13801227442462720
13,801,227,442,462,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 13801227442462720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
13801227442462720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13801227442462720:
213 × 5 × 132 × 17 × 29 × 20112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 17 × 29 × 2011 × 2011)See below for interesting mathematical facts about the number 13801227442462720 from the Numbermatics database.
Names of 13801227442462720
- Cardinal: 13801227442462720 can be written as Thirteen quadrillion, eight hundred one trillion, two hundred twenty-seven billion, four hundred forty-two million, four hundred sixty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.380122744246272 × 1016
Factors of 13801227442462720
Divisors of 13801227442462720
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 29 32 34 40 52 58 64 65 68 80 85 104 116 128 130 136 145 160 169 170 208 221 232 256 260 272 290 320 338 340 377 416 442 464 493 512 520 544 580 640 676 680 754 832 845 884 928 986 1024 1040 1088 1105 1160 1280 1352 1360 1508 1664 1690 1768 1856 1885 1972 2011 2048 2080 2176 2210 2320 2465 2560 2704 2720 2873 3016 3328 3380 3536 3712 3770 3944 4022 4096 4160 4352 4420 4640 4901 4930 5120 5408 5440 5746 6032 6409 6656 6760 7072 7424 7540 7888 8044 8192 8320 8704 8840 9280 9802 9860 10055 10240 10816 10880 11492 12064 12818 13312 13520 14144 14365 14848 15080 15776 16088 16640 17408 17680 18560 19604 19720 20110 20480 21632 21760 22984 24128 24505 25636 26143 26624 27040 28288 28730 29696 30160 31552 32045 32176 33280 34187 34816 35360 37120 39208 39440 40220 40960 43264 43520 45968 48256 49010 51272 52286 53248 54080 56576 57460 58319 59392 60320 63104 64090 64352 66560 68374 69632 70720 74240 78416 78880 80440 83317 86528 87040 91936 96512 98020 102544 104572 106496 108160 113152 114920 116638 118784 120640 126208 128180 128704 130715 133120 136748 139264 141440 148480 156832 157760 160880 166634 170935 173056 174080 183872 193024 196040 205088 209144 216320 226304 229840 233276 237568 241280 252416 256360 257408 261430 266240 273496 282880 291595 296960 313664 315520 321760 333268 339859 341870 346112 348160 367744 386048 392080 410176 416585 418288 432640 444431 452608 459680 466552 482560 504832 512720 514816 522860 532480 546992 565760 583190 593920 627328 631040 643520 666536 679718 683740 692224 696320 735488 758147 772096 784160 820352 833170 836576 865280 888862 905216 919360 933104 965120 991423 1009664 1025440 1029632 1045720 1093984 1131520 1166380 1187840 1254656 1262080 1287040 1333072 1359436 1367480 1384448 1470976 1516294 1544192 1568320 1640704 1666340 1673152 1699295 1730560 1777724 1810432 1838720 1866208 1930240 1982846 2019328 2050880 2059264 2091440 2187968 2222155 2263040 2332760 2509312 2524160 2574080 2666144 2718872 2734960 2941952 3032588 3088384 3136640 3281408 3332680 3346304 3398590 3461120 3555448 3677440 3732416 3790735 3860480 3965692 4038656 4044121 4101760 4118528 4182880 4375936 4444310 4526080 4665520 4957115 5018624 5048320 5148160 5332288 5437744 5469920 5777603 5883904 6065176 6273280 6562816 6665360 6692608 6797180 6922240 7110896 7354880 7464832 7581470 7720960 7931384 8088242 8203520 8237056 8365760 8751872 8888620 9052160 9331040 9855911 9914230 10037248 10096640 10296320 10664576 10875488 10939840 11555206 11767808 12130352 12546560 12888499 13125632 13330720 13385216 13594360 14221792 14709760 14929664 15162940 15441920 15862768 16176484 16407040 16474112 16731520 17503744 17777240 18662080 19711822 19828460 20074496 20193280 20220605 20592640 21329152 21750976 21879680 23110412 23535616 24260704 25093120 25776998 26251264 26661440 26770432 27188720 28443584 28888015 29419520 29859328 30325880 31725536 32352968 32814080 33463040 35007488 35554480 37324160 39423644 39656920 40148992 40441210 41185280 42658304 43501952 43759360 46220824 48521408 49279555 50186240 51553996 52502528 52573573 53322880 53540864 54377440 56887168 57776030 58839040 59718656 60651760 63451072 64442495 64705936 