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144022414024321 = 7173759554407873
BaseRepresentation
bin100000101111110011010100…
…110100111101111010000001
3200212221102000122212122121021
4200233303110310331322001
5122334130400442234241
61230150552243225441
742223163452252660
oct4057632464757201
9625842018778537
10144022414024321
1141987621073058
12141a0613078281
13624934206cc01
14277ca17382dd7
15119b5481090d1
hex82fcd4d3de81

144022414024321 has 32 divisors (see below), whose sum is σ = 182023193191680. Its totient is φ = 111129949126656.

The previous prime is 144022414024261. The next prime is 144022414024327. The reversal of 144022414024321 is 123420414220441.

It is a cyclic number.

It is not a de Polignac number, because 144022414024321 - 27 = 144022414024193 is a prime.

It is a super-2 number, since 2×1440224140243212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144022414024327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276944160 + ... + 277463713.

It is an arithmetic number, because the mean of its divisors is an integer number (5688224787240).

Almost surely, 2144022414024321 is an apocalyptic number.

It is an amenable number.

144022414024321 is a deficient number, since it is larger than the sum of its proper divisors (38000779167359).

144022414024321 is a wasteful number, since it uses less digits than its factorization.

144022414024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554407993.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 144022414024321 its reverse (123420414220441), we get a palindrome (267442828244762).

The spelling of 144022414024321 in words is "one hundred forty-four trillion, twenty-two billion, four hundred fourteen million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 7 17 37 59 119 259 413 629 1003 2183 4403 7021 15281 37111 259777 554407873 3880855111 9424933841 20513091301 32710064507 65974536887 143591639107 228970451549 348722552117 556071096619 1210272386759 2441057864819 3892497676333 8471906707313 20574630574903 144022414024321