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4130213411232 = 253214341018789
BaseRepresentation
bin111100000110100011111…
…001110011100110100000
3112121211210200012100201200
4330012203321303212200
51020132134113124412
612441221023201200
7604253352512466
oct74064371634640
915554720170650
104130213411232
111352682883817
12568568146200
1323c628c719ac
14103c90cbc836
15726829269dc
hex3c1a3e739a0

4130213411232 has 36 divisors (see below), whose sum is σ = 11745294389010. Its totient is φ = 1376737803648.

The previous prime is 4130213411231. The next prime is 4130213411239. The reversal of 4130213411232 is 2321143120314.

4130213411232 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 2 + 13 + 411 + 232 = 666.

4130213411232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3410980509456 + 719232901776 = 1846884^2 + 848076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 4130213411196 and 4130213411205.

It is not an unprimeable number, because it can be changed into a prime (4130213411231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7170509107 + ... + 7170509682.

Almost surely, 24130213411232 is an apocalyptic number.

It is an amenable number.

4130213411232 is an abundant number, since it is smaller than the sum of its proper divisors (7615080977778).

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

4130213411232 is a wasteful number, since it uses less digits than its factorization.

4130213411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14341018805 (or 14341018794 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4130213411232 its reverse (2321143120314), we get a palindrome (6451356531546).

The spelling of 4130213411232 in words is "four trillion, one hundred thirty billion, two hundred thirteen million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14341018789 28682037578 43023056367 57364075156 86046112734 114728150312 129069169101 172092225468 229456300624 258138338202 344184450936 458912601248 516276676404 688368901872 1032553352808 1376737803744 2065106705616 4130213411232