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404212223142 = 2327131911291999
BaseRepresentation
bin1011110000111001110…
…11010000110010100110
31102122100020121110212100
411320130323100302212
523110311312120032
6505405330432530
741126520130650
oct5703473206246
91378306543770
10404212223142
11146475297a52
1266409a32746
132c16a206780
14157c779b6d0
15a7ab5de97c
hex5e1ced0ca6

404212223142 has 96 divisors (see below), whose sum is σ = 1083543552000. Its totient is φ = 106047195840.

The previous prime is 404212223141. The next prime is 404212223143. The reversal of 404212223142 is 241322212404.

It is a happy number.

404212223142 is a `hidden beast` number, since 4 + 0 + 421 + 2 + 2 + 231 + 4 + 2 = 666.

404212223142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (404212223141) and next prime (404212223143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404212223141) 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, 333142 + ... + 958857.

It is an arithmetic number, because the mean of its divisors is an integer number (11286912000).

Almost surely, 2404212223142 is an apocalyptic number.

404212223142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

404212223142 is an abundant number, since it is smaller than the sum of its proper divisors (679331328858).

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

404212223142 is a wasteful number, since it uses less digits than its factorization.

404212223142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292218 (or 1292215 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 404212223142 its reverse (241322212404), we get a palindrome (645534435546).

The spelling of 404212223142 in words is "four hundred four billion, two hundred twelve million, two hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 191 234 273 382 546 573 819 1146 1337 1638 1719 2483 2674 3438 4011 4966 7449 8022 12033 14898 17381 22347 24066 34762 44694 52143 104286 156429 312858 1291999 2583998 3875997 7751994 9043993 11627991 16795987 18087986 23255982 27131979 33591974 50387961 54263958 81395937 100775922 117571909 151163883 162791874 235143818 246771809 302327766 352715727 493543618 705431454 740315427 1058147181 1480630854 1727402663 2116294362 2220946281 3208033517 3454805326 4441892562 5182207989 6416067034 9624100551 10364415978 15546623967 19248201102 22456234619 28872301653 31093247934 44912469238 57744603306 67368703857 134737407714 202106111571 404212223142