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42452455140 = 22325235846973
BaseRepresentation
bin100111100010010111…
…010000111011100100
311001120120210011111100
4213202113100323210
51143420312031030
631300303240100
73032003625534
oct474227207344
9131516704440
1042452455140
1117005338977
1282892a9030
1340071a5c54
1420aa1a34c4
151186e70360
hex9e25d0ee4

42452455140 has 36 divisors (see below), whose sum is σ = 128772447804. Its totient is φ = 11320654656.

The previous prime is 42452455139. The next prime is 42452455159. The reversal of 42452455140 is 4155425424.

42452455140 is a `hidden beast` number, since 4 + 2 + 45 + 24 + 551 + 40 = 666.

42452455140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22211133156 + 20241321984 = 149034^2 + 142272^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42452455095 and 42452455104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117923307 + ... + 117923666.

It is an arithmetic number, because the mean of its divisors is an integer number (3577012439).

Almost surely, 242452455140 is an apocalyptic number.

It is an amenable number.

42452455140 is an abundant number, since it is smaller than the sum of its proper divisors (86319992664).

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

42452455140 is a wasteful number, since it uses less digits than its factorization.

42452455140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235846988 (or 235846983 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 42452455140 in words is "forty-two billion, four hundred fifty-two million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 235846973 471693946 707540919 943387892 1179234865 1415081838 2122622757 2358469730 2830163676 3537704595 4245245514 4716939460 7075409190 8490491028 10613113785 14150818380 21226227570 42452455140