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282535142040 = 233353137613739
BaseRepresentation
bin1000001110010000110…
…10000010001010011000
31000000021100201022121000
410013020122002022120
514112112444021130
6333443404345000
726261325040164
oct4071032021230
91000240638530
10282535142040
11a99057a3a98
1246910545160
1320848738a28
14d963817ca4
1575392b1260
hex41c8682298

282535142040 has 512 divisors, whose sum is σ = 1015077888000. Its totient is φ = 69760051200.

The previous prime is 282535142023. The next prime is 282535142041. The reversal of 282535142040 is 40241535282.

282535142040 is a `hidden beast` number, since 2 + 82 + 5 + 3 + 514 + 20 + 40 = 666.

It is a super-2 number, since 2×2825351420402 (a number of 24 digits) contains 22 as substring.

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 = 282535141986 and 282535142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282535142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75562491 + ... + 75566229.

It is an arithmetic number, because the mean of its divisors is an integer number (1982574000).

Almost surely, 2282535142040 is an apocalyptic number.

282535142040 is a gapful number since it is divisible by the number (20) 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 282535142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507538944000).

282535142040 is an abundant number, since it is smaller than the sum of its proper divisors (732542745960).

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

282535142040 is a wasteful number, since it uses less digits than its factorization.

282535142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 282535142040 in words is "two hundred eighty-two billion, five hundred thirty-five million, one hundred forty-two thousand, forty".