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234034302224144 = 242341131118406773
BaseRepresentation
bin110101001101101001011011…
…011100110000011100010000
31010200122110102220201001101202
4311031221123130300130100
5221133404222332133034
62145425512454250332
7100203264116064422
oct6515513334603420
91120573386631352
10234034302224144
1168630432386744
12222b94ba3569a8
13a078455ca95b6
1441b146bca0812
151c0cb814c047e
hexd4da5b730710

234034302224144 has 80 divisors (see below), whose sum is σ = 488396683361664. Its totient is φ = 108365877734400.

The previous prime is 234034302224143. The next prime is 234034302224161. The reversal of 234034302224144 is 441422203430432.

It is a junction number, because it is equal to n+sod(n) for n = 234034302224098 and 234034302224107.

It is not an unprimeable number, because it can be changed into a prime (234034302224141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57226859 + ... + 61179914.

Almost surely, 2234034302224144 is an apocalyptic number.

It is an amenable number.

234034302224144 is an abundant number, since it is smaller than the sum of its proper divisors (254362381137520).

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

234034302224144 is a wasteful number, since it uses less digits than its factorization.

234034302224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118406976 (or 118406970 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 234034302224144 its reverse (441422203430432), we get a palindrome (675456505654576).

The spelling of 234034302224144 in words is "two hundred thirty-four trillion, thirty-four billion, three hundred two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 41 46 82 92 131 164 184 262 328 368 524 656 943 1048 1886 2096 3013 3772 5371 6026 7544 10742 12052 15088 21484 24104 42968 48208 85936 123533 247066 494132 988264 1976528 118406773 236813546 473627092 947254184 1894508368 2723355779 4854677693 5446711558 9709355386 10893423116 15511287263 19418710772 21786846232 31022574526 38837421544 43573692464 62045149052 77674843088 111657586939 124090298104 223315173878 248180596208 356759607049 446630347756 635962777783 713519214098 893260695512 1271925555566 1427038428196 1786521391024 2543851111132 2854076856392 5087702222264 5708153712784 10175404444528 14627143889009 29254287778018 58508575556036 117017151112072 234034302224144