13684292204800
13,684,292,204,800 is an even composite number composed of six prime numbers multiplied together.
13684292204800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13684292204800:
28 × 52 × 7 × 31 × 432 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 43 × 43 × 73 × 73)See below for interesting mathematical facts about the number 13684292204800 from the Numbermatics database.
Names of 13684292204800
- Cardinal: 13684292204800 can be written as Thirteen trillion, six hundred eighty-four billion, two hundred ninety-two million, two hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36842922048 × 1013
Factors of 13684292204800
Divisors of 13684292204800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 43 50 56 62 64 70 73 80 86 100 112 124 128 140 146 155 160 172 175 200 215 217 224 248 256 280 292 301 310 320 344 350 365 400 430 434 448 496 511 560 584 602 620 640 688 700 730 775 800 860 868 896 992 1022 1075 1085 1120 1168 1204 1240 1280 1333 1376 1400 1460 1505 1550 1600 1720 1736 1792 1825 1849 1984 2044 2150 2170 2240 2263 2336 2408 2480 2555 2666 2752 2800 2920 3010 3100 3139 3200 3440 3472 3650 3698 3968 4088 4300 4340 4480 4526 4672 4816 4960 5110 5329 5332 5425 5504 5600 5840 6020 6200 6278 6400 6665 6880 6944 7300 7396 7525 7936 8176 8600 8680 8960 9052 9245 9331 9344 9632 9920 10220 10658 10664 10850 11008 11200 11315 11680 12040 12400 12556 12775 12943 13330 13760 13888 14600 14792 15050 15695 15841 16352 17200 17360 18104 18490 18662 18688 19264 19840 20440 21316 21328 21700 21973 22400 22630 23360 24080 24800 25112 25550 25886 26645 26660 27520 27776 29200 29584 30100 31390 31682 32704 33325 34400 34720 36208 36980 37303 37324 38528 39680 40880 42632 42656 43400 43946 44800 45260 46225 46655 46720 48160 49600 50224 51100 51772 53290 53320 55040 55552 56575 57319 58400 59168 60200 62780 63364 64715 65408 66650 68800 69440 72416 73960 74606 74648 77056 78475 79205 81760 85264 85312 86800 87892 90520 92450 93310 93440 96320 97309 99200 100448 102200 103544 106580 106640 109865 113150 114638 116800 118336 120400 125560 126728 129430 130816 133225 133300 134977 137600 138880 144832 147920 149212 149296 156950 158410 163520 165199 170528 170624 173600 175784 181040 184900 186515 186620 192640 194618 198400 200896 204400 207088 213160 213280 219730 226300 229147 229276 233275 233600 236672 240800 251120 253456 258860 266450 266600 269954 275200 277760 286595 289664 295840 298424 298592 313900 316820 323575 327040 330398 341056 341248 347200 351568 362080 369800 373030 373240 385280 389236 396025 401233 401792 408800 414176 426320 426560 439460 452600 458294 458552 466550 467200 473344 481600 486545 502240 506912 517720 532900 533200 539908 549325 573190 579328 591680 596848 597184 627800 633640 647150 654080 660796 674885 681163 682112 694400 703136 724160 739600 746060 746480 778472 792050 802466 803584 817600 825995 828352 852640 853120 878920 905200 916588 917104 932575 933100 944839 963200 973090 1004480 1013824 1035440 1065800 1066400 1079816 1098650 1145735 1146380 1156393 1183360 1193696 1194368 1255600 1267280 1294300 1321592 1349770 1362326 1364224 1388800 1406272 1432975 1448320 1479200 1492120 1492960 1556944 1584100 1604029 1604932 1635200 1651990 1656704 1705280 1706240 1757840 1810400 1833176 1834208 1865150 1866200 1889678 1926400 1946180 2006165 2008960 2027648 2070880 2131600 2132800 2159632 2197300 2291470 2292760 2312786 2366720 2387392 2388736 2432725 2511200 2534560 2588600 2643184 2699540 2724652 2812544 2865950 2896640 2958400 2984240 2985920 3113888 3168200 3208058 3209864 3270400 3303980 3313408 3374425 3405815 3410560 3515680 3620800 3666352 3668416 3730300 3732400 3779356 3892360 4012330 4017920 4055296 4129975 4141760 4184287 4263200 4265600 4319264 4394600 4582940 4585520 4625572 4724195 4774784 4865450 5022400 5069120 5177200 5286368 5399080 5449304 5625088 5728675 5731900 5781965 5916800 5968480 5971840 6227776 6336400 6416116 6419728 6607960 6748850 6811630 6821120 7031360 7103557 7241600 7332704 7336832 7460600 7464800 7558712 7784720 8020145 8024660 8259950 8283520 8368574 8526400 8531200 8638528 8789200 9165880 9171040 9251144 9448390 9549568 9730900 9853321 10030825 10044800 10138240 10354400 10572736 10798160 10898608 11457350 11463800 11563930 11833600 11936960 11943680 12455552 12672800 12832232 12839456 13215920 13497700 13623260 14062720 14207114 14483200 14665408 14673664 14921200 14929600 15117424 15569440 16040290 16049320 16519900 16567040 16737148 17029075 17052800 17277056 17578400 18331760 18342080 18502288 18896780 19461800 19706642 20061650 20089600 20276480 20708800 20921435 21145472 21596320 21797216 22914700 22927600 23127860 23620975 23873920 24911104 25345600 25664464 25678912 26431840 26995400 27246520 28125440 28414228 28909825 29290009 29330816 29842400 29859200 30234848 31138880 32080580 32098640 33039800 33474296 34058150 34105600 34554112 35156800 35517785 36663520 36684160 37004576 37793560 38923600 39413284 40100725 