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144425412513 = 32831034913823
BaseRepresentation
bin1000011010000001101…
…1001110011110100001
3111210210020220010110100
42012200123032132201
54331240401200023
6150203105453013
713301665515414
oct2064033163641
9453706803410
10144425412513
1156283420058
1223ba7941169
1310808681b95
146dc127db7b
153b544c9c43
hex21a06ce7a1

144425412513 has 48 divisors (see below), whose sum is σ = 213667743744. Its totient is φ = 93983591520.

The previous prime is 144425412497. The next prime is 144425412533. The reversal of 144425412513 is 315214524441.

144425412513 is a `hidden beast` number, since 1 + 44 + 42 + 54 + 12 + 513 = 666.

It is not a de Polignac number, because 144425412513 - 24 = 144425412497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144425412533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37776120 + ... + 37779942.

It is an arithmetic number, because the mean of its divisors is an integer number (4451411328).

Almost surely, 2144425412513 is an apocalyptic number.

It is an amenable number.

144425412513 is a deficient number, since it is larger than the sum of its proper divisors (69242331231).

144425412513 is a wasteful number, since it uses less digits than its factorization.

144425412513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4503 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 144425412513 its reverse (315214524441), we get a palindrome (459639936954).

The spelling of 144425412513 in words is "one hundred forty-four billion, four hundred twenty-five million, four hundred twelve thousand, five hundred thirteen".

Divisors: 1 3 9 83 103 249 309 491 747 927 1473 3823 4419 8549 11469 25647 34407 40753 50573 76941 122259 151719 317309 366777 393769 455157 951927 1181307 1877093 2855781 3543921 4197559 5631279 12592677 16893837 32682827 37778031 98048481 155798719 193340579 294145443 467396157 580021737 1402188471 1740065211 16047268057 48141804171 144425412513