Search a number
-
+
404332114440012 = 2231129109579639947
BaseRepresentation
bin101101111101111001110100…
…0000011010110111101001100
31222000121202212020212102121020
41123323303220003112331030
5410444034132244040022
63551535335322034140
7151111013503045113
oct13373635003267514
91860552766772536
10404332114440012
11107918317759680
1239422333048950
131447c47c6127c5
1471bbac8c9cc7a
1531b2915d3c35c
hex16fbce80d6f4c

404332114440012 has 96 divisors (see below), whose sum is σ = 1064796265854720. Its totient is φ = 118289078181120.

The previous prime is 404332114439993. The next prime is 404332114440161. The reversal of 404332114440012 is 210044411233404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37123423 + ... + 46763369.

It is an arithmetic number, because the mean of its divisors is an integer number (11091627769320).

Almost surely, 2404332114440012 is an apocalyptic number.

It is an amenable number.

404332114440012 is an abundant number, since it is smaller than the sum of its proper divisors (660464151414708).

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

404332114440012 is a wasteful number, since it uses less digits than its factorization.

404332114440012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650951 (or 9650949 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 404332114440012 its reverse (210044411233404), we get a palindrome (614376525673416).

The spelling of 404332114440012 in words is "four hundred four trillion, three hundred thirty-two billion, one hundred fourteen million, four hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 10957 21914 32871 43828 65742 120527 131484 241054 317753 361581 482108 635506 723162 953259 1271012 1446324 1906518 3495283 3813036 6990566 9639947 10485849 13981132 19279894 20971698 28919841 38559788 41943396 57839682 106039417 115679364 212078834 279558463 318118251 424157668 559116926 636236502 838675389 1118233852 1272473004 1677350778 3075143093 3354701556 6150286186 9225429279 12300572372 18450858558 36901717116 105624899279 211249798558 316874697837 422499597116 633749395674 1161873892069 1267498791348 2323747784138 3063122079091 3485621676207 4647495568276 6126244158182 6971243352414 9189366237273 12252488316364 13942486704828 18378732474546 33694342870001 36757464949092 67388685740002 101083028610003 134777371480004 202166057220006 404332114440012