13408725491116800

Names of 13408725491116800

• Cardinal: 13408725491116800 can be written as Thirteen quadrillion, four hundred eight trillion, seven hundred twenty-five billion, four hundred ninety-one million, one hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.34087254911168 × 10¹⁶

Factors of 13408725491116800

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 20611

Divisors of 13408725491116800

• Number of divisors d(n): 1728
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 79 80 96 100 104 111 120 128 130 148 150 156 158 160 185 192 195 200 208 222 237 240 256 260 296 300 312 316 320 325 370 384 390 395 400 416 444 474 480 481 520 555 592 600 624 632 640 650 740 768 780 790 800 832 888 925 941 948 960 962 975 1027 1040 1110 1184 1185 1200 1248 1264 1280 1300 1443 1480 1560 1580 1600 1664 1776 1850 1882 1896 1920 1924 1950 1975 2054 2080 2220 2368 2370 2400 2405 2496 2528 2600 2775 2823 2886 2923 2960 3081 3120 3160 3200 3328 3552 3700 3764 3792 3840 3848 3900 3950 4108 4160 4440 4705 4736 4740 4800 4810 4992 5056 5135 5200 5550 5646 5772 5846 5920 5925 6162 6240 6320 6400 7104 7215 7400 7528 7584 7696 7800 7900 8216 8320 8769 8880 9410 9472 9480 9600 9620 9984 10112 10270 10400 11100 11292 11544 11692 11840 11850 12025 12233 12324 12480 12640 14115 14208 14430 14615 14800 15056 15168 15392 15405 15600 15800 16432 16640 17538 17760 18820 18960 19200 19240 19531 20224 20540 20800 22200 22584 23088 23384 23525 23680 23700 24050 24466 24648 24960 25280 25675 28230 28416 28860 29230 29600 30112 30336 30784 30810 31200 31600 32864 34817 35076 35520 36075 36699 37640 37920 37999 38480 39062 41080 41600 43845 44400 45168 46176 46768 47050 47360 47400 48100 48932 49296 49920 50560 51350 56460 57720 58460 58593 59200 60224 60672 61165 61568 61620 62400 63200 65728 69634 70152 70575 71040 72150 73075 73398 74339 75280 75840 75998 76960 77025 78124 82160 83200 87690 88800 90336 92352 93536 94100 94800 96200 97655 97864 98592 101120 102700 104451 112920 113997 115440 116920 117186 118400 120448 122330 123136 123240 124800 126400 131456 139268 140304 141150 142080 144300 146150 146796 148678 150560 151680 151996 153920 154050 156248 164320 174085 175380 177600 180672 183495 184704 187072 188200 189600 189995 192400 195310 195728 197184 205400 208902 219225 223017 225840 227994 230880 233840 234372 236800 240896 244660 246480 249600 252800 253903 262912 278536 280608 282300 288600 292300 292965 293592 297356 301120 303360 303992 305825 307840 308100 312496 328640 348170 350760 355200 361344 366990 369408 371695 374144 376400 379200 379990 384800 390620 391456 394368 410800 417804 438450 446034 451680 452621 455988 461760 467680 468744 488275 489320 492960 505600 507806 522255 557072 561216 564600 569985 577200 584600 585930 587184 594712 602240 607984 611650 615680 616200 624992 657280 696340 701520 710400 722647 722688 733980 743390 748288 752800 758400 759980 761709 769600 781240 782912 788736 821600 835608 870425 876900 892068 903360 905242 911976 917475 923520 935360 937488 949975 966407 976550 978640 985920 1015612 1044510 1114144 1115085 1122432 1129200 1139970 1154400 1169200 1171860 1174368 1189424 1204480 1215968 1223300 1232400 1249984 1269515 1314560 1357863 1392680 1403040 1445294 1464825 1467960 1486780 1505600 1516800 1519960 1523418 1539200 1542949 1562480 1565824 1643200 1671216 1740850 1753800 1784136 1806720 1810484 1823952 1834950 1847040 1858475 1870720 1874976 1899950 1932814 1953100 1957280 1971840 2031224 2089020 2167941 2228288 2230170 2244864 2258400 2263105 2279940 2308800 2338400 2343720 2348736 2378848 2431936 2446600 2464800 2499968 2539030 2611275 2715726 2750543 2785360 2806080 2849925 2890588 2899221 2929650 2935920 2973560 3011200 3039920 3046836 3078400 3085898 3124960 3131648 3286400 