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42432044023424 = 271192932439607
BaseRepresentation
bin10011010010111011110101…
…11010010011111010000000
312120020110112002211021122202
421221131322322103322000
521030201311232222144
6230125002324052332
711636420415126446
oct1151357272237200
9176213462737582
1042432044023424
111257a368717340
1249137458340a8
131a8a42b151573
14a69a16c10b96
154d8b4c8c864e
hex26977ae93e80

42432044023424 has 64 divisors (see below), whose sum is σ = 92316636446400. Its totient is φ = 19266530795520.

The previous prime is 42432044023403. The next prime is 42432044023507.

It is a happy number.

42432044023424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14911772 + ... + 17527835.

It is an arithmetic number, because the mean of its divisors is an integer number (1442447444475).

Almost surely, 242432044023424 is an apocalyptic number.

42432044023424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42432044023424 is an abundant number, since it is smaller than the sum of its proper divisors (49884592422976).

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

42432044023424 is a wasteful number, since it uses less digits than its factorization.

42432044023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32440561 (or 32440549 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 4243204 and 4023424, that added together give a palindrome (8266628).

The spelling of 42432044023424 in words is "forty-two trillion, four hundred thirty-two billion, forty-four million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 929 1408 1858 3716 7432 10219 14864 20438 29728 40876 59456 81752 118912 163504 327008 654016 1308032 32439607 64879214 129758428 259516856 356835677 519033712 713671354 1038067424 1427342708 2076134848 2854685416 4152269696 5709370832 11418741664 22837483328 30136394903 45674966656 60272789806 120545579612 241091159224 331500343933 482182318448 663000687866 964364636896 1326001375732 1928729273792 2652002751464 3857458547584 5304005502928 10608011005856 21216022011712 42432044023424