Search a number
-
+
235454505342144 = 263111993229173497
BaseRepresentation
bin110101100010010100000110…
…001001101101010011000000
31010212200020020022102120122020
4311202110012021231103000
5221330141311331422034
62152434150112041440
7100411012065313224
oct6542240611552300
91125606208376566
10235454505342144
1169028770a85570
12224a87b1533280
13a14c35939765a
1442200b7746784
151c34aa311e249
hexd6250626d4c0

235454505342144 has 224 divisors, whose sum is σ = 683237899968000. Its totient is φ = 70968913551360.

The previous prime is 235454505342011. The next prime is 235454505342169. The reversal of 235454505342144 is 441243505454532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357023204 + ... + 1357196700.

Almost surely, 2235454505342144 is an apocalyptic number.

235454505342144 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 235454505342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341618949984000).

235454505342144 is an abundant number, since it is smaller than the sum of its proper divisors (447783394625856).

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

235454505342144 is a wasteful number, since it uses less digits than its factorization.

235454505342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176951 (or 176941 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 51.

The spelling of 235454505342144 in words is "two hundred thirty-five trillion, four hundred fifty-four billion, five hundred five million, three hundred forty-two thousand, one hundred forty-four".