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42342423040 = 29516540009
BaseRepresentation
bin100111011011110011…
…100001101000000000
311001021220201221211101
4213123303201220000
51143204130014130
631241333024144
73026166441331
oct473363415000
9131256657741
1042342423040
1116a59215155
128258485054
133cba45c0b8
142099720288
15117c4881ca
hex9dbce1a00

42342423040 has 40 divisors (see below), whose sum is σ = 101522581380. Its totient is φ = 16936968192.

The previous prime is 42342423031. The next prime is 42342423061. The reversal of 42342423040 is 4032424324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35639398656 + 6703024384 = 188784^2 + 81872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8267445 + ... + 8272564.

Almost surely, 242342423040 is an apocalyptic number.

42342423040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42342423040 is an abundant number, since it is smaller than the sum of its proper divisors (59180158340).

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

42342423040 is an equidigital number, since it uses as much as digits as its factorization.

42342423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16540032 (or 16540016 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 42342423040 its reverse (4032424324), we get a palindrome (46374847364).

The spelling of 42342423040 in words is "forty-two billion, three hundred forty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 16540009 33080018 66160036 82700045 132320072 165400090 264640144 330800180 529280288 661600360 1058560576 1323200720 2117121152 2646401440 4234242304 5292802880 8468484608 10585605760 21171211520 42342423040