13378435404818106480
13,378,435,404,818,106,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 13378435404818106480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
13378435404818106480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13378435404818106480:
24 × 3 × 5 × 112 × 136 × 4573
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 457 × 457 × 457)See below for interesting mathematical facts about the number 13378435404818106480 from the Numbermatics database.
Names of 13378435404818106480
- Cardinal: 13378435404818106480 can be written as Thirteen quintillion, three hundred seventy-eight quadrillion, four hundred thirty-five trillion, four hundred four billion, eight hundred eighteen million, one hundred six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.337843540481810648 × 1019
Factors of 13378435404818106480
Divisors of 13378435404818106480
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 121 130 132 143 156 165 169 176 195 208 220 240 242 260 264 286 312 330 338 363 390 429 440 457 484 507 520 528 572 605 624 660 676 715 726 780 845 858 880 914 968 1014 1040 1144 1210 1320 1352 1371 1430 1452 1560 1573 1690 1716 1815 1828 1859 1936 2028 2145 2197 2285 2288 2420 2535 2640 2704 2742 2860 2904 3120 3146 3380 3432 3630 3656 3718 4056 4290 4394 4570 4719 4840 5027 5070 5484 5577 5720 5808 5941 6292 6591 6760 6855 6864 7260 7312 7436 7865 8112 8580 8788 9140 9295 9438 9680 10054 10140 10968 10985 11154 11440 11882 12584 13182 13520 13710 14520 14872 15081 15730 17160 17576 17823 18280 18590 18876 20108 20280 20449 21936 21970 22308 23595 23764 24167 25135 25168 26364 27420 27885 28561 29040 29705 29744 30162 31460 32955 34320 35152 35646 36560 37180 37752 40216 40560 40898 43940 44616 47190 47528 48334 50270 52728 54840 55297 55770 57122 59410 60324 61347 62920 65351 65910 71292 72501 74360 75405 75504 77233 80432 81796 85683 87880 89115 89232 94380 95056 96668 100540 102245 105456 109680 110594 111540 114244 118820 120648 120835 122694 125840 130702 131820 142584 142805 145002 148720 150810 154466 163592 165891 171366 175760 178230 188760 193336 196053 201080 204490 208849 221188 223080 228488 231699 237640 241296 241670 245388 261404 263640 265837 276485 285168 285610 290004 301620 306735 308932 314171 326755 327184 331782 342732 356460 362505 371293 377520 386165 386672 392106 402160 408980 417698 428415 442376 446160 456976 463398 475280 483340 490776 522808 527280 531674 552970 571220 580008 603240 613470 617864 626547 628342 653510 663564 685464 712920 718861 725010 742586 772330 784212 797511 817960 829455 835396 849563 856830 884752 926796 942513 966680 980265 981552 1004029 1044245 1045616 1063348 1105940 1113879 1142440 1158495 1160016 1206480 1226940 1235728 1253094 1256684 1307020 1327128 1329185 1370928 1425840 1437722 1450020 1485172 1544660 1568424 1570855 1595022 1635920 1658910 1670792 1699126 1713660 1853592 1856465 1885026 1933360 1960530 2008058 2088490 2126696 2156583 2211880 2227758 2284880 2297339 2316990 2453880 2506188 2513368 2548689 2614040 2654256 2658370 2715037 2875444 2900040 2970344 3012087 3089320 3132735 3136848 3141710 3190044 3317820 3341584 3398252 3427320 3455881 3594305 3707184 3712930 3770052 3921060 3987555 4016116 4084223 4176980 4247815 4253392 4313166 4423760 4455516 4594678 4633980 4712565 4826809 4907760 5012376 5020145 5026736 5097378 5228080 5316740 5430074 5569395 5750888 5800080 5940688 6024174 6178640 6265470 6283420 6380088 6635640 6796504 6854640 6892017 6911762 7188610 7425860 7540104 7842120 7975110 8032232 8145111 8168446 8353960 8495630 8626332 8911032 9189356 9267960 9345193 9425130 9653618 10024752 10040290 10194756 10367643 10633480 10782915 10860148 11044319 11138790 11486695 11501776 12048348 12252669 12530940 12566840 12743445 12760176 13052377 13271280 13575185 13593008 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179914408348818 184527598306480 187656895651940 202980358137128 204716613438480 212626118957694 218078070725840 221776331225020 225188274782328 234208105542840 239885877798424 241937815881840 243953964347522 253725447671410 266131597470024 276791397459720 281485343477910 283501491943592 299857347248030 304470537205692 327117106088760 329843081972833 332664496837530 354376864929490 359828816697636 365930946521283 375313791303880 380588171507115 389814551422439 405960716274256 425252237915388 443552662450040 449786020872045 450376549564656 460689924408337 468416211085680 479771755596848 487907928695044 507450895342820 531565297394235 532263194940048 553582794919440 