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234341142000 = 24353743129757
BaseRepresentation
bin1101101000111111010…
…0100000110111110000
3211101212122012110011120
43122033310200313300
512314412313021000
6255353235542240
722634122561350
oct3321764406760
9741778173146
10234341142000
1190424513499
123950045a980
1319137baa044
14b4b0cc2b60
15616825c6a0
hex368fd20df0

234341142000 has 320 divisors, whose sum is σ = 883533640704. Its totient is φ = 52317619200.

The previous prime is 234341141981. The next prime is 234341142019. The reversal of 234341142000 is 241143432.

It is an interprime number because it is at equal distance from previous prime (234341141981) and next prime (234341142019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1741122 + ... + 1870878.

Almost surely, 2234341142000 is an apocalyptic number.

234341142000 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 234341142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441766820352).

234341142000 is an abundant number, since it is smaller than the sum of its proper divisors (649192498704).

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

234341142000 is a wasteful number, since it uses less digits than its factorization.

234341142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129833 (or 129817 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234341142000 its reverse (241143432), we get a palindrome (234582285432).

The spelling of 234341142000 in words is "two hundred thirty-four billion, three hundred forty-one million, one hundred forty-two thousand".