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242105435500 = 2253743651697
BaseRepresentation
bin1110000101111010011…
…0111100010101101100
3212010220202002102112111
43201132212330111230
512431312442414000
6303115515413404
723330412150505
oct3413646742554
9763822072474
10242105435500
1193749230085
123ab08754264
1319aa4643656
14ba0a151bac
15646ebe8cba
hex385e9bc56c

242105435500 has 48 divisors (see below), whose sum is σ = 529470736704. Its totient is φ = 96711686400.

The previous prime is 242105435489. The next prime is 242105435501. The reversal of 242105435500 is 5534501242.

It is not an unprimeable number, because it can be changed into a prime (242105435501) 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, 45652 + ... + 697348.

It is an arithmetic number, because the mean of its divisors is an integer number (11030640348).

Almost surely, 2242105435500 is an apocalyptic number.

242105435500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242105435500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264735368352).

242105435500 is an abundant number, since it is smaller than the sum of its proper divisors (287365301204).

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

242105435500 is a wasteful number, since it uses less digits than its factorization.

242105435500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652459 (or 652447 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

Adding to 242105435500 its reverse (5534501242), we get a palindrome (247639936742).

The spelling of 242105435500 in words is "two hundred forty-two billion, one hundred five million, four hundred thirty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 743 1486 2972 3715 7430 14860 18575 37150 74300 92875 185750 371500 651697 1303394 2606788 3258485 6516970 13033940 16292425 32584850 65169700 81462125 162924250 325848500 484210871 968421742 1936843484 2421054355 4842108710 9684217420 12105271775 24210543550 48421087100 60526358875 121052717750 242105435500