13123991296000
13,123,991,296,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13123991296000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
13123991296000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13123991296000:
211 × 53 × 13 × 17 × 19 × 29 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 19 × 29 × 421)See below for interesting mathematical facts about the number 13123991296000 from the Numbermatics database.
Names of 13123991296000
- Cardinal: 13123991296000 can be written as Thirteen trillion, one hundred twenty-three billion, nine hundred ninety-one million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3123991296 × 1013
Factors of 13123991296000
Divisors of 13123991296000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 29 32 34 38 40 50 52 58 64 65 68 76 80 85 95 100 104 116 125 128 130 136 145 152 160 170 190 200 208 221 232 247 250 256 260 272 290 304 320 323 325 340 377 380 400 416 421 425 442 464 475 493 494 500 512 520 544 551 580 608 640 646 650 680 725 754 760 800 832 842 850 884 928 950 986 988 1000 1024 1040 1088 1102 1105 1160 1216 1235 1280 1292 1300 1360 1450 1508 1520 1600 1615 1625 1664 1684 1700 1768 1856 1885 1900 1972 1976 2000 2048 2080 2105 2125 2176 2204 2210 2320 2375 2432 2465 2470 2560 2584 2600 2720 2755 2900 3016 3040 3200 3230 3250 3328 3368 3400 3536 3625 3712 3770 3800 3944 3952 4000 4160 4199 4210 4250 4352 4408 4420 4640 4750 4864 4930 4940 5120 5168 5200 5440 5473 5510 5525 5800 6032 6080 6175 6400 6409 6460 6500 6656 6736 6800 7072 7157 7163 7250 7424 7540 7600 7888 7904 7999 8000 8075 8320 8398 8420 8500 8704 8816 8840 9280 9367 9425 9500 9728 9860 9880 10240 10336 10400 10525 10880 10946 11020 11050 11600 12064 12160 12209 12325 12350 12800 12818 12920 13000 13312 13472 13600 13775 14144 14314 14326 14500 14848 15080 15200 15776 15808 15998 16000 16150 16640 16796 16840 17000 17408 17632 17680 18560 18734 18850 19000 19456 19720 19760 20672 20800 20995 21050 21760 21892 22040 22100 23200 24128 24320 24418 24650 24700 25600 25636 25840 26000 26624 26944 27200 27365 27550 27625 28288 28628 28652 29000 29696 30160 30400 30875 31552 31616 31996 32000 32045 32300 33280 33592 33680 34000 34816 35264 35360 35785 35815 37120 37468 37700 38000 38912 39440 39520 39995 40375 41344 41600 41990 42100 43520 43784 44080 44200 46400 46835 47125 48256 48640 48836 49300 49400 51200 51272 51680 52000 52625 53888 54400 54730 55100 55250 56576 57256 57304 58000 59392 60320 60800 61045 61625 61750 63104 63232 63992 64000 64090 64600 66560 67184 67360 68000 68875 70528 70720 71570 71630 74240 74936 75400 76000 78880 79040 79990 80750 82688 83200 83980 84200 87040 87568 88160 88400 92800 93041 93670 94250 96512 97280 97672 98600 98800 102544 103360 103987 104000 104975 105250 107776 108800 109460 110200 110500 113152 114512 114608 116000 120640 121600 121771 122090 123250 123500 126208 126464 127984 128000 128180 129200 133120 134368 134720 135983 136000 136825 137750 141056 141440 143140 143260 148480 149872 150800 152000 157760 158080 158717 159980 160225 161500 165376 166400 167960 168400 174080 175136 176320 176800 178925 179075 185600 186082 187340 188500 193024 194560 195344 197200 197600 199975 205088 206720 207553 207974 208000 209950 210500 215552 217600 218920 220400 221000 226304 229024 229216 231971 232000 234175 241280 243200 243542 244180 246500 247000 252416 252928 255968 256000 256360 258400 268736 269440 271966 272000 273650 275500 282112 282880 286280 286520 296960 299744 301600 304000 305225 315520 316160 317434 319960 320450 323000 330752 332800 335920 336800 350272 352640 353600 357850 358150 371200 372164 374680 