40123300 41417600 41842870 42290944 43192640 43594432 45829400 45855200 46255720 47241950 47747840 49266605 49724899 50691200 51328928 51357824 52863680 53990800 54493040 56828456 57819650 58580018 58661632 59684800 59718400 60469696 62277760 64161160 64197280 66079600 66948592 68116300 68973247 70313600 71035570 73327040 73368320 74009152 75587120 77847200 78826568 80201450 80246600 82835200 83685740 86385280 87188864 91658800 91710400 92511440 94483900 98533210 99449798 101382400 102657856 102715648 104607175 105727360 107981600 108986080 113656912 115639300 117160036 119369600 120939392 124555520 128322320 128394560 132159200 133897184 136232600 137946494 140627200 142071140 146450045 146654080 148018304 151174240 155694400 157653136 160402900 160493200 167371480 172770560 174377728 177588925 183317600 183420800 185022880 188967800 197066420 198899596 205315712 209214350 211454720 215963200 217972160 227313824 231278600 234320072 238739200 241878784 246333025 248624495 256644640 256789120 264318400 267794368 272465200 275892988 284142280 292900090 293308160 296036608 302348480 305452951 311388800 315306272 320805800 320986400 334742960 344866235 355177850 366635200 366841600 370045760 377935600 394132840 397799192 410631424 418428700 431926400 435944320 454627648 462557200 468640144 492666050 497248990 513289280 513578240 528636800 535588736 544930400 551785976 568284560 585800180 604696960 610905902 622777600 630612544 641611600 641972800 669485920 689732470 710355700 732250225 733270400 740091520 755871200 788265680 795598384 836857400 863852800 871888640 909255296 925114400 937280288 985332100 994497980 1026578560 1057273600 1071177472 1089860800 1103571952 1136569120 1171600360 1209393920 1221811804 1243122475 1261225088 1283223200 1283945600 1338971840 1379464940 1420711400 1464500450 1466540800 1480183040 1511742400 1527264755 1576531360 1591196768 1673714800 1724331175 1818510592 1850228800 1874560576 1970664200 1988995960 2053157120 2138170657 2179721600 2207143904 2273138240 2343200720 2443623608 2486244950 2522450176 2566446400 2567891200 2677943680 2758929880 2841422800 2929000900 3023484800 3054529510 3153062720 3182393536 3347429600 3448662350 3700457600 3749121152 3941328400 3977991920 4276341314 4359443200 4414287808 4546276480 4686401440 4887247216 4972489900 5132892800 5355887360 5517859760 5682845600 5858001800 6046969600 6109059020 6306125440 6364787072 6694859200 6897324700 7400915200 7498242304 7636323775 7882656800 7955983840 8552682628 8828575616 9092552960 9372802880 9774494432 9944979800 10265785600 10690853285 11035719520 11365691200 11716003600 12218118040 12612250880 12729574144 13389718400 13794649400 15272647550 15765313600 15911967680 17105365256 17657151232 18745605760 19548988864 19889959600 21381706570 22071439040 22731382400 23432007200 24436236080 26779436800 27589298800 30545295100 31530627200 31823935360 34210730512 37491211520 39097977728 39779919200 42763413140 44142878080 45462764800 46864014400 48872472160 53454266425 55178597600 61090590200 63061254400 63647870720 68421461024 78195955456 79559838400 85526826280 88285756160 93728028800 97744944320 106908532850 110357195200 122181180400 136842922048 159119676800 171053652560 187456057600 195489888640 213817065700 220714390400 244362360800 273685844096 318239353600 342107305120 390979777280 427634131400 441428780800 488724721600 547371688192 684214610240 855268262800 977449443200 1368429220480 1710536525600 1954898886400 2736858440960 3421073051200 6842146102400 13684292204800
- Sum of all divisors σ(n): 41477076797184
- Sum of proper divisors (its aliquot sum) s(n): 27792784592384
- 13684292204800 is an abundant number, because the sum of its proper divisors (27792784592384) is greater than itself. Its abundance is 14108492387584
Bases of 13684292204800
- Binary: 110001110010000111110110000000111001000000002
- Hexadecimal: 0xC721F603900
- Base-36: 4UMH69DZ4
Squares and roots of 13684292204800
- 13684292204800 squared (136842922048002) is 187259853146350045143040000
- 13684292204800 cubed (136842922048003) is 2562518548682590676323030372974592000000
-
The
square root of 13684292204800 is 3699228.5959102339 -
The
cube root of 13684292204800 is 23918.8766824077
Scales and comparisons
How big is 13684292204800?- 13,684,292,204,800 seconds is equal to 435,118 years, 8 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,684,292,204,800 would take you about one million, eighty-seven thousand, seven hundred ninety-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 13684292204800 cubic inches would be around 1993.2 feet tall.
Recreational maths with 13684292204800
- 13684292204800 backwards is 00840229248631
- The number of decimal digits it has is: 14
- The sum of 13684292204800's digits is 49
- More coming soon!
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The information we have on file for 13684292204800 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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