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142300434144 = 25311157858307
BaseRepresentation
bin1000010010000111000…
…1000100111011100000
3111121022011101001010210
42010201301010323200
54312412402343034
6145212200054120
713165223506251
oct2044161047340
9447264331123
10142300434144
1155392981390
12236b4164340
131055a35992b
146c5cd70b28
153a7cb7b8e9
hex2121c44ee0

142300434144 has 96 divisors (see below), whose sum is σ = 410092695936. Its totient is φ = 42846635520.

The previous prime is 142300434137. The next prime is 142300434149. The reversal of 142300434144 is 441434003241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142300434149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263362 + ... + 594945.

It is an arithmetic number, because the mean of its divisors is an integer number (4271798916).

Almost surely, 2142300434144 is an apocalyptic number.

It is an amenable number.

142300434144 is an abundant number, since it is smaller than the sum of its proper divisors (267792261792).

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

142300434144 is a wasteful number, since it uses less digits than its factorization.

142300434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858488 (or 858480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 142300434144 its reverse (441434003241), we get a palindrome (583734437385).

The spelling of 142300434144 in words is "one hundred forty-two billion, three hundred million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 157 176 264 314 352 471 528 628 942 1056 1256 1727 1884 2512 3454 3768 5024 5181 6908 7536 10362 13816 15072 20724 27632 41448 55264 82896 165792 858307 1716614 2574921 3433228 5149842 6866456 9441377 10299684 13732912 18882754 20599368 27465824 28324131 37765508 41198736 56648262 75531016 82397472 113296524 134754199 151062032 226593048 269508398 302124064 404262597 453186096 539016796 808525194 906372192 1078033592 1482296189 1617050388 2156067184 2964592378 3234100776 4312134368 4446888567 5929184756 6468201552 8893777134 11858369512 12936403104 17787554268 23716739024 35575108536 47433478048 71150217072 142300434144