3342432 3481700 3507600 3568272 3613235 3613440 3620968 3647904 3669900 3716950 3741440 3749952 3799900 3808545 3865628 3906200 3914560 3943680 4062448 4178040 4335882 4456576 4460340 4516800 4526210 4559880 4617600 4628847 4676800 4687440 4697472 4757696 4832035 4863872 4893200 4929600 4999936 5078060 5222550 5431452 5501086 5570720 5575425 5612160 5699850 5781176 5798442 5859300 5871840 5947120 6022400 6079840 6093672 6171796 6249920 6347575 6572800 6684864 6789315 6963400 7015200 7136544 7226470 7241936 7295808 7339800 7433900 7499904 7599800 7617090 7714745 7731256 7812400 7829120 8124896 8251629 8356080 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32640519696 34000541350 34253467800 34326776640 34845960216 35287048320 35360563004 35623606512 35838408450 36074538240 36297875225 36537032320 37107923450 37749790234 38227635680 38512007040 40800649620 42908470800 43520692928 43557450270 43844438784 44108810400 44200703755 44529508140 45093172800 45671290400 45769035520 45873162816 46461280288 47498142016 47784544600 48140008800 51000812025 52810425600 53040844506 53720855333 54400866160 54805548480 55661885175 56624685351 57211294400 57341453520 58076600360 58811747200 59372677520 60124230400 61164217088 64186678400 65281039392 68001082700 68506935600 68653553280 69691920432 70574096640 70721126008 71247213024 71676816900 72595750450 73074064640 74215846900 75499580468 76455271360 77024014080 81601299240 85816941600 87041385856 87114900540 88217620800 88401407510 89059016280 90186345600 91342580800 91746325632 92922560576 94374475585 94996284032 95569089200 96280017600 102001624050 106081689012 107441710666 108801732320 108893625675 109611096960 111323770350 113249370702 114422588800 114682907040 116153200720 117623494400 118745355040 128373356800 130562078784 132602111265 136002165400 137013871200 137307106560 139383840864 141442252016 142494426048 143353633800 145191500900 148431693800 150999160936 152910542720 161162565999 163202598480 171633883200 174082771712 174229801080 176435241600 176802815020 178118032560 180372691200 182685161600 183492651264 185845121152 188748951170 189992568064 191138178400 192560035200 204003248100 212163378024 214883421332 217603464640 217787251350 219222193920 221003518775 222647540700 226498741404 228845177600 229365814080 232306401440 237490710080 261124157568 265204222530 268604276665 272004330800 274027742400 278767681728 282884504032 283123426755 284988852096 286707267600 290383001800 296863387600 301998321872 305821085440 322325131998 326405196960 343267766400 348459602160 352870483200 353605630040 356236065120 365370323200 371690242304 377497902340 382276356800 385120070400 408006496200 424326756048 429766842664 435206929280 435574502700 442007037550 445295081400 452997482808 458731628160 464612802880 471872377925 474981420160 522248315136 530408445060 537208553330 544008661600 548055484800 557535363456 565769008064 566246853510 569977704192 573414535200 580766003600 593726775200 603996643744 644650263996 652810393920 663010556325 686535532800 696919204320 698371119329 707211260080 712472130240 754995804680 764552713600 805812829995 816012992400 848653512096 859533685328 870413858560 871149005400 884014075100 890590162800 905994965616 917463256320 929225605760 943744755850 949962840320 1060816890120 1074417106660 1088017323200 1096110969600 1115070726912 1131538016128 1132493707020 1146829070400 1161532007200 1187453550400 1207993287488 1289300527992 1305620787840 1326021112650 1343021383325 1393838408640 1396742238658 1414422520160 1415617133775 1424944260480 1509991609360 1529105427200 1611625659990 1632025984800 1697307024192 1719067370656 1742298010800 1768028150200 1781180325600 1811989931232 1858451211520 1887489511700 2095113357987 2121633780240 2148834213320 2176034646400 