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142300133144 = 231324119972843
BaseRepresentation
bin1000010010000110111…
…1111011011100011000
3111121022010210202020122
42010201233323130120
54312412313230034
6145212145412412
713165221113561
oct2044157733430
9447263722218
10142300133144
1155392796224
12236b403a108
131055a282920
146c5ccd3168
153a7cb1c62e
hex2121bfb718

142300133144 has 64 divisors (see below), whose sum is σ = 288775095840. Its totient is φ = 65348720640.

The previous prime is 142300133113. The next prime is 142300133149. The reversal of 142300133144 is 441331003241.

It is a happy number.

142300133144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142300133149) 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 15 ways as a sum of consecutive naturals, for example, 50051387 + ... + 50054229.

Almost surely, 2142300133144 is an apocalyptic number.

It is an amenable number.

142300133144 is an abundant number, since it is smaller than the sum of its proper divisors (146474962696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142300133144 is a wasteful number, since it uses less digits than its factorization.

142300133144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 142300133144 its reverse (441331003241), we get a palindrome (583631136385).

The spelling of 142300133144 in words is "one hundred forty-two billion, three hundred million, one hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 241 482 964 1928 1997 2843 3133 3994 5686 6266 7988 11372 12532 15976 22744 25064 25961 36959 51922 73918 103844 147836 207688 295672 481277 685163 962554 1370326 1925108 2740652 3850216 5481304 5677471 6256601 8907119 11354942 12513202 17814238 22709884 25026404 35628476 45419768 50052808 71256952 73807123 147614246 295228492 590456984 1368270511 2736541022 5473082044 10946164088 17787516643 35575033286 71150066572 142300133144