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4248623303041 = 132923348367201
BaseRepresentation
bin111101110100110101101…
…011101100100110000001
3120001011102212022002212011
4331310311223230212001
51024102140031144131
613011442434132521
7615644563134115
oct75646553544601
916034385262764
104248623303041
111398916103037
125874b3421141
1324a8498a7830
141098c4d87745
15757b2ed40b1
hex3dd35aec981

4248623303041 has 16 divisors (see below), whose sum is σ = 4753528612560. Its totient is φ = 3770319974400.

The previous prime is 4248623303027. The next prime is 4248623303209. The reversal of 4248623303041 is 1403033268424.

4248623303041 is digitally balanced in base 3, 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 8 ways, for example, as 1311015840016 + 2937607463025 = 1144996^2 + 1713945^2 .

It is not a de Polignac number, because 4248623303041 - 229 = 4248086432129 is a prime.

It is a super-2 number, since 2×42486233030412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4248623302985 and 4248623303003.

It is not an unprimeable number, because it can be changed into a prime (4248623303011) 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, 24095760 + ... + 24271441.

It is an arithmetic number, because the mean of its divisors is an integer number (297095538285).

Almost surely, 24248623303041 is an apocalyptic number.

It is an amenable number.

4248623303041 is a deficient number, since it is larger than the sum of its proper divisors (504905309519).

4248623303041 is a wasteful number, since it uses less digits than its factorization.

4248623303041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48367476.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 4248623303041 in words is "four trillion, two hundred forty-eight billion, six hundred twenty-three million, three hundred three thousand, forty-one".

Divisors: 1 13 29 233 377 3029 6757 87841 48367201 628773613 1402648829 11269557833 18234434777 146504251829 326817177157 4248623303041