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4332254243121 = 3272959103390199
BaseRepresentation
bin111111000010101110011…
…110011010100100110001
3120100011022020200001021100
4333002232132122210301
51031434424041234441
613114113215315013
7624665204322630
oct77025636324461
916304266601240
104332254243121
111420331640142
1259b75321ba69
132556b70335ac
1410d97a047517
1577a5a126cb6
hex3f0ae79a931

4332254243121 has 96 divisors (see below), whose sum is σ = 7596725760000. Its totient is φ = 2326878658944.

The previous prime is 4332254243099. The next prime is 4332254243153. The reversal of 4332254243121 is 1213424522334.

4332254243121 is a `hidden beast` number, since 4 + 3 + 3 + 225 + 424 + 3 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 4332254243121 - 213 = 4332254234929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4332254243171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10907580 + ... + 11297778.

It is an arithmetic number, because the mean of its divisors is an integer number (79132560000).

Almost surely, 24332254243121 is an apocalyptic number.

It is an amenable number.

4332254243121 is a deficient number, since it is larger than the sum of its proper divisors (3264471516879).

4332254243121 is a wasteful number, since it uses less digits than its factorization.

4332254243121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390403 (or 390400 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 4332254243121 its reverse (1213424522334), we get a palindrome (5545678765455).

The spelling of 4332254243121 in words is "four trillion, three hundred thirty-two billion, two hundred fifty-four million, two hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 29 59 63 87 103 177 203 261 309 413 531 609 721 927 1239 1711 1827 2163 2987 3717 5133 6077 6489 8961 11977 15399 18231 20909 26883 35931 42539 54693 62727 107793 127617 176233 188181 382851 390199 528699 1170597 1233631 1586097 2731393 3511791 3700893 8194179 11102679 11315771 23021741 24582537 33947313 40190497 69065223 79210397 101841939 120571491 161152187 207195669 237631191 281333479 361714473 483456561 667630489 712893573 844000437 1165524413 1450369683 2002891467 2371239323 2532001311 3496573239 4673413423 6008674401 7113717969 8158670891 10489719717 14020240269 16598675261 21341153907 24476012673 42060720807 49796025783 68765940367 73428038019 149388077349 206297821101 481361582569 618893463303 1444084747707 4332254243121