Search a number
-
+
34430010231424 = 27425576320569
BaseRepresentation
bin1111101010000010111001…
…00001111000101010000000
311111220110212121111112122211
413311001130201320222000
514003100130104401144
6201120532304511504
710152325515144403
oct765013441705200
9144813777445584
1034430010231424
11aa7475a207075
123a4092491b594
1316299750b10b2
148705c83dbd3a
153ea90c128034
hex1f505c878a80

34430010231424 has 32 divisors (see below), whose sum is σ = 68592658605300. Its totient is φ = 17214597875712.

The previous prime is 34430010231367. The next prime is 34430010231427. The reversal of 34430010231424 is 42413201003443.

It can be written as a sum of positive squares in 2 ways, for example, as 32844727785024 + 1585282446400 = 5731032^2 + 1259080^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×344300102314242 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34430010231427) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2287012 + ... + 8607580.

Almost surely, 234430010231424 is an apocalyptic number.

It is an amenable number.

34430010231424 is a deficient number, since it is larger than the sum of its proper divisors (34162648373876).

34430010231424 is an equidigital number, since it uses as much as digits as its factorization.

34430010231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6363140 (or 6363128 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34430010231424 its reverse (42413201003443), we get a palindrome (76843211234867).

The spelling of 34430010231424 in words is "thirty-four trillion, four hundred thirty billion, ten million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 42557 85114 170228 340456 680912 1361824 2723648 5447296 6320569 12641138 25282276 50564552 101129104 202258208 404516416 809032832 268984454933 537968909866 1075937819732 2151875639464 4303751278928 8607502557856 17215005115712 34430010231424