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494665595084241 = 347253266612
BaseRepresentation
bin111000001111001010100111…
…1000100111101110111010001
32101212110120100211121200110000
41300132111033010331313101
51004314100114320143431
64512022123123200213
7206123260404340200
oct16036251704756721
92355416324550400
10494665595084241
11133685556579639
124759160ab16069
13183029c4944409
148a21d2a4cd237
153c2c5c23389e6
hex1c1e54f13ddd1

494665595084241 has 135 divisors (see below), whose sum is σ = 876245187607713. Its totient is φ = 277291097254080.

The previous prime is 494665595084239. The next prime is 494665595084251. The reversal of 494665595084241 is 142480595566494.

The square root of 494665595084241 is 22241079.

It is a perfect power (a square), and thus also a powerful number.

494665595084241 is a `hidden beast` number, since 4 + 9 + 4 + 6 + 6 + 5 + 595 + 0 + 8 + 4 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 238988565155025 + 255677029929216 = 15459255^2 + 15989904^2 .

It is not a de Polignac number, because 494665595084241 - 21 = 494665595084239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 494665595084241.

It is not an unprimeable number, because it can be changed into a prime (494665595084231) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 74262959451 + ... + 74262966111.

Almost surely, 2494665595084241 is an apocalyptic number.

494665595084241 is the 22241079-th square number.

494665595084241 is the 11120540-th centered octagonal number.

It is an amenable number.

494665595084241 is a deficient number, since it is larger than the sum of its proper divisors (381579592523472).

494665595084241 is an frugal number, since it uses more digits than its factorization.

494665595084241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 1492992000, while the sum is 72.

The spelling of 494665595084241 in words is "four hundred ninety-four trillion, six hundred sixty-five billion, five hundred ninety-five million, eighty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 27 49 53 63 81 147 159 189 371 441 477 567 1113 1323 1431 2597 2809 3339 3969 4293 6661 7791 8427 10017 19663 19983 23373 25281 30051 46627 58989 59949 70119 75843 137641 139881 176967 179847 210357 227529 326389 353033 412923 419643 530901 539541 979167 1059099 1238769 1258929 1592703 2471231 2937501 3177297 3716307 3776787 7413693 8812503 9531891 11148921 17298617 18710749 22241079 26437509 28595673 44368921 51895851 56132247 66723237 130975243 133106763 155687553 168396741 200169711 310582447 392925729 399320289 467062659 505190223 916826701 931747341 1178777187 1197960867 1401187977 1515570669 2174077129 2351552813 2750480103 2795242023 3536331561 3593882601 6522231387 7054658439 8251440309 8385726069 10608994683 16460869691 19566694161 21163975317 24754320927 25157178207 49382609073 58700082483 63491925951 74262962781 115226087837 124632299089 148147827219 176100247449 190475777853 345678263511 373896897267 444443481657 872426093623 1037034790533 1121690691801 1333330444971 2617278280869 3111104371599 3365072075403 6106982655361 7851834842607 9333313114797 10095216226209 18320947966083 23555504527821 54962843898249 70666513583463 164888531694747 494665595084241