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42239105640 = 233751732791
BaseRepresentation
bin100111010101101001…
…011001101001101000
311001000201022220000000
4213111221121221220
51143001202340030
631223202343000
73023503321404
oct472551315150
9131021286000
1042239105640
1116a05968276
12822995aa60
133ca1c26644
142089b08104
15117337a860
hex9d5a59a68

42239105640 has 256 divisors, whose sum is σ = 143410521600. Its totient is φ = 11194640640.

The previous prime is 42239105627. The next prime is 42239105653. The reversal of 42239105640 is 4650193224.

It is a happy number.

42239105640 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 9 + 1 + 0 + 5 + 640 = 666.

42239105640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42239105627) and next prime (42239105653).

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 = 42239105595 and 42239105604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15132645 + ... + 15135435.

It is an arithmetic number, because the mean of its divisors is an integer number (560197350).

Almost surely, 242239105640 is an apocalyptic number.

42239105640 is a gapful number since it is divisible by the number (40) 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 42239105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71705260800).

42239105640 is an abundant number, since it is smaller than the sum of its proper divisors (101171415960).

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

42239105640 is a wasteful number, since it uses less digits than its factorization.

42239105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 42239105640 its reverse (4650193224), we get a palindrome (46889298864).

The spelling of 42239105640 in words is "forty-two billion, two hundred thirty-nine million, one hundred five thousand, six hundred forty".