Search a number
-
+
144064202240 = 2957283101137
BaseRepresentation
bin1000011000101011100…
…1010100011000000000
3111202212002012202010002
42012022321110120000
54330020413432430
6150103203455132
713260021341300
oct2061271243000
9452762182102
10144064202240
1156108539472
1223b069874a8
131077b8a22aa
146d892d5600
153b32929845
hex218ae54600

144064202240 has 480 divisors, whose sum is σ = 413675960544. Its totient is φ = 47962521600.

The previous prime is 144064202231. The next prime is 144064202257. The reversal of 144064202240 is 42202460441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051563452 + ... + 1051563588.

Almost surely, 2144064202240 is an apocalyptic number.

144064202240 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 144064202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206837980272).

144064202240 is an abundant number, since it is smaller than the sum of its proper divisors (269611758304).

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

144064202240 is a wasteful number, since it uses less digits than its factorization.

144064202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 144064202240 its reverse (42202460441), we get a palindrome (186266662681).

The spelling of 144064202240 in words is "one hundred forty-four billion, sixty-four million, two hundred two thousand, two hundred forty".