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144305030000 = 245415679209
BaseRepresentation
bin1000011001100101000…
…0000000001101110000
3111210110212101001200202
42012121100000031300
54331014041430000
6150143125334332
713266004342115
oct2063120001560
9453425331622
10144305030000
115622147797a
1223b735673a8
13107b9752b21
146dad2a490c
153b48b4add5
hex2199400370

144305030000 has 100 divisors (see below), whose sum is σ = 349637830080. Its totient is φ = 57678912000.

The previous prime is 144305029991. The next prime is 144305030081. The reversal of 144305030000 is 30503441.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15665396 + ... + 15674604.

Almost surely, 2144305030000 is an apocalyptic number.

144305030000 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 144305030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174818915040).

144305030000 is an abundant number, since it is smaller than the sum of its proper divisors (205332800080).

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

144305030000 is an equidigital number, since it uses as much as digits as its factorization.

144305030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 144305030000 its reverse (30503441), we get a palindrome (144335533441).

The spelling of 144305030000 in words is "one hundred forty-four billion, three hundred five million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1567 2000 2500 3134 5000 6268 7835 9209 10000 12536 15670 18418 25072 31340 36836 39175 46045 62680 73672 78350 92090 125360 147344 156700 184180 195875 230225 313400 368360 391750 460450 626800 736720 783500 920900 979375 1151125 1567000 1841800 1958750 2302250 3134000 3683600 3917500 4604500 5755625 7835000 9209000 11511250 14430503 15670000 18418000 23022500 28861006 46045000 57722012 72152515 92090000 115444024 144305030 230888048 288610060 360762575 577220120 721525150 1154440240 1443050300 1803812875 2886100600 3607625750 5772201200 7215251500 9019064375 14430503000 18038128750 28861006000 36076257500 72152515000 144305030000