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287418134040 = 233513917231303
BaseRepresentation
bin1000010111010110111…
…01001010111000011000
31000110212122221000100120
410023223131022320120
514202113020242130
6340012120033240
726523326554362
oct4135335127030
91013778830316
10287418134040
11100991053174
1247853902820
132114627a4cb
14dca813bd32
157722d03910
hex42eb74ae18

287418134040 has 64 divisors (see below), whose sum is σ = 868457721600. Its totient is φ = 76093429632.

The previous prime is 287418134027. The next prime is 287418134077. The reversal of 287418134040 is 40431814782.

It is a junction number, because it is equal to n+sod(n) for n = 287418133983 and 287418134001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8598972 + ... + 8632331.

It is an arithmetic number, because the mean of its divisors is an integer number (13569651900).

Almost surely, 2287418134040 is an apocalyptic number.

287418134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287418134040 is an abundant number, since it is smaller than the sum of its proper divisors (581039587560).

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

287418134040 is a wasteful number, since it uses less digits than its factorization.

287418134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17231456 (or 17231452 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 287418134040 in words is "two hundred eighty-seven billion, four hundred eighteen million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 17231303 34462606 51693909 68925212 86156515 103387818 137850424 172313030 206775636 258469545 344626060 413551272 516939090 689252120 1033878180 2067756360 2395151117 4790302234 7185453351 9580604468 11975755585 14370906702 19161208936 23951511170 28741813404 35927266755 47903022340 57483626808 71854533510 95806044680 143709067020 287418134040