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142321121830272 = 2737113194095119
BaseRepresentation
bin100000010111000010110111…
…111010010010010110000000
3200122220202200200110120101110
4200113002313322102112000
5122123242124142032042
61222405230515203320
741656235034230550
oct4027026772222600
9618822620416343
10142321121830272
1141391059a73000
1213b669538a6540
136154a93a03498
142720544187160
15116c17413d09c
hex8170b7e92580

142321121830272 has 1024 divisors, whose sum is σ = 501550940160000. Its totient is φ = 34928468213760.

The previous prime is 142321121830259. The next prime is 142321121830297. The reversal of 142321121830272 is 272038121123241.

It is a self number, because there is not a number n which added to its sum of digits gives 142321121830272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27802521729 + ... + 27802526847.

It is an arithmetic number, because the mean of its divisors is an integer number (489795840000).

Almost surely, 2142321121830272 is an apocalyptic number.

142321121830272 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 142321121830272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250775470080000).

142321121830272 is an abundant number, since it is smaller than the sum of its proper divisors (359229818329728).

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

142321121830272 is a wasteful number, since it uses less digits than its factorization.

142321121830272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5570 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 142321121830272 in words is "one hundred forty-two trillion, three hundred twenty-one billion, one hundred twenty-one million, eight hundred thirty thousand, two hundred seventy-two".