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42428324440 = 23510310298137
BaseRepresentation
bin100111100000111011…
…001101101001011000
311001111220101012101201
4213200323031221120
51143343122340230
631254042123544
73031261543615
oct474073155130
9131456335351
1042428324440
1116aa2757147
1282811b05b4
1340021a7628
1420a6cc150c
151184ca55ca
hex9e0ecda58

42428324440 has 32 divisors (see below), whose sum is σ = 96390571680. Its totient is φ = 16806557952.

The previous prime is 42428324387. The next prime is 42428324443. The reversal of 42428324440 is 4442382424.

42428324440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42428324440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42428324443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5144949 + ... + 5153188.

It is an arithmetic number, because the mean of its divisors is an integer number (3012205365).

Almost surely, 242428324440 is an apocalyptic number.

42428324440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42428324440 is an abundant number, since it is smaller than the sum of its proper divisors (53962247240).

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

42428324440 is a wasteful number, since it uses less digits than its factorization.

42428324440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10298251 (or 10298247 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 37.

The spelling of 42428324440 in words is "forty-two billion, four hundred twenty-eight million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 10298137 20596274 41192548 51490685 82385096 102981370 205962740 411925480 1060708111 2121416222 4242832444 5303540555 8485664888 10607081110 21214162220 42428324440