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285218671140 = 2232513425928619
BaseRepresentation
bin1000010011010000101…
…10111000101000100100
31000021012101020201110200
410021220112320220210
514133111434434030
6335005545550500
726414661463164
oct4115026705044
91007171221420
10285218671140
11aaa62560137
124733b1a5430
1320b856a6480
14db39da05a4
157644b90d60
hex42685b8a24

285218671140 has 144 divisors (see below), whose sum is σ = 931965652800. Its totient is φ = 70188735744.

The previous prime is 285218671123. The next prime is 285218671169. The reversal of 285218671140 is 41176812582.

285218671140 is a `hidden beast` number, since 2 + 8 + 521 + 8 + 6 + 7 + 114 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9951751 + ... + 9980369.

It is an arithmetic number, because the mean of its divisors is an integer number (6471983700).

Almost surely, 2285218671140 is an apocalyptic number.

285218671140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285218671140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465982826400).

285218671140 is an abundant number, since it is smaller than the sum of its proper divisors (646746981660).

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

285218671140 is a wasteful number, since it uses less digits than its factorization.

285218671140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32906 (or 32901 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 285218671140 in words is "two hundred eighty-five billion, two hundred eighteen million, six hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4259 8518 12777 17036 21295 25554 28619 38331 42590 51108 55367 57238 63885 76662 85180 85857 110734 114476 127770 143095 153324 166101 171714 191655 221468 255540 257571 276835 286190 332202 343428 372047 383310 429285 498303 515142 553670 572380 664404 744094 766620 830505 858570 996606 1030284 1107340 1116141 1287855 1488188 1661010 1717140 1860235 1993212 2232282 2491515 2575710 3322020 3348423 3720470 4464564 4983030 5151420 5580705 6696846 7440940 9966060 11161410 13393692 16742115 22322820 33484230 66968460 121888321 243776642 365664963 487553284 609441605 731329926 1096994889 1218883210 1462659852 1584548173 1828324815 2193989778 2437766420 3169096346 3656649630 4387979556 4753644519 5484974445 6338192692 7313299260 7922740865 9507289038 10969948890 14260933557 15845481730 19014578076 21939897780 23768222595 28521867114 31690963460 47536445190 57043734228 71304667785 95072890380 142609335570 285218671140