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42030710080 = 265769170801
BaseRepresentation
bin100111001001001110…
…011011110101000000
311000111012012022000221
4213021032123311000
51142034330210310
631150355552424
73015363066232
oct471116336500
9130435168027
1042030710080
1116909270637
12818bbbb714
133c6a9bcb68
14206a17c252
15115ee13ada
hex9c939bd40

42030710080 has 56 divisors (see below), whose sum is σ = 100216365480. Its totient is φ = 16790323200.

The previous prime is 42030710063. The next prime is 42030710081. The reversal of 42030710080 is 8001703024.

It can be written as a sum of positive squares in 4 ways, for example, as 6839951616 + 35190758464 = 82704^2 + 187592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030710081) by changing a digit.

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, 160680 + ... + 331480.

It is an arithmetic number, because the mean of its divisors is an integer number (1789577955).

Almost surely, 242030710080 is an apocalyptic number.

42030710080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42030710080 is an abundant number, since it is smaller than the sum of its proper divisors (58185655400).

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

42030710080 is a wasteful number, since it uses less digits than its factorization.

42030710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171587 (or 171577 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 42030710080 in words is "forty-two billion, thirty million, seven hundred ten thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 769 1538 3076 3845 6152 7690 12304 15380 24608 30760 49216 61520 123040 170801 246080 341602 683204 854005 1366408 1708010 2732816 3416020 5465632 6832040 10931264 13664080 27328160 54656320 131345969 262691938 525383876 656729845 1050767752 1313459690 2101535504 2626919380 4203071008 5253838760 8406142016 10507677520 21015355040 42030710080