13042045552128000
13,042,045,552,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13042045552128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1664 divisors.
13042045552128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 13042045552128000:
212 × 3 × 53 × 19 × 127 × 181 × 19441
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 127 × 181 × 19441)See below for interesting mathematical facts about the number 13042045552128000 from the Numbermatics database.
Names of 13042045552128000
- Cardinal: 13042045552128000 can be written as Thirteen quadrillion, forty-two trillion, forty-five billion, five hundred fifty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3042045552128 × 1016
Factors of 13042045552128000
Divisors of 13042045552128000
- Number of divisors d(n): 1664
-
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 96 100 114 120 125 127 128 150 152 160 181 190 192 200 228 240 250 254 256 285 300 304 320 362 375 380 381 384 400 456 475 480 500 508 512 543 570 600 608 635 640 724 750 760 762 768 800 905 912 950 960 1000 1016 1024 1086 1140 1200 1216 1270 1280 1425 1448 1500 1520 1524 1536 1600 1810 1824 1900 1905 1920 2000 2032 2048 2172 2280 2375 2400 2413 2432 2540 2560 2715 2850 2896 3000 3040 3048 3072 3175 3200 3439 3620 3648 3800 3810 3840 4000 4064 4096 4344 4525 4560 4750 4800 4826 4864 5080 5120 5430 5700 5792 6000 6080 6096 6144 6350 6400 6878 7125 7239 7240 7296 7600 7620 7680 8000 8128 8688 9050 9120 9500 9525 9600 9652 9728 10160 10240 10317 10860 11400 11584 12000 12065 12160 12192 12288 12700 12800 13575 13756 14250 14478 14480 14592 15200 15240 15360 15875 16000 16256 17195 17376 18100 18240 19000 19050 19200 19304 19441 19456 20320 20480 20634 21720 22625 22800 22987 23168 24000 24130 24320 24384 25400 25600 27150 27512 28500 28956 28960 29184 30400 30480 30720 31750 32000 32512 34390 34752 36195 36200 36480 38000 38100 38400 38608 38882 38912 40640 41268 43440 45250 45600 45974 46336 47625 48000 48260 48640 48768 50800 51200 51585 54300 55024 57000 57912 57920 58323 58368 60325 60800 60960 61440 63500 64000 65024 67875 68780 68961 69504 72390 72400 72960 76000 76200 76800 77216 77764 77824 81280 82536 85975 86880 90500 91200 91948 92672 95250 96000 96520 97205 97280 97536 101600 102400 103170 108600 110048 114000 114935 115824 115840 116646 116736 120650 121600 121920 127000 128000 130048 135750 137560 137922 139008 144780 144800 145920 152000 152400 153600 154432 155528 162560 165072 171950 173760 180975 181000 182400 183896 185344 190500 192000 193040 194410 194560 195072 203200 206340 217200 220096 228000 229870 231648 231680 233292 233472 241300 243200 243840 254000 256000 257925 260096 271500 275120 275844 278016 289560 289600 291615 291840 301625 304000 304800 307200 308864 311056 325120 330144 343900 344805 347520 361950 362000 364800 367792 369379 370688 381000 384000 386080 388820 389120 390144 406400 412680 429875 434400 436753 440192 456000 459740 463296 463360 466584 482600 486025 486400 487680 508000 512000 515850 520192 543000 550240 551688 556032 574675 579120 579200 583230 583680 603250 608000 609600 617728 622112 650240 660288 687800 689610 695040 723900 724000 729600 735584 738758 741376 762000 768000 772160 777640 780288 812800 825360 859750 868800 873506 880384 904875 912000 919480 926592 926720 933168 965200 972050 972800 975360 1016000 1031700 1086000 1100480 1103376 1108137 1112064 1149350 1158240 1158400 1166460 1167360 1206500 1216000 1219200 1235456 1244224 1289625 1300480 1310259 1320576 1375600 1379220 1390080 1447800 1448000 1458075 1459200 1471168 1477516 1524000 1536000 1544320 1555280 1560576 1625600 1650720 1719500 1724025 1737600 1747012 1760768 1809750 1824000 1838960 1846895 1853184 1853440 1866336 1930400 1944100 1945600 1950720 2032000 2063400 2172000 2183765 2200960 2206752 2216274 2224128 2298700 2316480 