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20413203444441 = 3219730737502831
BaseRepresentation
bin1001010010000110100011…
…01111010111001011011001
32200021111001020122100102100
410221003101233113023121
510133422220040210231
6111225410213554013
74204543132242003
oct451032157271331
980244036570370
1020413203444441
11656021119a695
122358270645909
13b50c591b5aa2
1450800bbc7373
15255eda9bb1e6
hex1290d1bd72d9

20413203444441 has 24 divisors (see below), whose sum is σ = 29731945186944. Its totient is φ = 13495618392480.

The previous prime is 20413203444329. The next prime is 20413203444449. The reversal of 20413203444441 is 14444430231402.

20413203444441 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 203 + 4 + 4 + 4 + 441 = 666.

It is not a de Polignac number, because 20413203444441 - 210 = 20413203443417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20413203444396 and 20413203444405.

It is not an unprimeable number, because it can be changed into a prime (20413203444449) 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 23 ways as a sum of consecutive naturals, for example, 18207105 + ... + 19295726.

It is an arithmetic number, because the mean of its divisors is an integer number (1238831049456).

Almost surely, 220413203444441 is an apocalyptic number.

It is an amenable number.

20413203444441 is a deficient number, since it is larger than the sum of its proper divisors (9318741742503).

20413203444441 is a wasteful number, since it uses less digits than its factorization.

20413203444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37503341 (or 37503338 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 20413203444441 its reverse (14444430231402), we get a palindrome (34857633675843).

The spelling of 20413203444441 in words is "twenty trillion, four hundred thirteen billion, two hundred three million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 3 9 197 307 591 921 1773 2763 60479 181437 544311 37502831 112508493 337525479 7388057707 11513369117 22164173121 34540107351 66492519363 103620322053 2268133716049 6804401148147 20413203444441