13006957860144000
13,006,957,860,144,000 is an even composite number composed of six prime numbers multiplied together.
13006957860144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13006957860144000:
27 × 32 × 53 × 53 × 1041091 × 1637
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 53 × 1041091 × 1637)See below for interesting mathematical facts about the number 13006957860144000 from the Numbermatics database.
Names of 13006957860144000
- Cardinal: 13006957860144000 can be written as Thirteen quadrillion, six trillion, nine hundred fifty-seven billion, eight hundred sixty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3006957860144 × 1016
Factors of 13006957860144000
Divisors of 13006957860144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 125 128 144 150 159 160 180 192 200 212 225 240 250 265 288 300 318 320 360 375 384 400 424 450 477 480 500 530 576 600 636 640 720 750 795 800 848 900 954 960 1000 1060 1125 1152 1200 1272 1325 1440 1500 1590 1600 1637 1696 1800 1908 1920 2000 2120 2250 2385 2400 2544 2650 2880 3000 3180 3200 3274 3392 3600 3816 3975 4000 4240 4500 4770 4800 4911 5088 5300 5760 6000 6360 6548 6625 6784 7200 7632 7950 8000 8185 8480 9000 9540 9600 9822 10176 10600 11925 12000 12720 13096 13250 14400 14733 15264 15900 16000 16370 16960 18000 19080 19644 19875 20352 21200 23850 24000 24555 25440 26192 26500 28800 29466 30528 31800 32740 33920 36000 38160 39288 39750 40925 42400 47700 48000 49110 50880 52384 53000 58932 59625 61056 63600 65480 72000 73665 76320 78576 79500 81850 84800 86761 95400 98220 101760 104768 106000 117864 119250 122775 127200 130960 144000 147330 152640 157152 159000 163700 169600 173522 190800 196440 204625 209536 212000 235728 238500 245550 254400 260283 261920 294660 305280 314304 318000 327400 347044 368325 381600 392880 409250 424000 433805 471456 477000 491100 508800 520566 523840 589320 613875 628608 636000 654800 694088 736650 763200 780849 785760 818500 848000 867610 942912 954000 982200 1041091 1041132 1047680 1178640 1227750 1272000 1301415 1309600 1388176 1473300 1526400 1561698 1571520 1637000 1735220 1841625 1885824 1908000 1964400 2082182 2082264 2169025 2357280 2455500 2544000 2602830 2619200 2776352 2946600 3123273 3123396 3143040 3274000 3470440 3683250 3816000 3904245 3928800 4164364 4164528 4338050 4714560 4911000 5205455 5205660 5238400 5552704 5893200 6246546 6246792 6507075 6548000 6940880 7366500 7632000 7808490 7857600 8328728 8329056 8676100 9369819 9429120 9822000 10410910 10411320 10845125 11105408 11786400 12493092 12493584 13014150 13096000 13881760 14733000 15616365 15616980 15715200 16657456 16658112 17352200 18739638 19521225 19644000 20821820 20822640 21690250 23572800 24986184 24987168 26027275 26028300 26192000 27763520 29466000 31232730 31233960 32535375 33314912 33316224 34704400 37479276 39042450 39288000 41643640 41645280 43380500 46849095 47145600 49972368 49974336 52054550 52056600 55177823 55527040 58932000 62465460 62467920 65070750 66629824 69408800 74958552 78081825 78084900 78576000 83287280 83290560 86761000 93698190 97606125 99944736 99948672 104109100 104113200 110355646 117864000 124930920 124935840 130136375 130141500 133259648 138817600 149917104 156163650 156169800 165533469 166574560 166581120 173522000 187396380 195212250 199889472 208218200 208226400 220711292 234245475 235728000 249861840 249871680 260272750 260283000 275889115 277635200 299834208 312327300 312339600 331066938 333149120 347044000 374792760 390409125 390424500 399778944 416436400 416452800 441422584 468490950 496600407 499723680 499743360 520545500 520566000 551778230 599668416 624654600 624679200 662133876 666298240 694088000 749585520 780818250 780849000 827667345 832872800 832905600 882845168 936981900 993200814 999447360 1041091000 1041132000 1103556460 1171227375 1199336832 1249309200 1249358400 1324267752 1379445575 1388176000 1499171040 1561636500 1561698000 1655334690 1665745600 1704265967 1765690336 1873963800 1986401628 1998894720 2082182000 2082264000 2207112920 2342454750 2483002035 2498618400 2498716800 2648535504 2758891150 2998342080 3123273000 3123396000 3310669380 3331491200 3408531934 3531380672 3747927600 3972803256 4138336725 4164364000 4164528000 4414225840 4684909500 4966004070 4997236800 5112797901 5297071008 5517782300 5996684160 6246546000 6246792000 6621338760 6817063868 6897227875 7062761344 7495855200 7945606512 8276673450 8328728000 8521329835 8828451680 9369819000 9932008140 9994473600 10225595802 10594142016 11035564600 12415010175 12493092000 12493584000 13242677520 13634127736 13794455750 14991710400 15338393703 15891213024 16553346900 16657456000 17042659670 17656903360 18739638000 19864016280 20451191604 20691683625 21188284032 22071129200 24830020350 24986184000 25563989505 26485355040 