13424084644082400
13,424,084,644,082,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13424084644082400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
13424084644082400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13424084644082400:
25 × 34 × 52 × 17 × 293 × 61 × 8191
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 29 × 29 × 29 × 61 × 8191)See below for interesting mathematical facts about the number 13424084644082400 from the Numbermatics database.
Names of 13424084644082400
- Cardinal: 13424084644082400 can be written as Thirteen quadrillion, four hundred twenty-four trillion, eighty-four billion, six hundred forty-four million, eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.34240846440824 × 1016
Factors of 13424084644082400
Divisors of 13424084644082400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 29 30 32 34 36 40 45 48 50 51 54 58 60 61 68 72 75 80 81 85 87 90 96 100 102 108 116 120 122 135 136 144 145 150 153 160 162 170 174 180 183 200 204 216 225 232 240 244 255 261 270 272 288 290 300 305 306 324 340 348 360 366 400 405 408 425 432 435 450 459 464 480 488 493 510 522 540 544 549 580 600 610 612 648 675 680 696 720 725 732 765 783 800 810 816 841 850 864 870 900 915 918 928 976 986 1020 1037 1044 1080 1098 1160 1200 1220 1224 1275 1296 1305 1350 1360 1377 1392 1440 1450 1464 1479 1525 1530 1566 1620 1632 1647 1682 1700 1740 1769 1800 1830 1836 1952 1972 2025 2040 2074 2088 2160 2175 2196 2295 2320 2349 2400 2440 2448 2465 2523 2550 2592 2610 2700 2720 2745 2754 2784 2900 2928 2958 3050 3060 3111 3132 3240 3294 3364 3400 3480 3538 3600 3660 3672 3825 3915 3944 4050 4080 4148 4176 4205 4320 4350 4392 4437 4575 4590 4640 4698 4880 4896 4930 4941 5046 5100 5185 5220 5307 5400 5490 5508 5800 5856 5916 6100 6120 6222 6264 6480 6525 6588 6728 6800 6885 6960 7076 7200 7320 7344 7395 7569 7650 7830 7888 8100 8160 8191 8235 8296 8352 8410 8700 8784 8845 8874 9150 9180 9333 9396 9760 9860 9882 10092 10200 10370 10440 10614 10800 10980 11016 11475 11600 11745 11832 12200 12240 12325 12444 12528 12615 12960 13050 13176 13311 13456 13600 13725 13770 13920 14152 14297 14640 14688 14790 15138 15300 15555 15660 15776 15921 16200 16382 16470 16592 16820 17400 17568 17690 17748 18300 18360 18666 18792 19575 19720 19764 20184 20400 20740 20880 21025 21228 21600 21960 22032 22185 22707 22950 23200 23490 23664 24389 24400 24480 24573 24650 24705 24888 25056 25230 25925 26100 26352 26535 26622 26912 27450 27540 27999 28304 28594 29280 29580 30073 30276 30600 31110 31320 31842 32400 32764 32940 33184 33640 34425 34800 35380 35496 36600 36720 36975 37332 37584 37845 39150 39440 39528 39933 40368 40800 40955 41175 41480 41760 42050 42456 42891 43920 44064 44225 44370 45414 45900 46665 46980 47328 47763 48778 48800 49146 49300 49410 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305648557470 312981386400 316188162900 319241014128 321457965615 323627884380 326025127968 327776453280 329021682453 332542723050 336165192800 339609508300 340367257710 342888496656 354712237920 357175517350 359586538200 363058408224 365579647170 366778268964 378185841900 379425795480 385749558738 389951623648 399051267660 404534855475 407531409960 409720566600 414323600126 421584217200 428610620820 431503845840 438695576604 443390297400 446383288800 453823010280 458472836205 469472079600 474282244350 479448717600 487439529560 489037691952 498814084575 504247789200 505901060640 509414262450 514332744984 517804615008 532068356880 535763276025 539379807300 543375213280 544587612336 546294088800 548369470755 550167403446 550415541600 567278762850 571480827760 578624338107 584927435472 591187063200 605097347040 609299411950 611297114940 621485400189 632376325800 638482028256 642915931230 647255768760 658043364906 665085446100 679219016600 680734515420 685776993312 714351034700 719173076400 731159294340 733556537928 756371683800 758851590960 764121393675 771499117476 798102535320 809069710950 815062819920 819441133200 828647200252 843168434400 850918144275 857221241640 863007691680 877391153208 886780594800 907646020560 913949117925 916945672410 938944159200 948564488700 964373896845 974879059120 978075383904 987065047359 997628169150 1008495578400 1018828524900 1028665489968 1035809000315 1064136713760 1071526552050 1078759614600 1089175224672 1096738941510 1100334806892 1134557525700 1142961655520 1157248676214 1169854870944 1218598823900 1222594229880 1242970800378 1264752651600 1285831862460 1294511537520 1316086729812 1330170892200 1358438033200 1361469030840 1375418508615 1428702069400 1438346152800 1462318588680 1467113075856 1512743367600 1517703181920 1528242787350 1542998234952 1596205070640 1607289828075 1618139421900 1630125639840 1638882266400 1645108412265 1657294400504 1701836288550 1714442483280 1754782306416 1773561189600 1815292041120 1827898235850 1833891344820 1864456200567 1897128977400 1928747793690 1949758118240 1974130094718 1995256338300 2037657049800 2057330979936 2071618000630 2143053104100 2157519229200 2193477883020 2200669613784 2269115051400 2292364181025 2314497352428 2437197647800 2445188459760 2485941600756 