2263076032256 2264987414040 2293658140800 2323064014400 2374907100800 2415986574976 2578601055984 2611241575680 2652042225300 2686042766650 2787676817280 2793484477316 2828845040320 2831234267550 2849888520960 3019983218720 3223251319980 3264051969600 3394614048384 3438134741312 3484596021600 3491855596645 3536056300400 3562360651200 3623979862464 3774979023400 4029064149975 4190226715974 4243267560480 4297668426640 4352069292800 4529974828080 4587316281600 4646128028800 4749814201600 4831973149952 5157202111968 5304084450600 5372085533300 5575353634560 5586968954632 5657690080640 5662468535100 6039966437440 6446502639960 6528103939200 6789228096768 6876269482624 6969192043200 6983711193290 7072112600800 7124721302400 7247959724928 7549958046800 8058128299950 8380453431948 8486535120960 8595336853280 9059949656160 9292256057600 10314404223936 10475566789935 10608168901200 10744171066600 11173937909264 11315380161280 11324937070200 12079932874880 12893005279920 13056207878400 13752538965248 13938384086400 13967422386580 14144225201600 14249442604800 14495919449856 15099916093600 16116256599900 16760906863896 16973070241920 17190673706560 17459277983225 18119899312320 20628808447872 20951133579870 21216337802400 21488342133200 22347875818528 22649874140400 24159865749760 25786010559840 27876768172800 27934844773160 28288450403200 30199832187200 32232513199800 33521813727792 33946140483840 34381347413120 34918555966450 36239798624640 41257616895744 41902267159740 42432675604800 42976684266400 44695751637056 45299748280800 51572021119680 52377833949675 55869689546320 56576900806400 60399664374400 64465026399600 67043627455584 68762694826240 69837111932900 72479597249280 83804534319480 84865351209600 85953368532800 89391503274112 90599496561600 103144042239360 104755667899350 111739379092640 120799328748800 128930052799200 134087254911168 139674223865800 167609068638960 169730702419200 171906737065600 178783006548224 181198993123200 206288084478720 209511335798700 223478758185280 257860105598400 268174509822336 279348447731600 335218137277920 343813474131200 362397986246400 419022671597400 446957516370560 515720211196800 536349019644672 558696895463200 670436274555840 838045343194800 893915032741120 1031440422393600 1117393790926400 1340872549111680 1676090686389600 2234787581852800 2681745098223360 3352181372779200 4469575163705600 6704362745558400 13408725491116800
• Sum of all divisors σ(n): 49618293419304960
• Sum of proper divisors (its aliquot sum) s(n): 36209567928188160
• 13408725491116800 is an abundant number, because the sum of its proper divisors (36209567928188160) is greater than itself. Its abundance is 22800842437071360

Bases of 13408725491116800

• Binary: 101111101000110010101000101111110010011110101100000000₂
• Hexadecimal: 0x2FA32A2FC9EB00
• Base-36: 3O0ZVGADM2O

Squares and roots of 13408725491116800

• 13408725491116800 squared (13408725491116800²) is 179793919296125469355711242240000
• 13408725491116800 cubed (13408725491116800³) is 2410807308813754288258052135079511012933632000000
• The square root of 13408725491116800 is 115796051.2760119985
• The cube root of 13408725491116800 is 237572.3169834579

Scales and comparisons

• 13,408,725,491,116,800 seconds is equal to 426,355,994 years, 36 weeks, 5 days, 2 hours, 40 minutes.
• To count from 1 to 13,408,725,491,116,800 would take you about one billion, two hundred seventy-nine million, sixty-seven thousand, nine hundred eighty-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 13408725491116800 cubic inches would be around 19797.7 feet tall.

Recreational maths with 13408725491116800

• 13408725491116800 backwards is 00861119452780431
• 13408725491116800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13408725491116800's digits is 60
• More coming soon!