65628160 66926080 68750057 70014976 71108960 74648320 78847288 79313840 80882420 82370560 85316608 87003904 87518720 92441648 97042816 98559110 100372480 103107992 105147146 106645760 107081728 108754880 113774336 115552060 117279509 117678080 119437312 121303520 126902144 128884990 129411872 131256320 133852160 137500114 140029952 142217920 149296640 157694576 158627680 161764840 167550487 170633216 174007808 175037440 184883296 194085632 197118220 200744960 206215984 210294292 213291520 214163456 217509760 227548672 231104120 234559018 238874624 242607040 253804288 257769980 258823744 262512640 262867865 267704320 275000228 280059904 284435840 298593280 315389152 317255360 323529680 335100974 341266432 343750285 348015616 350074880 369766592 388171264 394236440 412431968 420588584 426583040 435019520 455097344 462208240 469118036 477749248 485214080 507608576 515539960 517647488 525735730 535408640 550000456 568871680 586397545 597186560 630778304 634510720 647059360 670201948 682532864 683456449 687500570 696031232 700149760 739533184 776342528 788472880 824863936 837752435 841177168 853166080 870039040 893750741 910194688 924416480 938236072 970428160 1015217152 1031079920 1035294976 1051471460 1070817280 1100000912 1137743360 1172795090 1194373120 1261556608 1269021440 1294118720 1340403896 1366912898 1375001140 1392062464 1400299520 1479066368 1524633617 1552685056 1576945760 1649727872 1675504870 1682354336 1706332160 1740078080 1787501482 1820389376 1848832960 1876472144 1940856320 1993751653 2030434304 2062159840 2070589952 2102942920 2200001824 2275486720 2345590180 2388746240 2523113216 2538042880 2588237440 2680807792 2733825796 2750002280 2784124928 2958132736 3049267234 3105370112 3153891520 3299455744 3351009740 3364708672 3412664320 3417282245 3480156160 3575002964 3640778752 3697665920 3752944288 3881712640 3987503306 4060868608 4124319680 4141179904 4205885840 4400003648 4468753705 4550973440 4691180360 5046226432 5076085760 5176474880 5361615584 5467651592 5500004560 5916265472 6098534468 6210740224 6307783040 6598911488 6702019480 6729417344 6834564490 6960312320 7150005928 7395331840 7505888576 7623168085 7763425280 7975006612 8121737216 8248639360 8282359808 8411771680 8800007296 8937507410 9101946880 9382360720 9968758265 10092452864 10152171520 10352949760 10723231168 10935303184 11000009120 11618759633 11832530944 12197068936 12615566080 13197822976 13404038960 13458834688 13669128980 13920624640 14300011856 14790663680 15011777152 15246336170 15526850560 15950013224 16497278720 16564719616 16823543360 17600014592 17875014820 18203893760 18764721440 19820237021 19937516530 20184905728 20304343040 20705899520 21446462336 21870606368 22000018240 23237519266 23665061888 24394137872 25231132160 25918771489 26395645952 26808077920 26917669376 27338257960 28600023712 29581327360 30023554304 30492672340 31053701120 31900026448 32994557440 33129439232 33647086720 35200029184 35750029640 37529442880 39640474042 39875033060 40369811456 40608686080 41411799040 42892924672 43741212736 44000036480 46475038532 47330123776 48788275744 50462264320 51837542978 52791291904 53616155840 53835338752 54676515920 57200047424 58093798165 59162654720 60047108608 60985344680 63800052896 65989114880 67294173440 70400058368 71500059280 75058885760 79280948084 79750066120 80739622912 82823598080 85785849344 87482425472 88000072960 92950077064 97576551488 99101185105 100924528640 103675085956 105582583808 107232311680 107670677504 109353031840 114400094848 116187596330 118325309440 120094217216 121970689360 127600105792 129593857445 131978229760 134588346880 140800116736 143000118560 150117771520 158561896168 159500132240 165647196160 171571698688 174964850944 176000145920 185900154128 195153102976 198202370210 201849057280 207350171912 214464623360 215341355008 218706063680 228800189696 232375192660 236650618880 240188434432 243941378720 255200211584 259187714890 263956459520 269176693760 281600233472 286000237120 300235543040 317123792336 319000264480 336944029357 343143397376 349929701888 