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42343526400 = 212352722997
BaseRepresentation
bin100111011011110111…
…101111000000000000
311001021222211000100120
4213123313233000000
51143204420321100
631241412420240
73026212015200
oct473367570000
9131258730316
1042343526400
1116a598a911a
128258917680
133cba757386
14209992a400
15117c6050a0
hex9dbdef000

42343526400 has 936 divisors, whose sum is σ = 170208324720. Its totient is φ = 9248440320.

The previous prime is 42343526399. The next prime is 42343526437. The reversal of 42343526400 is 462534324.

42343526400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 436531152 + ... + 436531248.

Almost surely, 242343526400 is an apocalyptic number.

42343526400 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 42343526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85104162360).

42343526400 is an abundant number, since it is smaller than the sum of its proper divisors (127864798320).

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

42343526400 is a wasteful number, since it uses less digits than its factorization.

42343526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 42343526400 in words is "forty-two billion, three hundred forty-three million, five hundred twenty-six thousand, four hundred".