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142365201426657 = 321122811699273827
BaseRepresentation
bin100000010111101011111011…
…010000100110100011100001
3200200001222110200000002001100
4200113223323100212203201
5122130002413031123112
61222441400510025013
741662355256510426
oct4027537320464341
9620058420002040
10142365201426657
11413a8819830200
1213b733b5aa8169
136158c9a025bb1
1427227264a7d4d
15116d3a3d6e2dc
hex817afb4268e1

142365201426657 has 72 divisors (see below), whose sum is σ = 226971264592800. Its totient is φ = 85923970070400.

The previous prime is 142365201426653. The next prime is 142365201426667. The reversal of 142365201426657 is 756624102563241.

It is a happy number.

142365201426657 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 5 + 201 + 426 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 142365201426657 - 22 = 142365201426653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142365201426653) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 519772378 + ... + 520046204.

It is an arithmetic number, because the mean of its divisors is an integer number (3152378674900).

Almost surely, 2142365201426657 is an apocalyptic number.

It is an amenable number.

142365201426657 is a deficient number, since it is larger than the sum of its proper divisors (84606063166143).

142365201426657 is a wasteful number, since it uses less digits than its factorization.

142365201426657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275835 (or 275821 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

Adding to 142365201426657 its reverse (756624102563241), we get a palindrome (898989303989898).

The spelling of 142365201426657 in words is "one hundred forty-two trillion, three hundred sixty-five billion, two hundred one million, four hundred twenty-six thousand, six hundred fifty-seven".

Divisors: 1 3 9 11 33 99 121 281 363 843 1089 1699 2529 3091 5097 9273 15291 18689 27819 34001 56067 102003 168201 205579 273827 306009 477419 616737 821481 1432257 1850211 2464443 3012097 4296771 5251609 9036291 15754827 27108873 33133067 47264481 57767699 76945387 99399201 173303097 230836161 298197603 465232073 519909291 692508483 846399257 1395696219 2539197771 4187088657 5117552803 7617593313 9310391827 15352658409 27931175481 46057975227 56293080833 83793526443 130730212513 168879242499 392190637539 506637727497 1176571912617 1438032337643 4314097012929 12942291038787 15818355714073 47455067142219 142365201426657