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431144214424 = 23711897864151
BaseRepresentation
bin1100100011000100011…
…00101001111110011000
31112012212011220101110221
412101202030221332120
524030440404330144
6530022004445424
743102104232660
oct6214214517630
91465764811427
10431144214424
1115693573a690
126b6853a9874
133186ca94ca1
1416c205791a0
15b335bddd84
hex6462329f98

431144214424 has 64 divisors (see below), whose sum is σ = 1019194099200. Its totient is φ = 166090848000.

The previous prime is 431144214419. The next prime is 431144214539. The reversal of 431144214424 is 424412441134.

It is a self number, because there is not a number n which added to its sum of digits gives 431144214424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877252 + ... + 3986899.

It is an arithmetic number, because the mean of its divisors is an integer number (15924907800).

Almost surely, 2431144214424 is an apocalyptic number.

431144214424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431144214424 is an abundant number, since it is smaller than the sum of its proper divisors (588049884776).

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

431144214424 is a wasteful number, since it uses less digits than its factorization.

431144214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864264 (or 7864260 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

Adding to 431144214424 its reverse (424412441134), we get a palindrome (855556655558).

The spelling of 431144214424 in words is "four hundred thirty-one billion, one hundred forty-four million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 89 154 178 308 356 616 623 712 979 1246 1958 2492 3916 4984 6853 7832 13706 27412 54824 7864151 15728302 31456604 55049057 62913208 86505661 110098114 173011322 220196228 346022644 440392456 605539627 692045288 699909439 1211079254 1399818878 2422158508 2799637756 4844317016 4899366073 5599275512 7699003829 9798732146 15398007658 19597464292 30796015316 39194928584 53893026803 61592030632 107786053606 215572107212 431144214424