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144322111131424 = 25167245910982669
BaseRepresentation
bin100000110100001010011100…
…001010101100111100100000
3200221000001121001212010101221
4200310022130022230330200
5122404033140422201144
61230540355040304424
742253633311526552
oct4064123412547440
9627001531763357
10144322111131424
1141a9273329a446
121422a713012114
13626b6941ca045
14278d32819b4d2
1511a4238dd6d84
hex83429c2acf20

144322111131424 has 48 divisors (see below), whose sum is σ = 285951825028800. Its totient is φ = 71699776939264.

The previous prime is 144322111131389. The next prime is 144322111131431. The reversal of 144322111131424 is 424131111223441.

It is a happy number.

It is a super-2 number, since 2×1443221111314242 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144322111131424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7649562 + ... + 18632230.

It is an arithmetic number, because the mean of its divisors is an integer number (5957329688100).

Almost surely, 2144322111131424 is an apocalyptic number.

It is an amenable number.

144322111131424 is a deficient number, since it is larger than the sum of its proper divisors (141629713897376).

144322111131424 is a wasteful number, since it uses less digits than its factorization.

144322111131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985305 (or 10985297 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

Adding to 144322111131424 its reverse (424131111223441), we get a palindrome (568453222354865).

The spelling of 144322111131424 in words is "one hundred forty-four trillion, three hundred twenty-two billion, one hundred eleven million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 167 334 668 1336 2459 2672 4918 5344 9836 19672 39344 78688 410653 821306 1642612 3285224 6570448 10982669 13140896 21965338 43930676 87861352 175722704 351445408 1834105723 3668211446 7336422892 14672845784 27006383071 29345691568 54012766142 58691383136 108025532284 216051064568 432102129136 864204258272 4510065972857 9020131945714 18040263891428 36080527782856 72161055565712 144322111131424