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42240310300 = 225210323917159
BaseRepresentation
bin100111010101101101…
…111111110000011100
311001000210121002111001
4213111231333300130
51143002004412200
631223244240044
73023516466466
oct472555776034
9131023532431
1042240310300
1116a06610361
12822a240024
133ca2258a66
142089d3d136
15117351776a
hex9d5b7fc1c

42240310300 has 72 divisors (see below), whose sum is σ = 92944051200. Its totient is φ = 16661104320.

The previous prime is 42240310289. The next prime is 42240310319. The reversal of 42240310300 is 301304224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2453121 + ... + 2470279.

It is an arithmetic number, because the mean of its divisors is an integer number (1290889600).

Almost surely, 242240310300 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 42240310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46472025600).

42240310300 is an abundant number, since it is smaller than the sum of its proper divisors (50703740900).

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

42240310300 is a wasteful number, since it uses less digits than its factorization.

42240310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17515 (or 17508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 42240310300 its reverse (301304224), we get a palindrome (42541614524).

The spelling of 42240310300 in words is "forty-two billion, two hundred forty million, three hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 239 412 478 515 956 1030 1195 2060 2390 2575 4780 5150 5975 10300 11950 17159 23900 24617 34318 49234 68636 85795 98468 123085 171590 246170 343180 428975 492340 615425 857950 1230850 1715900 1767377 2461700 3534754 4101001 7069508 8202002 8836885 16404004 17673770 20505005 35347540 41010010 44184425 82020020 88368850 102525025 176737700 205050050 410100100 422403103 844806206 1689612412 2112015515 4224031030 8448062060 10560077575 21120155150 42240310300