2529505303200 2571663724920 2589023075040 2632173459624 2660341784400 2716876066400 2722938061680 2741847353775 2750837017230 2857404138800 2893121690535 2924637177360 2934226151712 3025486735200 3056485574700 3085996469904 3107427000945 3192410141280 3214579656150 3236278843800 3290216824530 3314588801008 3403672577100 3428884966560 3509564612832 3655796471700 3667782689640 3728912401134 3794257954800 3857495587380 3948260189436 3990512676600 4075314099600 4143236001260 4286106208200 4315038458400 4386955766040 4401339227568 4538230102800 4584728362050 4628994704856 4821869484225 4874395295600 4890376919520 4935325236795 4971883201512 5143327449840 5179045001575 5264346919248 5320683568800 5445876123360 5483694707550 5501674034460 5593368601701 5714808277600 5786243381070 5849274354720 6112971149400 6171992939808 6214854001890 6429159312300 6472557687600 6580433649060 6629177602016 6807345154200 6877092543075 7311592943400 7335565379280 7457824802268 7588515909600 7714991174760 7896520378872 7981025353200 8150628199200 8225542061325 8286472002520 8572212416400 8773911532080 8802678455136 9076460205600 9169456724100 9257989409712 9322281002835 9643738968450 9748790591200 9870650473590 9943766403024 10286654899680 10358090003150 10528693838496 10967389415100 11003348068920 11186737203402 11572486762140 12225942298800 12429708003780 12858318624600 12945115375200 13160867298120 13614690308400 13754185086150 14465608452675 14623185886800 14671130758560 14915649604536 15429982349520 15537135004725 15793040757744 15962050706400 16451084122650 16572944005040 16780105805103 17144424832800 17547823064160 18338913448200 18515978819424 18644562005670 19287477936900 19741300947180 19887532806048 20716180006300 21934778830200 22006696137840 22373474406804 23144973524280 24451884597600 24676626183975 24859416007560 25716637249200 26321734596240 27229380616800 27508370172300 27966843008505 28931216905350 29246371773600 29831299209072 30859964699040 31074270009450 31586081515488 32902168245300 33145888010080 33560211610206 36677826896400 37289124011340 38574955873800 39482601894360 41432360012600 43869557660400 44013392275680 44746948813608 46289947048560 46611405014175 49353252367950 49718832015120 51433274498400 52643469192480 55016740344600 55933686017010 57862433810700 59662598418144 62148540018900 65804336490600 67120423220412 73355653792800 74578248022680 77149911747600 78965203788720 82864720025200 83900529025515 87739115320800 89493897627216 92579894097120 93222810028350 98706504735900 99437664030240 110033480689200 111867372034020 115724867621400 124297080037800 131608672981200 134240846440824 139834215042525 149156496045360 154299823495200 157930407577440 165729440050400 167801058051030 178987795254432 186445620056700 197413009471800 220066961378400 223734744068040 231449735242800 248594160075600 263217345962400 268481692881648 279668430085050 298312992090720 335602116102060 372891240113400 394826018943600 419502645127575 447469488136080 462899470485600 497188320151200 536963385763296 559336860170100 671204232204120 745782480226800 789652037887200 839005290255150 894938976272160 1118673720340200 1342408464408240 1491564960453600 1678010580510300 2237347440680400 2684816928816480 3356021161020600 4474694881360800 6712042322041200 13424084644082400
- Sum of all divisors σ(n): 54572656886415360
- Sum of proper divisors (its aliquot sum) s(n): 41148572242332960
- 13424084644082400 is an abundant number, because the sum of its proper divisors (41148572242332960) is greater than itself. Its abundance is 27724487598250560
Bases of 13424084644082400
- Binary: 1011111011000100100010010001001010010100110010111000002
- Hexadecimal: 0x2FB12244A532E0
- Base-36: 3O6FVCLHQ00
Squares and roots of 13424084644082400
- 13424084644082400 squared (134240846440824002) is 180206048531488895885337989760000
- 13424084644082400 cubed (134240846440824003) is 2419101248862327816109875178107997095796224000000
-
The
square root of 13424084644082400 is 115862352.1428872081 -
The
cube root of 13424084644082400 is 237662.9921988653
Scales and comparisons
How big is 13424084644082400?- 13,424,084,644,082,400 seconds is equal to 426,844,368 years, 13 weeks, 4 days, 6 hours.
-
To count from 1 to 13,424,084,644,082,400 would take you about one billion, two hundred eighty million, five hundred thirty-three thousand, one hundred four 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 13424084644082400 cubic inches would be around 19805.2 feet tall.
Recreational maths with 13424084644082400
- 13424084644082400 backwards is 00428044648042431
- 13424084644082400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13424084644082400's digits is 54
- More coming soon!
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"Number 13424084644082400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 13424084644082400 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/13424084644082400/
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The information we have on file for 13424084644082400 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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