13677957138109600

Names of 13677957138109600

• Cardinal: 13677957138109600 can be written as Thirteen quadrillion, six hundred seventy-seven trillion, nine hundred fifty-seven billion, one hundred thirty-eight million, one hundred nine thousand, six hundred.

Scientific notation

• Scientific notation: 1.36779571381096 × 10¹⁶

Factors of 13677957138109600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2087

Divisors of 13677957138109600

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 53 56 70 80 82 98 100 106 112 140 160 164 175 196 200 205 212 224 245 265 280 287 328 350 371 392 400 410 424 490 530 560 574 656 700 742 784 800 820 848 980 1025 1060 1120 1148 1225 1312 1325 1400 1435 1484 1568 1640 1681 1696 1855 1960 1979 2009 2050 2120 2173 2296 2450 2597 2650 2800 2870 2968 3280 3362 3710 3920 3958 4018 4100 4240 4346 4592 4900 5194 5300 5600 5740 5936 6560 6724 7175 7420 7840 7916 8036 8200 8405 8480 8692 9184 9275 9800 9895 10045 10388 10600 10865 11480 11767 11872 12985 13448 13853 14350 14840 15211 15832 16072 16400 16810 17384 18550 19600 19790 20090 20776 21200 21730 22960 23534 25970 26896 27706 28700 29680 30422 31664 32144 32800 33620 34768 37100 39200 39580 40180 41552 42025 42400 43460 45920 47068 49475 50225 51940 53792 54325 55412 57400 58835 59360 60844 63328 64288 64925 67240 69265 69536 74200 76055 79160 80360 81139 82369 83104 84050 86920 89093 94136 96971 98950 100450 103880 104887 106477 108650 110824 114800 117670 121688 129850 134480 138530 148400 152110 158320 160720 162278 164738 168100 173840 178186 188272 193942 197900 200900 207760 209774 212954 217300 221648 229600 235340 243376 259700 268960 277060 294175 296800 304220 316640 321440 324556 329476 336200 346325 347680 356372 376544 380275 387884 395800 401800 405695 411845 415520 419548 425908 434600 443296 445465 470680 484855 486752 519400 524435 532385 554120 567973 588350 608440 623651 649112 658952 672400 692650 712744 734209 760550 775768 791600 803600 811390 823690 839096 851816 869200 890930 941360 969710 1038800 1048870 1064770 1108240 1135946 1176700 1216880 1247302 1298224 1317904 1344800 1385300 1425488 1468418 1521100 1551536 1583200 1607200 1622780 1647380 1678192 1703632 1738400 1781860 1882720 1939420 2028475 2059225 2077600 2097740 2129540 2216480 2227325 2271892 2353400 2424275 2433760 2494604 2596448 2622175 2635808 2661925 2770600 2839865 2850976 2936836 3042200 3103072 3118255 3245560 3294760 3326699 3356384 3407264 3563720 3671045 3878840 3916441 3975811 4056950 4118450 4195480 4259080 4300367 4365557 4454650 4543784 4706800 4848550 4989208 5139463 5244350 5323850 5541200 5679730 5873672 6084400 6236510 6491120 6589520 6653398 7127440 7342090 7757680 7832882 7951622 8113900 8236900 8390960 8518160 8600734 8731114 8909300 9087568 9413600 9697100 9978416 10278926 10488700 10647700 11082400 11359460 11747344 12168800 12473020 12982240 13179040 13306796 14199325 14254880 14684180 15515360 15591275 15665764 15903244 16227800 16473800 16633495 16781920 17036320 17201468 17462228 17818600 18175136 18355225 19394200 19582205 19879055 19956832 20557852 20977400 21295400 21501835 21827785 22718920 23286893 23494688 24946040 25697315 26613592 27415087 28398650 29368360 30102569 31182550 31331528 31806488 32455600 32947600 33266990 34402936 34924456 35637200 36710450 38788400 39164410 39758110 41115704 41954800 42590800 43003670 43655570 45437840 46573786 49892080 51394630 53227184 54830174 56797300 58736720 60205138 62365100 62663056 63612976 64911200 65895200 66533980 68805872 69848912 71274400 73420900 77576800 78328820 79516220 82231408 83167475 83909600 85181600 86007340 87311140 90875680 93147572 97911025 99395275 99784160 102789260 