Search a number
-
+
20144255244102 = 232117313710399791
BaseRepresentation
bin1001001010010001100110…
…01011011001011101000110
32122022202211210011011221100
410211020303023121131012
510120020413320302402
6110502050524400530
74146242265250443
oct445106313313506
978282753134840
1020144255244102
116467148a20040
1223141123a6146
13b31797624a42
144d8db6a829ca
1524dee944a71c
hex1252332d9746

20144255244102 has 192 divisors, whose sum is σ = 48670006394880. Its totient is φ = 5970389990400.

The previous prime is 20144255244097. The next prime is 20144255244119.

20144255244102 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 4 + 25 + 524 + 4 + 102 = 666.

20144255244102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057420827 + ... + 2057430617.

It is an arithmetic number, because the mean of its divisors is an integer number (253489616640).

Almost surely, 220144255244102 is an apocalyptic number.

20144255244102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20144255244102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24335003197440).

20144255244102 is an abundant number, since it is smaller than the sum of its proper divisors (28525751150778).

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

20144255244102 is a wasteful number, since it uses less digits than its factorization.

20144255244102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11056 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 2014425 and 5244102, that added together give a palindrome (7258527).

The spelling of 20144255244102 in words is "twenty trillion, one hundred forty-four billion, two hundred fifty-five million, two hundred forty-four thousand, one hundred two".