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243422440040 = 235131193392389
BaseRepresentation
bin1110001010110100011…
…0111010101001101000
3212021022112021012010102
43202231012322221220
512442012121040130
6303454323404532
723405143413053
oct3425506725150
9767275235112
10243422440040
119426469208a
123b215823748
1319c54453490
14bad301ba9a
1564ea647645
hex38ad1baa68

243422440040 has 64 divisors (see below), whose sum is σ = 590327211600. Its totient is φ = 89803487232.

The previous prime is 243422439991. The next prime is 243422440057. The reversal of 243422440040 is 40044224342.

243422440040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 137770138276 + 105652301764 = 371174^2 + 325042^2 .

It is a junction number, because it is equal to n+sod(n) for n = 243422439985 and 243422440012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424166 + ... + 816554.

Almost surely, 2243422440040 is an apocalyptic number.

243422440040 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 243422440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295163605800).

243422440040 is an abundant number, since it is smaller than the sum of its proper divisors (346904771560).

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

243422440040 is a wasteful number, since it uses less digits than its factorization.

243422440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393606 (or 393602 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 243422440040 its reverse (40044224342), we get a palindrome (283466664382).

The spelling of 243422440040 in words is "two hundred forty-three billion, four hundred twenty-two million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1193 2386 4772 5965 9544 11930 15509 23860 31018 47720 62036 77545 124072 155090 310180 392389 620360 784778 1569556 1961945 3139112 3923890 5101057 7847780 10202114 15695560 20404228 25505285 40808456 51010570 102021140 204042280 468120077 936240154 1872480308 2340600385 3744960616 4681200770 6085561001 9362401540 12171122002 18724803080 24342244004 30427805005 48684488008 60855610010 121711220020 243422440040