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234130332000 = 25353151157823
BaseRepresentation
bin1101101000001101000…
…0010101100101100000
3211101022221112012012210
43122003100111211200
512313444331111000
6255320305322120
722625652662055
oct3320320254540
9741287465183
10234130332000
1190326517854
1239461936340
13191033095b6
14b490cc902c
1561549ba350
hex3683415960

234130332000 has 384 divisors, whose sum is σ = 777952401408. Its totient is φ = 61551360000.

The previous prime is 234130331993. The next prime is 234130332001. The reversal of 234130332000 is 233031432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234130332001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284483589 + ... + 284484411.

It is an arithmetic number, because the mean of its divisors is an integer number (2025917712).

Almost surely, 2234130332000 is an apocalyptic number.

234130332000 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 234130332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388976200704).

234130332000 is an abundant number, since it is smaller than the sum of its proper divisors (543822069408).

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

234130332000 is a wasteful number, since it uses less digits than its factorization.

234130332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 234130332000 its reverse (233031432), we get a palindrome (234363363432).

The spelling of 234130332000 in words is "two hundred thirty-four billion, one hundred thirty million, three hundred thirty-two thousand".