106454368 107509175 109138925 109660348 113594600 116434465 117473440 120410276 124730200 125326112 127225952 128486575 133067960 137075435 137611744 139697824 146841800 150512845 156657640 159032440 160574081 163008251 164462816 166334950 172014680 174622280 176315047 186295144 191905609 195822050 198790550 205578520 207571373 210717983 215018350 218277850 219320696 227189200 232868930 240820552 249460400 256973150 266135920 274150870 293683600 301025690 313315280 318064880 321148162 326016502 332669900 344029360 349244560 352630094 372590288 383811218 391644100 397581100 411157040 415142746 421435966 430036700 436555700 438641392 454378400 465737860 481641104 498920800 513946300 532271840 548301740 582172325 587367200 602051380 626630560 636129760 642296324 652033004 665339800 685377175 688058720 698489120 705260188 745180576 752564225 767622436 783288200 795162200 802870405 815041255 822314080 830285492 842871932 860073400 873111400 877282784 881575235 931475720 959528045 963282208 1027892600 1037856865 1053589915 1096603480 1124018567 1164344650 1204102760 1234205329 1284592648 1304066008 1330679600 1370754350 1410520376 1452999611 1505128450 1535244872 1566576400 1590324400 1605740810 1630082510 1660570984 1685743864 1720146800 1746222800 1763150470 1862951440 1919056090 2055785200 2075713730 2107179830 2193206960 2248037134 2328689300 2408205520 2468410658 2569185296 2608132016 2661359200 2741508700 2821040752 2905999222 3010256900 3070489744 3133152800 3180648800 3211481620 3260165020 3321141968 3371487728 3440293600 3492445600 3526300940 3725902880 3838112180 4014352025 4075206275 4111570400 4151427460 4214359660 4386413920 4407876175 4496074268 4657378600 4797640225 4816411040 4936821316 5138370592 5189284325 5216264032 5267949575 5483017400 5620092835 5642081504 5811998444 6020513800 6140979488 6171026645 6422963240 6520330040 6583537321 6642283936 6742975456 7052601880 7264998055 7676224360 7868129969 8028704050 8150412550 8302854920 8428719320 8510426293 8639437303 8815752350 8992148536 9314757200 9595280450 9873642632 10170997277 10378568650 10535899150 10966034800 11240185670 11623996888 12041027600 12342053290 12845926480 13040660080 13167074642 14105203760 14529996110 15352448720 15736259938 16057408100 16300825100 16605709840 16857438640 17020852586 17278874606 17631504700 17984297072 18629514400 19190560900 19747285264 20341994554 20757137300 21071798300 21932069600 22480371340 23247993776 24082055200 24684106580 25691852960 26081320160 26334149284 28100464175 28210407520 29059992220 30704897440 30855133225 31472519876 32114816200 32601650200 32917686605 33211419680 33714877280 34041705172 34557749212 35263009400 35968594144 36324990275 38381121800 39340649845 39494570528 40683989108 41514274600 42143596600 42552131465 43197186515 44960742680 46084761247 46495987552 49368213160 50854986385 52668298568 56200928350 58119984440 59572984051 61710266450 62945039752 64229632400 65203300400 65835373210 68083410344 69115498424 70526018800 72649980550 76762243600 78681299690 81367978216 83028549200 84287193200 85104262930 86394373030 89921485360 92169522494 98736426320 101709972770 105336597136 112401856700 116239968880 119145968102 123420532900 125890079504 128459264800 130406600800 131670746420 136166820688 138230996848 141052037600 145299961100 153524487200 157362599380 162735956432 164588433025 166057098400 168574386400 170208525860 172788746060 179842970720 184339044988 196703249225 197472852640 203419945540 210673194272 212760657325 215985932575 224803713400 230423806235 232479937760 238291936204 246841065800 251780159008 254274931925 263341492840 272333641376 276461993696 290599922200 297864920255 314725198760 322593328729 