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4113345060 = 22325114744201
BaseRepresentation
bin1111010100101100…
…1010101000100100
3101121122222120122100
43311023022220210
531411004020220
61520055132100
7203634566436
oct36513125044
911548876570
104113345060
111820970030
12969674030
135072584b6
142b041a656
151911b3d90
hexf52caa24

4113345060 has 144 divisors (see below), whose sum is σ = 13901352192. Its totient is φ = 975936000.

The previous prime is 4113345059. The next prime is 4113345077. The reversal of 4113345060 is 605433114.

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, 70960 + ... + 115160.

It is an arithmetic number, because the mean of its divisors is an integer number (96537168).

Almost surely, 24113345060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113345060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950676096).

4113345060 is an abundant number, since it is smaller than the sum of its proper divisors (9788007132).

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

4113345060 is a wasteful number, since it uses less digits than its factorization.

4113345060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44274 (or 44269 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4113345060 is about 64135.3651272058. The cubic root of 4113345060 is about 1602.2552908999.

Adding to 4113345060 its reverse (605433114), we get a palindrome (4718778174).

The spelling of 4113345060 in words is "four billion, one hundred thirteen million, three hundred forty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 15510 18612 23265 31020 44201 46530 88402 93060 132603 176804 221005 265206 397809 442010 486211 530412 663015 795618 884020 972422 1326030 1458633 1591236 1944844 1989045 2077447 2431055 2652060 2917266 3978090 4154894 4375899 4862110 5834532 6232341 7293165 7956180 8309788 8751798 9724220 10387235 12464682 14586330 17503596 18697023 20774470 21879495 22851917 24929364 29172660 31161705 37394046 41548940 43758990 45703834 62323410 68555751 74788092 87517980 91407668 93485115 114259585 124646820 137111502 186970230 205667253 228519170 274223004 342778755 373940460 411334506 457038340 685557510 822669012 1028336265 1371115020 2056672530 4113345060