2316800 2332920 2413000 2430125 2432000 2438400 2469007 2470912 2488448 2579250 2600960 2620518 2641152 2751200 2758440 2780160 2873375 2895600 2896000 2916150 2918400 2942336 2955032 3048000 3088640 3110560 3251200 3301440 3439000 3448050 3475200 3494024 3518821 3521536 3619500 3648000 3677920 3693790 3706368 3706880 3732672 3860800 3888200 3901440 4064000 4126800 4344000 4367530 4401920 4413504 4432548 4597400 4632960 4633600 4665840 4826000 4860250 4864000 4876800 4938014 4941824 4976896 5158500 5241036 5282304 5502400 5516880 5540685 5560320 5746750 5791200 5792000 5832300 5836800 5884672 5910064 6096000 6177280 6221120 6502400 6551295 6602880 6878000 6896100 6950400 6988048 7037642 7043072 7239000 7290375 7296000 7355840 7387580 7407021 7412736 7465344 7721600 7776400 7802880 8128000 8253600 8620125 8688000 8735060 8803840 8827008 8865096 9194800 9234475 9265920 9267200 9331680 9652000 9720500 9728000 9753600 9876028 9883648 9953792 10317000 10482072 10556463 10564608 10918825 11004800 11033760 11081370 11120640 11493500 11582400 11584000 11664600 11769344 11820128 12192000 12345035 12354560 12442240 13004800 13102590 13205760 13756000 13792200 13900800 13976096 14075284 14086144 14478000 14580750 14592000 14711680 14775160 14814042 14825472 14930688 15443200 15552800 16256000 16507200 17240250 17376000 17470120 17594105 17607680 17654016 17730192 18389600 18468950 18531840 18534400 18663360 19304000 19441000 19507200 19752056 19907584 20634000 20964144 21112926 21129216 21837650 22009600 22067520 22162740 22987000 23164800 23168000 23329200 23538688 23640256 24384000 24690070 24709120 24884480 26205180 26411520 27512000 27584400 27703425 27801600 27952192 28150568 28956000 29161500 29184000 29423360 29550320 29628084 29650944 29861376 30886400 31105600 32512000 32756475 33014400 34480500 34752000 34940240 35188210 35215360 35308032 35460384 36779200 36937900 37035105 37063680 37326720 38608000 38882000 39014400 39504112 39815168 41268000 41928288 42225852 42258432 43675300 44019200 44135040 44325480 45974000 46172375 46329600 46336000 46658400 46911133 47077376 47280512 48768000 49380140 49418240 49768960 52410360 52782315 52823040 54594125 55024000 55168800 55406850 55603200 55904384 56301136 57912000 58323000 58846720 59100640 59256168 59722752 61725175 61772800 62211200 65024000 65512950 66028800 66857599 68961000 69504000 69880480 70376420 70430720 70616064 70920768 73558400 73875800 74070210 74127360 74653440 77216000 77764000 79008224 79630336 82536000 83856576 84451704 87350600 87970525 88038400 88270080 88650960 91948000 92344750 92659200 92672000 93316800 93822266 94154752 94561024 97536000 98760280 99537920 104820720 105564630 105646080 109188250 110048000 110337600 110813700 111808768 112602272 115824000 116646000 117693440 118201280 118512336 119445504 123450350 123545600 124422400 131025900 132057600 133715198 137922000 138517125 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636818630475 641832950400 670335400500 670852608000 675613632000 679273205840 684621813760 686423450112 715024427200 720555002880 750578128000 758478950400 802291188000 815127847008 821546176512 849091507300 855777267200 858029312640 893780534000 900693753600 900818176000 915231266816 948098688000 960740003840 1018909808760 1026932720640 1061364384125 1069721584000 1072536640800 1080981811200 1086837129344 1125867192000 1144039083520 1200925004800 1264131584000 1273637260950 1283665900800 1340670801000 1351227264000 1358546411680 1369243627520 1372846900224 1430048854400 1441110005760 1501156256000 1604582376000 1630255694016 1698183014600 1711554534400 1716058625280 1787561068000 1801387507200 1801636352000 1830462533632 1896197376000 2037819617520 2053865441280 2122728768250 2139443168000 2145073281600 2173674258688 2251734384000 2288078167040 2401850009600 2547274521900 2567331801600 