562970686955820 567002983887184 599714694496060 608941074411384 609884910868805 654234212177520 659686163945666 665328993675060 708753729858980 719657633395272 731861893042566 750627582607760 761176343014230 779629102844878 850504475830776 887105324900080 899572041744090 921379848816674 975815857390088 989529245918499 1014901790685640 1063130594788470 1125941373911640 1169443654267317 1199429388992120 1217882148822768 1219769821737610 1319372327891332 1330657987350120 1382069773225011 1417507459717960 1439315266790544 1463723786085132 1522352686028460 1559258205689756 1649215409864165 1701008951661552 1799144083488180 1829654732606415 1842759697633348 1949072757112195 1951631714780176 1979058491836998 2029803581371280 2126261189576940 2251882747823280 2303449622041685 2338887308534634 2398858777984240 2439539643475220 2638744655782664 2661315974700240 2764139546450022 2835014919435920 2927447572170264 3044705372056920 3118516411379512 3298430819728330 3598288166976360 3659309465212830 3685519395266696 3898145514224390 3958116983673996 4252522379153880 4287960065646829 4606899244083370 4677774617069268 4879079286950440 4947646229592495 5067589168491707 5277489311565328 5528279092900044 5847218271336585 5854895144340528 6089410744113840 6237032822759024 6596861639456660 6910348866125055 7196576333952720 7318618930425660 7371038790533392 7796291028448780 7916233967347992 8505044758307760 8575920131293658 9213798488166740 9355549234138536 9758158573900880 9895292459184990 10135178336983414 11056558185800088 11694436542673170 12863880196940487 13193723278913320 13820697732250110 14637237860851320 15202767505475121 15592582056897560 15832467934695984 17151840262587316 18427596976333480 18711098468277072 19790584918369980 20270356673966828 21439800328234145 22113116371600176 23388873085346340 25337945842458535 25727760393880974 26387446557826640 27641395464500220 29274475721702640 30405535010950242 31185164113795120 34303680525174632 36855193952666960 39581169836739960 40540713347933656 42879600656468290 46777746170692680 50675891684917070 51455520787761948 55282790929000440 55743480853408777 60811070021900484 64319400984702435 68607361050349264 76013837527375605 79162339673479920 81081426695867312 85759201312936580 93555492341385360 101351783369834140 102911041575523896 110565581858000880 111486961706817554 121622140043800968 128638801969404870 152027675054751210 167230442560226331 171518402625873160 202703566739668280 205822083151047792 222973923413635108 243244280087601936 257277603938809740 278717404267043885 304055350109502420 334460885120452662 343036805251746320 405407133479336560 445947846827270216 514555207877619480 557434808534087770 608110700219004840 668921770240905324 836152212801131655 891895693654540432 1029110415755238960 1114869617068175540 1216221400438009680 1337843540481810648 1672304425602263310 2229739234136351080 2675687080963621296 3344608851204526620 4459478468272702160 6689217702409053240 13378435404818106480
- Sum of all divisors σ(n): 49493338249896088800
- Sum of proper divisors (its aliquot sum) s(n): 36114902845077982320
- 13378435404818106480 is an abundant number, because the sum of its proper divisors (36114902845077982320) is greater than itself. Its abundance is 22736467440259875840
Bases of 13378435404818106480
- Binary: 10111001101010011100000000011110011000101011000101001000011100002
- Hexadecimal: 0xB9A9C01E62B14870
- Base-36: 2TN5FJUWMR52O
Squares and roots of 13378435404818106480
- 13378435404818106480 squared (133784354048181064802) is 178982533880890612609216934052617990400
- 13378435404818106480 cubed (133784354048181064803) is 2394506268116163261557172805592647803128871560510817792000
-
The
square root of 13378435404818106480 is 3657654358.3037075265 -
The
cube root of 13378435404818106480 is 2373932.9148220205
Scales and comparisons
How big is 13378435404818106480?- 13,378,435,404,818,106,480 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,378,435,404,818,106,480 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13378435404818106480 cubic inches would be around 197827.7 feet tall.
Recreational maths with 13378435404818106480
- 13378435404818106480 backwards is 08460181840453487331
- 13378435404818106480 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13378435404818106480's digits is 78
- More coming soon!
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The information we have on file for 13378435404818106480 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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