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12430053243432 = 23321117478983693
BaseRepresentation
bin1011010011100001100011…
…1010000111101000101000
31122000022010210010102102100
42310320120322013220220
53112123222112242212
642234142043333400
72422020210166026
oct264703072075050
948008123112370
1012430053243432
113a62613006870
12148903b821260
136c21c24457b6
1430d8912c9716
15168502e5dbdc
hexb4e18e87a28

12430053243432 has 96 divisors (see below), whose sum is σ = 36746183242080. Its totient is φ = 3764526295680.

The previous prime is 12430053243317. The next prime is 12430053243437. The reversal of 12430053243432 is 23434235003421.

12430053243432 is a `hidden beast` number, since 1 + 2 + 4 + 300 + 5 + 3 + 2 + 4 + 343 + 2 = 666.

It is a super-2 number, since 2×124300532434322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12430053243437) 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, 3108223 + ... + 5875470.

It is an arithmetic number, because the mean of its divisors is an integer number (382772742105).

Almost surely, 212430053243432 is an apocalyptic number.

12430053243432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12430053243432 is an abundant number, since it is smaller than the sum of its proper divisors (24316129998648).

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

12430053243432 is a wasteful number, since it uses less digits than its factorization.

12430053243432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8985463 (or 8985456 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 12430053243432 its reverse (23434235003421), we get a palindrome (35864288246853).

The spelling of 12430053243432 in words is "twelve trillion, four hundred thirty billion, fifty-three million, two hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1747 3494 5241 6988 10482 13976 15723 19217 20964 31446 38434 41928 57651 62892 76868 115302 125784 153736 172953 230604 345906 461208 691812 1383624 8983693 17967386 26951079 35934772 53902158 71869544 80853237 98820623 107804316 161706474 197641246 215608632 296461869 323412948 395282492 592923738 646825896 790564984 889385607 1185847476 1778771214 2371694952 3557542428 7115084856 15694511671 31389023342 47083535013 62778046684 94167070026 125556093368 141250605039 172639628381 188334140052 282501210078 345279256762 376668280104 517918885143 565002420156 690558513524 1035837770286 1130004840312 1381117027048 1553756655429 2071675540572 3107513310858 4143351081144 6215026621716 12430053243432