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142481804160 = 2735131643881
BaseRepresentation
bin1000010010110010010…
…0111100101110000000
3111121202210122121000210
42010230210330232000
54313300320213120
6145242155314120
713202555231643
oct2045444745600
9447683577023
10142481804160
115547629a363
1223744a4b940
1310588ac0277
146c790a3a5a
153a8da55ce0
hex212c93cb80

142481804160 has 256 divisors, whose sum is σ = 458859582720. Its totient is φ = 37603737600.

The previous prime is 142481804159. The next prime is 142481804167. The reversal of 142481804160 is 61408184241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142481804167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161726920 + ... + 161727800.

It is an arithmetic number, because the mean of its divisors is an integer number (1792420245).

Almost surely, 2142481804160 is an apocalyptic number.

142481804160 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 142481804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229429791360).

142481804160 is an abundant number, since it is smaller than the sum of its proper divisors (316377778560).

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

142481804160 is a wasteful number, since it uses less digits than its factorization.

142481804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 142481804160 in words is "one hundred forty-two billion, four hundred eighty-one million, eight hundred four thousand, one hundred sixty".