Search a number
-
+
140022030000000 = 2735717733761
BaseRepresentation
bin11111110101100101101011…
…010110111101111110000000
3200100202222100000120111100010
4133311211223112331332000
5121323110104140000000
61213445122122224520
741331154302143241
oct3765455326757600
9610688300514303
10140022030000000
1140685011628315
121385525a655140
136019036837665
14268116103acc8
15112c463593d50
hex7f596b5bdf80

140022030000000 has 1024 divisors, whose sum is σ = 499139706574080. Its totient is φ = 34652160000000.

The previous prime is 140022029999941. The next prime is 140022030000011. The reversal of 140022030000000 is 30220041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37229998120 + ... + 37230001880.

Almost surely, 2140022030000000 is an apocalyptic number.

140022030000000 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 140022030000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249569853287040).

140022030000000 is an abundant number, since it is smaller than the sum of its proper divisors (359117676574080).

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

140022030000000 is an frugal number, since it uses more digits than its factorization.

140022030000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 140022030000000 its reverse (30220041), we get a palindrome (140022060220041).

The spelling of 140022030000000 in words is "one hundred forty trillion, twenty-two billion, thirty million", and thus it is an aban number.