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142233012000 = 25325319239041
BaseRepresentation
bin1000010001110110111…
…1111000011100100000
3111121010110111122100100
42010131233320130200
54312243122341000
6145201351022400
713163444440242
oct2043557703440
9447113448310
10142233012000
1155358911102
122369566aa00
13105493b1581
146c54020092
153a76caea00
hex211dbf8720

142233012000 has 576 divisors, whose sum is σ = 554516202240. Its totient is φ = 34366464000.

The previous prime is 142233011969. The next prime is 142233012013. The reversal of 142233012000 is 210332241.

142233012000 is a `hidden beast` number, since 142 + 23 + 301 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15727480 + ... + 15736520.

It is an arithmetic number, because the mean of its divisors is an integer number (962701740).

Almost surely, 2142233012000 is an apocalyptic number.

142233012000 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 142233012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277258101120).

142233012000 is an abundant number, since it is smaller than the sum of its proper divisors (412283190240).

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

142233012000 is a wasteful number, since it uses less digits than its factorization.

142233012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9114 (or 9093 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 142233012000 its reverse (210332241), we get a palindrome (142443344241).

The spelling of 142233012000 in words is "one hundred forty-two billion, two hundred thirty-three million, twelve thousand".