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42305505040 = 2451783374783
BaseRepresentation
bin100111011001100110…
…101100011100010000
311001012100021022212001
4213121212230130100
51143120202130130
631233533443344
73025240600561
oct473146543420
9131170238761
1042305505040
1116a3a39a107
128248040554
133cb2904326
142094870168
1511790e46ca
hex9d99ac710

42305505040 has 80 divisors (see below), whose sum is σ = 105401253888. Its totient is φ = 15734847488.

The previous prime is 42305505037. The next prime is 42305505043. The reversal of 42305505040 is 4050550324.

It is an interprime number because it is at equal distance from previous prime (42305505037) and next prime (42305505043).

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

It is not an unprimeable number, because it can be changed into a prime (42305505043) 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 15 ways as a sum of consecutive naturals, for example, 74512 + ... + 300271.

Almost surely, 242305505040 is an apocalyptic number.

42305505040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42305505040 is an abundant number, since it is smaller than the sum of its proper divisors (63095748848).

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

42305505040 is a wasteful number, since it uses less digits than its factorization.

42305505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374896 (or 374890 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The spelling of 42305505040 in words is "forty-two billion, three hundred five million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 83 85 136 166 170 272 332 340 415 664 680 830 1328 1360 1411 1660 2822 3320 5644 6640 7055 11288 14110 22576 28220 56440 112880 374783 749566 1499132 1873915 2998264 3747830 5996528 6371311 7495660 12742622 14991320 25485244 29982640 31106989 31856555 50970488 62213978 63713110 101940976 124427956 127426220 155534945 248855912 254852440 311069890 497711824 509704880 528818813 622139780 1057637626 1244279560 2115275252 2488559120 2644094065 4230550504 5288188130 8461101008 10576376260 21152752520 42305505040