13138642314723328
13,138,642,314,723,328 is an even composite number composed of five prime numbers multiplied together.
What does the number 13138642314723328 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
13138642314723328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13138642314723328:
226 × 13 × 172 × 31 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 17 × 31 × 41 × 41)See below for interesting mathematical facts about the number 13138642314723328 from the Numbermatics database.
Names of 13138642314723328
- Cardinal: 13138642314723328 can be written as Thirteen quadrillion, one hundred thirty-eight trillion, six hundred forty-two billion, three hundred fourteen million, seven hundred twenty-three thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3138642314723328 × 1016
Factors of 13138642314723328
Divisors of 13138642314723328
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 13 16 17 26 31 32 34 41 52 62 64 68 82 104 124 128 136 164 208 221 248 256 272 289 328 403 416 442 496 512 527 533 544 578 656 697 806 832 884 992 1024 1054 1066 1088 1156 1271 1312 1394 1612 1664 1681 1768 1984 2048 2108 2132 2176 2312 2542 2624 2788 3224 3328 3362 3536 3757 3968 4096 4216 4264 4352 4624 5084 5248 5576 6448 6656 6724 6851 7072 7514 7936 8192 8432 8528 8704 8959 9061 9248 10168 10496 11152 11849 12896 13312 13448 13702 14144 15028 15872 16384 16523 16864 17056 17408 17918 18122 18496 20336 20992 21607 21853 22304 23698 25792 26624 26896 27404 28288 28577 30056 31744 32768 33046 33728 34112 34816 35836 36244 36992 40672 41984 43214 43706 44608 47396 51584 52111 53248 53792 54808 56576 57154 60112 63488 65536 66092 67456 68224 69632 71672 72488 73984 81344 83968 86428 87412 89216 94792 103168 104222 106496 107584 109616 113152 114308 116467 120224 126976 131072 132184 134912 136448 139264 143344 144976 147968 154037 162688 167936 172856 174824 178432 189584 206336 208444 212992 215168 219232 226304 228616 232934 240448 253952 262144 264368 269824 272896 278528 280891 286688 289952 295936 308074 325376 335872 345712 349648 356864 367319 371501 379168 412672 416888 425984 430336 438464 452608 457232 465868 480896 485809 507904 524288 528736 539648 545792 557056 561782 573376 579904 591872 616148 650752 671744 677443 691424 699296 713728 734638 743002 758336 825344 833776 851968 860672 876928 885887 905216 914464 931736 961792 971618 1015808 1048576 1057472 1079296 1091584 1114112 1123564 1146752 1159808 1183744 1232296 1301504 1343488 1354886 1382848 1398592 1427456 1469276 1486004 1516672 1650688 1667552 1703936 1721344 1753856 1771774 1810432 1828928 1863472 1923584 1943236 2031616 2097152 2114944 2158592 2183168 2228224 2247128 2293504 2319616 2367488 2464592 2603008 2686976 2709772 2765696 2797184 2854912 2938552 2972008 3033344 3301376 3335104 3407872 3442688 3507712 3543548 3620864 3657856 3726944 3847168 3886472 4063232 4194304 4229888 4317184 4366336 4456448 4494256 4587008 4639232 4734976 4775147 4929184 5206016 5373952 5419544 5531392 5594368 5709824 5877104 5944016 6066688 6315517 6602752 6670208 6815744 6885376 7015424 7087096 7241728 7315712 7453888 7694336 7772944 8126464 8388608 8459776 8634368 8732672 8912896 8988512 9174016 9278464 9469952 9550294 9858368 10412032 10747904 10839088 11062784 11188736 11419648 11516531 11754208 11888032 12133376 12631034 13205504 13340416 13631488 13770752 14030848 14174192 14483456 14631424 14907776 15060079 15388672 15545888 16252928 16777216 16919552 17268736 17465344 17825792 17977024 18348032 18556928 18939904 19100588 19716736 20824064 21495808 21678176 22125568 22377472 22839296 23033062 23508416 23776064 24266752 25262068 26411008 26680832 27262976 27541504 28061696 28348384 28966912 29262848 29815552 30120158 30777344 31091776 32505856 33554432 33839104 34537472 34930688 35651584 35954048 36696064 37113856 37879808 38201176 39433472 41648128 42991616 43356352 44251136 44754944 45678592 46066124 47016832 