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234138996288 = 263231127223463
BaseRepresentation
bin1101101000001111000…
…1011000111001000000
3211101100112211101101100
43122003301120321000
512314004040340123
6255321215134400
722626116426301
oct3320361307100
9741315741340
10234138996288
11903303a541a
1239464814400
13191050511b2
14b4921027a8
15615562c643
hex3683c58e40

234138996288 has 336 divisors, whose sum is σ = 702866784256. Its totient is φ = 74436848640.

The previous prime is 234138996269. The next prime is 234138996337. The reversal of 234138996288 is 882699831432.

234138996288 is a `hidden beast` number, since 2 + 3 + 413 + 89 + 9 + 62 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505699545 + ... + 505700007.

Almost surely, 2234138996288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234138996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351433392128).

234138996288 is an abundant number, since it is smaller than the sum of its proper divisors (468727787968).

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

234138996288 is a wasteful number, since it uses less digits than its factorization.

234138996288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 234138996288 in words is "two hundred thirty-four billion, one hundred thirty-eight million, nine hundred ninety-six thousand, two hundred eighty-eight".