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142237142712 = 23327975235563
BaseRepresentation
bin1000010001110111111…
…1101000111010111000
3111121010202021111121200
42010131333220322320
54312300202031322
6145202015334200
713163524523160
oct2043577507270
9447122244550
10142237142712
1155360182615
1223696b21360
131054a1c9792
146c547b75a0
153a773288ac
hex211dfe8eb8

142237142712 has 192 divisors, whose sum is σ = 445727143680. Its totient is φ = 40136103936.

The previous prime is 142237142701. The next prime is 142237142759. The reversal of 142237142712 is 217241732241.

142237142712 is a `hidden beast` number, since 1 + 4 + 223 + 7 + 1 + 427 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 25565643 + ... + 25571205.

It is an arithmetic number, because the mean of its divisors is an integer number (2321495540).

Almost surely, 2142237142712 is an apocalyptic number.

142237142712 is a gapful number since it is divisible by the number (12) 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 142237142712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222863571840).

142237142712 is an abundant number, since it is smaller than the sum of its proper divisors (303490000968).

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

142237142712 is a wasteful number, since it uses less digits than its factorization.

142237142712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6195 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

Adding to 142237142712 its reverse (217241732241), we get a palindrome (359478874953).

The spelling of 142237142712 in words is "one hundred forty-two billion, two hundred thirty-seven million, one hundred forty-two thousand, seven hundred twelve".