230636448000
230,636,448,000 is an even composite number composed of six prime numbers multiplied together.
230636448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 230636448000:
28 × 32 × 53 × 7 × 233 × 491
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 233 × 491)See below for interesting mathematical facts about the number 230636448000 from the Numbermatics database.
Names of 230636448000
- Cardinal: 230636448000 can be written as Two hundred thirty billion, six hundred thirty-six million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.30636448 × 1011
Factors of 230636448000
Divisors of 230636448000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 233 240 250 252 256 280 288 300 315 320 336 350 360 375 384 400 420 448 450 466 480 491 500 504 525 560 576 600 630 640 672 699 700 720 750 768 800 840 875 896 900 932 960 982 1000 1008 1050 1120 1125 1152 1165 1200 1260 1280 1344 1398 1400 1440 1473 1500 1575 1600 1631 1680 1750 1792 1800 1864 1920 1964 2000 2016 2097 2100 2240 2250 2304 2330 2400 2455 2520 2625 2688 2796 2800 2880 2946 3000 3150 3200 3262 3360 3437 3495 3500 3600 3728 3840 3928 4000 4032 4194 4200 4419 4480 4500 4660 4800 4893 4910 5040 5250 5376 5592 5600 5760 5825 5892 6000 6300 6400 6524 6720 6874 6990 7000 7200 7365 7456 7856 7875 8000 8064 8155 8388 8400 8838 8960 9000 9320 9600 9786 9820 10080 10311 10485 10500 11184 11200 11520 11650 11784 12000 12275 12600 13048 13440 13748 13980 14000 14400 14679 14730 14912 15712 15750 16000 16128 16310 16776 16800 17185 17475 17676 18000 18640 19200 19572 19640 20160 20622 20970 21000 22095 22368 22400 23300 23568 24000 24465 24550 25200 26096 26880 27496 27960 28000 28800 29125 29358 29460 29824 30933 31424 31500 32000 32620 33552 33600 34370 34950 35352 36000 36825 37280 39144 39280 40320 40775 41244 41940 42000 44190 44736 44800 46600 47136 48000 48930 49100 50400 51555 52192 52425 54992 55920 56000 57600 58250 58716 58920 59648 61375 61866 62848 63000 65240 67104 67200 68740 69900 70704 72000 73395 73650 74560 78288 78560 80640 81550 82488 83880 84000 85925 87375 88380 89472 93200 94272 96000 97860 98200 100800 103110 104384 104850 109984 110475 111840 112000 114403 116500 117432 117840 122325 122750 123732 125696 126000 130480 134208 134400 137480 139800 141408 144000 146790 147300 149120 154665 156576 157120 163100 164976 167760 168000 171850 174750 176760 178944 184125 186400 188544 195720 196400 201600 203875 206220 208768 209700 219968 220950 223680 224000 228806 233000 234864 235680 244650 245500 247464 252000 257775 260960 262125 268416 274960 279600 282816 288000 293580 294600 298240 309330 313152 314240 326200 329952 335520 336000 343209 343700 349500 353520 366975 368250 372800 377088 391440 392800 403200 407750 412440 417536 419400 429625 439936 441900 447360 457612 466000 469728 471360 489300 491000 494928 504000 515550 521920 524250 536832 549920 552375 559200 565632 572015 587160 589200 611625 618660 626304 628480 652400 659904 671040 672000 686418 687400 699000 707040 733950 736500 745600 773325 782880 785600 800821 815500 824880 838800 859250 879872 883800 894720 915224 932000 939456 942720 978600 982000 989856 1008000 1029627 1031100 1043840 1048500 1099840 1104750 1118400 1131264 1144030 1174320 1178400 1223250 1237320 1252608 1288875 1304800 1319808 1342080 1372836 1374800 1398000 1414080 1467900 1473000 1491200 1546650 1565760 1571200 1601642 1631000 1649760 1677600 1716045 1718500 1767600 1830448 1834875 1864000 1878912 1885440 1957200 1964000 1979712 2016000 2059254 2062200 2087680 2097000 2199680 2209500 2236800 2288060 2348640 2356800 2402463 2446500 2474640 2577750 2609600 2639616 2684160 2745672 2749600 2796000 2828160 2860075 2935800 2946000 3093300 3131520 3142400 3203284 3262000 3299520 3355200 3432090 3437000 3535200 3660896 3669750 3728000 3757824 3866625 3914400 3928000 3959424 4004105 4118508 4124400 4194000 4399360 4419000 4473600 4576120 4697280 4713600 4804926 4893000 4949280 