13682131713120

Names of 13682131713120

• Cardinal: 13682131713120 can be written as Thirteen trillion, six hundred eighty-two billion, one hundred thirty-one million, seven hundred thirteen thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.368213171312 × 10¹³

Factors of 13682131713120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 2796

Divisors of 13682131713120

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 31 32 39 40 48 52 58 60 62 65 78 80 87 93 96 104 116 120 124 130 145 155 156 160 174 186 195 208 232 240 248 260 290 310 312 348 372 377 390 403 416 435 464 465 480 496 520 580 620 624 696 744 754 780 806 841 870 899 928 930 961 992 1040 1131 1160 1209 1240 1248 1392 1488 1508 1560 1612 1682 1740 1798 1860 1885 1922 2015 2080 2262 2320 2418 2480 2523 2697 2713 2784 2883 2976 3016 3120 3224 3364 3480 3596 3720 3770 3844 4030 4205 4495 4524 4640 4805 4836 4960 5046 5394 5426 5655 5766 6032 6045 6240 6448 6728 6960 7192 7440 7540 7688 8060 8139 8410 8990 9048 9610 9672 10092 10788 10852 10933 11310 11532 11687 12064 12090 12493 12615 12896 13456 13485 13565 13920 14384 14415 14880 15080 15376 16120 16278 16820 17980 18096 19220 19344 20184 21576 21704 21866 22620 23064 23374 24180 24986 25230 26071 26912 26970 27130 27869 28768 28830 30160 30752 32240 32556 32799 33640 35061 35269 35960 36192 37479 38440 38688 40368 40695 43152 43408 43732 45240 46128 46748 48360 49972 50460 52142 53940 54260 54665 55738 57660 58435 60320 62465 64480 65112 65598 67280 70122 70538 71920 74958 76880 78213 78677 80736 81390 83607 84103 86304 86816 87464 90480 92256 93496 96720 99944 100920 104284 105807 107880 108520 109330 111476 115320 116870 124930 130224 130355 131196 134560 139345 140244 141076 143840 149916 153760 156426 157354 162780 163995 167214 168206 174928 175305 176345 180960 186992 187395 193440 199888 201840 208568 211614 215760 217040 218660 222952 230640 233740 236031 249860 252309 260448 260710 262392 278690 280488 282152 299832 312852 314708 325560 327990 334428 336412 338923 349856 350610 352690 362297 373984 374790 391065 393385 399776 403680 417136 418035 420515 423228 431520 434080 437320 445904 461280 467480 472062 499720 504618 521420 524784 529035 557380 560976 564304 599664 625704 629416 651120 655980 668856 672824 677846 701220 705380 724594 749580 782130 786770 808201 834272 836070 841030 846456 874640 891808 934960 944124 999440 1009236 1016769 1022801 1042840 1049568 1058070 1086891 1093339 1114760 1121952 1128608 1180155 1199328 1251408 1258832 1261545 1302240 1311960 1337712 1345648 1355692 1402440 1410760 1449188 1499160 1564260 1573540 1616402 1672140 1682060 1692912 1694615 1749280 1811485 1869920 1888248 1998880 2018472 2033538 2045602 2085680 2116140 2173782 2186678 2229520 2281633 2360310 2424603 2438987 2502816 2517664 2523090 2607193 2623920 2675424 2691296 2711384 2804880 2821520 2898376 2998320 3068403 3128520 3147080 3232804 3280017 3344280 3364120 3385824 3389230 3622970 3776496 4036944 4041005 4067076 4091204 4171360 4232280 4347564 4373356 4459040 4563266 4720620 4849206 4877974 5046180 5083845 5114005 5214386 5247840 5422768 5434455 5466695 5609760 5643040 5796752 5996640 6136806 6257040 6294160 6465608 6560034 6688560 6728240 6778460 6844899 7245940 7316961 7552992 7821579 8073888 8082010 8134152 8182408 8464560 8695128 8746712 9126532 9441240 9698412 9755948 10092360 10167690 10228010 10428772 10506613 10845536 10868910 10933390 11408165 11593504 12123015 12194935 12273612 12514080 12588320 12931216 13035965 13120068 13377120 13456480 13556920 13689798 14491880 14633922 15342015 15643158 16164020 16268304 16364816 16400085 16929120 17390256 17493424 18253064 18882480 19396824 19511896 20184720 20335380 20456020 20857544 21013226 21737820 21866780 22816330 24246030 24389870 24547224 25862432 26071930 26240136 27113840 27379596 28983760 29267844 29661229 30684030 31286316 31519839 31706831 32328040 32536608 32729632 32800170 33893509 34224495 34780512 34986848 36506128 36584805 37764960 38793648 39023792 39107895 40369440 40670760 40912040 41715088 42026452 43475640 43733560 45632660 48492060 48779740 49094448 52143860 52480272 52533065 54227680 54759192 57967520 58535688 59322458 61368060 62572632 63039678 63413662 64656080 65600340 67787018 68448990 70730623 73012256 73169610 75608597 