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144030302300 = 225216717349853
BaseRepresentation
bin1000011000100011100…
…0000000000001011100
3111202202201102110010202
42012020320000001130
54324433224133200
6150055553123032
713256130240533
oct2061070000134
9452681373122
10144030302300
11560a0394995
1223ab7559478
1310774863161
146d849cd31a
153b2e9801d5
hex2188e0005c

144030302300 has 72 divisors (see below), whose sum is σ = 316241071776. Its totient is φ = 56934972160.

The previous prime is 144030302293. The next prime is 144030302303. The reversal of 144030302300 is 3203030441.

144030302300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144030302303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2864174 + ... + 2914026.

It is an arithmetic number, because the mean of its divisors is an integer number (4392237108).

Almost surely, 2144030302300 is an apocalyptic number.

144030302300 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 144030302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158120535888).

144030302300 is an abundant number, since it is smaller than the sum of its proper divisors (172210769476).

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

144030302300 is a wasteful number, since it uses less digits than its factorization.

144030302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50207 (or 50200 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 144030302300 its reverse (3203030441), we get a palindrome (147233332741).

The spelling of 144030302300 in words is "one hundred forty-four billion, thirty million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 173 334 346 668 692 835 865 1670 1730 3340 3460 4175 4325 8350 8650 16700 17300 28891 49853 57782 99706 115564 144455 199412 249265 288910 498530 577820 722275 997060 1246325 1444550 2492650 2889100 4985300 8325451 8624569 16650902 17249138 33301804 34498276 41627255 43122845 83254510 86245690 166509020 172491380 208136275 215614225 416272550 431228450 832545100 862456900 1440303023 2880606046 5761212092 7201515115 14403030230 28806060460 36007575575 72015151150 144030302300