377000 386048 390688 394400 395200 399950 410176 413440 415106 415948 416000 419900 421000 431104 435200 437840 440800 442000 452608 458048 458432 463942 464000 465205 468350 482560 486400 487084 488360 493000 494000 504832 505856 511936 512720 516800 519935 524875 537472 538880 543932 544000 547300 551000 564224 565760 572560 573040 599488 603200 608000 608855 610450 631040 632320 634868 639920 640900 646000 661504 665600 671840 673600 679915 684125 700544 705280 707200 715700 716300 742400 744328 749360 754000 772096 781376 788800 790400 793585 799900 801125 820352 826880 830212 831896 832000 839800 842000 862208 870400 875680 881600 884000 894625 895375 916096 916864 927884 928000 930410 936700 965120 972800 974168 976720 986000 988000 999875 1009664 1023872 1025440 1033600 1037765 1039870 1049750 1074944 1077760 1087864 1088000 1094600 1102000 1128448 1131520 1145120 1146080 1159855 1170875 1198976 1206400 1216000 1217710 1220900 1262080 1264640 1269736 1279840 1281800 1292000 1343680 1347200 1359830 1368250 1401088 1410560 1414400 1431400 1432600 1484800 1488656 1498720 1508000 1526125 1562752 1577600 1580800 1587170 1599800 1602250 1640704 1653760 1660424 1663792 1664000 1679600 1684000 1751360 1763200 1767779 1768000 1789250 1790750 1832192 1833728 1855768 1856000 1860820 1873400 1930240 1948336 1953440 1972000 1976000 1999750 2047744 2050880 2067200 2075530 2079740 2099500 2149888 2155520 2175728 2176000 2189200 2204000 2263040 2290240 2292160 2319710 2326025 2341750 2397952 2412800 2432000 2435420 2441800 2524160 2529280 2539472 2559680 2563600 2584000 2599675 2687360 2694400 2698189 2719660 2736500 2802176 2821120 2828800 2862800 2865200 2977312 2997440 3015623 3016000 3044275 3052250 3125504 3155200 3161600 3174340 3199600 3204500 3281408 3307520 3320848 3327584 3328000 3359200 3368000 3399575 3502720 3526400 3535558 3536000 3578500 3581500 3664384 3667456 3711536 3712000 3721640 3746800 3860480 3896672 3906880 3943507 3944000 3952000 3967925 3999500 4095488 4101760 4134400 4151060 4159480 4199000 4299776 4311040 4351456 4352000 4378400 4408000 4580480 4584320 4639420 4652050 4683500 4795904 4825600 4864000 4870840 4883600 5048320 5078944 5119360 5127200 5168000 5188825 5199350 5374720 5388800 5396378 5439320 5473000 5604352 5642240 5657600 5725600 5730400 5799275 5954624 5994880 6031246 6032000 6088550 6104500 6251008 6310400 6323200 6348680 6399200 6409000 6562816 6641696 6655168 6718400 6736000 6799150 7005440 7052800 7071116 7072000 7157000 7163000 7328768 7334912 7423072 7424000 7443280 7493600 7793344 7813760 7887014 7888000 7904000 7935850 7999000 8190976 8203520 8268800 8302120 8318960 8398000 8599552 8702912 8756800 8816000 8838895 9160960 9168640 9278840 9304100 9367000 9591808 9651200 9741680 9767200 10157888 10238720 10254400 10336000 10377650 10398700 10749440 10777600 10792756 10878640 10946000 11208704 11315200 11451200 11460800 11598550 11630125 11909248 11989760 12062492 12064000 12177100 12209000 12502016 12620800 12646400 12697360 12798400 12818000 12998375 13125632 13283392 13310336 13436800 13472000 13490945 13598300 14010880 14105600 14142232 14144000 14314000 14326000 14657536 14669824 14846144 14886560 14987200 15078115 15221375 15586688 15627520 15774028 15776000 15808000 15871700 15998000 16381952 16407040 16537600 16604240 16637920 16796000 16997875 17405824 17513600 17632000 17677790 18321920 18337280 18557680 18608200 18734000 19183616 19302400 19483360 19534400 19717535 19839625 20315776 20477440 20508800 20672000 20755300 20797400 21498880 21555200 21585512 21757280 21892000 22902400 22921600 23197100 23260250 23818496 23979520 24124984 