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144234201033 = 32136616912699
BaseRepresentation
bin1000011001010100000…
…1110011111111001001
3111210021221002120121200
42012111001303333021
54330342423413113
6150132115254413
713264154323506
oct2062501637711
9453257076550
10144234201033
11561954a003a
1223b538aa409
13107a7b83bb0
146da3b084ad
153b42809873
hex2195073fc9

144234201033 has 48 divisors (see below), whose sum is σ = 225112305600. Its totient is φ = 88464182400.

The previous prime is 144234201017. The next prime is 144234201043. The reversal of 144234201033 is 330102432441.

144234201033 is a `hidden beast` number, since 1 + 4 + 423 + 4 + 201 + 0 + 33 = 666.

144234201033 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 144234201033 - 24 = 144234201017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144234200988 and 144234201006.

It is not an unprimeable number, because it can be changed into a prime (144234201043) 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 47 ways as a sum of consecutive naturals, for example, 53438518 + ... + 53441216.

It is an arithmetic number, because the mean of its divisors is an integer number (4689839700).

Almost surely, 2144234201033 is an apocalyptic number.

144234201033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144234201033 is a deficient number, since it is larger than the sum of its proper divisors (80878104567).

144234201033 is a wasteful number, since it uses less digits than its factorization.

144234201033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 144234201033 its reverse (330102432441), we get a palindrome (474336633474).

The spelling of 144234201033 in words is "one hundred forty-four billion, two hundred thirty-four million, two hundred one thousand, thirty-three".

Divisors: 1 3 9 13 39 117 661 691 1983 2073 2699 5949 6219 8097 8593 8983 24291 25779 26949 35087 77337 80847 105261 315783 456751 1370253 1784039 1865009 4110759 5352117 5595027 5937763 16056351 16785081 17813289 23192507 24245117 53439867 69577521 72735351 208732563 218206053 1232770949 3698312847 11094938541 16026022337 48078067011 144234201033