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42136342332 = 2237192310910531
BaseRepresentation
bin100111001111100001…
…011000111100111100
311000202112221222020120
4213033201120330330
51142243400423312
631205052014540
73021115000050
oct471741307474
9130675858216
1042136342332
1116962959717
1281bb461450
133c86856156
14207a1d7c60
15116932c28c
hex9cf858f3c

42136342332 has 192 divisors, whose sum is σ = 124564070400. Its totient is φ = 10808328960.

The previous prime is 42136342301. The next prime is 42136342357. The reversal of 42136342332 is 23324363124.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42136342293 and 42136342302.

It is a congruent number.

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, 3995907 + ... + 4006437.

It is an arithmetic number, because the mean of its divisors is an integer number (648771200).

Almost surely, 242136342332 is an apocalyptic number.

42136342332 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 42136342332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62282035200).

42136342332 is an abundant number, since it is smaller than the sum of its proper divisors (82427728068).

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

42136342332 is a wasteful number, since it uses less digits than its factorization.

42136342332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696 (or 10694 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

The spelling of 42136342332 in words is "forty-two billion, one hundred thirty-six million, three hundred forty-two thousand, three hundred thirty-two".