Search a number
-
+
234119026944 = 28331123831613
BaseRepresentation
bin1101101000001010010…
…1001101100100000000
3211101022011020211121000
43122002211031210000
512313433432330234
6255315223132000
722625454615525
oct3320245154400
9741264224530
10234119026944
11903200a6130
1239459ba4000
1319100b7ba0a
14b48d5c514c
1561539d5899
hex368294d900

234119026944 has 576 divisors, whose sum is σ = 798097950720. Its totient is φ = 67001425920.

The previous prime is 234119026937. The next prime is 234119026949. The reversal of 234119026944 is 449620911432.

234119026944 is a `hidden beast` number, since 2 + 341 + 1 + 9 + 0 + 269 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 234119026944.

It is not an unprimeable number, because it can be changed into a prime (234119026949) 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, 145144282 + ... + 145145894.

It is an arithmetic number, because the mean of its divisors is an integer number (1385586720).

Almost surely, 2234119026944 is an apocalyptic number.

234119026944 is a gapful number since it is divisible by the number (24) 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 234119026944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399048975360).

234119026944 is an abundant number, since it is smaller than the sum of its proper divisors (563978923776).

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

234119026944 is a wasteful number, since it uses less digits than its factorization.

234119026944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 234119026944 in words is "two hundred thirty-four billion, one hundred nineteen million, twenty-six thousand, nine hundred forty-four".