130807824384000
130,807,824,384,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 130807824384000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1280 divisors.
130807824384000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 130807824384000:
219 × 3 × 53 × 193 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 97)See below for interesting mathematical facts about the number 130807824384000 from the Numbermatics database.
Names of 130807824384000
- Cardinal: 130807824384000 can be written as One hundred thirty trillion, eight hundred seven billion, eight hundred twenty-four million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.30807824384 × 1014
Factors of 130807824384000
Divisors of 130807824384000
- Number of divisors d(n): 1280
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 97 100 114 120 125 128 150 152 160 190 192 194 200 228 240 250 256 285 291 300 304 320 361 375 380 384 388 400 456 475 480 485 500 512 570 582 600 608 640 722 750 760 768 776 800 912 950 960 970 1000 1024 1083 1140 1164 1200 1216 1280 1425 1444 1455 1500 1520 1536 1552 1600 1805 1824 1843 1900 1920 1940 2000 2048 2166 2280 2328 2375 2400 2425 2432 2560 2850 2888 2910 3000 3040 3072 3104 3200 3610 3648 3686 3800 3840 3880 4000 4096 4332 4560 4656 4750 4800 4850 4864 5120 5415 5529 5700 5776 5820 6000 6080 6144 6208 6400 6859 7125 7220 7275 7296 7372 7600 7680 7760 8000 8192 8664 9025 9120 9215 9312 9500 9600 9700 9728 10240 10830 11058 11400 11552 11640 12000 12125 12160 12288 12416 12800 13718 14250 14440 14550 14592 14744 15200 15360 15520 16000 16384 17328 18050 18240 18430 18624 19000 19200 19400 19456 20480 20577 21660 22116 22800 23104 23280 24000 24250 24320 24576 24832 25600 27075 27436 27645 28500 28880 29100 29184 29488 30400 30720 31040 32000 32768 34295 34656 35017 36100 36375 36480 36860 37248 38000 38400 38800 38912 40960 41154 43320 44232 45125 45600 46075 46208 46560 48000 48500 48640 49152 49664 51200 54150 54872 55290 57000 57760 58200 58368 58976 60800 61440 62080 64000 65536 68590 69312 70034 72200 72750 72960 73720 74496 76000 76800 77600 77824 81920 82308 86640 88464 90250 91200 92150 92416 93120 96000 97000 97280 98304 99328 102400 102885 105051 108300 109744 110580 114000 115520 116400 116736 117952 121600 122880 124160 128000 131072 135375 137180 138225 138624 140068 144400 145500 145920 147440 148992 152000 153600 155200 155648 163840 164616 171475 173280 175085 176928 180500 182400 184300 184832 186240 192000 194000 194560 196608 198656 204800 205770 210102 216600 219488 221160 228000 230375 231040 232800 233472 235904 243200 245760 248320 256000 262144 270750 274360 276450 277248 280136 288800 291000 291840 294880 297984 304000 307200 310400 311296 327680 329232 342950 346560 350170 353856 361000 364800 368600 369664 372480 384000 388000 389120 393216 397312 409600 411540 420204 433200 438976 442320 456000 460750 462080 465600 466944 471808 486400 491520 496640 512000 514425 524288 525255 541500 548720 552900 554496 560272 577600 582000 583680 589760 595968 608000 614400 620800 622592 655360 658464 665323 685900 691125 693120 700340 707712 722000 729600 737200 739328 744960 768000 776000 778240 786432 794624 819200 823080 840408 857375 866400 875425 877952 884640 912000 921500 924160 931200 933888 943616 972800 983040 993280 1024000 1028850 1050510 1083000 1097440 1105800 1108992 1120544 1155200 1164000 1167360 1179520 1191936 1216000 1228800 1241600 1245184 1310720 1316928 1330646 1371800 1382250 1386240 1400680 1415424 1444000 1459200 1474400 1478656 1489920 1536000 1552000 1556480 1572864 1589248 1638400 1646160 1680816 1714750 1732800 1750850 1755904 1769280 1824000 1843000 1848320 1862400 1867776 1887232 1945600 1966080 1986560 1995969 2048000 2057700 2101020 2166000 2194880 2211600 2217984 2241088 2310400 2328000 2334720 2359040 2383872 2432000 2457600 2483200 2490368 2572125 2621440 2626275 2633856 2661292 2743600 2764500 2772480 2801360 2830848 2888000 2918400 2948800 2957312 2979840 3072000 3104000 3112960 3178496 3276800 3292320 3326615 3361632 3429500 3465600 3501700 3511808 3538560 3648000 3686000 3696640 3724800 3735552 3774464 3891200 3932160 3973120 3991938 4096000 4115400 4202040 4332000 4377125 4389760 4423200 4435968 4482176 4620800 4656000 4669440 4718080 4767744 4864000 4915200 4966400 4980736 5144250 5252550 5267712 5322584 5487200 5529000 5544960 5602720 5661696 5776000 