13006314410240000
13,006,314,410,240,000 is an even composite number composed of six prime numbers multiplied together.
13006314410240000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13006314410240000:
211 × 54 × 23 × 89 × 1289 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 23 × 89 × 1289 × 3851)See below for interesting mathematical facts about the number 13006314410240000 from the Numbermatics database.
Names of 13006314410240000
- Cardinal: 13006314410240000 can be written as Thirteen quadrillion, six trillion, three hundred fourteen billion, four hundred ten million, two hundred forty thousand.
Scientific notation
- Scientific notation: 1.300631441024 × 1016
Factors of 13006314410240000
Divisors of 13006314410240000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 89 92 100 115 125 128 160 178 184 200 230 250 256 320 356 368 400 445 460 500 512 575 625 640 712 736 800 890 920 1000 1024 1150 1250 1280 1289 1424 1472 1600 1780 1840 2000 2047 2048 2225 2300 2500 2560 2578 2848 2875 2944 3200 3560 3680 3851 4000 4094 4450 4600 5000 5120 5156 5696 5750 5888 6400 6445 7120 7360 7702 8000 8188 8900 9200 10000 10235 10240 10312 11125 11392 11500 11776 12800 12890 14240 14375 14720 15404 16000 16376 17800 18400 19255 20000 20470 20624 22250 22784 23000 23552 25600 25780 28480 28750 29440 29647 30808 32000 32225 32752 35600 36800 38510 40000 40940 41248 44500 45568 46000 47104 51175 51200 51560 55625 56960 57500 58880 59294 61616 64000 64450 65504 71200 73600 77020 80000 81880 82496 88573 89000 91136 92000 96275 102350 103120 111250 113920 114721 115000 117760 118588 123232 128000 128900 131008 142400 147200 148235 154040 160000 161125 163760 164992 177146 178000 182272 184000 192550 204700 206240 222500 227840 229442 230000 235520 237176 246464 255875 256000 257800 262016 284800 294400 296470 308080 320000 322250 327520 329984 342739 354292 356000 368000 385100 409400 412480 442865 445000 455680 458884 460000 474352 481375 492928 511750 515600 524032 569600 573605 588800 592940 616160 640000 644500 655040 659968 685478 708584 712000 736000 741175 770200 805625 818800 824960 885730 890000 911360 917768 920000 948704 962750 985856 1023500 1031200 1048064 1139200 1147210 1177600 1185880 1232320 1279375 1280000 1289000 1310080 1319936 1370956 1417168 1424000 1472000 1482350 1540400 1611250 1637600 1649920 1713695 1771460 1780000 1835536 1840000 1897408 1925500 1971712 2047000 2062400 2096128 2214325 2278400 2294420 2371760 2406875 2464640 2558750 2578000 2620160 2638583 2639872 2741912 2834336 2848000 2868025 2944000 2964700 3080800 3222500 3275200 3299840 3427390 3542920 3560000 3671072 3680000 3705875 3794816 3851000 3943424 4094000 4124800 4192256 4428650 4556800 4588840 4743520 4813750 4929280 4963939 5117500 5156000 5240320 5277166 5483824 5668672 5696000 5736050 5888000 5929400 6161600 6445000 6550400 6599680 6854780 7085840 7120000 7342144 7360000 7411750 7589632 7702000 7882997 7886848 8188000 8249600 8568475 8857300 9177680 9487040 9627500 9858560 9927878 10235000 10312000 10480640 10554332 10967648 11071625 11337344 11392000 11472100 11858800 12323200 12890000 13100800 13192915 13199360 13709560 14171680 14240000 14340125 14684288 14720000 14823500 15179264 15404000 15765994 16376000 16499200 17136950 17714600 18355360 18529375 18974080 19255000 19717120 19855756 20470000 20624000 20961280 21108664 21935296 22143250 22674688 22784000 22944200 23717600 24646400 24819695 25780000 26201600 26385830 27419120 28343360 28480000 28680250 29368576 29440000 29647000 30358528 30808000 31531988 32752000 32998400 34273900 35429200 36710720 37058750 37948160 38510000 39414985 39434240 39711512 40940000 41248000 42217328 42842375 43870592 44286500 45349376 45888400 47435200 49292800 49639390 51560000 52403200 52771660 