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42057180000 = 2532541121931
BaseRepresentation
bin100111001010110011…
…011010001101100000
311000120001000002221100
4213022303122031200
51142113114230000
631153143154400
73016134063063
oct471263321540
9130501002840
1042057180000
11169221aa900
128198a45a00
133c7332a134
14206d8ac8da
1511623e1a00
hex9cacda360

42057180000 has 540 divisors, whose sum is σ = 164359078884. Its totient is φ = 10190400000.

The previous prime is 42057179963. The next prime is 42057180007. The reversal of 42057180000 is 8175024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42057180007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 21779035 + ... + 21780965.

Almost surely, 242057180000 is an apocalyptic number.

42057180000 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 42057180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82179539442).

42057180000 is an abundant number, since it is smaller than the sum of its proper divisors (122301898884).

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

42057180000 is a wasteful number, since it uses less digits than its factorization.

42057180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 42057180000 in words is "forty-two billion, fifty-seven million, one hundred eighty thousand".