13681404464000
13,681,404,464,000 is an even composite number composed of five prime numbers multiplied together.
13681404464000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13681404464000:
27 × 53 × 72 × 135 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 47)See below for interesting mathematical facts about the number 13681404464000 from the Numbermatics database.
Names of 13681404464000
- Cardinal: 13681404464000 can be written as Thirteen trillion, six hundred eighty-one billion, four hundred four million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3681404464 × 1013
Factors of 13681404464000
Divisors of 13681404464000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 47 49 50 52 56 64 65 70 80 91 94 98 100 104 112 125 128 130 140 160 169 175 182 188 196 200 208 224 235 245 250 260 280 320 325 329 338 350 364 376 392 400 416 448 455 470 490 500 520 560 611 637 640 650 658 676 700 728 752 784 800 832 845 875 896 910 940 980 1000 1040 1120 1175 1183 1222 1225 1274 1300 1316 1352 1400 1456 1504 1568 1600 1625 1645 1664 1690 1750 1820 1880 1960 2000 2080 2197 2240 2275 2303 2350 2366 2444 2450 2548 2600 2632 2704 2800 2912 3008 3055 3136 3185 3200 3250 3290 3380 3500 3640 3760 3920 4000 4160 4225 4277 4394 4480 4550 4606 4700 4732 4888 4900 5096 5200 5264 5408 5600 5824 5875 5915 6016 6110 6125 6272 6370 6500 6580 6760 7000 7280 7520 7840 7943 8000 8225 8281 8320 8450 8554 8788 9100 9212 9400 9464 9776 9800 10192 10400 10528 10816 10985 11200 11375 11515 11648 11750 11830 12220 12250 12740 13000 13160 13520 14000 14560 15040 15275 15379 15680 15886 15925 16000 16450 16562 16900 17108 17576 18200 18424 18800 18928 19552 19600 20384 20800 21056 21125 21385 21632 21970 22400 22750 23030 23500 23660 24440 24500 25480 26000 26320 27040 28000 28561 29120 29575 29939 30080 30550 30758 31360 31772 31850 32900 33124 33800 34216 35152 36400 36848 37600 37856 39104 39200 39715 40768 41125 41405 41600 42112 42250 42770 43940 45500 46060 47000 47320 48880 49000 50960 52000 52640 54080 54925 55601 56000 57122 57575 58240 59150 59878 61100 61516 63544 63700 65800 66248 67600 68432 70304 72800 73696 75200 75712 76375 76895 78208 78400 79430 79625 81536 82250 82810 84500 85540 87880 91000 92120 94000 94640 97760 98000 101920 103259 104000 105280 106925 107653 108160 109850 111202 112000 114244 115150 118300 119756 122200 123032 127088 127400 131600 132496 135200 136864 140608 142805 145600 147392 147875 149695 150400 151424 152750 153790 156800 158860 159250 164500 165620 169000 171080 175760 182000 184240 188000 189280 195520 196000 198575 199927 203840 206518 207025 208000 210560 213850 215306 219700 222404 228488 230300 236600 239512 244400 246064 254176 254800 263200 264992 270400 273728 274625 278005 281216 285610 287875 291200 294784 295750 299390 305500 307580 317720 318500 329000 331240 338000 342160 351520 364000 368480 371293 376000 378560 384475 389207 391040 392000 397150 399854 407680 413036 414050 427700 430612 439400 444808 456976 460600 473200 479024 488800 492128 508352 509600 516295 526400 529984 534625 538265 540800 547456 549250 556010 571220 575750 591500 598780 611000 615160 635440 637000 658000 662480 676000 684320 703040 714025 722813 728000 736960 742586 748475 752000 757120 768950 778414 784000 794300 799708 826072 828100 855400 861224 878800 889616 913952 921200 946400 958048 977600 984256 992875 999635 1016704 1019200 1032590 1035125 1052800 1059968 1069250 1076530 1098500 1112020 1142440 1151500 1183000 1197560 1222000 1230320 1270880 1274000 1316000 1324960 1342367 1352000 1368640 1390025 1399489 1406080 1428050 1445626 1456000 1473920 1485172 1496950 1537900 1556828 1588600 1599416 1652144 1656200 1710800 1722448 1757600 1779232 1827904 1842400 1856465 1892800 1916096 1922375 1946035 1955200 1968512 1985750 1999270 2038400 