13738996645888000
13,738,996,645,888,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13738996645888000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1152 divisors.
13738996645888000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13738996645888000:
217 × 53 × 233 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 23 × 23 × 41 × 41 × 41)See below for interesting mathematical facts about the number 13738996645888000 from the Numbermatics database.
Names of 13738996645888000
- Cardinal: 13738996645888000 can be written as Thirteen quadrillion, seven hundred thirty-eight trillion, nine hundred ninety-six billion, six hundred forty-five million, eight hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.3738996645888 × 1016
Factors of 13738996645888000
Divisors of 13738996645888000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 41 46 50 64 80 82 92 100 115 125 128 160 164 184 200 205 230 250 256 320 328 368 400 410 460 500 512 529 575 640 656 736 800 820 920 943 1000 1024 1025 1058 1150 1280 1312 1472 1600 1640 1681 1840 1886 2000 2048 2050 2116 2300 2560 2624 2645 2875 2944 3200 3280 3362 3680 3772 4000 4096 4100 4232 4600 4715 5120 5125 5248 5290 5750 5888 6400 6560 6724 7360 7544 8000 8192 8200 8405 8464 9200 9430 10240 10250 10496 10580 11500 11776 12167 12800 13120 13225 13448 14720 15088 16000 16384 16400 16810 16928 18400 18860 20480 20500 20992 21160 21689 23000 23552 23575 24334 25600 26240 26450 26896 29440 30176 32000 32768 32800 33620 33856 36800 37720 38663 40960 41000 41984 42025 42320 43378 46000 47104 47150 48668 51200 52480 52900 53792 58880 60352 60835 64000 65536 65600 66125 67240 67712 68921 73600 75440 77326 81920 82000 83968 84050 84640 86756 92000 94208 94300 97336 102400 104960 105800 107584 108445 117760 117875 120704 121670 128000 131072 131200 132250 134480 135424 137842 147200 150880 154652 163840 164000 167936 168100 169280 173512 184000 188416 188600 193315 194672 204800 209920 210125 211600 215168 216890 235520 235750 241408 243340 256000 262400 264500 268960 270848 275684 294400 301760 304175 309304 327680 328000 335872 336200 338560 344605 347024 368000 376832 377200 386630 389344 409600 419840 420250 423200 430336 433780 471040 471500 482816 486680 498847 512000 524800 529000 537920 541696 542225 551368 588800 603520 608350 618608 655360 656000 671744 672400 677120 689210 694048 736000 753664 754400 773260 778688 819200 839680 840500 846400 860672 867560 889249 942080 943000 965632 966575 973360 997694 1024000 1049600 1058000 1075840 1083392 1084450 1102736 1177600 1207040 1216700 1237216 1312000 1343488 1344800 1354240 1378420 1388096 1472000 1507328 1508800 1520875 1546520 1557376 1585183 1638400 1679360 1681000 1692800 1721344 1723025 1735120 1778498 1884160 1886000 1931264 1933150 1946720 1995388 2048000 2099200 2116000 2151680 2166784 2168900 2205472 2355200 2414080 2433400 2474432 2494235 2624000 2686976 2689600 2708480 2711125 2756840 2776192 2944000 3014656 3017600 3041750 3093040 3114752 3170366 3276800 3358720 3362000 3385600 3442688 3446050 3470240 3556996 3768320 3772000 3862528 3866300 3893440 3990776 4096000 4198400 4232000 4303360 4333568 4337800 4410944 4446245 4710400 4828160 4832875 4866800 4948864 4988470 5248000 5373952 5379200 5416960 5422250 5513680 5552384 5888000 6035200 6083500 6186080 6229504 6340732 6717440 6724000 6771200 6885376 6892100 6940480 7113992 7536640 7544000 7725056 7732600 7786880 7925915 7981552 8192000 8396800 8464000 8606720 8615125 8667136 8675600 8821888 8892490 9420800 9656320 9665750 9733600 9897728 9976940 10496000 10758400 10833920 10844500 11027360 11104768 11776000 12070400 12167000 12372160 12459008 12471175 12681464 13434880 13448000 13542400 13770752 13784200 13880960 14227984 15073280 15088000 15450112 15465200 15573760 15851830 15963104 16384000 16793600 16928000 17213440 17230250 17334272 17351200 17643776 17784980 18841600 19312640 19331500 19467200 19795456 19953880 20452727 20992000 21516800 21667840 21689000 22054720 22209536 22231225 23552000 24140800 24334000 24744320 24918016 24942350 25362928 26869760 26896000 27084800 27541504 27568400 27761920 28455968 30176000 30900224 30930400 31147520 31703660 31926208 33587200 33856000 34426880 34460500 34668544 34702400 35287552 35569960 