Search a number
-
+
23434103311263 = 35671451991973
BaseRepresentation
bin1010101010000001011010…
…11001110100101110011111
310001222021111221200212100000
411111000231121310232133
511032421020421430023
6121501251202105343
74636025632365321
oct525005531645637
9101867457625300
1023434103311263
117515390436677
12276582994b253
13100ca9896b498
145b03066c9611
152a9894e7d243
hex15502d674b9f

23434103311263 has 48 divisors (see below), whose sum is σ = 35651450330496. Its totient is φ = 15378938704800.

The previous prime is 23434103311261. The next prime is 23434103311331. The reversal of 23434103311263 is 36211330143432.

23434103311263 is a `hidden beast` number, since 2 + 3 + 43 + 41 + 0 + 3 + 311 + 263 = 666.

It is not a de Polignac number, because 23434103311263 - 21 = 23434103311261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434103311261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23127745 + ... + 24119717.

It is an arithmetic number, because the mean of its divisors is an integer number (742738548552).

Almost surely, 223434103311263 is an apocalyptic number.

23434103311263 is a deficient number, since it is larger than the sum of its proper divisors (12217347019233).

23434103311263 is an equidigital number, since it uses as much as digits as its factorization.

23434103311263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993506 (or 993494 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 23434103311263 its reverse (36211330143432), we get a palindrome (59645433454695).

The spelling of 23434103311263 in words is "twenty-three trillion, four hundred thirty-four billion, one hundred three million, three hundred eleven thousand, two hundred sixty-three".

Divisors: 1 3 9 27 67 81 201 243 603 1451 1809 4353 5427 13059 16281 39177 97217 117531 291651 352593 874953 991973 2624859 2975919 7874577 8927757 23623731 26783271 66462191 80349813 199386573 241049439 598159719 1439352823 1794479157 4318058469 5383437471 12954175407 16150312413 38862526221 96436639141 116587578663 289309917423 349762735989 867929752269 2603789256807 7811367770421 23434103311263