202111
4213201012320223331
51143344413244232
631254231454021
73031326546550
oct474106705375
9131463118674
1042431384317
1116aa4457073
128282227311
134002a092ca
1420a747a697
1511851ac047
hex9e11b8afd

42431384317 has 24 divisors (see below), whose sum is σ = 49688378624. Its totient is φ = 35494193952.

The previous prime is 42431384279. The next prime is 42431384329. The reversal of 42431384317 is 71348313424.

It is not a de Polignac number, because 42431384317 - 211 = 42431382269 is a prime.

It is a super-3 number, since 3×424313843173 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42431384317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431364317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5671183 + ... + 5678659.

Almost surely, 242431384317 is an apocalyptic number.

42431384317 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

42431384317 is a deficient number, since it is larger than the sum of its proper divisors (7256994307).

42431384317 is an equidigital number, since it uses as much as digits as its factorization.

42431384317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7898 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The spelling of 42431384317 in words is "forty-two billion, four hundred thirty-one million, three hundred eighty-four thousand, three hundred seventeen".

Divisors: 1 7 47 329 367 2209 2569 7477 15463 17249 52339 120743 351419 810703 2459933 2744059 5674921 16516693 19208413 115616851 128970773 902795411 6061626331 42431384317