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144204012200 = 23525961892251
BaseRepresentation
bin1000011001001100111…
…0101001101010101000
3111210012211021211022202
42012103032221222220
54330312211342300
6150125120235332
713263336610433
oct2062316515250
9453184254282
10144204012200
115617a450796
1223b4576bb48
13107a1843c91
146d9daca81a
153b3ed44ad5
hex21933a9aa8

144204012200 has 192 divisors, whose sum is σ = 350595864000. Its totient is φ = 55123200000.

The previous prime is 144204012181. The next prime is 144204012209. The reversal of 144204012200 is 2210402441.

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

It is not an unprimeable number, because it can be changed into a prime (144204012209) 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 47 ways as a sum of consecutive naturals, for example, 64061075 + ... + 64063325.

It is an arithmetic number, because the mean of its divisors is an integer number (1826020125).

Almost surely, 2144204012200 is an apocalyptic number.

144204012200 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 144204012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175297932000).

144204012200 is an abundant number, since it is smaller than the sum of its proper divisors (206391851800).

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

144204012200 is a wasteful number, since it uses less digits than its factorization.

144204012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 144204012200 its reverse (2210402441), we get a palindrome (146414414641).

The spelling of 144204012200 in words is "one hundred forty-four billion, two hundred four million, twelve thousand, two hundred".