36459209 37683200 38625280 38663000 38934400 39590912 39629575 39907760 40905454 41984000 43033600 43335680 43378000 44109440 44419072 44462450 47104000 48281600 48668000 49488640 49836032 49884700 50725856 53792000 54169600 55083008 55136800 55523840 56911936 60352000 61800448 61860800 62295040 62355875 63407320 63852416 67174400 67712000 68853760 68921000 69337088 69404800 70575104 71139920 72918418 75366400 77250560 77326000 77868800 79181824 79259150 79815520 81810908 83968000 86067200 86671360 86756000 88218880 88838144 88924900 94208000 96563200 97336000 98977280 99672064 99769400 101451712 102263635 107584000 108339200 110166016 110273600 111047680 111156125 113823872 120704000 123600896 123721600 124590080 124711750 126814640 127704832 134348800 135424000 137707520 137842000 138809600 141150208 142279840 145836836 154501120 154652000 155737600 158363648 158518300 159631040 163621816 167936000 172134400 173342720 173512000 176437760 177676288 177849800 182296045 188416000 193126400 194672000 197954560 198147875 199344128 199538800 202903424 204527270 215168000 216678400 220332032 220547200 222095360 222312250 227647744 241408000 247443200 249180160 249423500 253629280 255409664 270848000 275415040 275684000 277619200 282300416 284559680 291673672 309002240 309304000 311475200 316727296 317036600 319262080 327243632 335872000 344268800 346685440 347024000 352875520 355352576 355699600 364592090 376832000 386252800 389344000 395909120 396295750 398688256 399077600 405806848 409054540 430336000 433356800 441094400 444190720 444624500 455295488 482816000 494886400 498360320 498847000 507258560 510819328 511318175 541696000 550830080 551368000 555238400 564600832 569119360 583347344 618004480 618608000 622950400 633454592 634073200 638524160 654487264 671744000 688537600 694048000 705751040 710705152 711399200 729184180 772505600 778688000 791818240 792591500 797376512 798155200 811613696 818109080 838561807 860672000 866713600 882188800 888381440 889249000 910590976 911480225 965632000 989772800 996720640 997694000 1014517120 1021638656 1022636350 1083392000 1101660160 1102736000 1110476800 1129201664 1138238720 1166694688 1237216000 1245900800 1266909184 1268146400 1277048320 1308974528 1377075200 1388096000 1411502080 1421410304 1422798400 1458368360 1545011200 1557376000 1583636480 1585183000 1594753024 1596310400 1623227392 1636218160 1677123614 1721344000 1733427200 1764377600 1776762880 1778498000 1821181952 1822960450 1931264000 1979545600 1993441280 1995388000 2029034240 2043277312 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10145171200 10216386560 10226363500 10471796224 11104768000 11292016640 11382387200 11666946880 12459008000 12669091840 12681464000 12770483200 12985819136 13089745280 13416988912 13770752000 14115020800 14214103040 14227984000 14569455616 14583683600 15450112000 15836364800 15963104000 16232273920 16346218496 16362181600 16771236140 17643776000 17767628800 18211819520 18229604500 18667115008 19795456000 19934412800 20290342400 20432773120 20452727000 20943592448 20964045175 22209536000 22584033280 22764774400 23333893760 24918016000 25338183680 25362928000 25540966400 25971638272 26179490560 26833977824 27541504000 28230041600 28455968000 29138911232 29167367200 31672729600 31926208000 32464547840 32692436992 32724363200 33542472280 35287552000 35535257600 36423639040 36459209000 37334230016 39590912000 39868825600 40580684800 40865546240 40905454000 41887184896 41928090350 44419072000 45168066560 45529548800 46667787520 49836032000 50725856000 51081932800 51943276544 52358981120 53667955648 56460083200 56911936000 58277822464 58334734400 63345459200 63852416000 64929095680 65384873984 65448726400 67084944560 70575104000 71070515200 72847278080 72918418000 74668460032 79181824000 81161369600 81731092480 81810908000 83774369792 83856180700 88838144000 91059097600 93335575040 99672064000 101451712000 102163865600 103886553088 104717962240 104820225875 107335911296 112920166400 113823872000 116555644928 116669468800 126690918400 127704832000 129858191360 130897452800 134169889120 141150208000 145694556160 145836836000 149336920064 158363648000 162322739200 163462184960 163621816000 167548739584 167712361400 177676288000 182118195200 186671150080 199344128000 