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42033031040 = 2757311132103
BaseRepresentation
bin100111001001010111…
…010010011110000000
311000111100120012210102
4213021113102132000
51142040423443130
631150521421532
73015421604000
oct471127223600
9130440505712
1042033031040
111690a606390
12819093a8a8
133c6b323400
14206a5c4000
151160221645
hex9c95d2780

42033031040 has 768 divisors, whose sum is σ = 139771008000. Its totient is φ = 11976007680.

The previous prime is 42033031003. The next prime is 42033031043. The reversal of 42033031040 is 4013033024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033031043) 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, 408087629 + ... + 408087731.

It is an arithmetic number, because the mean of its divisors is an integer number (181993500).

Almost surely, 242033031040 is an apocalyptic number.

42033031040 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 42033031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69885504000).

42033031040 is an abundant number, since it is smaller than the sum of its proper divisors (97737976960).

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

42033031040 is a wasteful number, since it uses less digits than its factorization.

42033031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 42033031040 its reverse (4013033024), we get a palindrome (46046064064).

The spelling of 42033031040 in words is "forty-two billion, thirty-three million, thirty-one thousand, forty".