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42238423040 = 2125111741269
BaseRepresentation
bin100111010101100110…
…110011000000000000
311001000200001012122112
4213111212303000000
51143001014014130
631223135554452
73023464446332
oct472546630000
9131020035575
1042238423040
1116a05541440
12822968ba28
133ca1a47a38
1420899ab452
151173293495
hex9d59b3000

42238423040 has 416 divisors, whose sum is σ = 120380178240. Its totient is φ = 14050918400.

The previous prime is 42238422991. The next prime is 42238423049. The reversal of 42238423040 is 4032483224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42238422988 and 42238423006.

It is not an unprimeable number, because it can be changed into a prime (42238423049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157020026 + ... + 157020294.

Almost surely, 242238423040 is an apocalyptic number.

42238423040 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 42238423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60190089120).

42238423040 is an abundant number, since it is smaller than the sum of its proper divisors (78141755200).

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

42238423040 is a wasteful number, since it uses less digits than its factorization.

42238423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 42238423040 in words is "forty-two billion, two hundred thirty-eight million, four hundred twenty-three thousand, forty".