Search a number
-
+
423514338527296 = 2625724332
BaseRepresentation
bin110000001001011110001110…
…1101101001000100001000000
32001112112120112102200021012201
41200102330131231020201000
5421002324331130333141
64100423445020202544
7155130621055401412
oct14022743555104100
92045476472607181
10423514338527296
11112a43471114665
123b5bbabb099454
13152412ccc88513
1476822bc01a9b2
1533e68a703e031
hex1812f1db48840

423514338527296 has 21 divisors (see below), whose sum is σ = 840411592214221. Its totient is φ = 211757086945792.

The previous prime is 423514338527239. The next prime is 423514338527309. The reversal of 423514338527296 is 692725833415324.

The square root of 423514338527296 is 20579464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4807143950400 + 418707194576896 = 2192520^2 + 20462336^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163349496 + ... + 165921928.

Almost surely, 2423514338527296 is an apocalyptic number.

423514338527296 is the 20579464-th square number.

It is an amenable number.

423514338527296 is a deficient number, since it is larger than the sum of its proper divisors (416897253686925).

423514338527296 is an frugal number, since it uses more digits than its factorization.

423514338527296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144878 (or 2572435 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 64.

423514338527296 divided by its sum of digits (64) gives a square (6617411539489 = 25724332).

The spelling of 423514338527296 in words is "four hundred twenty-three trillion, five hundred fourteen billion, three hundred thirty-eight million, five hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 2572433 5144866 10289732 20579464 41158928 82317856 164635712 6617411539489 13234823078978 26469646157956 52939292315912 105878584631824 211757169263648 423514338527296