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144245200000 = 27551132783
BaseRepresentation
bin1000011001010110101…
…1110001010010000000
3111210022200210101100211
42012111223301102000
54330403232400000
6150133151123504
713264346653456
oct2062553612200
9453280711324
10144245200000
11561a07227a0
1223b57513594
13107aa235365
146da536c9d6
153b4377d7ba
hex2195af1480

144245200000 has 192 divisors, whose sum is σ = 391846170240. Its totient is φ = 52451200000.

The previous prime is 144245199941. The next prime is 144245200009. The reversal of 144245200000 is 2542441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144245200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4383609 + ... + 4416391.

It is an arithmetic number, because the mean of its divisors is an integer number (2040865470).

Almost surely, 2144245200000 is an apocalyptic number.

144245200000 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 144245200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195923085120).

144245200000 is an abundant number, since it is smaller than the sum of its proper divisors (247600970240).

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

144245200000 is an frugal number, since it uses more digits than its factorization.

144245200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32833 (or 32801 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 144245200000 its reverse (2542441), we get a palindrome (144247742441).

The spelling of 144245200000 in words is "one hundred forty-four billion, two hundred forty-five million, two hundred thousand".