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42020440164 = 22323773432149
BaseRepresentation
bin100111001000100111…
…010000100001100100
311000110110212112100200
4213020213100201210
51142024213041124
631145351510500
73015206563623
oct471047204144
9130413775320
1042020440164
11169034966aa
128188688430
133c688354a1
142068a676ba
15115e085bc9
hex9c89d0864

42020440164 has 72 divisors (see below), whose sum is σ = 110583727800. Its totient is φ = 13441531392.

The previous prime is 42020440159. The next prime is 42020440181. The reversal of 42020440164 is 46104402024.

It is a happy number.

42020440164 is a `hidden beast` number, since 4 + 202 + 0 + 440 + 16 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7200880164 + 34819560000 = 84858^2 + 186600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118839 + ... + 313310.

Almost surely, 242020440164 is an apocalyptic number.

It is an amenable number.

42020440164 is an abundant number, since it is smaller than the sum of its proper divisors (68563287636).

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

42020440164 is a wasteful number, since it uses less digits than its factorization.

42020440164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432269 (or 432264 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42020440164 its reverse (46104402024), we get a palindrome (88124842188).

The spelling of 42020440164 in words is "forty-two billion, twenty million, four hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 219 222 292 333 438 444 657 666 876 1314 1332 2628 2701 5402 8103 10804 16206 24309 32412 48618 97236 432149 864298 1296447 1728596 2592894 3889341 5185788 7778682 15557364 15989513 31546877 31979026 47968539 63093754 63958052 94640631 95937078 126187508 143905617 189281262 191874156 283921893 287811234 378562524 567843786 575622468 1135687572 1167234449 2334468898 3501703347 4668937796 7003406694 10505110041 14006813388 21010220082 42020440164