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142055040120345 = 33511472697566239
BaseRepresentation
bin100000010011001011000100…
…001101000111011000011001
3200121222022212222210012112000
4200103023010031013120121
5122104412210232322340
61222043103504511213
741631065215063242
oct4023130415073031
9617868788705460
10142055040120345
11412992278650a0
1213b2327561b509
13613596ac7c901
142711701a13cc9
15116529e58cd30
hex8132c4347619

142055040120345 has 128 divisors (see below), whose sum is σ = 282408394752000. Its totient is φ = 67159139086080.

The previous prime is 142055040120317. The next prime is 142055040120349. The reversal of 142055040120345 is 543021040550241.

142055040120345 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 5 + 0 + 401 + 203 + 45 = 666.

It is not a de Polignac number, because 142055040120345 - 26 = 142055040120281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142055040120349) 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 127 ways as a sum of consecutive naturals, for example, 14991736 + ... + 22557974.

It is an arithmetic number, because the mean of its divisors is an integer number (2206315584000).

Almost surely, 2142055040120345 is an apocalyptic number.

142055040120345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142055040120345 is a deficient number, since it is larger than the sum of its proper divisors (140353354631655).

142055040120345 is a wasteful number, since it uses less digits than its factorization.

142055040120345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566580 (or 7566574 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 142055040120345 its reverse (543021040550241), we get a palindrome (685076080670586).

The spelling of 142055040120345 in words is "one hundred forty-two trillion, fifty-five billion, forty million, one hundred twenty thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 47 55 99 135 141 165 235 269 297 423 495 517 705 807 1269 1345 1485 1551 2115 2421 2585 2959 4035 4653 6345 7263 7755 8877 12105 12643 13959 14795 23265 26631 36315 37929 44385 63215 69795 79893 113787 133155 139073 189645 341361 399465 417219 568935 695365 1251657 1706805 2086095 3754971 6258285 7566239 18774855 22698717 37831195 68096151 83228629 113493585 204288453 249685887 340480755 355613233 416143145 749057661 1021442265 1066839699 1248429435 1778066165 2035318291 2247172983 3200519097 3745288305 3911745563 5334198495 6105954873 9601557291 10176591455 11235864915 11735236689 16002595485 18317864619 19558727815 22388501201 30529774365 35205710067 48007786455 54953593857 58676183445 67165503603 91589323095 95659959677 105617130201 111942506005 176028550335 201496510809 274767969285 286979879031 335827518015 478299798385 528085651005 604489532427 860939637093 1007482554045 1052259556447 1434899395155 2582818911279 3022447662135 3156778669341 4304698185465 5261297782235 9470336008023 12914094556395 15783893346705 28411008024069 47351680040115 142055040120345