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42174594000 = 243553731123
BaseRepresentation
bin100111010001110011…
…010011101111010000
311000212012221100200000
4213101303103233100
51142333144002000
631212535530000
73022061064000
oct472163235720
9130765840600
1042174594000
1116982505770
128210229900
133c91759c86
142081314000
15116c886000
hex9d1cd3bd0

42174594000 has 1920 divisors, whose sum is σ = 202787020800. Its totient is φ = 8382528000.

The previous prime is 42174593969. The next prime is 42174594053. The reversal of 42174594000 is 49547124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1833677989 + ... + 1833678011.

It is an arithmetic number, because the mean of its divisors is an integer number (105618240).

Almost surely, 242174594000 is an apocalyptic number.

42174594000 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 42174594000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101393510400).

42174594000 is an abundant number, since it is smaller than the sum of its proper divisors (160612426800).

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

42174594000 is a wasteful number, since it uses less digits than its factorization.

42174594000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42174594000 in words is "forty-two billion, one hundred seventy-four million, five hundred ninety-four thousand".