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42820640040 = 2335596048113
BaseRepresentation
bin100111111000010011…
…110001110100101000
311002112020120220020010
4213320103301310220
51200144040440130
631401014531520
73044064302103
oct477023616450
9132466526203
1042820640040
1117184153712
128370666ba0
134065558339
14210304573a
1511a944c0b0
hex9f84f1d28

42820640040 has 64 divisors (see below), whose sum is σ = 130639262400. Its totient is φ = 11225295872.

The previous prime is 42820640029. The next prime is 42820640047. The reversal of 42820640040 is 4004602824.

42820640040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42820640047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3016977 + ... + 3031136.

It is an arithmetic number, because the mean of its divisors is an integer number (2041238475).

Almost surely, 242820640040 is an apocalyptic number.

42820640040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42820640040 is an abundant number, since it is smaller than the sum of its proper divisors (87818622360).

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

42820640040 is a wasteful number, since it uses less digits than its factorization.

42820640040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048186 (or 6048182 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 42820640040 in words is "forty-two billion, eight hundred twenty million, six hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 6048113 12096226 18144339 24192452 30240565 36288678 48384904 60481130 72577356 90721695 120962260 145154712 181443390 241924520 356838667 362886780 713677334 725773560 1070516001 1427354668 1784193335 2141032002 2854709336 3568386670 4282064004 5352580005 7136773340 8564128008 10705160010 14273546680 21410320020 42820640040