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4241344213344 = 253729217638763
BaseRepresentation
bin111101101110000011110…
…100001011000101100000
3120000110122120102000222110
4331232003310023011200
51023442233104311334
613004240250035320
7615266314655220
oct75560364130540
916013576360873
104241344213344
111395820267227
12586001718b40
13249c59815674
141093d433c080
15754d8e3bae9
hex3db83d0b160

4241344213344 has 96 divisors (see below), whose sum is σ = 13162792446720. Its totient is φ = 1170025984512.

The previous prime is 4241344213321. The next prime is 4241344213349. The reversal of 4241344213344 is 4433124431424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241344213349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108799894 + ... + 108838869.

It is an arithmetic number, because the mean of its divisors is an integer number (137112421320).

Almost surely, 24241344213344 is an apocalyptic number.

It is an amenable number.

4241344213344 is an abundant number, since it is smaller than the sum of its proper divisors (8921448233376).

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

4241344213344 is a wasteful number, since it uses less digits than its factorization.

4241344213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217638812 (or 217638804 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

Adding to 4241344213344 its reverse (4433124431424), we get a palindrome (8674468644768).

The spelling of 4241344213344 in words is "four trillion, two hundred forty-one billion, three hundred forty-four million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 217638763 435277526 652916289 870555052 1305832578 1523471341 1741110104 2611665156 3046942682 3482220208 4570414023 5223330312 6093885364 6311524127 6964440416 9140828046 10446660624 12187770728 12623048254 18281656092 18934572381 20893321248 24375541456 25246096508 36563312184 37869144762 44180668889 48751082912 50492193016 73126624368 75738289524 88361337778 100984386032 132542006667 146253248736 151476579048 176722675556 201968772064 265084013334 302953158096 353445351112 530168026668 605906316192 706890702224 1060336053336 1413781404448 2120672106672 4241344213344