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243045313024 = 294195312149
BaseRepresentation
bin1110001001011010100…
…0010010101000000000
3212020100020122011010011
43202112220102220000
512440224100004044
6303353052314304
723362614034303
oct3422650225000
9766306564104
10243045313024
1194090819a68
123b12b472994
1319bc428cbb7
14ba98cccb3a
1564c74a1134
hex3896a12a00

243045313024 has 80 divisors (see below), whose sum is σ = 498023202600. Its totient is φ = 118424535040.

The previous prime is 243045312889. The next prime is 243045313067. The reversal of 243045313024 is 420313540342.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208330170624 + 34715142400 = 456432^2 + 186320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19999302 + ... + 20011450.

Almost surely, 2243045313024 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 243045313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249011601300).

243045313024 is an abundant number, since it is smaller than the sum of its proper divisors (254977889576).

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

243045313024 is an equidigital number, since it uses as much as digits as its factorization.

243045313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 243045313024 its reverse (420313540342), we get a palindrome (663358853366).

The spelling of 243045313024 in words is "two hundred forty-three billion, forty-five million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 953 1312 1906 2624 3812 5248 7624 10496 12149 15248 20992 24298 30496 39073 48596 60992 78146 97192 121984 156292 194384 243968 312584 388768 487936 498109 625168 777536 996218 1250336 1555072 1992436 2500672 3110144 3984872 5001344 6220288 7969744 10002688 11577997 15939488 20005376 23155994 31878976 46311988 63757952 92623976 127515904 185247952 255031808 370495904 474697877 740991808 949395754 1481983616 1898791508 2963967232 3797583016 5927934464 7595166032 15190332064 30380664128 60761328256 121522656512 243045313024