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4114413132030 = 2325587702711083
BaseRepresentation
bin111011110111110110001…
…000100001100011111110
3112120100000112012000100200
4323313312020201203332
51014402304230211110
612430045120304330
7603153664404525
oct73676610414376
915510015160320
104114413132030
111346a04a50133
125654987720a6
1323acab6a5966
141031d26994bc
157205a7326c0
hex3bdf62218fe

4114413132030 has 96 divisors (see below), whose sum is σ = 10718190048384. Its totient is φ = 1095053024448.

The previous prime is 4114413132007. The next prime is 4114413132041. The reversal of 4114413132030 is 302313144114.

4114413132030 is a `hidden beast` number, since 4 + 1 + 1 + 441 + 3 + 13 + 203 + 0 = 666.

It is a super-3 number, since 3×41144131320303 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114413131985 and 4114413132003.

It is a congruent number.

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, 371230869 + ... + 371241951.

It is an arithmetic number, because the mean of its divisors is an integer number (111647813004).

Almost surely, 24114413132030 is an apocalyptic number.

4114413132030 is an abundant number, since it is smaller than the sum of its proper divisors (6603776916354).

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

4114413132030 is a wasteful number, since it uses less digits than its factorization.

4114413132030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710 (or 18707 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4114413132030 its reverse (302313144114), we get a palindrome (4416726276144).

The spelling of 4114413132030 in words is "four trillion, one hundred fourteen billion, four hundred thirteen million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 587 1174 1761 2935 3522 5283 5870 7027 8805 10566 11083 14054 17610 21081 22166 26415 33249 35135 42162 52830 55415 63243 66498 70270 99747 105405 110830 126486 166245 199494 210810 316215 332490 498735 632430 997470 4124849 6505721 8249698 12374547 13011442 19517163 20624245 24749094 32528605 37123641 39034326 41248490 58551489 61872735 65057210 74247282 77880241 97585815 117102978 123745470 155760482 185618205 195171630 233640723 292757445 371236410 389401205 467281446 585514890 700922169 778802410 1168203615 1401844338 2336407230 3504610845 7009221690 45715701467 91431402934 137147104401 228578507335 274294208802 411441313203 457157014670 685735522005 822882626406 1371471044010 2057206566015 4114413132030