230320188800
230,320,188,800 is an even composite number composed of seven prime numbers multiplied together.
230320188800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 230320188800:
27 × 52 × 13 × 17 × 19 × 61 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 61 × 281)See below for interesting mathematical facts about the number 230320188800 from the Numbermatics database.
Names of 230320188800
- Cardinal: 230320188800 can be written as Two hundred thirty billion, three hundred twenty million, one hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.303201888 × 1011
Factors of 230320188800
Divisors of 230320188800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 50 52 61 64 65 68 76 80 85 95 100 104 122 128 130 136 152 160 170 190 200 208 221 244 247 260 272 281 304 305 320 323 325 340 380 400 416 425 442 475 488 494 520 544 562 608 610 640 646 650 680 760 793 800 832 850 884 950 976 988 1037 1040 1088 1105 1124 1159 1216 1220 1235 1292 1300 1360 1405 1520 1525 1586 1600 1615 1664 1700 1768 1900 1952 1976 2074 2080 2176 2210 2248 2318 2432 2440 2470 2584 2600 2720 2810 3040 3050 3172 3200 3230 3400 3536 3653 3800 3904 3952 3965 4148 4160 4199 4420 4496 4636 4777 4880 4940 5168 5185 5200 5339 5440 5525 5620 5795 6080 6100 6175 6344 6460 6800 7025 7072 7306 7600 7808 7904 7930 8075 8296 8320 8398 8840 8992 9272 9554 9760 9880 10336 10370 10400 10678 10880 11050 11240 11590 12160 12200 12350 12688 12920 13481 13600 14050 14144 14612 15067 15200 15808 15860 16150 16592 16796 17141 17680 17984 18265 18544 19108 19520 19703 19760 19825 20672 20740 20800 20995 21356 22100 22480 23180 23885 24400 24700 25376 25840 25925 26695 26962 27200 28100 28288 28975 29224 30134 30400 31616 31720 32300 33184 33592 34282 35360 35968 36530 37088 38216 39040 39406 39520 39650 41344 41480 41600 41990 42712 44200 44960 46360 47770 48800 49400 50752 51680 51850 53390 53924 54400 56200 57950 58448 60268 60800 62101 63440 64600 66368 67184 67405 68564 69407 70720 73060 74176 75335 76432 78812 79040 79300 82960 83980 85424 85705 88400 89920 90763 91325 92720 95540 97600 98515 98800 101504 103360 103700 104975 106780 107848 112400 115900 116896 119425 120536 124202 126880 129200 132736 133475 134368 134810 137128 138814 141440 146120 148352 150670 152864 157624 158080 158600 165920 167960 170848 171410 176800 179840 181526 182650 185440 191080 195200 197030 197600 206720 207400 209950 213560 215696 222833 224800 231800 233792 238850 241072 248404 253760 256139 258400 266950 268736 269620 274256 277628 291397 292240 301340 305728 310505 315248 317200 325679 331840 335920 337025 341696 342820 347035 353600 363052 365300 370880 376675 382160 394060 395200 414800 419900 427120 428525 431392 445666 449600 453815 463600 467584 477700 482144 492575 496808 507520 512278 516800 533900 537472 539240 548512 555256 582794 584480 602680 611456 621010 630496 634400 651358 663680 671840 674050 683392 685640 694070 707200 726104 730600 741760 753350 764320 788120 790400 829600 839800 854240 857050 862784 891332 899200 907630 927200 955400 964288 985150 993616 1024556 1033600 1067800 1078480 1097024 1110512 1114165 1165588 1168960 1179919 1205360 1242020 1260992 1268800 1280695 1302716 1343680 1348100 1371280 1388140 1452208 1456985 1461200 1506700 1528640 1552525 1576240 1628395 1659200 1679600 1708480 1714100 1725568 1735175 1782664 1815260 1854400 1910800 1928576 1970300 1987232 2049112 2135600 2156960 2194048 2221024 2228330 2269075 2331176 2337920 2359838 2410720 2484040 2521984 2537600 2561390 2605432 2687360 2696200 2742560 2776280 2904416 2913970 2922400 3013400 3057280 3105050 3152480 3256790 3318400 3359200 3416960 3428200 3470350 3565328 3630520 