5148135 5155500 5219200 5491344 5499200 5592000 5656320 5720150 5871600 5892000 6186600 6263040 6406568 6524000 6599040 6710400 6864180 6874000 7070400 7207389 7321792 7339500 7456000 7733250 7828800 7856000 7918848 8008210 8237016 8248800 8388000 8580225 8838000 9152240 9394560 9427200 9609852 9786000 9898560 10296270 10311000 10438400 10982688 10998400 11184000 11440300 11743200 11784000 12012315 12373200 12813136 13048000 13198080 13420800 13728360 13748000 14140800 14300375 14414778 14643584 14679000 15466500 15657600 15712000 16016420 16474032 16497600 16776000 17160450 17676000 18304480 18789120 19219704 19572000 19797120 20020525 20592540 20622000 21965376 21996800 22368000 22880600 23486400 23568000 24024630 24746400 25626272 25740675 26096000 27456720 27496000 28281600 28600750 28829556 29287168 29358000 30933000 31315200 32032840 32948064 32995200 33552000 34320900 35352000 36036945 36608960 38439408 39144000 39594240 40041050 41185080 41244000 42901125 43930752 45761200 46972800 47136000 48049260 49492800 51252544 51481350 52192000 54913440 54992000 57201500 57659112 58716000 60061575 61866000 64065680 65896128 65990400 67104000 68641800 70704000 72073890 73217920 76878816 78288000 80082100 82370160 82488000 85802250 87861504 91522400 93945600 96098520 98985600 100102625 102505088 102962700 109826880 109984000 114403000 115318224 117432000 120123150 123732000 128131360 128703375 131792256 137283600 141408000 144147780 146435840 153757632 156576000 160164200 164740320 164976000 171604500 180184725 183044800 192197040 197971200 200205250 205010176 205925400 219653760 228806000 230636448 234864000 240246300 247464000 256262720 257406750 263584512 274567200 288295560 300307875 307515264 320328400 329480640 329952000 343209000 360369450 366089600 384394080 400410500 411850800 439307520 457612000 461272896 469728000 480492600 494928000 512525440 514813500 549134400 576591120 600615750 615030528 640656800 658961280 686418000 720738900 732179200 768788160 800821000 823701600 900923625 915224000 922545792 960985200 989856000 1025050880 1029627000 1098268800 1153182240 1201231500 1281313600 1317922560 1372836000 1441477800 1537576320 1601642000 1647403200 1801847250 1830448000 1845091584 1921970400 2059254000 2196537600 2306364480 2402463000 2562627200 2745672000 2882955600 3075152640 3203284000 3294806400 3603694500 3660896000 3843940800 4118508000 4612728960 4804926000 5125254400 5491344000 5765911200 6406568000 6589612800 7207389000 7687881600 8237016000 9225457920 9609852000 10982688000 11531822400 12813136000 14414778000 15375763200 16474032000 19219704000 23063644800 25626272000 28829556000 32948064000 38439408000 46127289600 57659112000 76878816000 115318224000 230636448000
- Sum of all divisors σ(n): 954464539392
- Sum of proper divisors (its aliquot sum) s(n): 723828091392
- 230636448000 is an abundant number, because the sum of its proper divisors (723828091392) is greater than itself. Its abundance is 493191643392
Bases of 230636448000
- Binary: 110101101100110000000011101001000000002
- Hexadecimal: 0x35B300E900
- Base-36: 2XYAZI80
Squares and roots of 230636448000
- 230636448000 squared (2306364480002) is 53193171146056704000000
- 230636448000 cubed (2306364480003) is 12268284050982607417147392000000000
-
The
square root of 230636448000 is 480246.2368410607 -
The
cube root of 230636448000 is 6132.5718756427
Scales and comparisons
How big is 230636448000?- 230,636,448,000 seconds is equal to 7,333 years, 27 weeks, 2 days, 8 hours.
-
To count from 1 to 230,636,448,000 would take you about fourteen thousand, six hundred sixty-seven 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 230636448000 cubic inches would be around 511 feet tall.
Recreational maths with 230636448000
- 230636448000 backwards is 000844636032
- 230636448000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230636448000's digits is 36
- More coming soon!
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