Search a number
-
+
423420024324 = 2231121979147353
BaseRepresentation
bin1100010100101011100…
…11001101011000000100
31111110220212110212122010
412022111303031120010
523414131011234244
6522303320334220
742406512552213
oct6122563153004
91443825425563
10423420024324
11153631624300
126a08a614370
1330c0b7302bb
14166ca78907a
15b032a24eb9
hex6295ccd604

423420024324 has 72 divisors (see below), whose sum is σ = 1086517666080. Its totient is φ = 128243392640.

The previous prime is 423420024319. The next prime is 423420024359.

423420024324 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 423420024291 and 423420024300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799832 + ... + 2947184.

It is an arithmetic number, because the mean of its divisors is an integer number (15090523140).

Almost surely, 2423420024324 is an apocalyptic number.

423420024324 is a gapful number since it is divisible by the number (44) 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 423420024324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543258833040).

423420024324 is an abundant number, since it is smaller than the sum of its proper divisors (663097641756).

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

423420024324 is a wasteful number, since it uses less digits than its factorization.

423420024324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149361 (or 149348 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 4234200 and 24324, that added together give a palindrome (4258524).

The spelling of 423420024324 in words is "four hundred twenty-three billion, four hundred twenty million, twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1979 3958 5937 7916 11874 21769 23748 43538 65307 87076 130614 147353 239459 261228 294706 442059 478918 589412 718377 884118 957836 1436754 1620883 1768236 2873508 3241766 4862649 6483532 9725298 17829713 19450596 35659426 53489139 71318852 106978278 213956556 291611587 583223174 874834761 1166446348 1749669522 3207727457 3499339044 6415454914 9623182371 12830909828 19246364742 35285002027 38492729484 70570004054 105855006081 141140008108 211710012162 423420024324