Search a number
-
+
320324014440324 = 223229722214248401
BaseRepresentation
bin100100011010101010011111…
…1000101111111111110000100
31120000011200021022202002100200
41020311110333011333332010
5313441142040144042244
63053134453140210500
7124320434456020026
oct11065247705777604
91500150238662320
10320324014440324
119307971935a254
122bb14b34399a30
131099756a7cb44b
145915a9d310016
152707569298669
hex123553f17ff84

320324014440324 has 72 divisors (see below), whose sum is σ = 837640683636120. Its totient is φ = 103091334528000.

The previous prime is 320324014440323. The next prime is 320324014440377. The reversal of 320324014440324 is 423044410423023.

320324014440324 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 240 + 1 + 4 + 4 + 403 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19392837912900 + 300931176527424 = 4403730^2 + 17347368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (320324014440323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73274524 + ... + 77522924.

It is an arithmetic number, because the mean of its divisors is an integer number (11633898383835).

Almost surely, 2320324014440324 is an apocalyptic number.

It is an amenable number.

320324014440324 is an abundant number, since it is smaller than the sum of its proper divisors (517316669195796).

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

320324014440324 is a wasteful number, since it uses less digits than its factorization.

320324014440324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320661 (or 4320656 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 320324014440324 its reverse (423044410423023), we get a palindrome (743368424863347).

The spelling of 320324014440324 in words is "three hundred twenty trillion, three hundred twenty-four billion, fourteen million, four hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 72221 144442 216663 288884 433326 649989 866652 1299978 2094409 2599956 4188818 4248401 6283227 8377636 8496802 12566454 12745203 16993604 18849681 25132908 25490406 37699362 38235609 50980812 75398724 76471218 123203629 152942436 246407258 369610887 492814516 739221774 1108832661 1478443548 2217665322 4435330644 306823768621 613647537242 920471305863 1227295074484 1840942611726 2761413917589 3681885223452 5522827835178 8897889290009 11045655670356 17795778580018 26693667870027 35591557160036 53387335740054 80081003610081 106774671480108 160162007220162 320324014440324