2065180 2070250 2138500 2153060 2197000 2224040 2284880 2303000 2366000 2395120 2444000 2460640 2541760 2548000 2581475 2599051 2632000 2649920 2684734 2691325 2704000 2737280 2780050 2798978 2856100 2891252 2970344 2993900 3075800 3113656 3177200 3198832 3304288 3312400 3421600 3444896 3515200 3558464 3570125 3614065 3655808 3684800 3712930 3742375 3785600 3832192 3844750 3892070 3971500 3998540 4130360 4140500 4277000 4306120 4394000 4448080 4569760 4606000 4732000 4790240 4888000 4921280 4998175 5059691 5083520 5096000 5162950 5198102 5264000 5299840 5369468 5382650 5560100 5597956 5712200 5782504 5940688 5987800 6151600 6227312 6354400 6397664 6608576 6624800 6711835 6843200 6889792 6950125 6997445 7030400 7116928 7140250 7228130 7369600 7425860 7484750 7689500 7784140 7943000 7997080 8260720 8281000 8554000 8612240 8788000 8896160 9139520 9212000 9282325 9396569 9464000 9580480 9730175 9776000 9842560 9996350 10119382 10192000 10325900 10396204 10738936 10765300 11120200 11195912 11424400 11565008 11881376 11975600 12303200 12454624 12708800 12795328 12907375 12995255 13217152 13249600 13423670 13456625 13686400 13779584 13900250 13994890 14280500 14456260 14851720 14969500 15379000 15568280 15886000 15994160 16521440 16562000 17108000 17224480 17450771 17576000 17792320 18070325 18193357 18279040 18424000 18564650 18793138 18928000 19160960 19460350 19992700 20238764 20651800 20792408 21477872 21530600 22240400 22391824 22848800 23130016 23762752 23951200 24606400 24909248 24990875 25298455 25417600 25590656 25814750 25990510 26499200 26847340 26913250 27800500 27989780 28561000 28912520 29703440 29939000 30758000 31136560 31772000 31988320 33042880 33124000 33559175 34216000 34448960 34901542 34987225 35152000 35584640 36140650 36386714 36848000 37129300 37586276 38920700 39985400 40477528 41303600 41584816 42955744 43061200 44480800 44783648 45697600 46260032 46411625 46982845 47525504 47902400 48650875 49212800 49818496 49981750 50596910 51629500 51981020 53694680 53826500 55601000 55979560 57122000 57825040 59406880 59878000 61516000 62273120 63544000 63976640 64976275 65775983 66085760 66248000 67118350 68432000 68897920 69803084 69974450 72281300 72773428 74258600 75172552 77841400 79970800 80955056 82607200 83169632 85911488 86122400 87253855 88961600 89567296 90351625 90966785 91395200 92520064 92823250 93965690 95804800 97301750 99963500 101193820 103259000 103962040 107389360 107653000 111202000 111959120 114244000 115650080 118813760 119756000 122155397 123032000 124546240 126492275 127088000 127953280 129952550 131551966 132496000 134236700 139606168 139948900 144562600 145546856 148517200 150345104 155682800 159941600 161910112 165214400 166339264 167795875 171822976 172244800 174507710 174936125 177923200 179134592 180703250 181933570 185646500 187931380 194603500 199927000 202387640 206518000 207924080 214778720 215306000 222404000 223918240 228488000 231300160 234914225 237627520 239512000 244310794 246064000 249092480 252984550 259905100 263103932 268473400 279212336 279897800 289125200 291093712 297034400 300690208 311365600 319883200 323820224 324881375 328879915 330428800 332678528 335591750 344489600 349015420 349872250 361406500 363867140 371293000 375862760 389207000 399854000 404775280 413036000 415848160 429557440 430612000 436269275 444808000 447836480 454833925 456976000 462600320 469828450 479024000 488621588 505969100 519810200 526207864 536946800 558424672 559795600 578250400 582187424 594068800 601380416 610776985 622731200 632461375 639766400 647640448 649762750 657759830 671183500 698030840 699744500 722813000 727734280 742586000 751725520 778414000 799708000 809550560 826072000 831696320 855087779 859114880 861224000 872538550 889616000 895672960 909667850 939656900 977243176 1011938200 1039620400 1052415728 