Search a number
-
+
404201424200424 = 23379644933057281
BaseRepresentation
bin101101111100111100111101…
…0010011101010001011101000
31222000011021112020010101021020
41123321321322103222023220
5410434414004043403144
63551355323144412440
7151065406045250334
oct13371717223521350
91860137466111236
10404201424200424
111078779524a7304
1239400b3b177120
13144700527383a6
1471b564bc7a7c4
1531ae3175d3419
hex16f9e7a4ea2e8

404201424200424 has 64 divisors (see below), whose sum is σ = 1023453450720000. Its totient is φ = 133007685058560.

The previous prime is 404201424200423. The next prime is 404201424200467. The reversal of 404201424200424 is 424002424102404.

It is a super-2 number, since 2×4042014242004242 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404201424200423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4301337 + ... + 28755944.

It is an arithmetic number, because the mean of its divisors is an integer number (15991460167500).

Almost surely, 2404201424200424 is an apocalyptic number.

It is an amenable number.

404201424200424 is an abundant number, since it is smaller than the sum of its proper divisors (619252026519576).

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

404201424200424 is a wasteful number, since it uses less digits than its factorization.

404201424200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33063818 (or 33063814 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 404201424200424 its reverse (424002424102404), we get a palindrome (828203848302828).

The spelling of 404201424200424 in words is "four hundred four trillion, two hundred one billion, four hundred twenty-four million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 6449 12898 19347 25796 38694 51592 77388 154776 509471 1018942 1528413 2037884 3056826 4075768 6113652 12227304 33057281 66114562 99171843 132229124 198343686 264458248 396687372 793374744 2611525199 5223050398 7834575597 10446100796 15669151194 20892201592 31338302388 62676604776 213186405169 426372810338 639559215507 852745620676 1279118431014 1705491241352 2558236862028 5116473724056 16841726008351 33683452016702 50525178025053 67366904033404 101050356050106 134733808066808 202100712100212 404201424200424