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4131443653353 = 321066694303493
BaseRepresentation
bin111100000111101101001…
…110110011101011101001
3112121221222102010010122200
4330013231032303223221
51020142144033401403
612441543051410413
7604326011425302
oct74075516635351
915557872103580
104131443653353
111353154265945
12568850153a09
1323c793ac4403
14103d6a4417a9
1572705937ca3
hex3c1ed3b3ae9

4131443653353 has 12 divisors (see below), whose sum is σ = 5967698164740. Its totient is φ = 2754269307936.

The previous prime is 4131443653313. The next prime is 4131443653357. The reversal of 4131443653353 is 3533563441314.

4131443653353 is a `hidden beast` number, since 4 + 1 + 31 + 4 + 4 + 36 + 533 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2232000144144 + 1899443509209 = 1493988^2 + 1378203^2 .

It is not a de Polignac number, because 4131443653353 - 217 = 4131443522281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4131443653299 and 4131443653308.

It is not an unprimeable number, because it can be changed into a prime (4131443653357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1191726 + ... + 3111767.

It is an arithmetic number, because the mean of its divisors is an integer number (497308180395).

Almost surely, 24131443653353 is an apocalyptic number.

It is an amenable number.

4131443653353 is a deficient number, since it is larger than the sum of its proper divisors (1836254511387).

4131443653353 is a wasteful number, since it uses less digits than its factorization.

4131443653353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410168 (or 4410165 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The spelling of 4131443653353 in words is "four trillion, one hundred thirty-one billion, four hundred forty-three million, six hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 106669 320007 960021 4303493 12910479 38731437 459049294817 1377147884451 4131443653353