3708800 3788161 3821600 3940600 3974464 4098224 4233827 4271200 4313920 4442048 4456660 4538150 4662352 4719676 4821440 4968080 5122780 5210864 5392400 5485120 5536543 5552560 5570825 5808832 5827940 5844800 5899595 6026800 6210100 6304960 6403475 6513580 6718400 6856400 6940700 7130656 7261040 7284925 7576322 7643200 7881200 7948928 8141975 8196448 8467654 8542400 8627840 8884096 8913320 9076300 9324704 9439352 9642880 9936160 10245560 10421728 10784800 10970240 11073086 11105120 11141650 11617664 11655880 11689600 11799190 12053600 12420200 12609920 12806950 13027160 13436800 13712800 13881400 14261312 14522080 14569850 15152644 15286400 15762400 16283950 16392896 16935308 17084800 17826640 18152600 18649408 18878704 18940805 19872320 20491120 20843456 21169135 21569600 22146172 22210240 22283300 23311760 23598380 24107200 24840400 25613900 26054320 27425600 27682715 27762800 28522624 29044160 29139700 29497975 30305288 31524800 32567900 32785792 33870616 35653280 36305200 37298816 37757408 37881610 39744640 40982240 41686912 42338270 43139200 44292344 44420480 44566600 46623520 47196760 48214400 49680800 51227800 52108640 54851200 55365430 55525600 58088320 58279400 58995950 60610576 63049600 65135800 67741232 71306560 71975059 72610400 75514816 75763220 81964480 84676540 88584688 89133200 93247040 94393520 94704025 99361600 102455600 104217280 105845675 110730860 111051200 116558800 117991900 121221152 130271600 135482464 138413575 142613120 143950118 145220800 151029632 151526440 163928960 169353080 177169376 178266400 186494080 188787040 189408050 198723200 204911200 208434560 211691350 221461720 222102400 233117600 235983800 242442304 260543200 270964928 276827150 287900236 290441600 303052880 338706160 354338752 356532800 359875295 377574080 378816100 409822400 423382700 442923440 466235200 471967600 484884608 521086400 541929856 553654300 575800472 606105760 677412320 708677504 713065600 719750590 755148160 757632200 819644800 846765400 885846880 932470400 943935200 1042172800 1107308600 1151600944 1212211520 1354824640 1439501180 1515264400 1693530800 1771693760 1799376475 1887870400 2214617200 2303201888 2424423040 2709649280 2879002360 3030528800 3387061600 3543387520 3598752950 3775740800 4429234400 4606403776 5758004720 6061057600 6774123200 7197505900 8858468800 9212807552 11516009440 12122115200 13548246400 14395011800 17716937600 23032018880 28790023600 46064037760 57580047200 115160094400 230320188800
- Sum of all divisors σ(n): 696583540800
- Sum of proper divisors (its aliquot sum) s(n): 466263352000
- 230320188800 is an abundant number, because the sum of its proper divisors (466263352000) is greater than itself. Its abundance is 235943163200
Bases of 230320188800
- Binary: 110101101000000010011100101101100000002
- Hexadecimal: 0x35A0272D80
- Base-36: 2XT2OZ28
Squares and roots of 230320188800
- 230320188800 squared (2303201888002) is 53047389368867645440000
- 230320188800 cubed (2303201888003) is 12217884734784708939952259072000000
-
The
square root of 230320188800 is 479916.8561323929 -
The
cube root of 230320188800 is 6129.7675061537
Scales and comparisons
How big is 230320188800?- 230,320,188,800 seconds is equal to 7,323 years, 24 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 230,320,188,800 would take you about fourteen thousand, six hundred forty-six 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 230320188800 cubic inches would be around 510.8 feet tall.
Recreational maths with 230320188800
- 230320188800 backwards is 008881023032
- The number of decimal digits it has is: 12
- The sum of 230320188800's digits is 35
- More coming soon!
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