Search a number
-
+
142123300000 = 255511472749
BaseRepresentation
bin1000010001011100110…
…1010111010010100000
3111120211211001200202221
42010113031113102200
54312032031100000
6145142431320424
713160643055213
oct2042715272240
9446754050687
10142123300000
1155301996930
1223664980114
131052c74a326
146c4362177a
153a6c33c61a
hex21173574a0

142123300000 has 288 divisors, whose sum is σ = 389787552000. Its totient is φ = 50563200000.

The previous prime is 142123299971. The next prime is 142123300009. The reversal of 142123300000 is 3321241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (142123300009) 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, 51698626 + ... + 51701374.

It is an arithmetic number, because the mean of its divisors is an integer number (1353429000).

Almost surely, 2142123300000 is an apocalyptic number.

142123300000 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 142123300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776000).

142123300000 is an abundant number, since it is smaller than the sum of its proper divisors (247664252000).

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

142123300000 is an equidigital number, since it uses as much as digits as its factorization.

142123300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 142123300000 its reverse (3321241), we get a palindrome (142126621241).

The spelling of 142123300000 in words is "one hundred forty-two billion, one hundred twenty-three million, three hundred thousand".