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144342011034221 = 721121353101349841
BaseRepresentation
bin100000110100011100111110…
…010010110011101001101101
3200221001221221221000221002212
4200310130332102303221231
5122404344414311043341
61230553445432300205
742255236410105100
oct4064347622635155
9627057857027085
10144342011034221
1141aa0115270a00
1214232547541665
136270515c28b60
142790295068737
1511a4a00e7e5eb
hex83473e4b3a6d

144342011034221 has 144 divisors (see below), whose sum is σ = 204512760600624. Its totient is φ = 100854673920000.

The previous prime is 144342011034197. The next prime is 144342011034257. The reversal of 144342011034221 is 122430110243441.

It can be written as a sum of positive squares in 8 ways, for example, as 1793001340900 + 142549009693321 = 1339030^2 + 11939389^2 .

It is a de Polignac number, because none of the positive numbers 2k-144342011034221 is a prime.

It is a super-2 number, since 2×1443420110342212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144342011031221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 412418261 + ... + 412768101.

It is an arithmetic number, because the mean of its divisors is an integer number (1420227504171).

Almost surely, 2144342011034221 is an apocalyptic number.

144342011034221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144342011034221 is a deficient number, since it is larger than the sum of its proper divisors (60170749566403).

144342011034221 is a wasteful number, since it uses less digits than its factorization.

144342011034221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350044 (or 350026 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 144342011034221 its reverse (122430110243441), we get a palindrome (266772121277662).

The spelling of 144342011034221 in words is "one hundred forty-four trillion, three hundred forty-two billion, eleven million, thirty-four thousand, two hundred twenty-one".

Divisors: 1 7 11 13 49 53 77 91 101 121 143 371 539 583 637 689 707 847 1001 1111 1313 1573 2597 4081 4823 4949 5353 5929 6413 7007 7579 7777 9191 11011 12221 14443 28567 33761 37471 44891 53053 54439 58883 64337 69589 77077 83369 85547 101101 158873 262297 314237 349841 371371 412181 487123 583583 598829 647713 707707 765479 1112111 2448887 2885267 3409861 3848251 4085081 4533991 4547933 5358353 7784777 8420269 17142209 18541573 26937757 31737937 31835531 35333941 37508471 42330761 50027263 58941883 129791011 188564299 203957303 222848717 241040449 247337587 296315327 350190841 388673351 412593181 459341233 550299893 908537077 1427701121 1687283143 1731363109 1872698873 2074207289 2243530333 2451335887 2651444939 2720713457 3215388631 3852099251 4275406861 5052753563 9993907847 11810982001 13108892111 15704712331 18560114573 19044994199 20599687603 22507720417 24345085349 26964694757 29165894329 29927848027 35369274941 55580289193 91762244777 109932986317 129920802011 144197813221 170415597443 204161260303 209494936189 226596563633 247584924587 267795938839 389062024351 1009384692547 1192909182101 1429128822121 1586175945431 1874571571873 2723434170457 2945755327229 11103231618017 13122001003111 20620287290603 144342011034221