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42358134000 = 24353713233373
BaseRepresentation
bin100111011100101111…
…011101010011110000
311001100000022011012210
4213130233131103300
51143222140242000
631243053452120
73026450125020
oct473457352360
9131300264183
1042358134000
1116a67076016
1282617a1040
133cc07a0220
14209b84da80
15117da3d350
hex9dcbdd4f0

42358134000 has 640 divisors, whose sum is σ = 175436771328. Its totient is φ = 8545996800.

The previous prime is 42358133981. The next prime is 42358134029. The reversal of 42358134000 is 43185324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12556314 + ... + 12559686.

Almost surely, 242358134000 is an apocalyptic number.

42358134000 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 42358134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87718385664).

42358134000 is an abundant number, since it is smaller than the sum of its proper divisors (133078637328).

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

42358134000 is a wasteful number, since it uses less digits than its factorization.

42358134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 42358134000 in words is "forty-two billion, three hundred fifty-eight million, one hundred thirty-four thousand".