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4109006230 = 257329101409
BaseRepresentation
bin1111010011101010…
…0111010110010110
3101121100211010212221
43310322213112112
531403401144410
61515422132554
7203552656000
oct36472472626
911540733787
104109006230
11181947721a
1296812115a
13506399644
142ada0b370
15190b084da
hexf4ea7596

4109006230 has 128 divisors (see below), whose sum is σ = 9033120000. Its totient is φ = 1343462400.

The previous prime is 4109006221. The next prime is 4109006243. The reversal of 4109006230 is 326009014.

It is a junction number, because it is equal to n+sod(n) for n = 4109006195 and 4109006204.

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 63 ways as a sum of consecutive naturals, for example, 10046266 + ... + 10046674.

It is an arithmetic number, because the mean of its divisors is an integer number (70571250).

Almost surely, 24109006230 is an apocalyptic number.

4109006230 is an abundant number, since it is smaller than the sum of its proper divisors (4924113770).

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

4109006230 is a wasteful number, since it uses less digits than its factorization.

4109006230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 4109006230 is about 64101.5306369513. The cubic root of 4109006230 is about 1601.6917301814.

The spelling of 4109006230 in words is "four billion, one hundred nine million, six thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 101 145 202 203 245 290 343 406 409 490 505 686 707 818 1010 1015 1414 1421 1715 2030 2045 2842 2863 2929 3430 3535 4090 4949 5726 5858 7070 7105 9898 9947 11861 14210 14315 14645 19894 20041 20503 23722 24745 28630 29290 34643 40082 41006 41309 49490 49735 59305 69286 82618 83027 99470 100205 102515 118610 140287 143521 166054 173215 200410 205030 206545 280574 287042 289163 346430 413090 415135 578326 581189 701435 717605 830270 1004647 1162378 1197961 1402870 1435210 1445815 2009294 2024141 2395922 2891630 2905945 4048282 4068323 5023235 5811890 5989805 8136646 8385727 10046470 10120705 11979610 14168987 16771454 20241410 20341615 28337974 40683230 41928635 58700089 70844935 83857270 117400178 141689870 293500445 410900623 587000890 821801246 2054503115 4109006230