13442899427729408
13,442,899,427,729,408 is an even composite number composed of four prime numbers multiplied together.
What does the number 13442899427729408 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 630 divisors.
13442899427729408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 13442899427729408:
213 × 74 × 132 × 20112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 13 × 13 × 2011 × 2011)See below for interesting mathematical facts about the number 13442899427729408 from the Numbermatics database.
Names of 13442899427729408
- Cardinal: 13442899427729408 can be written as Thirteen quadrillion, four hundred forty-two trillion, eight hundred ninety-nine billion, four hundred twenty-seven million, seven hundred twenty-nine thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.3442899427729408 × 1016
Factors of 13442899427729408
Divisors of 13442899427729408
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 343 364 392 416 448 512 637 676 686 728 784 832 896 1024 1183 1274 1352 1372 1456 1568 1664 1792 2011 2048 2366 2401 2548 2704 2744 2912 3136 3328 3584 4022 4096 4459 4732 4802 5096 5408 5488 5824 6272 6656 7168 8044 8192 8281 8918 9464 9604 10192 10816 10976 11648 12544 13312 14077 14336 16088 16562 17836 18928 19208 20384 21632 21952 23296 25088 26143 26624 28154 28672 31213 32176 33124 35672 37856 38416 40768 43264 43904 46592 50176 52286 53248 56308 57344 57967 62426 64352 66248 71344 75712 76832 81536 86528 87808 93184 98539 100352 104572 106496 112616 115934 124852 128704 132496 142688 151424 153664 163072 173056 175616 183001 186368 197078 200704 209144 225232 231868 249704 257408 264992 285376 302848 307328 326144 339859 346112 351232 366002 372736 394156 401408 405769 418288 450464 463736 499408 514816 529984 570752 605696 614656 652288 679718 689773 692224 702464 732004 745472 788312 811538 836576 900928 927472 998816 1029632 1059968 1141504 1211392 1229312 1281007 1304576 1359436 1379546 1384448 1404928 1464008 1576624 1623076 1673152 1801856 1854944 1997632 2059264 2119936 2283008 2379013 2422784 2458624 2562014 2609152 2718872 2759092 2809856 2928016 3153248 3246152 3346304 3603712 3709888 3995264 4044121 4118528 4239872 4566016 4758026 4828411 4845568 4917248 5124028 5218304 5437744 5518184 5856032 6306496 6492304 6692608 7207424 7419776 7990528 8088242 8237056 8479744 8967049 9132032 9516052 9656822 9691136 9834496 10248056 10875488 11036368 11712064 12612992 12984608 13385216 14414848 14839552 15981056 16176484 16474112 16653091 16959488 17934098 18264064 19032104 19313644 19668992 20496112 21750976 22072736 23424128 25225984 25969216 26770432 28308847 28829696 29679104 31962112 32352968 33306182 33918976 35868196 36528128 38064208 38627288 40992224 43501952 44145472 46848256 50451968 51938432 52573573 53540864 56617694 57659392 59358208 62769343 63924224 64705936 66612364 67837952 71736392 76128416 77254576 81984448 87003904 88290944 93696512 100903936 103876864 105147146 107081728 113235388 115318784 116571637 118716416 125538686 127848448 129411872 133224728 143472784 152256832 154509152 163968896 174007808 176581888 187393024 198161929 201807872 207753728 210294292 214163456 226470776 233143274 237432832 251077372 255696896 258823744 266449456 286945568 304513664 309018304 327937792 348015616 353163776 368015011 374786048 396323858 403615744 415507456 420588584 452941552 466286548 474865664 502154744 517647488 532898912 573891136 609027328 618036608 655875584 683456449 696031232 706327552 736030022 749572096 792647716 807231488 816001459 831014912 841177168 905883104 932573096 1004309488 1035294976 1065797824 1147782272 1218054656 1236073216 1311751168 1366912898 1387133503 1392062464 1412655104 1472060044 1499144192 1585295432 1632002918 1662029824 1682354336 1811766208 1865146192 2008618976 2070589952 2131595648 2295564544 2436109312 2472146432 2576105077 2623502336 2733825796 2774267006 2784124928 2825310208 2944120088 3170590864 3264005836 3324059648 3364708672 3623532416 3730292384 4017237952 4141179904 4263191296 4591129088 4784195143 4872218624 4944292864 5152210154 5247004672 5467651592 5548534012 5650620416 5888240176 6341181728 6528011672 6729417344 7247064832 7460584768 