54838240 55358125 56686720 56960000 57360500 58737152 59294000 60717056 61616000 63063976 65504000 65964575 65996800 68547800 70858400 71700625 73421440 74117500 75896320 77020000 78829970 79423024 81880000 82496000 84434656 85684750 87741184 88573000 90698752 91776800 94870400 98585600 99278780 103120000 104806400 105543320 109676480 110716250 113373440 113920000 114170597 114721000 117474304 118588000 123232000 124098475 126127952 131008000 131929150 137095600 141716800 143401250 146842880 148235000 151792640 154040000 157659940 158846048 163760000 164992000 168869312 171369500 175482368 177146000 181397504 183553600 189740800 197074925 197171200 198557560 206240000 211086640 214211875 219352960 221432500 226746880 228341194 229442000 234948608 237176000 246464000 248196950 252255904 262016000 263858300 274191200 283433600 286802500 293685760 296470000 303585280 308080000 315319880 317692096 327520000 329822875 329984000 337738624 342739000 350964736 354292000 367107200 379481600 394149850 397115120 412480000 422173280 428423750 438705920 441790571 442865000 453493760 456682388 458884000 474352000 492928000 496393900 504511808 524032000 527716600 548382400 566867200 570852985 573605000 587371520 592940000 616160000 620492375 630639760 635384192 655040000 659645750 675477248 685478000 701929472 708584000 734214400 758963200 788299700 794230240 824960000 844346560 856847500 877411840 883581142 885730000 906987520 913364776 917768000 948704000 985374625 985856000 992787800 1009023616 1055433200 1096764800 1133734400 1141705970 1147210000 1174743040 1185880000 1232320000 1240984750 1261279520 1270768384 1310080000 1319291500 1350954496 1370956000 1417168000 1468428800 1517926400 1576599400 1588460480 1649114375 1649920000 1688693120 1713695000 1754823680 1767162284 1771460000 1826729552 1835536000 1897408000 1970749250 1985575600 2018047232 2110866400 2193529600 2208952855 2267468800 2283411940 2294420000 2371760000 2464640000 2481969500 2522559040 2541536768 2620160000 2638583000 2701908992 2741912000 2834336000 2854264925 2936857600 3102461875 3153198800 3176920960 3298228750 3377386240 3427390000 3509647360 3534324568 3542920000 3653459104 3671072000 3794816000 3941498500 3971151200 4036094464 4221732800 4387059200 4417905710 4534937600 4566823880 4588840000 4743520000 4926873125 4929280000 4963939000 5045118080 5083073536 5277166000 5403817984 5483824000 5668672000 5708529850 5873715200 6204923750 6306397600 6353841920 6596457500 6754772480 6854780000 7068649136 7085840000 7306918208 7342144000 7589632000 7882997000 7942302400 8072188928 8443465600 8774118400 8835811420 9133647760 9177680000 9487040000 9853746250 9927878000 10090236160 10161183133 10166147072 10554332000 10967648000 11044764275 11337344000 11417059700 12409847500 12612795200 12707683840 13192915000 13509544960 13709560000 14137298272 14171680000 14271324625 14613836416 14684288000 15765994000 15884604800 16144377856 16886931200 17548236800 17671622840 18267295520 18355360000 18974080000 19707492500 19855756000 20180472320 20322366266 21108664000 21935296000 22089528550 22674688000 22834119400 24819695000 25225590400 25415367680 26385830000 27019089920 27419120000 28274596544 28343360000 28542649250 29227672832 29368576000 31531988000 31769209600 33773862400 35343245680 36534591040 36710720000 37948160000 39414985000 39711512000 40360944640 40644732532 42217328000 43870592000 44179057100 45668238800 49639390000 50451180800 50805915665 50830735360 52771660000 54838240000 55223821375 56549193088 56686720000 57085298500 58455345664 63063976000 63538419200 67547724800 70686491360 71356623125 73069182080 73421440000 78829970000 79423024000 80721889280 81289465064 84434656000 87741184000 88358114200 91336477600 99278780000 100902361600 101611831330 105543320000 