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144304201100 = 225223317197921
BaseRepresentation
bin1000011001100100110…
…0110101110110001100
3111210110210210221122202
42012121030311312030
54331013333413400
6150143055501032
713265664320363
oct2063114656614
9453423727582
10144304201100
1156220a61134
1223b73227778
13107b9522757
146dad12a7da
153b48a354d5
hex2199335d8c

144304201100 has 72 divisors (see below), whose sum is σ = 327787332768. Its totient is φ = 55037593600.

The previous prime is 144304201081. The next prime is 144304201193. The reversal of 144304201100 is 1102403441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630140 + ... + 828060.

It is an arithmetic number, because the mean of its divisors is an integer number (4552601844).

Almost surely, 2144304201100 is an apocalyptic number.

144304201100 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 144304201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163893666384).

144304201100 is an abundant number, since it is smaller than the sum of its proper divisors (183483131668).

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

144304201100 is a wasteful number, since it uses less digits than its factorization.

144304201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198275 (or 198268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144304201100 its reverse (1102403441), we get a palindrome (145406604541).

The spelling of 144304201100 in words is "one hundred forty-four billion, three hundred four million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 317 460 575 634 1150 1268 1585 2300 3170 6340 7291 7925 14582 15850 29164 31700 36455 72910 145820 182275 197921 364550 395842 729100 791684 989605 1979210 3958420 4552183 4948025 9104366 9896050 18208732 19792100 22760915 45521830 62740957 91043660 113804575 125481914 227609150 250963828 313704785 455218300 627409570 1254819140 1443042011 1568523925 2886084022 3137047850 5772168044 6274095700 7215210055 14430420110 28860840220 36076050275 72152100550 144304201100