Search a number
-
+
234910384128 = 2223272127
BaseRepresentation
bin1101101011000111000…
…0000000000000000000
3211110100022022221120100
43122301300000000000
512322044024243003
6255525532442400
722654204214400
oct3326160000000
9743308287510
10234910384128
1190696873532
123963b019400
13191c8ac69c4
14b526740800
15619d201ba3
hex36b1c00000

234910384128 has 414 divisors, whose sum is σ = 795642596736. Its totient is φ = 66588770304.

The previous prime is 234910384097. The next prime is 234910384133. The reversal of 234910384128 is 821483019432.

234910384128 is a `hidden beast` number, since 2 + 3 + 491 + 0 + 38 + 4 + 128 = 666.

234910384128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1849688001 + ... + 1849688127.

Almost surely, 2234910384128 is an apocalyptic number.

234910384128 is a gapful number since it is divisible by the number (28) 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 234910384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397821298368).

234910384128 is an abundant number, since it is smaller than the sum of its proper divisors (560732212608).

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

234910384128 is an frugal number, since it uses more digits than its factorization.

234910384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 234910384128 in words is "two hundred thirty-four billion, nine hundred ten million, three hundred eighty-four thousand, one hundred twenty-eight".