352000291840 371800308256 390306205952 396404740420 403698114560 414700343824 428929246720 430682710016 437412127360 457600379392 464750385320 480376868864 487882757440 510400423168 518375429780 527912919040 538353387520 563200466944 572000474240 600471086080 634247584672 638000528960 673888058714 686286794752 699859403776 704000583680 743600616512 780612411904 792809480840 829400687648 857858493440 874824254720 915200758784 929500770640 960753737728 975765514880 1020800846336 1036750859560 1076706775040 1144000948480 1200942172160 1268495169344 1276001057920 1347776117428 1372573589504 1399718807552 1408001167360 1487201233024 1561224823808 1585618961680 1658801375296 1684720146785 1715716986880 1749648509440 1830401517568 1859001541280 1951531029760 2041601692672 2073501719120 2153413550080 2288001896960 2401884344320 2536990338688 2552002115840 2695552234856 2799437615104 2816002334720 2974402466048 3122449647616 3171237923360 3317602750592 3369440293570 3431433973760 3499297018880 3660803035136 3718003082560 3903062059520 4083203385344 4147003438240 4576003793920 4803768688640 5073980677376 5104004231680 5391104469712 5598875230208 5948804932096 6244899295232 6342475846720 6635205501184 6738880587140 6862867947520 6998594037760 7321606070272 7436006165120 7806124119040 8166406770688 8294006876480 9152007587840 10147961354752 10208008463360 10782208939424 11897609864192 12489798590464 12684951693440 13270411002368 13477761174280 13997188075520 14872012330240 15612248238080 16332813541376 16588013752960 18304015175680 20295922709504 20416016926720 21564417878848 23795219728384 25369903386880 26540822004736 26955522348560 27994376151040 29744024660480 31224496476160 33176027505920 36608030351360 40591845419008 40832033853440 43128835757696 47590439456768 50739806773760 53081644009472 53911044697120 59488049320960 62448992952320 66352055011840 81183690838016 81664067706880 86257671515392 95180878913536 101479613547520 106163288018944 107822089394240 118976098641920 132704110023680 162367381676032 172515343030784 202959227095040 212326576037888 215644178788480 237952197283840 265408220047360 345030686061568 405918454190080 431288357576960 475904394567680 530816440094720 690061372123136 811836908380160 862576715153920 1061632880189440 1380122744246272 1725153430307840 2760245488492544 3450306860615680 6900613721231360 13801227442462720
- Sum of all divisors σ(n): 39303360561071880
- Sum of proper divisors (its aliquot sum) s(n): 25502133118609160
- 13801227442462720 is an abundant number, because the sum of its proper divisors (25502133118609160) is greater than itself. Its abundance is 11700905676146440
Bases of 13801227442462720
- Binary: 1100010000100000100100101010110010110000100000000000002
- Hexadecimal: 0x310824AB2C2000
- Base-36: 3RW4KCY3XTS
Squares and roots of 13801227442462720
- 13801227442462720 squared (138012274424627202) is 190473878918586071288138589798400
- 13801227442462720 cubed (138012274424627203) is 2628773324803511444154034741531306815964315648000
-
The
square root of 13801227442462720 is 117478625.4706051623 -
The
cube root of 13801227442462720 is 239868.1419354159
Scales and comparisons
How big is 13801227442462720?- 13,801,227,442,462,720 seconds is equal to 438,836,342 years, 34 weeks, 6 days, 4 hours, 58 minutes, 40 seconds.
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To count from 1 to 13,801,227,442,462,720 would take you about one billion, three hundred sixteen million, five hundred nine thousand and twenty-eight 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 13801227442462720 cubic inches would be around 19989 feet tall.
Recreational maths with 13801227442462720
- 13801227442462720 backwards is 02726424472210831
- The number of decimal digits it has is: 17
- The sum of 13801227442462720's digits is 55
- More coming soon!
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The information we have on file for 13801227442462720 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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