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144114545025 = 325211612833373
BaseRepresentation
bin1000011000110111100…
…1010111000110000001
3111202222120221102102200
42012031321113012001
54330121310420100
6150112202503413
713261202264253
oct2061571270601
9452876842380
10144114545025
11561339a3780
1223b1b804b69
131078914a719
146d91c7bcd3
153b37070e00
hex218de57181

144114545025 has 144 divisors (see below), whose sum is σ = 287303819712. Its totient is φ = 68465088000.

The previous prime is 144114544997. The next prime is 144114545063. The reversal of 144114545025 is 520545411441.

144114545025 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 145 + 4 + 502 + 5 = 666.

It is not a de Polignac number, because 144114545025 - 25 = 144114544993 is a prime.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 42724239 + ... + 42727611.

Almost surely, 2144114545025 is an apocalyptic number.

144114545025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144114545025 is a deficient number, since it is larger than the sum of its proper divisors (143189274687).

144114545025 is a wasteful number, since it uses less digits than its factorization.

144114545025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 144114545025 its reverse (520545411441), we get a palindrome (664659956466).

The spelling of 144114545025 in words is "one hundred forty-four billion, one hundred fourteen million, five hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 61 75 99 165 183 225 275 283 305 495 549 671 825 849 915 1415 1525 2013 2475 2547 2745 3113 3355 3373 4245 4575 6039 7075 9339 10065 10119 12735 13725 15565 16775 16865 17263 21225 28017 30195 30357 37103 46695 50325 50595 51789 63675 77825 84325 86315 111309 140085 150975 151785 155367 185515 189893 205753 233475 252975 258945 333927 431575 556545 569679 617259 700425 758925 776835 927575 949465 954559 1028765 1294725 1669635 1709037 1851777 2263283 2782725 2848395 2863677 3086295 3884175 4747325 4772795 5143825 6789849 8348175 8545185 8591031 9258885 10500149 11316415 14241975 14318385 15431475 20369547 23863975 31500447 33949245 42725925 42955155 46294425 52500745 56582075 58228099 71591925 94501341 101847735 157502235 169746225 174684297 214775775 262503725 291140495 472506705 509238675 524052891 640509089 787511175 873421485 1455702475 1921527267 2362533525 2620264455 3202545445 4367107425 5764581801 9607636335 13101322275 16012727225 28822909005 48038181675 144114545025