24128000 24354200 24418000 25004032 25241600 25394720 25596800 25636000 25944125 25996750 26566784 26620672 26873600 26944000 26981890 27196600 28021760 28211200 28284464 28288000 28628000 28652000 28996375 29692288 29773120 29974400 30156230 30442750 31173376 31255040 31548056 31552000 31616000 31743400 31996000 32814080 33208480 33275840 33592000 33995750 34811648 35027200 35264000 35355580 36643840 36674560 37115360 37216400 37468000 38966720 39068800 39435070 39679250 40631552 40954880 41017600 41344000 41510600 41594800 42997760 43171024 43514560 43784000 44194475 45804800 45843200 46394200 46520500 47636992 47959040 48249968 48256000 48708400 48836000 50789440 51193600 51265591 51272000 51888250 51993500 53133568 53241344 53747200 53888000 53963780 54393200 56043520 56568928 56576000 57256000 57304000 57992750 59384576 59546240 59948800 60312460 60885500 62346752 62510080 63096112 63104000 63232000 63486800 63992000 65628160 66416960 66551680 67184000 67454725 67991500 69623296 70054400 70528000 70711160 73287680 73349120 74230720 74432800 74936000 75390575 77933440 78137600 78870140 79358500 81263104 81909760 82035200 82688000 83021200 83189600 86342048 87029120 87568000 88388950 91609600 91686400 92788400 93041000 95273984 95918080 96499936 96512000 97416800 97672000 98587675 101578880 102387200 102531182 102544000 103776500 103987000 106267136 106482688 107494400 107776000 107927560 108786400 113137856 114512000 114608000 115985500 118769152 119092480 119897600 120624920 121771000 124693504 125020160 126192224 126208000 126973600 127984000 132833920 133103360 134368000 134909450 135983000 139246592 140108800 141056000 141422320 148461440 148865600 149872000 150781150 155866880 156275200 157740280 158717000 162526208 164070400 166042400 166379200 172684096 174058240 175136000 176777900 183219200 183372800 185576800 186082000 190547968 192999872 194833600 195344000 197175350 203157760 204774400 205062364 205088000 207553000 207974000 212534272 212965376 214988800 215855120 217572800 220972375 226275712 229024000 229216000 231971000 237538304 238184960 239795200 241249840 243542000 249387008 252384448 253947200 255968000 256327955 265667840 266206720 268736000 269818900 271966000 278493184 280217600 282844640 296922880 297731200 299744000 301562300 311733760 312550400 315480560 317434000 325052416 328140800 332084800 332758400 337273625 345368192 348116480 350272000 353555800 366438400 366745600 371153600 372164000 376952875 385999744 389667200 390688000 394350700 406315520 409548800 410124728 410176000 415106000 415948000 425068544 431710240 435145600 441944750 452551424 458048000 458432000 463942000 475076608 476369920 479590400 482499680 487084000 492938375 504768896 507894400 511936000 512655910 531335680 532413440 537472000 539637800 543932000 565689280 593845760 595462400 599488000 603124600 623467520 625100800 630961120 634868000 664169600 665516800 674547250 690736384 696232960 700544000 707111600 742307200 744328000 753905750 771999488 779334400 781376000 788701400 812631040 820249456 820352000 830212000 831896000 863420480 870291200 883889500 905102848 916096000 916864000 927884000 952739840 964999360 974168000 985876750 1009537792 1015788800 1023872000 1025311820 1062671360 1064826880 1074944000 1079275600 1087864000 1131378560 1187691520 1190924800 1198976000 1206249200 1246935040 1261922240 1269736000 1281639775 1328339200 1331033600 1349094500 1381472768 1392465920 1401088000 1414223200 1484614400 1488656000 1507811500 1543998976 1558668800 1562752000 1577402800 1625262080 1640498912 1640704000 1660424000 1663792000 1726840960 1740582400 1767779000 1810205696 