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42410232320 = 29531375281
BaseRepresentation
bin100111011111110110…
…001100101000000000
311001110122100000200012
4213133312030220000
51143324004413240
631252154244052
73030652012121
oct473766145000
9131418300605
1042410232320
1116a9351a285
128277126628
133ccb511731
1420a4732048
1511833ceb65
hex9dfd8ca00

42410232320 has 80 divisors (see below), whose sum is σ = 101736834408. Its totient is φ = 16955473920.

The previous prime is 42410232313. The next prime is 42410232349. The reversal of 42410232320 is 2323201424.

It can be written as a sum of positive squares in 4 ways, for example, as 38812152064 + 3598080256 = 197008^2 + 59984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8028080 + ... + 8033360.

Almost surely, 242410232320 is an apocalyptic number.

42410232320 is a gapful number since it is divisible by the number (40) 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 42410232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50868417204).

42410232320 is an abundant number, since it is smaller than the sum of its proper divisors (59326602088).

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

42410232320 is an equidigital number, since it uses as much as digits as its factorization.

42410232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 42410232320 its reverse (2323201424), we get a palindrome (44733433744).

The spelling of 42410232320 in words is "forty-two billion, four hundred ten million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3137 5281 6274 10562 12548 15685 21124 25096 26405 31370 42248 50192 52810 62740 84496 100384 105620 125480 168992 200768 211240 250960 337984 401536 422480 501920 675968 803072 844960 1003840 1351936 1606144 1689920 2007680 2703872 3379840 4015360 6759680 8030720 13519360 16566497 33132994 66265988 82832485 132531976 165664970 265063952 331329940 530127904 662659880 1060255808 1325319760 2120511616 2650639520 4241023232 5301279040 8482046464 10602558080 21205116160 42410232320