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42302113134120 = 23325716786552831
BaseRepresentation
bin10011001111001001110100…
…11011010011011000101000
312112210001010222221020002100
421213210322123103120220
521021034211430242440
6225545153354133400
711624140540603140
oct1147447233233050
9175701128836070
1042302113134120
111252a253061094
1248b2524121260
131a7b0c2696848
14a6360c9b5920
154d5595b67230
hex26793a6d3628

42302113134120 has 96 divisors (see below), whose sum is σ = 157122134507520. Its totient is φ = 9669054430080.

The previous prime is 42302113134097. The next prime is 42302113134157. The reversal of 42302113134120 is 2143131120324.

42302113134120 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 211 + 31 + 3 + 412 + 0 = 666.

42302113134120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423021131341202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8393273896 + ... + 8393278935.

It is an arithmetic number, because the mean of its divisors is an integer number (1636688901120).

Almost surely, 242302113134120 is an apocalyptic number.

42302113134120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42302113134120 is an abundant number, since it is smaller than the sum of its proper divisors (114820021373400).

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

42302113134120 is a wasteful number, since it uses less digits than its factorization.

42302113134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16786552855 (or 16786552848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42302113134120 its reverse (2143131120324), we get a palindrome (44445244254444).

The spelling of 42302113134120 in words is "forty-two trillion, three hundred two billion, one hundred thirteen million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 16786552831 33573105662 50359658493 67146211324 83932764155 100719316986 117505869817 134292422648 151078975479 167865528310 201438633972 235011739634 251798292465 302157950958 335731056620 352517609451 402877267944 470023479268 503596584930 587529349085 604315901916 671462113240 705035218902 755394877395 940046958536 1007193169860 1057552828353 1175058698170 1208631803832 1410070437804 1510789754790 1762588047255 2014386339720 2115105656706 2350117396340 2820140875608 3021579509580 3525176094510 4230211313412 4700234792680 5287764141765 6043159019160 7050352189020 8460422626824 10575528283530 14100704378040 21151056567060 42302113134120