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42276310272 = 283277933181
BaseRepresentation
bin100111010111110111…
…010100110100000000
311001010022100002011100
4213113313110310000
51143040213412042
631231012014400
73024434464620
oct472767246400
9131108302140
1042276310272
1116a249696a9
12823a301400
133ca9851a11
142090a30880
15117677924c
hex9d7dd4d00

42276310272 has 216 divisors, whose sum is σ = 141073936640. Its totient is φ = 11925688320.

The previous prime is 42276310249. The next prime is 42276310273. The reversal of 42276310272 is 27201367224.

It is a happy number.

42276310272 is a `hidden beast` number, since 4 + 2 + 2 + 76 + 310 + 272 = 666.

42276310272 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276310273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1257522 + ... + 1290702.

Almost surely, 242276310272 is an apocalyptic number.

42276310272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42276310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70536968320).

42276310272 is an abundant number, since it is smaller than the sum of its proper divisors (98797626368).

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

42276310272 is a wasteful number, since it uses less digits than its factorization.

42276310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33289 (or 33272 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 42276310272 its reverse (27201367224), we get a palindrome (69477677496).

The spelling of 42276310272 in words is "forty-two billion, two hundred seventy-six million, three hundred ten thousand, two hundred seventy-two".