Search a number
-
+
144240403020441 = 37132969867720509
BaseRepresentation
bin100000110010111110010101…
…111110111111101010011001
3200220201020200200122000122020
4200302332111332333222121
5122401213321133123231
61230435043144045053
742245011436201550
oct4062762576775231
9626636620560566
10144240403020441
1141a610141902a2
121421690b163789
136263a72238b90
1427893b6628d97
1511a20559b1396
hex832f95fbfa99

144240403020441 has 64 divisors (see below), whose sum is σ = 236820759436800. Its totient is φ = 76044750759936.

The previous prime is 144240403020407. The next prime is 144240403020457. The reversal of 144240403020441 is 144020304042441.

It is not a de Polignac number, because 144240403020441 - 214 = 144240403004057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144240403020041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7033019295 + ... + 7033039803.

It is an arithmetic number, because the mean of its divisors is an integer number (3700324366200).

Almost surely, 2144240403020441 is an apocalyptic number.

It is an amenable number.

144240403020441 is a deficient number, since it is larger than the sum of its proper divisors (92580356416359).

144240403020441 is a wasteful number, since it uses less digits than its factorization.

144240403020441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32178.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 144240403020441 its reverse (144020304042441), we get a palindrome (288260707062882).

The spelling of 144240403020441 in words is "one hundred forty-four trillion, two hundred forty billion, four hundred three million, twenty thousand, four hundred forty-one".

Divisors: 1 3 7 13 21 39 91 273 2969 8677 8907 20509 20783 26031 38597 60739 61527 62349 112801 115791 143563 182217 266617 270179 338403 430689 789607 799851 810537 1866319 2368821 5598957 25762013 60891221 77286039 177956593 180334091 182673663 334906169 426238547 533869779 541002273 791585873 1004718507 1245696151 1278715641 2313435709 2344343183 2374757619 3737088453 5541101111 6940307127 7033029549 16194049963 16623303333 48582149889 528353124617 1585059373851 3698471872319 6868590620021 11095415616957 20605771860063 48080134340147 144240403020441