Search a number
-
+
423024041414430 = 232537268368636899
BaseRepresentation
bin110000000101111001111010…
…1101110000100111100011110
32001110210200222210011021212100
41200023303311232010330132
5420421311214100230210
64055410321203345530
7155050323045610521
oct14013636556047436
92043720883137770
10423024041414430
11112874541189955
123b540a876822a6
1315206cc40cb2a1
1476666896d8bb8
1533d8c5d17a5c0
hex180bcf5b84f1e

423024041414430 has 192 divisors, whose sum is σ = 1130338007884800. Its totient is φ = 109684792942848.

The previous prime is 423024041414383. The next prime is 423024041414431. The reversal of 423024041414430 is 34414140420324.

423024041414430 is a `hidden beast` number, since 4 + 2 + 30 + 2 + 40 + 4 + 141 + 443 + 0 = 666.

It is a super-2 number, since 2×4230240414144302 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423024041414431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61316715121 + ... + 61316722019.

It is an arithmetic number, because the mean of its divisors is an integer number (5887177124400).

Almost surely, 2423024041414430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423024041414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565169003942400).

423024041414430 is an abundant number, since it is smaller than the sum of its proper divisors (707313966470370).

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

423024041414430 is a wasteful number, since it uses less digits than its factorization.

423024041414430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16495 (or 16492 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 423024041414430 its reverse (34414140420324), we get a palindrome (457438181834754).

The spelling of 423024041414430 in words is "four hundred twenty-three trillion, twenty-four billion, forty-one million, four hundred fourteen thousand, four hundred thirty".