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42183133440 = 283572331271
BaseRepresentation
bin100111010010010011…
…111000100100000000
311000212211000012120120
4213102103320210000
51142342340232230
631213442540240
73022223501220
oct472223704400
9130784005516
1042183133440
1116987308558
128213067680
133c93459ab6
1420824d8080
15116d4c1310
hex9d24f8900

42183133440 has 864 divisors, whose sum is σ = 168350773248. Its totient is φ = 8799436800.

The previous prime is 42183133361. The next prime is 42183133441. The reversal of 42183133440 is 4433138124.

It is not an unprimeable number, because it can be changed into a prime (42183133441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 594128605 + ... + 594128675.

It is an arithmetic number, because the mean of its divisors is an integer number (194850432).

Almost surely, 242183133440 is an apocalyptic number.

42183133440 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 42183133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84175386624).

42183133440 is an abundant number, since it is smaller than the sum of its proper divisors (126167639808).

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

42183133440 is a wasteful number, since it uses less digits than its factorization.

42183133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 42183133440 in words is "forty-two billion, one hundred eighty-three million, one hundred thirty-three thousand, four hundred forty".