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234114210000 = 24325411236479
BaseRepresentation
bin1101101000001001001…
…0110101100011010000
3211101021211012002222200
43122002102311203100
512313431214210000
6255314532003200
722625365644126
oct3320222654320
9741254162880
10234114210000
1190318406090
1239458460500
13190ccb83358
14b48cacd916
156153383500
hex36824b58d0

234114210000 has 300 divisors, whose sum is σ = 893165095680. Its totient is φ = 56754720000.

The previous prime is 234114209993. The next prime is 234114210049. The reversal of 234114210000 is 12411432.

234114210000 is a `hidden beast` number, since 234 + 11 + 421 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 871761 + ... + 1108239.

Almost surely, 2234114210000 is an apocalyptic number.

234114210000 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 234114210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446582547840).

234114210000 is an abundant number, since it is smaller than the sum of its proper divisors (659050885680).

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

234114210000 is a wasteful number, since it uses less digits than its factorization.

234114210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236524 (or 236500 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 234114210000 its reverse (12411432), we get a palindrome (234126621432).

The spelling of 234114210000 in words is "two hundred thirty-four billion, one hundred fourteen million, two hundred ten thousand".