8034475904 8282359808 8526382592 9182258176 9568390286 9709934521 9744437248 9888585728 10304420308 10494009344 10935303184 11097068024 11776480352 12682363456 13056023344 13458834688 14494129664 14921169536 16068951808 16564719616 17052765184 18032735539 18364516352 19136780572 19419869042 19488874496 19777171456 20608840616 21870606368 22194136048 23552960704 25364726912 26112046688 26917669376 28988259328 29842339072 32137903616 33129439232 33489366001 34105530368 36065471078 36729032704 38273561144 38839738084 39554342912 41217681232 43741212736 44388272096 47105921408 50729453824 52224093376 53835338752 57976518656 59684678144 64275807232 66978732002 68211060736 72130942156 73458065408 76547122288 77679476168 82435362464 87482425472 88776544192 94211842816 101458907648 104448186752 107670677504 115953037312 119369356288 126229148773 128551614464 133957464004 136422121472 144261884312 153094244576 155358952336 164870724928 174964850944 177553088384 188423685632 202917815296 208896373504 215341355008 231906074624 234425562007 238738712576 252458297546 257103228928 267914928008 288523768624 306188489152 310717904672 329741449856 349929701888 355106176768 376847371264 405835630592 417792747008 430682710016 468851124014 477477425152 504916595092 514206457856 535829856016 577047537248 612376978304 621435809344 659482899712 699859403776 710212353536 753694742528 811671261184 835585494016 937702248028 954954850304 1009833190184 1071659712032 1154095074496 1224753956608 1242871618688 1318965799424 1399718807552 1420424707072 1507389485056 1623342522368 1640978934049 1671170988032 1875404496056 2019666380368 2143319424064 2308190148992 2449507913216 2485743237376 2637931598848 2799437615104 2840849414144 3014778970112 3281957868098 3342341976064 3750808992112 4039332760736 4286638848128 4616380297984 4899015826432 4971486474752 5275863197696 5598875230208 5681698828288 6563915736196 6684683952128 7501617984224 8078665521472 8573277696256 9232760595968 9798031652864 9942972949504 10551726395392 11363397656576 13127831472392 15003235968448 16157331042944 17146555392512 18465521191936 19596063305728 19885945899008 21103452790784 26255662944784 30006471936896 32314662085888 34293110785024 36931042383872 39192126611456 39771891798016 52511325889568 60012943873792 64629324171776 68586221570048 73862084767744 79543783596032 105022651779136 120025887747584 129258648343552 137172443140096 147724169535488 210045303558272 240051775495168 258517296687104 274344886280192 420090607116544 480103550990336 517034593374208 840181214233088 960207101980672 1034069186748416 1680362428466176 1920414203961344 3360724856932352 6721449713864704 13442899427729408
- Sum of all divisors σ(n): 33977997818383437
- Sum of proper divisors (its aliquot sum) s(n): 20535098390654029
- 13442899427729408 is an abundant number, because the sum of its proper divisors (20535098390654029) is greater than itself. Its abundance is 7092198962924621
Bases of 13442899427729408
- Binary: 1011111100001000111110111011010010010000100000000000002
- Hexadecimal: 0x2FC23EED242000
- Base-36: 3OD3YQPW4JK
Squares and roots of 13442899427729408
- 13442899427729408 squared (134428994277294082) is 180711545024047645100030468030464
- 13442899427729408 cubed (134428994277294083) is 2429287125187867236168799481086389347769292685312
-
The
square root of 13442899427729408 is 115943518.2652717677 -
The
cube root of 13442899427729408 is 237773.9740757809
Scales and comparisons
How big is 13442899427729408?- 13,442,899,427,729,408 seconds is equal to 427,442,620 years, 9 weeks, 3 days, 20 hours, 50 minutes, 8 seconds.
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To count from 1 to 13,442,899,427,729,408 would take you about one billion, two hundred eighty-two million, three hundred twenty-seven thousand, eight hundred sixty 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 13442899427729408 cubic inches would be around 19814.5 feet tall.
Recreational maths with 13442899427729408
- 13442899427729408 backwards is 80492772499824431
- The number of decimal digits it has is: 17
- The sum of 13442899427729408's digits is 83
- More coming soon!
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