77587296 78047584 78215790 81341520 81824080 83430176 84052904 86951280 87467120 88983687 91265320 95120493 96984120 97559480 98188896 101680527 104287720 104960544 105066130 109518384 117071376 118644916 122736120 125145264 126079356 126827324 129312160 131200680 135574036 136897980 141461246 146339220 148306145 151217194 156431580 157599195 158534155 162683040 163648160 168105808 169467545 173902560 174934240 177967374 182530640 190240986 193968240 195118960 203361054 208575440 210132260 212191869 219036768 226825791 234142752 237289832 245472240 250290528 252158712 253654648 262401360 271148072 273795960 282922492 292678440 296612290 302434388 312863160 315198390 317068310 336211616 338935090 353653115 355934748 365061280 378042985 380481972 387936480 390237920 406722108 417150880 420264520 424383738 444918435 453651582 474579664 475602465 490944480 504317424 507309296 508402635 524802720 542296144 547591920 565844984 585356880 593224580 604868776 625726320 630396780 634136620 677870180 707306230 711869496 756085970 760963944 813444216 840529040 848767476 889836870 907303164 919498099 949159328 951204930 982911761 1008634848 1014618592 1016805270 1060959345 1084592288 1095183840 1131689968 1134128955 1170713760 1186449160 1209737552 1251452640 1260793560 1268273240 1355740360 1414612460 1423738992 1512171940 1521927888 1626888432 1681058080 1697534952 1779673740 1814606328 1838996198 1902409860 1965823522 2033610540 2121918690 2192649313 2263379936 2268257910 2372898320 2419475104 2521587120 2536546480 2711480720 2758494297 2829224920 2847477984 2948735283 3024343880 3043855776 3253776864 3395069904 3559347480 3629212656 3677992396 3804819720 3931647044 4067221080 4243837380 4385298626 4536515820 4597490495 4745796640 4914558805 5043174240 5073092960 5422961440 5516988594 5658449840 5897470566 6048687760 6577947939 6790139808 7118694960 7258425312 7355984792 7609639440 7863294088 8134442160 8487674760 8770597252 9073031640 9194980990 9829117610 10963246565 11033977188 11316899680 11794941132 12097375520 13155895878 13792471485 14237389920 14711969584 14743676415 15219278880 15726588176 16268884320 16975349520 17541194504 18146063280 18389961980 19658235220 21926493130 22067954376 23589882264 26311791756 27584942970 28504441069 29423939168 29487352830 31453176352 32889739695 33950699040 35082389008 36292126560 36779923960 39316470440 43852986260 44135908752 47179764528 52623583512 55169885940 57008882138 58974705660 65779479390 70164778016 73559847920 78632940880 85513323207 87705972520 88271817504 94359529056 105247167024 110339771880 114017764276 117949411320 131558958780 142522205345 147119695840 157265881760 171026646414 175411945040 210494334048 220679543760 228035528552 235898822640 263117917560 285044410690 342053292828 350823890080 427566616035 441359087520 456071057104 471797645280 526235835120 570088821380 684106585656 855133232070 912142114208 1052471670240 1140177642760 1368213171312 1710266464140 2280355285520 2736426342624 3420532928280 4560710571040 6841065856560 13682131713120
• Sum of all divisors σ(n): 49688635834656
• Sum of proper divisors (its aliquot sum) s(n): 36006504121536
• 13682131713120 is an abundant number, because the sum of its proper divisors (36006504121536) is greater than itself. Its abundance is 22324372408416

Bases of 13682131713120

• Binary: 11000111000110011110100110011011110001100000₂
• Hexadecimal: 0xC719E99BC60
• Base-36: 4ULHFYJXC

Squares and roots of 13682131713120

• 13682131713120 squared (13682131713120²) is 187200728215164025980134400
• 13682131713120 cubed (13682131713120³) is 2561305020231853694745372465359843328000
• The square root of 13682131713120 is 3698936.5651657235
• The cube root of 13682131713120 is 23917.6178363013

Scales and comparisons

• 13,682,131,713,120 seconds is equal to 435,049 years, 24 weeks, 1 day, 22 hours, 32 minutes.
• To count from 1 to 13,682,131,713,120 would take you about one million, eighty-seven thousand, six hundred twenty-three 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 13682131713120 cubic inches would be around 1993.1 feet tall.

Recreational maths with 13682131713120

• 13682131713120 backwards is 02131713128631
• 13682131713120 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13682131713120's digits is 39
• More coming soon!