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13442442303240 = 2332537340117509
BaseRepresentation
bin1100001110011100111111…
…1111111001011100001000
31202121002021220202021222100
43003213033333321130020
53230220110212200430
644331212302353400
72555120152206666
oct303471777713410
952532256667870
1013442442303240
1143129a9266765
12161129a88b860
13766803356952
14346890ca7c36
15184a07197960
hexc39cfff9708

13442442303240 has 48 divisors (see below), whose sum is σ = 43687937486700. Its totient is φ = 3584651280768.

The previous prime is 13442442303217. The next prime is 13442442303299. The reversal of 13442442303240 is 4230324424431.

13442442303240 is a `hidden beast` number, since 1 + 34 + 42 + 4 + 42 + 303 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11024299121796 + 2418143181444 = 3320286^2 + 1555038^2 .

It is a super-2 number, since 2×134424423032402 (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 a junction number, because it is equal to n+sod(n) for n = 13442442303195 and 13442442303204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18670058395 + ... + 18670059114.

Almost surely, 213442442303240 is an apocalyptic number.

13442442303240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442442303240 is an abundant number, since it is smaller than the sum of its proper divisors (30245495183460).

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

13442442303240 is a wasteful number, since it uses less digits than its factorization.

13442442303240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37340117526 (or 37340117519 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 13442442303240 its reverse (4230324424431), we get a palindrome (17672766727671).

The spelling of 13442442303240 in words is "thirteen trillion, four hundred forty-two billion, four hundred forty-two million, three hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 37340117509 74680235018 112020352527 149360470036 186700587545 224040705054 298720940072 336061057581 373401175090 448081410108 560101762635 672122115162 746802350180 896162820216 1120203525270 1344244230324 1493604700360 1680305287905 2240407050540 2688488460648 3360610575810 4480814101080 6721221151620 13442442303240