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144473849856 = 220397
BaseRepresentation
bin1000011010001101010…
…0000000000000000000
3111210220122001000000000
42012203110000000000
54331340301143411
6150212000000000
713303124314230
oct2064324000000
9453818030000
10144473849856
11562a87a3816
1224000000000
1310815710c2b
146dc788bcc0
153b58896956
hex21a3500000

144473849856 has 420 divisors, whose sum is σ = 495330288992. Its totient is φ = 41278242816.

The previous prime is 144473849843. The next prime is 144473849873. The reversal of 144473849856 is 658948374441.

144473849856 is a `hidden beast` number, since 1 + 4 + 4 + 473 + 84 + 9 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (92897280) is a multiple of the sum of its prime divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 144473849793 and 144473849802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20639121405 + ... + 20639121411.

Almost surely, 2144473849856 is an apocalyptic number.

144473849856 is a gapful number since it is divisible by the number (16) 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 144473849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665144496).

144473849856 is an abundant number, since it is smaller than the sum of its proper divisors (350856439136).

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

144473849856 is an frugal number, since it uses more digits than its factorization.

144473849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 144473849856 in words is "one hundred forty-four billion, four hundred seventy-three million, eight hundred forty-nine thousand, eight hundred fifty-six".