Search a number
-
+
2314233423540 = 2233565313674801
BaseRepresentation
bin100001101011010011000…
…011111010011010110100
322012020102220110201012000
4201223103003322122310
5300404022224023130
64531051045455300
7326124601351143
oct41532303723264
98166386421160
102314233423540
11812508487935
12314620111530
1313a30115c48c
148001c0ab75a
15402ea02c260
hex21ad30fa6b4

2314233423540 has 192 divisors, whose sum is σ = 7217641105920. Its totient is φ = 615604838400.

The previous prime is 2314233423533. The next prime is 2314233423599. The reversal of 2314233423540 is 453243324132.

2314233423540 is a `hidden beast` number, since 2 + 3 + 1 + 42 + 33 + 42 + 3 + 540 = 666.

2314233423540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23142334235403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314233423495 and 2314233423504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482029140 + ... + 482033940.

It is an arithmetic number, because the mean of its divisors is an integer number (37591880760).

Almost surely, 22314233423540 is an apocalyptic number.

2314233423540 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 2314233423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608820552960).

2314233423540 is an abundant number, since it is smaller than the sum of its proper divisors (4903407682380).

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

2314233423540 is a wasteful number, since it uses less digits than its factorization.

2314233423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6839 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 2314233423540 its reverse (453243324132), we get a palindrome (2767476747672).

The spelling of 2314233423540 in words is "two trillion, three hundred fourteen billion, two hundred thirty-three million, four hundred twenty-three thousand, five hundred forty".