230688120
230,688,120 is an even composite number composed of seven prime numbers multiplied together.
230688120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 230688120:
23 × 3 × 5 × 13 × 19 × 43 × 181
(2 × 2 × 2 × 3 × 5 × 13 × 19 × 43 × 181)See below for interesting mathematical facts about the number 230688120 from the Numbermatics database.
Names of 230688120
- Cardinal: 230688120 can be written as Two hundred thirty million, six hundred eighty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.3068812 × 108
Factors of 230688120
Divisors of 230688120
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 43 52 57 60 65 76 78 86 95 104 114 120 129 130 152 156 172 181 190 195 215 228 247 258 260 285 312 344 362 380 390 430 456 494 516 520 543 559 570 645 724 741 760 780 817 860 905 988 1032 1086 1118 1140 1235 1290 1448 1482 1560 1634 1677 1720 1810 1976 2172 2236 2280 2353 2451 2470 2580 2715 2795 2964 3268 3354 3439 3620 3705 4085 4344 4472 4706 4902 4940 5160 5430 5590 5928 6536 6708 6878 7059 7240 7410 7783 8170 8385 9412 9804 9880 10317 10621 10860 11180 11765 12255 13416 13756 14118 14820 15566 16340 16770 17195 18824 19608 20634 21242 21720 22360 23349 23530 24510 27512 28236 29640 31132 31863 32680 33540 34390 35295 38915 41268 42484 44707 46698 47060 49020 51585 53105 56472 62264 63726 67080 68780 70590 77830 82536 84968 89414 93396 94120 98040 101179 103170 106210 116745 127452 134121 137560 141180 147877 155660 159315 178828 186792 202358 206340 212420 223535 233490 254904 268242 282360 295754 303537 311320 318630 357656 404716 412680 424840 443631 447070 466980 505895 536484 591508 607074 637260 670605 739385 809432 887262 894140 933960 1011790 1072968 1183016 1214148 1274520 1341210 1478770 1517685 1774524 1788280 1922401 2023580 2218155 2428296 2682420 2957540 3035370 3549048 3844802 4047160 4436310 5364840 5767203 5915080 6070740 7689604 8872620 9612005 11534406 12141480 15379208 17745240 19224010 23068812 28836015 38448020 46137624 57672030 76896040 115344060 230688120
- Sum of all divisors σ(n): 807206400
- Sum of proper divisors (its aliquot sum) s(n): 576518280
- 230688120 is an abundant number, because the sum of its proper divisors (576518280) is greater than itself. Its abundance is 345830160
Bases of 230688120
- Binary: 11011100000000000101011110002
- Hexadecimal: 0xDC00578
- Base-36: 3TCG3C
Squares and roots of 230688120
- 230688120 squared (2306881202) is 53217008709134400
- 230688120 cubed (2306881203) is 12276531691133841563328000
-
The
square root of 230688120 is 15188.4205893831 -
The
cube root of 230688120 is 613.3029823777
Scales and comparisons
How big is 230688120?- 230,688,120 seconds is equal to 7 years, 17 weeks, 3 days, 2 minutes.
-
To count from 1 to 230,688,120 would take you about eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 230688120 cubic inches would be around 51.1 feet tall.
Recreational maths with 230688120
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