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142663247280 = 243252937473929
BaseRepresentation
bin1000010011011101100…
…1000110010110110000
3111122020110001212012100
42010313121012112300
54314133242403110
6145312200300400
713210220410431
oct2046731062660
9448213055170
10142663247280
1155559758254
1223795771700
13105b757ac68
146c95215488
153a9e946bc0
hex21376465b0

142663247280 has 480 divisors, whose sum is σ = 519989932800. Its totient is φ = 34969632768.

The previous prime is 142663247239. The next prime is 142663247329. The reversal of 142663247280 is 82742366241.

It is a happy number.

142663247280 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 632 + 4 + 7 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36308356 + ... + 36312284.

It is an arithmetic number, because the mean of its divisors is an integer number (1083312360).

Almost surely, 2142663247280 is an apocalyptic number.

142663247280 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 142663247280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259994966400).

142663247280 is an abundant number, since it is smaller than the sum of its proper divisors (377326685520).

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

142663247280 is a wasteful number, since it uses less digits than its factorization.

142663247280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 142663247280 in words is "one hundred forty-two billion, six hundred sixty-three million, two hundred forty-seven thousand, two hundred eighty".