325471912864 329176866050 340417051720 345577492120 348927478013 368678089976 393406498450 406839891080 417010888357 425521314650 431971865150 449607426800 460847612470 476583872408 493682131600 508549863850 526682985680 581199844400 595729840510 629450397520 645186657458 658353732100 680834103440 691154984240 697854956026 737356179952 786812996900 813679782160 834021776714 851042629300 863943730300 899214853600 921695224940 953167744816 987364263200 1017099727700 1053365971360 1152119031175 1162399688800 1191459681020 1258900795040 1290373314916 1316707464200 1361668206880 1382309968480 1395709912052 1474712359904 1489324601275 1573625993800 1612966643645 1627359564320 1668043553428 1702085258600 1727887460600 1744637390065 1843390449880 1906335489632 2034199455400 2085054441785 2304238062350 2382919362040 2442492346091 2580746629832 2633414928400 2791419824104 2978649202550 3147251987600 3225933287290 3336087106856 3404170517200 3455774921200 3489274780130 3686780899760 4068398910800 4170108883570 4608476124700 4765838724080 4884984692182 5161493259664 5266829856800 5582839648208 5957298405100 6294503975200 6451866574580 6672174213712 6808341034400 6911549842400 6978549560260 7373561799520 8064833218225 8136797821600 8340217767140 8723186950325 9216952249400 9531677448160 9769969384364 10322986519328 10425272208925 11165679296416 11914596810200 12212461730455 12903733149160 13344348427424 13957099120520 16129666436450 16680435534280 17097446422637 17446373900650 18433904498800 19539938768728 20850544417850 23829193620400 24424923460910 25807466298320 27914198241040 32259332872900 33360871068560 34194892845274 34892747801300 36867808997600 39079877537456 41701088835700 47658387240800 48849846921820 51614932596640 55828396482080 61062308652275 64518665745800 66721742137120 68389785690548 69785495602600 78159755074912 83402177671400 85487232113185 97699693843640 122124617304550 129037331491600 136779571381096 139570991205200 166804355342800 170974464226370 195399387687280 244249234609100 258074662983200 273559142762192 279141982410400 333608710685600 341948928452740 390798775374560 427436160565925 488498469218200 547118285524384 683897856905480 854872321131850 976996938436400 1367795713810960 1709744642263700 1953993876872800 2735591427621920 3419489284527400 6838978569054800 13677957138109600
• Sum of all divisors σ(n): 40585157111966922
• Sum of proper divisors (its aliquot sum) s(n): 26907199973857322
• 13677957138109600 is an abundant number, because the sum of its proper divisors (26907199973857322) is greater than itself. Its abundance is 13229242835747722

Bases of 13677957138109600

• Binary: 110000100110000000011110010000011110000101010010100000₂
• Hexadecimal: 0x309807907854A0
• Base-36: 3QOFIRHN4PS

Squares and roots of 13677957138109600

• 13677957138109600 squared (13677957138109600²) is 187086511471963359248661612160000
• 13677957138109600 cubed (13677957138109600³) is 2558961285031964798167016599164112910772736000000
• The square root of 13677957138109600 is 116952798.7613361907
• The cube root of 13677957138109600 is 239151.8507586469

Scales and comparisons

• 13,677,957,138,109,600 seconds is equal to 434,916,728 years, 15 weeks, 1 day, 11 hours, 46 minutes, 40 seconds.
• To count from 1 to 13,677,957,138,109,600 would take you about one billion, three hundred four million, seven hundred fifty thousand, one 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 13677957138109600 cubic inches would be around 19929.3 feet tall.

Recreational maths with 13677957138109600

• 13677957138109600 backwards is 00690183175977631
• The number of decimal digits it has is: 17
• The sum of 13677957138109600's digits is 73
• More coming soon!