109676480000 110447642750 113098386176 113373440000 114170597000 116910691328 126127952000 127076838400 135095449600 141372982720 142713246250 146138364160 146842880000 157659940000 158846048000 162578930128 168869312000 176716228400 182672955200 198557560000 201804723200 203223662660 211086640000 219352960000 220895285500 226196772352 228341194000 233821382656 252255904000 254029578325 254153676800 276119106875 282745965440 285426492500 292276728320 315319880000 317692096000 325157860256 337738624000 353432456800 365345910400 397115120000 403609446400 406447325320 422173280000 438705920000 441790571000 452393544704 456682388000 504511808000 508059156650 552238213750 565491930880 570852985000 584553456640 630639760000 635384192000 650315720512 675477248000 706864913600 730691820800 794230240000 812894650640 844346560000 883581142000 904787089408 913364776000 1009023616000 1016118313300 1104476427500 1130983861760 1141705970000 1169106913280 1261279520000 1270147891625 1270768384000 1300631441024 1413729827200 1461383641600 1588460480000 1625789301280 1688693120000 1767162284000 1826729552000 2018047232000 2032236626600 2208952855000 2261967723520 2283411940000 2522559040000 2540295783250 2601262882048 2827459654400 2922767283200 3176920960000 3251578602560 3377386240000 3534324568000 3653459104000 4064473253200 4417905710000 4523935447040 4566823880000 5045118080000 5080591566500 5202525764096 5654919308800 5845534566400 6350739458125 6353841920000 6503157205120 7068649136000 7306918208000 8128946506400 8835811420000 9133647760000 10090236160000 10161183133000 10405051528192 11309838617600 12701478916250 13006314410240 14137298272000 14613836416000 16257893012800 17671622840000 18267295520000 20322366266000 20810103056384 22619677235200 25402957832500 26012628820480 28274596544000 29227672832000 32515786025600 35343245680000 36534591040000 40644732532000 50805915665000 52025257640960 56549193088000 65031572051200 70686491360000 73069182080000 81289465064000 101611831330000 104050515281920 113098386176000 130063144102400 141372982720000 146138364160000 162578930128000 203223662660000 260126288204800 282745965440000 325157860256000 406447325320000 520252576409600 565491930880000 650315720512000 812894650640000 1300631441024000 1625789301280000 2601262882048000 3251578602560000 6503157205120000 13006314410240000
- Sum of all divisors σ(n): 34326907510896000
- Sum of proper divisors (its aliquot sum) s(n): 21320593100656000
- 13006314410240000 is an abundant number, because the sum of its proper divisors (21320593100656000) is greater than itself. Its abundance is 8314278690416000
Bases of 13006314410240000
- Binary: 1011100011010100101100100011100100001001101000000000002
- Hexadecimal: 0x2E352C8E426800
- Base-36: 3K2CQCQRQBK
Squares and roots of 13006314410240000
- 13006314410240000 squared (130063144102400002) is 169164214538016679016857600000000
- 13006314410240000 cubed (130063144102400003) is 2200202961242737236606423638762061824000000000000
-
The
square root of 13006314410240000 is 114045229.6689344213 -
The
cube root of 13006314410240000 is 235171.5325889569
Scales and comparisons
How big is 13006314410240000?- 13,006,314,410,240,000 seconds is equal to 413,560,567 years, 3 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,006,314,410,240,000 would take you about one billion, two hundred forty million, six hundred eighty-one thousand, seven hundred one 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 13006314410240000 cubic inches would be around 19597.6 feet tall.
Recreational maths with 13006314410240000
- 13006314410240000 backwards is 00004201441360031
- The number of decimal digits it has is: 17
- The sum of 13006314410240000's digits is 29
- More coming soon!
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