Search a number
-
+
142431341000 = 23531322336643
BaseRepresentation
bin1000010010100110010…
…0011100100111001000
3111121122021200210120212
42010221210130213020
54313144410403000
6145233153540252
713201403265014
oct2045144344710
9447567623525
10142431341000
115544a862673
122372bb74688
131057b502100
146c724c9544
153a893d8c35
hex212991c9c8

142431341000 has 192 divisors, whose sum is σ = 376600648320. Its totient is φ = 50302137600.

The previous prime is 142431340969. The next prime is 142431341057. The reversal of 142431341000 is 143134241.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3868679 + ... + 3905321.

It is an arithmetic number, because the mean of its divisors is an integer number (1961461710).

Almost surely, 2142431341000 is an apocalyptic number.

142431341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142431341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188300324160).

142431341000 is an abundant number, since it is smaller than the sum of its proper divisors (234169307320).

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

142431341000 is a wasteful number, since it uses less digits than its factorization.

142431341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36713 (or 36686 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 142431341000 its reverse (143134241), we get a palindrome (142574475241).

The spelling of 142431341000 in words is "one hundred forty-two billion, four hundred thirty-one million, three hundred forty-one thousand".