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142234024000 = 2653234317977
BaseRepresentation
bin1000010001110111001…
…1101111100001000000
3111121010112102001112211
42010131303233201000
54312243402232000
6145201424431504
713163456153545
oct2043563574100
9447115361484
10142234024000
1155359442472
1223695a78594
13105496770a3
146c54204bcc
153a76e0e7ba
hex211dcef840

142234024000 has 224 divisors, whose sum is σ = 376126223616. Its totient is φ = 53151436800.

The previous prime is 142234023983. The next prime is 142234024003. The reversal of 142234024000 is 420432241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142234024003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7903012 + ... + 7920988.

Almost surely, 2142234024000 is an apocalyptic number.

142234024000 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 142234024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188063111808).

142234024000 is an abundant number, since it is smaller than the sum of its proper divisors (233892199616).

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

142234024000 is a wasteful number, since it uses less digits than its factorization.

142234024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18070 (or 18050 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 142234024000 its reverse (420432241), we get a palindrome (142654456241).

The spelling of 142234024000 in words is "one hundred forty-two billion, two hundred thirty-four million, twenty-four thousand".