Search a number
-
+
168142142080 = 275113172683
BaseRepresentation
bin1001110010011000001…
…1010111101010000000
3121002000010002211011201
42130212003113222000
510223323342021310
6205124325350544
715101501424523
oct2344603275200
9532003084151
10168142142080
1165343946000
1228706568454
1312b1808a083
1481d101cbba
1545916b3e3a
hex27260d7a80

168142142080 has 384 divisors, whose sum is σ = 470356320960. Its totient is φ = 57461719040.

The previous prime is 168142142057. The next prime is 168142142081. The reversal of 168142142080 is 80241241861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168142142081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246181419 + ... + 246182101.

Almost surely, 2168142142080 is an apocalyptic number.

168142142080 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 168142142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235178160480).

168142142080 is an abundant number, since it is smaller than the sum of its proper divisors (302214178880).

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

168142142080 is an equidigital number, since it uses as much as digits as its factorization.

168142142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 168142142080 in words is "one hundred sixty-eight billion, one hundred forty-two million, one hundred forty-two thousand, eighty".