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142228288300 = 225271731212437
BaseRepresentation
bin1000010001110101110…
…1110111001100101100
3111121010010121122122111
42010131131313030230
54312240420211200
6145201101453404
713163356334440
oct2043535671454
9447103548574
10142228288300
115535618511a
1223693b71264
1310548419497
146c53550820
153a7667a0ba
hex211d77732c

142228288300 has 216 divisors, whose sum is σ = 385941985632. Its totient is φ = 44411443200.

The previous prime is 142228288231. The next prime is 142228288309. The reversal of 142228288300 is 3882822241.

It is not an unprimeable number, because it can be changed into a prime (142228288309) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11429682 + ... + 11442118.

It is an arithmetic number, because the mean of its divisors is an integer number (1786768452).

Almost surely, 2142228288300 is an apocalyptic number.

142228288300 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 142228288300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192970992816).

142228288300 is an abundant number, since it is smaller than the sum of its proper divisors (243713697332).

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

142228288300 is a wasteful number, since it uses less digits than its factorization.

142228288300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12499 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 142228288300 in words is "one hundred forty-two billion, two hundred twenty-eight million, two hundred eighty-eight thousand, three hundred".