202903424000 204327731200 207773106176 209435924480 209640451750 214671822592 225840332800 227647744000 233338937600 255409664000 259716382720 261794905600 268339778240 282300416000 291389112320 291673672000 298673840128 316727296000 324645478400 326924369920 327243632000 335097479168 335424722800 355352576000 364236390400 373342300160 405806848000 408655462400 418871848960 419280903500 429343645184 455295488000 466677875200 510819328000 519432765440 523589811200 536679556480 564600832000 582778224640 583347344000 597347680256 633454592000 649290956800 654487264000 670194958336 670849445600 728472780800 746684600320 811613696000 817310924800 837743697920 838561807000 858687290368 910590976000 933355750400 1021638656000 1038865530880 1047179622400 1073359112960 1129201664000 1166694688000 1194695360512 1298581913600 1308974528000 1340389916672 1341698891200 1456945561600 1493369200640 1623227392000 1634621849600 1675487395840 1677123614000 1717374580736 1821181952000 1866711500800 2043277312000 2094359244800 2146718225920 2333389376000 2389390721024 2597163827200 2617949056000 2680779833344 2683397782400 2913891123200 2986738401280 3246454784000 3350974791680 3354247228000 3434749161472 3642363904000 3733423001600 4086554624000 4188718489600 4293436451840 4666778752000 4778781442048 5194327654400 5235898112000 5366795564800 5973476802560 6492909568000 6701949583360 6708494456000 6869498322944 7284727808000 7466846003200 8173109248000 8377436979200 8586872903680 9333557504000 10471796224000 10733591129600 11946953605120 12985819136000 13403899166720 13416988912000 13738996645888 14569455616000 14933692006400 16754873958400 17173745807360 18667115008000 20943592448000 21467182259200 23893907210240 25971638272000 26833977824000 27477993291776 29867384012800 33509747916800 34347491614720 37334230016000 41887184896000 42934364518400 53667955648000 54955986583552 59734768025600 67019495833600 68694983229440 74668460032000 83774369792000 85868729036800 107335911296000 109911973167104 119469536051200 137389966458880 149336920064000 167548739584000 171737458073600 214671822592000 274779932917760 298673840128000 335097479168000 343474916147200 429343645184000 549559865835520 597347680256000 686949832294400 858687290368000 1373899664588800 1717374580736000 2747799329177600 3434749161472000 6869498322944000 13738996645888000
- Sum of all divisors σ(n): 36747284928157440
- Sum of proper divisors (its aliquot sum) s(n): 23008288282269440
- 13738996645888000 is an abundant number, because the sum of its proper divisors (23008288282269440) is greater than itself. Its abundance is 9269291636381440
Bases of 13738996645888000
- Binary: 1100001100111110001011011011101010011000000000000000002
- Hexadecimal: 0x30CF8B6EA60000
- Base-36: 3RA2FXCKW74
Squares and roots of 13738996645888000
- 13738996645888000 squared (137389966458880002) is 188760028835721714067308544000000
- 13738996645888000 cubed (137389966458880003) is 2593373403051702791330522272287604867072000000000
-
The
square root of 13738996645888000 is 117213466.1456950517 -
The
cube root of 13738996645888000 is 239507.0707209619
Scales and comparisons
How big is 13738996645888000?- 13,738,996,645,888,000 seconds is equal to 436,857,595 years, 43 weeks, 1 day, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,738,996,645,888,000 would take you about one billion, three hundred ten million, five hundred seventy-two thousand, seven hundred eighty-seven 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 13738996645888000 cubic inches would be around 19958.9 feet tall.
Recreational maths with 13738996645888000
- 13738996645888000 backwards is 00088854669983731
- The number of decimal digits it has is: 17
- The sum of 13738996645888000's digits is 85
- More coming soon!
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The information we have on file for 13738996645888000 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!
Keywords: Divisors of 13738996645888000, math, Factors of 13738996645888000, curriculum, school, college, exams, university, Prime factorization of 13738996645888000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred thirty-eight trillion, nine hundred ninety-six billion, six hundred forty-five million, eight hundred eighty-eight thousand.