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404241304020213 = 3111941109314386963
BaseRepresentation
bin101101111101001111100001…
…1010101000110010011110101
31222000022002110112001010111210
41123322133003111012103311
5410441042142312121323
63551425520311352033
7151101320233156452
oct13372370325062365
91860262415033453
10404241304020213
11107892857630160
123940880a982619
1314473a3992c9aa
1471b75524c2829
1531b039d77b293
hex16fa7c35464f5

404241304020213 has 64 divisors (see below), whose sum is σ = 634610132997120. Its totient is φ = 226232100057600.

The previous prime is 404241304020139. The next prime is 404241304020221. The reversal of 404241304020213 is 312020403142404.

It is not a de Polignac number, because 404241304020213 - 214 = 404241304003829 is a prime.

It is a super-2 number, since 2×4042413040202132 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404241304020223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20904270 + ... + 35291232.

It is an arithmetic number, because the mean of its divisors is an integer number (9915783328080).

Almost surely, 2404241304020213 is an apocalyptic number.

It is an amenable number.

404241304020213 is a deficient number, since it is larger than the sum of its proper divisors (230368828976907).

404241304020213 is a wasteful number, since it uses less digits than its factorization.

404241304020213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14388130.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 404241304020213 its reverse (312020403142404), we get a palindrome (716261707162617).

The spelling of 404241304020213 in words is "four hundred four trillion, two hundred forty-one billion, three hundred four million, twenty thousand, two hundred thirteen".

Divisors: 1 3 11 19 33 41 57 123 209 451 627 779 1093 1353 2337 3279 8569 12023 20767 25707 36069 44813 62301 134439 228437 492943 685311 851447 1478829 2554341 9365917 14386963 28097751 43160889 158256593 273352297 474769779 589865483 820056891 1769596449 3006875267 6488520313 9020625801 11207444177 15724950559 19465560939 33622332531 47174851677 123281885947 172974456149 298774060621 369845657841 518923368447 644722972919 896322181863 1934168918757 3286514666831 7091952702109 9859544000493 12249736485461 21275858106327 36749209456383 134747101340071 404241304020213