Search a number
-
+
123142200040410 = 23518719219282013
BaseRepresentation
bin11011111111111101000111…
…000101110001101111011010
3121011000021112122111211012220
4123333331013011301233122
5112120030211202243120
61113522425024444510
734636505340635445
oct3377750705615732
9534007478454186
10123142200040410
113626734a680a41
1211989949779736
13539334b565705
14225a18584265c
15e38327ce4b40
hex6fff47171bda

123142200040410 has 32 divisors (see below), whose sum is σ = 295557069749760. Its totient is φ = 32836165604928.

The previous prime is 123142200040393. The next prime is 123142200040459. The reversal of 123142200040410 is 14040002241321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109079437 + ... + 110202576.

It is an arithmetic number, because the mean of its divisors is an integer number (9236158429680).

Almost surely, 2123142200040410 is an apocalyptic number.

123142200040410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123142200040410 is an abundant number, since it is smaller than the sum of its proper divisors (172414869709350).

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

123142200040410 is a wasteful number, since it uses less digits than its factorization.

123142200040410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219300742.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 123142200040410 its reverse (14040002241321), we get a palindrome (137182202281731).

The spelling of 123142200040410 in words is "one hundred twenty-three trillion, one hundred forty-two billion, two hundred million, forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 18719 37438 56157 93595 112314 187190 280785 561570 219282013 438564026 657846039 1096410065 1315692078 2192820130 3289230195 6578460390 4104740001347 8209480002694 12314220004041 20523700006735 24628440008082 41047400013470 61571100020205 123142200040410