Search a number
-
+
144122401000 = 23531311100171
BaseRepresentation
bin1000011000111001011…
…1010101000011101000
3111210000010201112210201
42012032113111003220
54330130313313000
6150113043121544
713261326124054
oct2061627250350
9453003645721
10144122401000
115613837a016
1223b223732b4
131078a96b426
146d92d24c64
153b37ac396a
hex218e5d50e8

144122401000 has 64 divisors (see below), whose sum is σ = 339821127360. Its totient is φ = 57208840000.

The previous prime is 144122400923. The next prime is 144122401001. The reversal of 144122401000 is 104221441.

It is not an unprimeable number, because it can be changed into a prime (144122401001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419086 + ... + 681085.

It is an arithmetic number, because the mean of its divisors is an integer number (5309705115).

Almost surely, 2144122401000 is an apocalyptic number.

144122401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144122401000 is an abundant number, since it is smaller than the sum of its proper divisors (195698726360).

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

144122401000 is a wasteful number, since it uses less digits than its factorization.

144122401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100323 (or 1100309 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 144122401000 its reverse (104221441), we get a palindrome (144226622441).

The spelling of 144122401000 in words is "one hundred forty-four billion, one hundred twenty-two million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 26200 32750 65500 131000 1100171 2200342 4400684 5500855 8801368 11001710 22003420 27504275 44006840 55008550 110017100 137521375 144122401 220034200 275042750 288244802 550085500 576489604 720612005 1100171000 1152979208 1441224010 2882448020 3603060025 5764896040 7206120050 14412240100 18015300125 28824480200 36030600250 72061200500 144122401000