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144982318460 = 2257194710611093
BaseRepresentation
bin1000011100000110011…
…1101001110101111100
3111212020001210212210112
42013001213221311330
54333410433142320
6150334242125152
713321540242050
oct2070147516574
9455201725715
10144982318460
1156539814801
12241223507b8
1310896b6c825
147035209c60
153b88333ec5
hex21c19e9d7c

144982318460 has 192 divisors, whose sum is σ = 374759239680. Its totient is φ = 46004474880.

The previous prime is 144982318379. The next prime is 144982318477. The reversal of 144982318460 is 64813289441.

It is a junction number, because it is equal to n+sod(n) for n = 144982318399 and 144982318408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132645674 + ... + 132646766.

It is an arithmetic number, because the mean of its divisors is an integer number (1951871040).

Almost surely, 2144982318460 is an apocalyptic number.

144982318460 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 144982318460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187379619840).

144982318460 is an abundant number, since it is smaller than the sum of its proper divisors (229776921220).

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

144982318460 is a wasteful number, since it uses less digits than its factorization.

144982318460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 144982318460 in words is "one hundred forty-four billion, nine hundred eighty-two million, three hundred eighteen thousand, four hundred sixty".