2681341602000 2702454528000 2717092823360 2745693800448 2860097708800 2882220011520 3002312512000 3184093152375 3209164752000 3260511388032 3396366029200 3423109068800 3432117250560 3575122136000 3602775014400 3792394752000 4075639235040 4107730882560 4245457536500 4278886336000 4290146563200 4347348517376 4503468768000 4576156334080 4803700019200 5094549043800 5134663603200 5362683204000 5404909056000 5434185646720 5491387600896 5720195417600 6004625024000 6368186304750 6418329504000 6521022776064 6792732058400 6846218137600 6864234501120 7150244272000 7205550028800 8151278470080 8490915073000 8557772672000 8580293126400 8694697034752 9006937536000 9152312668160 10189098087600 10269327206400 10725366408000 10868371293440 11440390835200 12009250048000 12736372609500 12836659008000 13042045552128 13585464116800 13728469002240 14300488544000 14411100057600 16302556940160 16981830146000 17115545344000 17160586252800 17389394069504 18013875072000 20378196175200 20538654412800 21450732816000 21736742586880 22880781670400 24018500096000 25472745219000 25673318016000 26084091104256 27170928233600 27456938004480 28600977088000 32605113880320 33963660292000 34231090688000 34321172505600 34778788139008 36027750144000 40756392350400 42901465632000 43473485173760 45761563340800 50945490438000 51346636032000 52168182208512 54341856467200 57201954176000 65210227760640 67927320584000 68642345011200 72055500288000 81512784700800 85802931264000 86946970347520 101890980876000 102693272064000 104336364417024 108683712934400 114403908352000 130420455521280 135854641168000 137284690022400 163025569401600 171605862528000 173893940695040 203781961752000 217367425868800 228807816704000 260840911042560 271709282336000 326051138803200 343211725056000 407563923504000 434734851737600 521681822085120 543418564672000 652102277606400 686423450112000 815127847008000 869469703475200 1086837129344000 1304204555212800 1630255694016000 2173674258688000 2608409110425600 3260511388032000 4347348517376000 6521022776064000 13042045552128000
- Sum of all divisors σ(n): 46299234195701760
- Sum of proper divisors (its aliquot sum) s(n): 33257188643573760
- 13042045552128000 is an abundant number, because the sum of its proper divisors (33257188643573760) is greater than itself. Its abundance is 20215143091445760
Bases of 13042045552128000
- Binary: 1011100101010110101011110111000100011101110000000000002
- Hexadecimal: 0x2E55ABDC477000
- Base-36: 3KF0P0I3L6O
Squares and roots of 13042045552128000
- 13042045552128000 squared (130420455521280002) is 170094952183781748365328384000000
- 13042045552128000 cubed (130420455521280003) is 2218386114567915591686338385357310001152000000000
-
The
square root of 13042045552128000 is 114201775.6084729183 -
The
cube root of 13042045552128000 is 235386.6912663979
Scales and comparisons
How big is 13042045552128000?- 13,042,045,552,128,000 seconds is equal to 414,696,706 years, 44 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 13,042,045,552,128,000 would take you about one billion, two hundred forty-four million, ninety thousand, one hundred twenty 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 13042045552128000 cubic inches would be around 19615.6 feet tall.
Recreational maths with 13042045552128000
- 13042045552128000 backwards is 00082125554024031
- The number of decimal digits it has is: 17
- The sum of 13042045552128000's digits is 42
- More coming soon!
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"Number 13042045552128000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13042045552128000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13042045552128000/
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The information we have on file for 13042045552128000 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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