27268255472 27588911500 29983420800 30676787406 31782426048 33106693800 34085319340 35313806720 37479276000 39728032560 40902383208 41383367250 42606649175 44142258400 49660040700 49972368000 51127979010 52970710080 54536510944 55177823000 61353574812 62075050875 63564852096 66213387600 68170638680 74958552000 76691968515 79456065120 81804766416 82766734500 85213298350 88284516800 90326096251 99320081400 102255958020 105941420160 109073021888 110355646000 122707149624 124150101750 127819947525 132426775200 136341277360 149917104000 153383937030 158912130240 163609532832 165533469000 170426596700 176569033600 180652192502 198640162800 204511916040 213033245875 218146043776 220711292000 245414299248 248300203500 255639895050 264853550400 270978288753 272682554720 306767874060 317824260480 327219065664 331066938000 340853193400 361304385004 383459842575 397280325600 409023832080 426066491750 441422584000 451630481255 490828598496 496600407000 511279790100 529707100800 541956577506 545365109440 613535748120 639099737625 654438131328 662133876000 681706386800 722608770008 766919685150 794560651200 812934866259 818047664160 852132983500 882845168000 903260962510 981657196992 993200814000 1022559580200 1083913155012 1090730218880 1227071496240 1278199475250 1324267752000 1354891443765 1363412773600 1445217540016 1533839370300 1589121302400 1625869732518 1636095328320 1704265967000 1806521925020 1917299212875 1963314393984 1986401628000 2045119160400 2167826310024 2258152406275 2454142992480 2556398950500 2648535504000 2709782887530 2726825547200 2890435080032 3067678740600 3251739465036 3272190656640 3408531934000 3613043850040 3834598425750 3972803256000 4064674331295 4090238320800 4335652620048 4516304812550 4908285984960 5112797901000 5419565775060 5453651094400 5780870160064 6135357481200 6503478930072 6774457218825 6817063868000 7226087700080 7669196851500 7945606512000 8129348662590 8180476641600 8671305240096 9032609625100 9816571969920 10225595802000 10839131550120 11290762031375 11561740320128 12270714962400 13006957860144 13548914437650 13634127736000 14452175400160 15338393703000 16258697325180 16360953283200 17342610480192 18065219250200 20323371656475 20451191604000 21678263100240 22581524062750 24541429924800 26013915720288 27097828875300 27268255472000 28904350800320 30676787406000 32517394650360 33872286094125 34685220960384 36130438500400 40646743312950 40902383208000 43356526200480 45163048125500 49082859849600 52027831440576 54195657750600 57808701600640 61353574812000 65034789300720 67744572188250 72260877000800 81293486625900 81804766416000 86713052400960 90326096251000 101616858282375 104055662881152 108391315501200 122707149624000 130069578601440 135489144376500 144521754001600 162586973251800 173426104801920 180652192502000 203233716564750 216782631002400 245414299248000 260139157202880 270978288753000 289043508003200 325173946503600 361304385004000 406467433129500 433565262004800 520278314405760 541956577506000 650347893007200 722608770008000 812934866259000 867130524009600 1083913155012000 1300695786014400 1445217540016000 1625869732518000 2167826310024000 2601391572028800 3251739465036000 4335652620048000 6503478930072000 13006957860144000
- Sum of all divisors σ(n): 47621700308669760
- Sum of proper divisors (its aliquot sum) s(n): 34614742448525760
- 13006957860144000 is an abundant number, because the sum of its proper divisors (34614742448525760) is greater than itself. Its abundance is 21607784588381760
Bases of 13006957860144000
- Binary: 1011100011010111000010010111101101110011000011100000002
- Hexadecimal: 0x2E35C25EDCC380
- Base-36: 3K2KXY889S0
Squares and roots of 13006957860144000
- 13006957860144000 squared (130069578601440002) is 169180952775561783463700736000000
- 13006957860144000 cubed (130069578601440003) is 2200529523490744212538481209621757865984000000000
-
The
square root of 13006957860144000 is 114048050.6634988479 -
The
cube root of 13006957860144000 is 235175.4106695049
Scales and comparisons
How big is 13006957860144000?- 13,006,957,860,144,000 seconds is equal to 413,581,026 years, 41 weeks, 16 hours.
-
To count from 1 to 13,006,957,860,144,000 would take you about one billion, two hundred forty million, seven hundred forty-three thousand and eighty 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 13006957860144000 cubic inches would be around 19598 feet tall.
Recreational maths with 13006957860144000
- 13006957860144000 backwards is 00044106875960031
- The number of decimal digits it has is: 17
- The sum of 13006957860144000's digits is 54
- More coming soon!
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The information we have on file for 13006957860144000 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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