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144849968592 = 24372313753693
BaseRepresentation
bin1000011011100110111…
…0110001110111010000
3111211212211202210220120
42012321232301313100
54333123042443332
6150313153310240
713315342263300
oct2067156616720
9454784683816
10144849968592
115648103834a
12240a5b65380
13108756105b4
1470217d7600
153b7b8de32c
hex21b9bb1dd0

144849968592 has 240 divisors, whose sum is σ = 461483177472. Its totient is φ = 38967505920.

The previous prime is 144849968591. The next prime is 144849968651. The reversal of 144849968592 is 295869948441.

It is a super-2 number, since 2×1448499685922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144849968591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2670898 + ... + 2724590.

Almost surely, 2144849968592 is an apocalyptic number.

144849968592 is a gapful number since it is divisible by the number (12) 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 144849968592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230741588736).

144849968592 is an abundant number, since it is smaller than the sum of its proper divisors (316633208880).

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

144849968592 is a wasteful number, since it uses less digits than its factorization.

144849968592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53786 (or 53773 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 69.

The spelling of 144849968592 in words is "one hundred forty-four billion, eight hundred forty-nine million, nine hundred sixty-eight thousand, five hundred ninety-two".