Search a number
-
+
2340114132330 = 23551317232947139
BaseRepresentation
bin100010000011011001101…
…010111110110101101010
322021201020120120221100000
4202003121222332311222
5301320023204213310
64551011131123430
7331032131633502
oct42033152766552
98251216527300
102340114132330
1182248946a467
123196435a3576
1313c896c96750
14813953cca02
1540d121ba4c0
hex220d9abed6a

2340114132330 has 1536 divisors, whose sum is σ = 7988701593600. Its totient is φ = 486512345088.

The previous prime is 2340114132289. The next prime is 2340114132331. The reversal of 2340114132330 is 332314110432.

It is a happy number.

2340114132330 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 11 + 413 + 233 + 0 = 666.

It is a super-2 number, since 2×23401141323302 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2340114132294 and 2340114132303.

It is not an unprimeable number, because it can be changed into a prime (2340114132331) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 16835353401 + ... + 16835353539.

It is an arithmetic number, because the mean of its divisors is an integer number (5200977600).

Almost surely, 22340114132330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340114132330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994350796800).

2340114132330 is an abundant number, since it is smaller than the sum of its proper divisors (5648587461270).

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

2340114132330 is a wasteful number, since it uses less digits than its factorization.

2340114132330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2340114132330 its reverse (332314110432), we get a palindrome (2672428242762).

The spelling of 2340114132330 in words is "two trillion, three hundred forty billion, one hundred fourteen million, one hundred thirty-two thousand, three hundred thirty".