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234942519450000 = 24355233116313477
BaseRepresentation
bin110101011010110111010001…
…011010100001100110010000
31010210212021201010122110101110
4311122313101122201212100
5221243244234434400000
62151403034201333320
7100326015436115565
oct6532672132414620
91123767633573343
10234942519450000
116895062132198a
1222425526497240
13a112ca4cb460b
1442033c873886c
151c265da105850
hexd5add16a1990

234942519450000 has 960 divisors, whose sum is σ = 822213198987264. Its totient is φ = 57634156800000.

The previous prime is 234942519449959. The next prime is 234942519450007. The reversal of 234942519450000 is 54915249432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (234942519450007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17432843262 + ... + 17432856738.

Almost surely, 2234942519450000 is an apocalyptic number.

234942519450000 is a gapful number since it is divisible by the number (20) 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 234942519450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411106599493632).

234942519450000 is an abundant number, since it is smaller than the sum of its proper divisors (587270679537264).

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

234942519450000 is a wasteful number, since it uses less digits than its factorization.

234942519450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13730 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 234942519450000 in words is "two hundred thirty-four trillion, nine hundred forty-two billion, five hundred nineteen million, four hundred fifty thousand".