5836800 5897600 5914624 5959680 6144000 6208000 6225920 6356992 6553600 6584640 6653230 6723264 6859000 6931200 7003400 7023616 7077120 7296000 7372000 7393280 7449600 7471104 7548928 7782400 7864320 7946240 7983876 8192000 8230800 8404080 8664000 8754250 8779520 8846400 8871936 8964352 9241600 9312000 9338880 9436160 9535488 9728000 9830400 9932800 9961472 9979845 10288500 10505100 10535424 10645168 10974400 11058000 11089920 11205440 11323392 11552000 11673600 11795200 11829248 11919360 12288000 12416000 12451840 12713984 13107200 13131375 13169280 13306460 13446528 13718000 13862400 14006800 14047232 14154240 14592000 14744000 14786560 14899200 14942208 15097856 15564800 15892480 15967752 16384000 16461600 16633075 16808160 17328000 17508500 17559040 17692800 17743872 17928704 18483200 18624000 18677760 18872320 19070976 19456000 19660800 19865600 19959690 20577000 21010200 21070848 21290336 21948800 22116000 22179840 22410880 22646784 23104000 23347200 23590400 23658496 23838720 24576000 24832000 24903680 25427968 26262750 26338560 26612920 26893056 27436000 27724800 28013600 28094464 28308480 29184000 29488000 29573120 29798400 29884416 30195712 31129600 31784960 31935504 32768000 32923200 33266150 33616320 34656000 35017000 35118080 35385600 35487744 35857408 36966400 37248000 37355520 37744640 38141952 38912000 39321600 39731200 39919380 41154000 42020400 42141696 42580672 43897600 44232000 44359680 44821760 45293568 46208000 46694400 47180800 47316992 47677440 49152000 49664000 49807360 49899225 50855936 52525500 52677120 53225840 53786112 54872000 55449600 56027200 56188928 56616960 58368000 58976000 59146240 59596800 60391424 62259200 63569920 63871008 65536000 65846400 66532300 67232640 69312000 70034000 70236160 70771200 70975488 71714816 73932800 74496000 74711040 75489280 76283904 77824000 79462400 79838760 82308000 83165375 84040800 84283392 85161344 87795200 88464000 88719360 89643520 90587136 92416000 93388800 94361600 94633984 95354880 98304000 99328000 99798450 105051000 105354240 106451680 107572224 109744000 110899200 112054400 112377856 113233920 116736000 117952000 118292480 119193600 120782848 124518400 127139840 127742016 131692800 133064600 134465280 138624000 140068000 140472320 141542400 141950976 143429632 147865600 148992000 149422080 150978560 152567808 155648000 158924800 159677520 164616000 166330750 168081600 168566784 170322688 175590400 176928000 177438720 179287040 181174272 184832000 186777600 188723200 189267968 190709760 196608000 198656000 199596900 210102000 210708480 212903360 215144448 219488000 221798400 224108800 224755712 226467840 233472000 235904000 236584960 238387200 241565696 249036800 249496125 254279680 255484032 263385600 266129200 268930560 277248000 280136000 280944640 283084800 283901952 286859264 295731200 297984000 301957120 311296000 317849600 319355040 329232000 332661500 336163200 337133568 340645376 351180800 353856000 354877440 358574080 362348544 369664000 373555200 377446400 381419520 397312000 399193800 420204000 421416960 425806720 430288896 438976000 443596800 448217600 449511424 452935680 466944000 471808000 473169920 476774400 483131392 498992250 510968064 526771200 532258400 537861120 554496000 560272000 561889280 566169600 567803904 573718528 591462400 595968000 603914240 622592000 635699200 638710080 658464000 665323000 672326400 674267136 681290752 702361600 707712000 709754880 717148160 724697088 739328000 747110400 754892800 762839040 794624000 798387600 840408000 842833920 851613440 860577792 877952000 887193600 896435200 899022848 905871360 933888000 943616000 946339840 953548800 966262784 997984500 1021936128 1053542400 1064516800 1075722240 1108992000 1120544000 1123778560 1132339200 1147437056 1182924800 1191936000 1207828480 1245184000 1271398400 1277420160 1316928000 1330646000 1344652800 1348534272 1362581504 1404723200 1415424000 1419509760 1434296320 1449394176 1478656000 1509785600 1589248000 1596775200 1680816000 1685667840 1703226880 1721155584 1755904000 1774387200 1792870400 1798045696 1811742720 1867776000 1887232000 1907097600 1995969000 2043872256 2107084800 2129033600 2151444480 2217984000 2241088000 2247557120 2264678400 2294874112 2365849600 2383872000 2415656960 2554840320 2633856000 2661292000 2689305600 2697068544 2725163008 2809446400 2830848000 2839019520 2868592640 2898788352 2957312000 3019571200 3178496000 3193550400 