Search a number
-
+
42311333311324 = 22711148933922391
BaseRepresentation
bin10011001111011010111111…
…11111011111001101011100
312112210220221120022202102221
421213231133333133031130
521021212102311430244
6225553320322355124
711624615166036220
oct1147553777371534
9175726846282387
1042311333311324
1112533154666750
1248b4277abbaa4
131a7bc319470bc
14a63c45342780
154d5935336784
hex267b5ffdf35c

42311333311324 has 48 divisors (see below), whose sum is σ = 92316356246016. Its totient is φ = 16484806497600.

The previous prime is 42311333311309. The next prime is 42311333311333.

42311333311324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42311333311324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45410169 + ... + 46332559.

It is an arithmetic number, because the mean of its divisors is an integer number (1923257421792).

Almost surely, 242311333311324 is an apocalyptic number.

42311333311324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42311333311324 is an abundant number, since it is smaller than the sum of its proper divisors (50005022934692).

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

42311333311324 is a wasteful number, since it uses less digits than its factorization.

42311333311324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071346 (or 1071344 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 4231133 and 3311324, that added together give a palindrome (7542457).

The spelling of 42311333311324 in words is "forty-two trillion, three hundred eleven billion, three hundred thirty-three million, three hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 148933 297866 595732 922391 1042531 1638263 1844782 2085062 3276526 3689564 4170124 6456737 6553052 10146301 11467841 12913474 20292602 22935682 25826948 40585204 45871364 71024107 142048214 284096428 137374458803 274748917606 549497835212 961621211621 1511119046833 1923242423242 3022238093666 3846484846484 6044476187332 10577833327831 21155666655662 42311333311324