Search a number
-
+
404212559969898 = 2321723158209363019
BaseRepresentation
bin101101111101000010001001…
…0000011001111111001101010
31222000012100021022001002012200
41123322010102003033321222
5410440104310323014043
63551404404142521030
7151066252023603501
oct13372042203177152
91860170238032180
10404212559969898
11107881647337779
1239403128596176
131447110881b5b4
1471b5dc6bad838
1531ae76a0407d3
hex16fa1120cfe6a

404212559969898 has 96 divisors (see below), whose sum is σ = 967637825481600. Its totient is φ = 121297126883328.

The previous prime is 404212559969893. The next prime is 404212559969929. The reversal of 404212559969898 is 898969955212404.

404212559969898 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 12 + 5 + 599 + 6 + 9 + 8 + 9 + 8 = 666.

It is a super-2 number, since 2×4042125599698982 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404212559969893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113293433 + ... + 1113656451.

It is an arithmetic number, because the mean of its divisors is an integer number (10079560682100).

Almost surely, 2404212559969898 is an apocalyptic number.

404212559969898 is an abundant number, since it is smaller than the sum of its proper divisors (563425265511702).

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

404212559969898 is a wasteful number, since it uses less digits than its factorization.

404212559969898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521276 (or 521273 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 404212559969898 in words is "four hundred four trillion, two hundred twelve billion, five hundred fifty-nine million, nine hundred sixty-nine thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 158209 316418 363019 474627 726038 949254 1089057 1423881 2178114 2689553 2847762 3267171 3638807 5379106 6171323 6534342 7277614 8068659 8349437 10916421 12342646 16137318 16698874 18513969 21832842 24205977 25048311 32749263 37027938 48411954 50096622 55541907 61859719 65498526 75144933 111083814 123719438 141940429 150289866 185579157 283880858 371158314 425821287 556737471 851642574 1113474942 1277463861 2554927722 57432872971 114865745942 172298618913 344597237826 516895856739 976358840507 1033791713478 1320956078333 1952717681014 2641912156666 2929076521521 3962868234999 5858153043042 7925736469998 8787229564563 11888604704997 17574459129126 22456253331661 23777209409994 44912506663322 67368759994983 134737519989966 202106279984949 404212559969898