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4243230323424 = 253267428351343
BaseRepresentation
bin111101101111110100001…
…111000111001011100000
3120000122112000110100121100
4331233310033013023200
51024010113430322144
613005151343554400
7615364126434351
oct75576417071340
916018460410540
104243230323424
1113965a8995694
125864492bba00
1324a19a4c4c31
14109532a2bd28
1575599804269
hex3dbf43c72e0

4243230323424 has 144 divisors (see below), whose sum is σ = 12249884005632. Its totient is φ = 1392947069184.

The previous prime is 4243230323407. The next prime is 4243230323477.

4243230323424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 2 + 303 + 2 + 342 + 4 = 666.

4243230323424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82619097 + ... + 82670439.

It is an arithmetic number, because the mean of its divisors is an integer number (85068638928).

Almost surely, 24243230323424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243230323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124942002816).

4243230323424 is an abundant number, since it is smaller than the sum of its proper divisors (8006653682208).

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

4243230323424 is a wasteful number, since it uses less digits than its factorization.

4243230323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55709 (or 55698 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4243230 and 323424, that added together give a palindrome (4566654).

The spelling of 4243230323424 in words is "four trillion, two hundred forty-three billion, two hundred thirty million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4283 4824 6432 8566 9648 12849 17132 19296 25698 34264 38547 51343 51396 68528 77094 102686 102792 137056 154029 154188 205372 205584 286961 308058 308376 410744 411168 462087 573922 616116 616752 821488 860883 924174 1147844 1232232 1233504 1642976 1721766 1848348 2295688 2464464 2582649 3439981 3443532 3696696 4591376 4928928 5165298 6879962 6887064 7393392 9182752 10319943 10330596 13759924 13774128 14786784 20639886 20661192 27519848 27548256 30959829 41279772 41322384 55039696 61919658 82559544 82644768 110079392 123839316 165119088 219902069 247678632 330238176 439804138 495357264 659706207 879608276 990714528 1319412414 1759216552 1979118621 2638824828 3518433104 3958237242 5277649656 7036866208 7916474484 10555299312 14733438623 15832948968 21110598624 29466877246 31665897936 44200315869 58933754492 63331795872 88400631738 117867508984 132600947607 176801263476 235735017968 265201895214 353602526952 471470035936 530403790428 707205053904 1060807580856 1414410107808 2121615161712 4243230323424