47552128 48533504 50524136 52822016 53361664 54525952 55083008 56123392 56696768 57933824 58525696 59631104 60240316 61554688 62183552 65011712 67108864 67678208 69074944 69861376 71303168 71908096 73392128 74227712 75759616 76402352 78866944 83296256 85983232 86712704 88502272 89509888 91357184 92132248 94033664 95104256 97067008 101048272 105644032 106723328 109051904 110166016 112246784 113393536 115867648 117051392 119262208 120480632 123109376 124367104 130023424 135356416 138149888 139722752 142606336 143816192 146784256 148455424 151519232 152804704 157733888 166592512 171966464 173425408 177004544 179019776 182714368 184264496 188067328 190208512 194134016 195781027 202096544 211288064 213446656 218103808 220332032 224493568 226787072 231735296 234102784 238524416 240961264 246218752 248734208 260046848 270712832 276299776 279445504 285212672 287632384 293568512 296910848 303038464 305609408 315467776 333185024 343932928 346850816 354009088 358039552 365428736 368528992 376134656 380417024 388268032 391562054 404193088 422576128 426893312 436207616 440664064 448987136 453574144 463470592 468205568 477048832 481922528 492437504 497468416 520093696 541425664 552599552 558891008 570425344 575264768 587137024 593821696 606076928 611218816 630935552 666370048 687865856 693701632 708018176 716079104 730857472 737057984 752269312 760834048 776536064 783124108 808386176 845152256 853786624 872415232 881328128 897974272 907148288 926941184 936411136 954097664 963845056 984875008 994936832 1040187392 1082851328 1105199104 1117782016 1140850688 1150529536 1174274048 1187643392 1212153856 1222437632 1261871104 1332740096 1375731712 1387403264 1416036352 1432158208 1461714944 1474115968 1504538624 1521668096 1553072128 1566248216 1616772352 1690304512 1707573248 1762656256 1795948544 1814296576 1853882368 1872822272 1908195328 1927690112 1969750016 1989873664 2080374784 2165702656 2210398208 2235564032 2301059072 2348548096 2375286784 2424307712 2444875264 2523742208 2665480192 2751463424 2774806528 2832072704 2864316416 2923429888 2948231936 3009077248 3043336192 3106144256 3132496432 3233544704 3380609024 3415146496 3525312512 3591897088 3628593152 3707764736 3745644544 3816390656 3855380224 3939500032 3979747328 4331405312 4420796416 4471128064 4602118144 4697096192 4750573568 4848615424 4889750528 5047484416 5330960384 5549613056 5664145408 5728632832 5846859776 5896463872 6018154496 6086672384 6212288512 6264992864 6467089408 6761218048 6830292992 7050625024 7183794176 7257186304 7415529472 7491289088 7632781312 7710760448 7879000064 7959494656 8662810624 8841592832 8942256128 9204236288 9394192384 9501147136 9697230848 9779501056 10094968832 10661920768 11099226112 11328290816 11457265664 11693719552 11792927744 12036308992 12173344768 12424577024 12529985728 12934178816 13522436096 13660585984 14101250048 14367588352 14514372608 14831058944 14982578176 15265562624 15421520896 15758000128 15918989312 17325621248 17683185664 17884512256 18408472576 18788384768 19002294272 19394461696 19559002112 20189937664 21323841536 22198452224 22656581632 22914531328 23387439104 23585855488 24072617984 24346689536 24849154048 25059971456 25868357632 27044872192 27321171968 28202500096 28735176704 29028745216 29965156352 30531125248 30843041792 31516000256 31837978624 34651242496 35366371328 35769024512 36816945152 37576769536 38004588544 39118004224 40379875328 42647683072 44396904448 45313163264 45829062656 46774878208 47171710976 48145235968 48693379072 49698308096 50119942912 51736715264 54642343936 56405000192 57470353408 58057490432 59930312704 61062250496 61686083584 63032000512 63675957248 69302484992 73633890304 75153539072 76009177088 78236008448 80759750656 85295366144 88793808896 90626326528 91658125312 94343421952 96290471936 97386758144 99396616192 100239885824 103473430528 109284687872 112810000384 114940706816 116114980864 119860625408 122124500992 123372167168 126064001024 