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42341400192 = 2737213173099
BaseRepresentation
bin100111011011101111…
…100111111010000000
311001021211210222202010
4213123233213322000
51143203344301232
631241255052520
73026154651300
oct473357477200
9131254728663
1042341400192
1116a58686723
128258071140
133cba191670
142099535600
15117c3350cc
hex9dbbe7e80

42341400192 has 192 divisors, whose sum is σ = 140896476000. Its totient is φ = 11166898176.

The previous prime is 42341400191. The next prime is 42341400263. The reversal of 42341400192 is 29100414324.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (42341400191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158059 + ... + 331157.

Almost surely, 242341400192 is an apocalyptic number.

42341400192 is a gapful number since it is divisible by the number (42) 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 42341400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70448238000).

42341400192 is an abundant number, since it is smaller than the sum of its proper divisors (98555075808).

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

42341400192 is a wasteful number, since it uses less digits than its factorization.

42341400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173143 (or 173124 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 42341400192 in words is "forty-two billion, three hundred forty-one million, four hundred thousand, one hundred ninety-two".