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144648904477 = 71119312497793
BaseRepresentation
bin1000011010110110111…
…1110001111100011101
3111211100211102200210111
42012231233301330131
54332220104420402
6150241212010021
713310351254450
oct2065557617435
9454324380714
10144648904477
1156388598960
122404a760911
1310842a72b4c
147002c19497
153b68e249d7
hex21adbf1f1d

144648904477 has 32 divisors (see below), whose sum is σ = 181444320000. Its totient is φ = 112025272320.

The previous prime is 144648904459. The next prime is 144648904481. The reversal of 144648904477 is 774409846441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144648904477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144648904417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18557493 + ... + 18565285.

It is an arithmetic number, because the mean of its divisors is an integer number (5670135000).

Almost surely, 2144648904477 is an apocalyptic number.

It is an amenable number.

144648904477 is a deficient number, since it is larger than the sum of its proper divisors (36795415523).

144648904477 is a wasteful number, since it uses less digits than its factorization.

144648904477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253.

The product of its (nonzero) digits is 21676032, while the sum is 58.

The spelling of 144648904477 in words is "one hundred forty-four billion, six hundred forty-eight million, nine hundred four thousand, four hundred seventy-seven".

Divisors: 1 7 11 77 193 1249 1351 2123 7793 8743 13739 14861 54551 85723 96173 241057 600061 1504049 1687399 2651627 9733457 10528343 16544539 18561389 68134199 107068027 115811773 749476189 1878557201 13149900407 20664129211 144648904477