1073893600 1116849344 1119591200 1156500800 1164374848 1174571125 1188137600 1202760832 1221553970 1245462400 1264922750 1299525500 1315519660 1342367000 1396061680 1399489000 1445626000 1455468560 1485172000 1503451040 1556828000 1599416000 1619101120 1644399575 1652144000 1663392640 1710175558 1722448000 1745077100 1819335700 1879313800 1954486352 2023876400 2079240800 2104831456 2147787200 2181346375 2233698688 2239182400 2274169625 2313001600 2328749696 2349142250 2443107940 2529845500 2599051000 2631039320 2684734000 2792123360 2798978000 2891252000 2910937120 2970344000 3006902080 3053884925 3113656000 3198832000 3238202240 3288799150 3420351116 3490154200 3638671400 3758627600 3908972704 4047752800 4158481600 4209662912 4275438895 4295574400 4362692750 4478364800 4548339250 4698284500 4886215880 5059691000 5198102000 5262078640 5369468000 5584246720 5597956000 5782504000 5821874240 5940688000 6013804160 6107769850 6227312000 6577598300 6840702232 6980308400 7277342800 7517255200 7817945408 8095505600 8221997875 8316963200 8419325824 8550877790 8725385500 9096678500 9396569000 9772431760 10119382000 10396204000 10524157280 10738936000 11168493440 11195912000 11565008000 11643748480 12215539700 13155196600 13681404464 13960616800 14554685600 15034510400 15269424625 15635890816 16191011200 16443995750 17101755580 17450771000 18193357000 18793138000 19544863520 20238764000 20792408000 21048314560 21377194475 21477872000 22391824000 24431079400 26310393200 27362808928 27921233600 29109371200 30069020800 30538849250 32887991500 34203511160 34901542000 36386714000 37586276000 39089727040 40477528000 41584816000 42096629120 42754388950 48862158800 52620786400 54725617856 55842467200 58218742400 61077698500 65775983000 68407022320 69803084000 72773428000 75172552000 78179454080 80955056000 85508777900 97724317600 105241572800 106885972375 109451235712 122155397000 131551966000 136814044640 139606168000 145546856000 150345104000 171017555800 195448635200 210483145600 213771944750 244310794000 263103932000 273628089280 279212336000 291093712000 342035111600 390897270400 427543889500 488621588000 526207864000 547256178560 684070223200 855087779000 977243176000 1052415728000 1368140446400 1710175558000 1954486352000 2736280892800 3420351116000 6840702232000 13681404464000
- Sum of all divisors σ(n): 43778376270720
- Sum of proper divisors (its aliquot sum) s(n): 30096971806720
- 13681404464000 is an abundant number, because the sum of its proper divisors (30096971806720) is greater than itself. Its abundance is 16415567342720
Bases of 13681404464000
- Binary: 110001110001011100110100000011001011100000002
- Hexadecimal: 0xC717340CB80
- Base-36: 4UL5EZ2WW
Squares and roots of 13681404464000
- 13681404464000 squared (136814044640002) is 187180828107559127296000000
- 13681404464000 cubed (136814044640003) is 2560896617245976116331438649344000000000
-
The
square root of 13681404464000 is 3698838.2586969113 -
The
cube root of 13681404464000 is 23917.1940627967
Scales and comparisons
How big is 13681404464000?- 13,681,404,464,000 seconds is equal to 435,026 years, 17 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
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To count from 1 to 13,681,404,464,000 would take you about one million, eighty-seven thousand, five hundred sixty-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 13681404464000 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13681404464000
- 13681404464000 backwards is 00046440418631
- The number of decimal digits it has is: 14
- The sum of 13681404464000's digits is 41
- More coming soon!
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The information we have on file for 13681404464000 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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