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144312142200 = 23352240520237
BaseRepresentation
bin1000011001100110101…
…1001000100101111000
3111210111100202101210120
42012121223020211320
54331022402022300
6150143542013240
713266121653312
oct2063153104570
9453440671716
10144312142200
1156225495426
1223b75a17220
13107bb073125
146db01d67b2
153b495a33a0
hex2199ac8978

144312142200 has 48 divisors (see below), whose sum is σ = 447367642680. Its totient is φ = 38483237760.

The previous prime is 144312142199. The next prime is 144312142211. The reversal of 144312142200 is 2241213441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 120259519 + ... + 120260718.

Almost surely, 2144312142200 is an apocalyptic number.

144312142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312142200 is an abundant number, since it is smaller than the sum of its proper divisors (303055500480).

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

144312142200 is a wasteful number, since it uses less digits than its factorization.

144312142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240520256 (or 240520247 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144312142200 its reverse (2241213441), we get a palindrome (146553355641).

The spelling of 144312142200 in words is "one hundred forty-four billion, three hundred twelve million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 240520237 481040474 721560711 962080948 1202601185 1443121422 1924161896 2405202370 2886242844 3607803555 4810404740 5772485688 6013005925 7215607110 9620809480 12026011850 14431214220 18039017775 24052023700 28862428440 36078035550 48104047400 72156071100 144312142200