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144240245457 = 37111759622549
BaseRepresentation
bin1000011001010101100…
…0110111101011010001
3111210022100110200000020
42012111120313223101
54330401000323312
6150132453014053
713264256566650
oct2062530675321
9453270420006
10144240245457
1156198949330
1223b55924329
13107a91bc189
146da483d197
153b4310078c
hex2195637ad1

144240245457 has 64 divisors (see below), whose sum is σ = 258183936000. Its totient is φ = 69326945280.

The previous prime is 144240245393. The next prime is 144240245537. The reversal of 144240245457 is 754542042441.

It is a happy number.

144240245457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144240245457 - 26 = 144240245393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144240245057) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 79582 + ... + 542967.

It is an arithmetic number, because the mean of its divisors is an integer number (4034124000).

Almost surely, 2144240245457 is an apocalyptic number.

144240245457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

144240245457 is a deficient number, since it is larger than the sum of its proper divisors (113943690543).

144240245457 is a wasteful number, since it uses less digits than its factorization.

144240245457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622646.

The product of its (nonzero) digits is 716800, while the sum is 42.

Adding to 144240245457 its reverse (754542042441), we get a palindrome (898782287898).

The spelling of 144240245457 in words is "one hundred forty-four billion, two hundred forty million, two hundred forty-five thousand, four hundred fifty-seven".

Divisors: 1 3 7 11 17 21 33 51 59 77 119 177 187 231 357 413 561 649 1003 1239 1309 1947 3009 3927 4543 7021 11033 13629 21063 33099 77231 231693 622549 1867647 4357843 6848039 10583333 13073529 20544117 31749999 36730391 47936273 74083331 110191173 116416663 143808819 222249993 257112737 349249989 404034301 624416647 771338211 814916641 1212102903 1873249941 2444749923 2828240107 4370916529 6868583117 8484720321 13112749587 20605749351 48080081819 144240245457