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142360441125 = 3537264312049
BaseRepresentation
bin1000010010010101010…
…1111111000100100101
3111121110100021201020120
42010211111333010211
54313023233104000
6145222142152153
713166552532600
oct2044525770445
9447410251216
10142360441125
1155413837531
1223710282659
1310569909b16
146c66d11337
153a830816a0
hex212557f125

142360441125 has 96 divisors (see below), whose sum is σ = 276014793600. Its totient is φ = 64972454400.

The previous prime is 142360441123. The next prime is 142360441129. The reversal of 142360441125 is 521144063241.

It is a happy number.

It is not a de Polignac number, because 142360441125 - 21 = 142360441123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142360441123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11809101 + ... + 11821149.

It is an arithmetic number, because the mean of its divisors is an integer number (2875154100).

Almost surely, 2142360441125 is an apocalyptic number.

142360441125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142360441125 is a deficient number, since it is larger than the sum of its proper divisors (133654352475).

142360441125 is a wasteful number, since it uses less digits than its factorization.

142360441125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12724 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 142360441125 in words is "one hundred forty-two billion, three hundred sixty million, four hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 125 147 175 245 375 525 643 735 875 1225 1929 2625 3215 3675 4501 6125 9645 12049 13503 16075 18375 22505 31507 36147 48225 60245 67515 80375 84343 94521 112525 157535 180735 241125 253029 301225 337575 421715 472605 562625 590401 787675 903675 1265145 1506125 1687875 1771203 2108575 2363025 2952005 3938375 4518375 6325725 7747507 8856015 10542875 11815125 14760025 23242521 31628625 38737535 44280075 54232549 73800125 116212605 162697647 193687675 221400375 271162745 379627843 581063025 813488235 968438375 1138883529 1355813725 1898139215 2905315125 4067441175 5694417645 6779068625 9490696075 20337205875 28472088225 47453480375 142360441125