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144035133324324 = 223113374305175211
BaseRepresentation
bin100000101111111111001010…
…111101001111110000100100
3200212222121212002111001001120
4200233333022331033300210
5122334332423112334244
61230200454330053540
742224123606443164
oct4057771275176044
9625877762431046
10144035133324324
1141991a58856440
12141a2b8287a2b0
13624a5bb240728
14277d4a27205a4
15119ba3eab0819
hex82ffcaf4fc24

144035133324324 has 96 divisors (see below), whose sum is σ = 367736253061632. Its totient is φ = 43515904320000.

The previous prime is 144035133324319. The next prime is 144035133324353. The reversal of 144035133324324 is 423423331530441.

It is a super-2 number, since 2×1440351333243242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1915043079 + ... + 1915118289.

It is an arithmetic number, because the mean of its divisors is an integer number (3830585969392).

Almost surely, 2144035133324324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144035133324324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183868126530816).

144035133324324 is an abundant number, since it is smaller than the sum of its proper divisors (223701119737308).

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

144035133324324 is a wasteful number, since it uses less digits than its factorization.

144035133324324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118617 (or 118615 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 144035133324324 its reverse (423423331530441), we get a palindrome (567458464854765).

The spelling of 144035133324324 in words is "one hundred forty-four trillion, thirty-five billion, one hundred thirty-three million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 337 674 1011 1348 2022 3707 4044 7414 11121 14828 22242 43051 44484 75211 86102 129153 150422 172204 225633 258306 300844 451266 473561 516612 827321 902532 947122 1420683 1654642 1894244 2481963 2841366 3309284 4963926 5682732 9927852 14508187 25346107 29016374 43524561 50692214 58032748 76038321 87049122 101384428 152076642 159590057 174098244 278807177 304153284 319180114 478770171 557614354 638360228 836421531 957540342 1115228708 1672843062 1915080684 3237908761 3345686124 6475817522 9713726283 12951635044 19427452566 35616996371 38854905132 71233992742 106850989113 142467985484 213701978226 427403956452 1091175252457 2182350504914 3273525757371 4364701009828 6547051514742 12002927777027 13094103029484 24005855554054 36008783331081 48011711108108 72017566662162 144035133324324