3361632000 3371335680 3406453760 3442311168 3511808000 3548774400 3585740800 3596091392 3623485440 3735552000 3774464000 3814195200 3991938000 4087744512 4214169600 4258067200 4302888960 4435968000 4482176000 4495114240 4529356800 4589748224 4731699200 4767744000 4831313920 5109680640 5267712000 5322584000 5378611200 5394137088 5450326016 5618892800 5661696000 5737185280 5914624000 6039142400 6356992000 6387100800 6723264000 6742671360 6812907520 6884622336 7023616000 7097548800 7171481600 7246970880 7548928000 7983876000 8175489024 8428339200 8516134400 8605777920 8871936000 8964352000 8990228480 9058713600 9179496448 9535488000 10219361280 10535424000 10645168000 10757222400 10788274176 10900652032 11237785600 11323392000 11474370560 11829248000 12078284800 12774201600 13446528000 13485342720 13625815040 13769244672 14047232000 14195097600 14342963200 14493941760 15097856000 15967752000 16350978048 16856678400 17032268800 17211555840 17743872000 17928704000 17980456960 18117427200 18358992896 19070976000 20438722560 21070848000 21290336000 21514444800 21801304064 22475571200 22646784000 22948741120 23658496000 24156569600 25548403200 26893056000 26970685440 27251630080 27538489344 28094464000 28685926400 30195712000 31935504000 32701956096 33713356800 34064537600 34423111680 35487744000 35857408000 36234854400 40877445120 42141696000 42580672000 43028889600 43602608128 44951142400 45293568000 45897482240 51096806400 53786112000 53941370880 54503260160 55076978688 56188928000 57371852800 60391424000 63871008000 65403912192 67426713600 68129075200 68846223360 70975488000 71714816000 72469708800 81754890240 84283392000 85161344000 86057779200 87205216256 89902284800 90587136000 91794964480 102193612800 107572224000 109006520320 112377856000 114743705600 120782848000 127742016000 130807824384 134853427200 136258150400 137692446720 143429632000 163509780480 168566784000 170322688000 172115558400 174410432512 181174272000 204387225600 215144448000 218013040640 224755712000 229487411200 255484032000 261615648768 269706854400 272516300800 275384893440 286859264000 327019560960 337133568000 340645376000 344231116800 348820865024 362348544000 408774451200 430288896000 436026081280 449511424000 458974822400 510968064000 523231297536 545032601600 573718528000 654039121920 674267136000 681290752000 688462233600 817548902400 860577792000 872052162560 1021936128000 1046462595072 1090065203200 1147437056000 1308078243840 1348534272000 1362581504000 1376924467200 1635097804800 1721155584000 1744104325120 2043872256000 2180130406400 2294874112000 2616156487680 2725163008000 3270195609600 3442311168000 4087744512000 4360260812800 5232312975360 5450326016000 6540391219200 6884622336000 8175489024000 8720521625600 10900652032000 13080782438400 16350978048000 21801304064000 26161564876800 32701956096000 43602608128000 65403912192000 130807824384000
- Sum of all divisors σ(n): 464246598816000
- Sum of proper divisors (its aliquot sum) s(n): 333438774432000
- 130807824384000 is an abundant number, because the sum of its proper divisors (333438774432000) is greater than itself. Its abundance is 202630950048000
Bases of 130807824384000
- Binary: 111011011111000000100011110100000000000000000002
- Hexadecimal: 0x76F811E80000
- Base-36: 1AD8A9A39C
Squares and roots of 130807824384000
- 130807824384000 squared (1308078243840002) is 17110686920075384979456000000
- 130807824384000 cubed (1308078243840003) is 2238211729730826802433871895855104000000000
-
The
square root of 130807824384000 is 11437124.8303059105 -
The
cube root of 130807824384000 is 50762.6837035325
Scales and comparisons
How big is 130807824384000?- 130,807,824,384,000 seconds is equal to 4,159,284 years, 10 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 130,807,824,384,000 would take you about ten million, three hundred ninety-eight thousand, two hundred ten 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 130807824384000 cubic inches would be around 4230.2 feet tall.
Recreational maths with 130807824384000
- 130807824384000 backwards is 000483428708031
- 130807824384000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130807824384000's digits is 48
- More coming soon!
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The information we have on file for 130807824384000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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