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142134000234210 = 23256131382714433
BaseRepresentation
bin100000010100010100100110…
…100110000010111011100010
3200122020212200212011120220200
4200110110212212002323202
5122112210413024443320
61222143242554050030
741636562012011655
oct4024244646027342
9618225625146820
10142134000234210
1141319766785346
1213b36631119916
13614024282078a
14271547261b89c
1511673715ec290
hex814526982ee2

142134000234210 has 96 divisors (see below), whose sum is σ = 376806596660208. Its totient is φ = 37161940008960.

The previous prime is 142134000234209. The next prime is 142134000234371. The reversal of 142134000234210 is 12432000431241.

142134000234210 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 3 + 400 + 0 + 234 + 21 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19133634388401 + 123000365845809 = 4374201^2 + 11090553^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 39638847 + ... + 43075586.

Almost surely, 2142134000234210 is an apocalyptic number.

142134000234210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142134000234210 is an abundant number, since it is smaller than the sum of its proper divisors (234672596425998).

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

142134000234210 is a wasteful number, since it uses less digits than its factorization.

142134000234210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82714820 (or 82714817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 142134000234210 its reverse (12432000431241), we get a palindrome (154566000665451).

The spelling of 142134000234210 in words is "one hundred forty-two trillion, one hundred thirty-four billion, two hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 313 366 549 610 626 915 939 1098 1565 1830 1878 2745 2817 3130 4695 5490 5634 9390 14085 19093 28170 38186 57279 95465 114558 171837 190930 286395 343674 572790 859185 1718370 82714433 165428866 248143299 413572165 496286598 744429897 827144330 1240716495 1488859794 2481432990 3722149485 5045580413 7444298970 10091160826 15136741239 25227902065 25889617529 30273482478 45410223717 50455804130 51779235058 75683706195 77668852587 90820447434 129448087645 151367412390 155337705174 227051118585 233006557761 258896175290 388344262935 454102237170 466013115522 776688525870 1165032788805 1579266669269 2330065577610 3158533338538 4737800007807 7896333346345 9475600015614 14213400023421 15792666692690 23689000039035 28426800046842 47378000078070 71067000117105 142134000234210