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243423440728 = 2313103181223563
BaseRepresentation
bin1110001010110100101…
…0101110111101011000
3212021022121011000210221
43202231022232331120
512442012400100403
6303454401045424
723405155051366
oct3425512567530
9767277130727
10243423440728
11942652059a6
123b216026874
1319c54713ac0
14bad31dc636
1564ea793dbd
hex38ad2aef58

243423440728 has 128 divisors (see below), whose sum is σ = 502170439680. Its totient is φ = 109952017920.

The previous prime is 243423440723. The next prime is 243423440773. The reversal of 243423440728 is 827044324342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243423440723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432368175 + ... + 432368737.

It is an arithmetic number, because the mean of its divisors is an integer number (3923206560).

Almost surely, 2243423440728 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 243423440728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251085219840).

243423440728 is an abundant number, since it is smaller than the sum of its proper divisors (258746998952).

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

243423440728 is a wasteful number, since it uses less digits than its factorization.

243423440728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 43.

The spelling of 243423440728 in words is "two hundred forty-three billion, four hundred twenty-three million, four hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 103 104 181 206 223 362 412 446 563 724 824 892 1126 1339 1448 1784 2252 2353 2678 2899 4504 4706 5356 5798 7319 9412 10712 11596 14638 18643 18824 22969 23192 29276 37286 40363 45938 57989 58552 74572 80726 91876 101903 115978 125549 149144 161452 183752 203806 231956 242359 251098 298597 322904 407612 463912 484718 502196 524719 597194 753857 815224 969436 1004392 1049438 1194388 1324739 1507714 1632137 1938872 2098876 2388776 2649478 3015428 3264274 4157389 4197752 5298956 6030856 6528548 8314778 10496009 10597912 12931547 13057096 16629556 20992018 22724369 25863094 33259112 41984036 45448738 51726188 54046057 83968072 90897476 103452376 108092114 136448117 168110111 181794952 216184228 272896234 295416797 336220222 432368456 545792468 590833594 672440444 1091584936 1181667188 1344880888 2340610007 2363334376 4681220014 9362440028 18724880056 30427930091 60855860182 121711720364 243423440728