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234044424440432 = 24192921412635313
BaseRepresentation
bin110101001101110010110110…
…110001111100101001110000
31010200200102120100102220202022
4311031302312301330221300
5221134040440124043212
62145434305124411012
7100204103006361164
oct6515626661745160
91120612510386668
10234044424440432
1168634757086651
12222bb464246a68
13a0793aa0b86a8
1441b1b4c358ca4
151c0d074e70772
hexd4dcb6c7ca70

234044424440432 has 40 divisors (see below), whose sum is σ = 477329259604560. Its totient is φ = 110862726865920.

The previous prime is 234044424440419. The next prime is 234044424440443.

234044424440432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2340444244404322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87493208 + ... + 90128520.

It is an arithmetic number, because the mean of its divisors is an integer number (11933231490114).

Almost surely, 2234044424440432 is an apocalyptic number.

It is an amenable number.

234044424440432 is an abundant number, since it is smaller than the sum of its proper divisors (243284835164128).

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

234044424440432 is a wasteful number, since it uses less digits than its factorization.

234044424440432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927481 (or 2927475 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 44.

The spelling of 234044424440432 in words is "two hundred thirty-four trillion, forty-four billion, four hundred twenty-four million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 292141 584282 1168564 2337128 2635313 4674256 5270626 5550679 10541252 11101358 21082504 22202716 42165008 44405432 50070947 88810864 100141894 200283788 400567576 801135152 769882975133 1539765950266 3079531900532 6159063801064 12318127602128 14627776527527 29255553055054 58511106110108 117022212220216 234044424440432