1832192000 1833728000 1855768000 1929998720 1948336000 1971753500 2019075584 2031577600 2047744000 2050623640 2125342720 2158551200 2175728000 2262757120 2375383040 2381849600 2397952000 2412498400 2523844480 2539472000 2563279550 2656678400 2662067200 2698189000 2762945536 2828446400 2969228800 2977312000 3015623000 3087997952 3117337600 3125504000 3154805600 3280997824 3320848000 3327584000 3453681920 3481164800 3535558000 3620411392 3711536000 3859997440 3896672000 3943507000 4038151168 4063155200 4101247280 4317102400 4351456000 4525514240 4763699200 4824996800 5047688960 5078944000 5126559100 5313356800 5324134400 5396378000 5525891072 5656892800 5938457600 5954624000 6031246000 6175995904 6234675200 6309611200 6408198875 6561995648 6641696000 6655168000 6907363840 6962329600 7071116000 7423072000 7719994880 7793344000 7887014000 8076302336 8126310400 8202494560 8634204800 8702912000 9051028480 9649993600 10095377920 10157888000 10253118200 10626713600 10792756000 11313785600 11876915200 11909248000 12062492000 12619222400 12816397750 13123991296 13283392000 13310336000 13814727680 14142232000 14846144000 15439989760 15586688000 15774028000 16404989120 17268409600 17405824000 18102056960 19299987200 20190755840 20315776000 20506236400 21585512000 22627571200 23818496000 24124984000 25238444800 25632795500 26247982592 26566784000 26620672000 27629455360 28284464000 29692288000 30879979520 31173376000 31548056000 32809978240 34536819200 34811648000 38599974400 40381511680 40631552000 41012472800 43171024000 45255142400 48249968000 50476889600 51265591000 52495965184 53133568000 56568928000 59384576000 63096112000 65619956480 69073638400 77199948800 82024945600 86342048000 90510284800 96499936000 100953779200 102531182000 104991930368 113137856000 126192224000 131239912960 138147276800 154399897600 164049891200 172684096000 192999872000 201907558400 205062364000 226275712000 252384448000 262479825920 328099782400 345368192000 385999744000 410124728000 452551424000 504768896000 524959651840 656199564800 690736384000 771999488000 820249456000 1009537792000 1312399129600 1640498912000 2624798259200 3280997824000 6561995648000 13123991296000
- Sum of all divisors σ(n): 40760804448000
- Sum of proper divisors (its aliquot sum) s(n): 27636813152000
- 13123991296000 is an abundant number, because the sum of its proper divisors (27636813152000) is greater than itself. Its abundance is 14512821856000
Bases of 13123991296000
- Binary: 101111101111101010101101011011011000000000002
- Hexadecimal: 0xBEFAAD6D800
- Base-36: 4NH2TKDTS
Squares and roots of 13123991296000
- 13123991296000 squared (131239912960002) is 172239147537483759616000000
- 13123991296000 cubed (131239912960003) is 2260465073112396694941740302336000000000
-
The
square root of 13123991296000 is 3622704.9694944799 -
The
cube root of 13123991296000 is 23587.8655995251
Scales and comparisons
How big is 13123991296000?- 13,123,991,296,000 seconds is equal to 417,302 years, 17 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,123,991,296,000 would take you about one million, forty-three thousand, two hundred fifty-five 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 13123991296000 cubic inches would be around 1965.7 feet tall.
Recreational maths with 13123991296000
- 13123991296000 backwards is 00069219932131
- The number of decimal digits it has is: 14
- The sum of 13123991296000's digits is 46
- More coming soon!
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The information we have on file for 13123991296000 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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