127351914496 138604969984 147267780608 150307078144 152018354176 156472016896 161519501312 177587617792 181252653056 183316250624 188686843904 192580943872 194773516288 198793232384 200479771648 206946861056 218569375744 229881413632 232229961728 239721250816 244249001984 246744334336 252128002048 254703828992 277209939968 294535561216 300614156288 304036708352 312944033792 323039002624 355175235584 362505306112 366632501248 377373687808 385161887744 389547032576 397586464768 400959543296 413893722112 437138751488 459762827264 464459923456 479442501632 488498003968 493488668672 509407657984 554419879936 589071122432 601228312576 608073416704 625888067584 646078005248 710350471168 725010612224 733265002496 754747375616 770323775488 779094065152 795172929536 801919086592 827787444224 874277502976 928919846912 958885003264 976996007936 986977337344 1018815315968 1108839759872 1178142244864 1251776135168 1292156010496 1420700942336 1450021224448 1466530004992 1509494751232 1540647550976 1558188130304 1603838173184 1655574888448 1748555005952 1857839693824 1917770006528 1953992015872 1973954674688 2037630631936 2356284489728 2503552270336 2584312020992 2841401884672 3018989502464 3081295101952 3116376260608 3207676346368 3311149776896 3497110011904 3715679387648 3907984031744 3947909349376 4075261263872 4712568979456 5007104540672 5168624041984 5682803769344 6037979004928 6162590203904 6232752521216 6415352692736 6622299553792 7431358775296 7815968063488 7895818698752 8150522527744 9425137958912 10014209081344 10337248083968 11365607538688 12075958009856 12325180407808 12465505042432 12830705385472 13244599107584 14862717550592 15791637397504 16301045055488 18850275917824 20028418162688 22731215077376 24151916019712 24650360815616 24931010084864 25661410770944 26489198215168 29725435101184 31583274795008 32602090110976 40056836325376 45462430154752 48303832039424 51322821541888 52978396430336 59450870202368 63166549590016 80113672650752 96607664078848 102645643083776 105956792860672 126333099180032 160227345301504 193215328157696 205291286167552 211913585721344 252666198360064 320454690603008 386430656315392 410582572335104 423827171442688 505332396720128 772861312630784 821165144670208 1010664793440256 1642330289340416 3284660578680832 6569321157361664 13138642314723328
- Sum of all divisors σ(n): 31806182505057856
- Sum of proper divisors (its aliquot sum) s(n): 18667540190334528
- 13138642314723328 is an abundant number, because the sum of its proper divisors (18667540190334528) is greater than itself. Its abundance is 5528897875611200
Bases of 13138642314723328
- Binary: 1011101010110110000110100011000000000000000000000000002
- Hexadecimal: 0x2EAD868C000000
- Base-36: 3LD9CYCHSSG
Squares and roots of 13138642314723328
- 13138642314723328 squared (131386423147233282) is 172623921874238370331925187395584
- 13138642314723328 cubed (131386423147233283) is 2268043964470362155126883584133450181089848983552
-
The
square root of 13138642314723328 is 114623916.8529994355 -
The
cube root of 13138642314723328 is 235966.3980379455
Scales and comparisons
How big is 13138642314723328?- 13,138,642,314,723,328 seconds is equal to 417,768,185 years, 6 weeks, 1 day, 8 hours, 55 minutes, 28 seconds.
-
To count from 1 to 13,138,642,314,723,328 would take you about one billion, two hundred fifty-three million, three hundred four thousand, five hundred fifty-five 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 13138642314723328 cubic inches would be around 19663.9 feet tall.
Recreational maths with 13138642314723328
- 13138642314723328 backwards is 82332741324683131
- The number of decimal digits it has is: 17
- The sum of 13138642314723328's digits is 61
- More coming soon!
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The information we have on file for 13138642314723328 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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