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414112403430 = 232511439727799
BaseRepresentation
bin1100000011010110000…
…01011100111111100110
31110120220012112202002100
412001223001130333212
523241100233402210
6514123545552530
741630043231225
oct6015301347746
91416805482070
10414112403430
1114a695723a30
12683114a5746
133008731450b
1416086578cbc
15ab8a8315c0
hex606b05cfe6

414112403430 has 96 divisors (see below), whose sum is σ = 1201889145600. Its totient is φ = 98056203840.

The previous prime is 414112403429. The next prime is 414112403489. The reversal of 414112403430 is 34304211414.

414112403430 is a `hidden beast` number, since 4 + 1 + 411 + 240 + 3 + 4 + 3 + 0 = 666.

414112403430 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 414112403394 and 414112403403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4821330 + ... + 4906469.

It is an arithmetic number, because the mean of its divisors is an integer number (12519678600).

Almost surely, 2414112403430 is an apocalyptic number.

414112403430 is an abundant number, since it is smaller than the sum of its proper divisors (787776742170).

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

414112403430 is a wasteful number, since it uses less digits than its factorization.

414112403430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9727866 (or 9727863 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414112403430 its reverse (34304211414), we get a palindrome (448416614844).

The spelling of 414112403430 in words is "four hundred fourteen billion, one hundred twelve million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 7095 8514 14190 21285 42570 9727799 19455598 29183397 48638995 58366794 87550191 97277990 107005789 145916985 175100382 214011578 291833970 321017367 418295357 437750955 535028945 642034734 836590714 875501910 963052101 1070057890 1254886071 1605086835 1926104202 2091476785 2509772142 3210173670 3764658213 4182953570 4601248927 4815260505 6274430355 7529316426 9202497854 9630521010 12548860710 13803746781 18823291065 23006244635 27607493562 37646582130 41411240343 46012489270 69018733905 82822480686 138037467810 207056201715 414112403430