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144204313020 = 2235238910710973
BaseRepresentation
bin1000011001001100111…
…1110011000110111100
3111210012211212002222020
42012103033303012330
54330312301004040
6150125130520140
713263342302445
oct2062317630674
9453184762866
10144204313020
115617a6367a9
1223b45896050
13107a191ab91
146d9db682cc
153b3eda3cd0
hex21933f31bc

144204313020 has 192 divisors, whose sum is σ = 430082472960. Its totient is φ = 36026079232.

The previous prime is 144204313009. The next prime is 144204313021. The reversal of 144204313020 is 20313402441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144204313021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13136254 + ... + 13147226.

It is an arithmetic number, because the mean of its divisors is an integer number (2240012880).

Almost surely, 2144204313020 is an apocalyptic number.

144204313020 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 144204313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215041236480).

144204313020 is an abundant number, since it is smaller than the sum of its proper divisors (285878159940).

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

144204313020 is a wasteful number, since it uses less digits than its factorization.

144204313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11202 counting only the distinct ones).

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

Adding to 144204313020 its reverse (20313402441), we get a palindrome (164517715461).

The spelling of 144204313020 in words is "one hundred forty-four billion, two hundred four million, three hundred thirteen thousand, twenty".