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144041232300 = 223527435330097
BaseRepresentation
bin1000011000100110000…
…1101100011110101100
3111202210110222202021120
42012021201230132230
54324444023413200
6150101023300540
713256322162450
oct2061141543654
9452713882246
10144041232300
11560a657a849
1223abb14a750
1310776bbc104
146d86236660
153b308dd9a0
hex218986c7ac

144041232300 has 288 divisors, whose sum is σ = 496585216512. Its totient is φ = 31550238720.

The previous prime is 144041232299. The next prime is 144041232319. The reversal of 144041232300 is 3232140441.

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 95 ways as a sum of consecutive naturals, for example, 4770852 + ... + 4800948.

It is an arithmetic number, because the mean of its divisors is an integer number (1724254224).

Almost surely, 2144041232300 is an apocalyptic number.

144041232300 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 144041232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248292608256).

144041232300 is an abundant number, since it is smaller than the sum of its proper divisors (352543984212).

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

144041232300 is a wasteful number, since it uses less digits than its factorization.

144041232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30217 (or 30210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144041232300 its reverse (3232140441), we get a palindrome (147273372741).

The spelling of 144041232300 in words is "one hundred forty-four billion, forty-one million, two hundred thirty-two thousand, three hundred".