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42062135040 = 2832523158749
BaseRepresentation
bin100111001011000110…
…010011111100000000
311000120101022211222100
4213023012103330000
51142120401310130
631153441310400
73016224151212
oct471306237400
9130511284870
1042062135040
1116924a84682
12819a635400
133c74373603
1420703dc5b2
151162a6ec60
hex9cb193f00

42062135040 has 216 divisors, whose sum is σ = 151858980000. Its totient is φ = 10728824832.

The previous prime is 42062134997. The next prime is 42062135099. The reversal of 42062135040 is 4053126024.

42062135040 is a `hidden beast` number, since 4 + 2 + 0 + 621 + 35 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42062134995 and 42062135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185586 + ... + 344334.

Almost surely, 242062135040 is an apocalyptic number.

42062135040 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 42062135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75929490000).

42062135040 is an abundant number, since it is smaller than the sum of its proper divisors (109796844960).

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

42062135040 is a wasteful number, since it uses less digits than its factorization.

42062135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158799 (or 158782 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 42062135040 in words is "forty-two billion, sixty-two million, one hundred thirty-five thousand, forty".