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234431222134432 = 2536971981600133
BaseRepresentation
bin110101010011011011000101…
…101110000011011010100000
31010202001101221221112122121211
4311103123011232003122200
5221211410120331300212
62150332114445355504
7100244045140464151
oct6523330556033240
91122041857478554
10234431222134432
11687737a5316054
1222362411b68b94
13a0a6a0047123b
1441c6762d6d928
151c181627a49a7
hexd536c5b836a0

234431222134432 has 24 divisors (see below), whose sum is σ = 461661309618516. Its totient is φ = 117183905405952.

The previous prime is 234431222134391. The next prime is 234431222134511.

234431222134432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 222162482973456 + 12268739160976 = 14905116^2 + 3502676^2 .

It is a super-2 number, since 2×2344312221344322 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 990681763 + ... + 990918370.

Almost surely, 2234431222134432 is an apocalyptic number.

It is an amenable number.

234431222134432 is a deficient number, since it is larger than the sum of its proper divisors (227230087484084).

234431222134432 is a wasteful number, since it uses less digits than its factorization.

234431222134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981603840 (or 1981603832 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 234431222134432 in words is "two hundred thirty-four trillion, four hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 3697 7394 14788 29576 59152 118304 1981600133 3963200266 7926400532 15852801064 31705602128 63411204256 7325975691701 14651951383402 29303902766804 58607805533608 117215611067216 234431222134432