13828651698400
13,828,651,698,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 13828651698400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
13828651698400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 13828651698400:
25 × 52 × 76 × 11 × 192 × 37
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 19 × 19 × 37)See below for interesting mathematical facts about the number 13828651698400 from the Numbermatics database.
Names of 13828651698400
- Cardinal: 13828651698400 can be written as Thirteen trillion, eight hundred twenty-eight billion, six hundred fifty-one million, six hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.38286516984 × 1013
Factors of 13828651698400
Divisors of 13828651698400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 32 35 37 38 40 44 49 50 55 56 70 74 76 77 80 88 95 98 100 110 112 133 140 148 152 154 160 175 176 185 190 196 200 209 220 224 245 259 266 275 280 296 304 308 343 350 352 361 370 380 385 392 400 407 418 440 475 490 518 532 539 550 560 592 608 616 665 686 700 703 722 740 760 770 784 800 814 836 880 925 931 950 980 1036 1045 1064 1078 1100 1120 1184 1225 1232 1295 1330 1372 1400 1406 1444 1463 1480 1520 1540 1568 1628 1672 1715 1760 1805 1813 1850 1862 1900 1925 1960 2035 2072 2090 2128 2156 2200 2401 2450 2464 2527 2590 2660 2695 2744 2800 2812 2849 2888 2926 2960 3040 3080 3256 3325 3344 3430 3515 3610 3626 3700 3724 3773 3800 3850 3920 3971 4070 4144 4180 4256 4312 4400 4655 4802 4900 4921 5054 5180 5225 5320 5390 5488 5600 5624 5698 5776 5852 5920 6160 6475 6512 6517 6650 6688 6860 7030 7220 7252 7315 7400 7448 7546 7600 7700 7733 7840 7942 8140 8288 8360 8575 8624 8800 9025 9065 9310 9604 9800 9842 10108 10175 10241 10360 10450 10640 10780 10976 11248 11396 11552 11704 12005 12320 12635 12691 12950 13024 13034 13300 13357 13475 13720 14060 14245 14440 14504 14630 14800 14896 15092 15200 15400 15466 15884 16280 16720 16807 17150 17248 17575 17689 18050 18130 18620 18865 19208 19600 19684 19855 19943 20216 20350 20482 20720 20900 21280 21560 22496 22792 23275 23408 24010 24605 25270 25382 25900 26068 26411 26600 26714 26950 27440 27797 28120 28490 28880 29008 29260 29600 29792 30184 30800 30932 31768 32560 32585 33440 33614 34300 34447 35150 35378 36100 36260 36575 37240 37730 38416 38665 39200 39368 39710 39886 40432 40700 40964 41440 41800 43120 45325 45584 45619 46550 46816 48020 49210 50540 50764 51205 51800 52136 52822 53200 53428 53900 54131 54880 55594 56240 56980 57760 58016 58520 60025 60368 61600 61864 63175 63455 63536 65120 65170 66785 67228 68600 68894 70300 70756 71225 71687 72200 72520 73150 74480 75460 76832 77330 78736 79420 79772 80864 81400 81928 83600 84035 86240 88445 88837 90650 91168 91238 93100 93499 94325 96040 98420 99275 99715 101080 101528 102410 103600 104272 105644 106400 106856 107800 108262 111188 112480 113960 117040 117649 120050 120736 123025 123728 123823 126350 126910 127072 130340 132055 133570 134456 137200 137788 138985 139601 140600 141512 142450 143374 144400 145040 146300 146927 148960 150920 154660 157472 158840 159544 162800 162925 163856 167200 168070 172235 176890 177674 181300 182476 184877 186200 186998 188650 192080 193325 194579 196840 198550 199430 202160 203056 204820 207200 208544 211288 213712 215600 216524 222376 227920 228095 234080 235298 240100 241129 246050 247456 247646 252700 253820 256025 260680 264110 267140 268912 270655 274400 275576 277970 279202 281200 283024 284900 286748 288800 290080 292600 293854 301840 309320 317275 317680 319088 319333 325600 325850 327712 333925 336140 344470 353780 355348 358435 362600 364952 369754 372400 373996 377300 378917 384160 386650 389158 393680 397100 398860 404320 406112 409640 420175 422576 427424 431200 433048 442225 444185 444752 455840 456190 467495 470596 480200 482258 492100 495292 498575 501809 505400 507640 512050 521360 528220 534280 537824 541310 551152 555940 558404 562400 566048 569800 573496 585200 587708 588245 603680 618640 619115 621859 634550 635360 638176 638666 651700 654493 660275 667850 672280 688940 694925 698005 707560 710696 716870 725200 729904 734635 739508 744800 747992 754600 757834 773300 778316 787360 794200 797720 819280 840350 845152 861175 866096 866761 884450 888370 889504 912380 924385 934990 941192 960400 964516 972895 977207 984200 990584 997150 1003618 1010800 1015280 1024100 1028489 1042720 1056440 1068560 1082620 1102304 1111880 1116808 1139600 1140475 1146992 1170400 1175416 1176490 1205645 1237280 1238230 1243718 1269100 1277332 1294139 1303400 1308986 1320550 1335700 1344560 1353275 1362053 1377880 1389850 1396010 1415120 1421392 1433740 1450400 1459808 1469270 1479016 1495984 1509200 1515668 1546600 1556632 1588400 1595440 1596665 1638560 1680700 1687903 1722350 1732192 1733522 1768900 1776740 1792175 1824760 1848770 1869980 1882384 1894585 1920800 1929032 1945790 1954414 1968400 1981168 1994300 2007236 2021600 2030560 2048200 2056978 2112880 2137120 2165240 2220925 2223760 2233616 2235331 2279200 2280950 2293984 2337475 2350832 2352980 2411290 2476460 2487436 2509045 2538200 2554664 2588278 2606800 2617972 2641100 2652419 2671400 2689120 2706550 2724106 2755760 2779700 2792020 2830240 2842784 2867480 2938540 2941225 2958032 2991968 3018400 3031336 3093200 3095575 3109295 3113264 3176800 3190880 3193330 3272465 3361400 3375806 3444700 3467044 3490025 3512663 3537800 3553480 3584350 3649520 3673175 3697540 3739960 3764768 3789170 3858064 3891580 3908828 3936800 3962336 3988600 4014472 4096400 4113956 4225760 4330480 4333805 4353013 4441850 4447520 4467232 4470662 4561900 4581451 4621925 4674950 4701664 4705960 4822580 4864475 4886035 4952920 4974872 5018090 5076400 5109328 5142445 5176556 5213600 5235944 5282200 5304838 5342800 5413100 5448212 5511520 5559400 5584040 5734960 5877080 5882450 5916064 6028225 6062672 6067327 6186400 6191150 6218590 6226528 6386660 6470695 6544930 6722800 6751612 6810265 6840449 6889400 6934088 6980050 7025326 7075600 7106960 7168700 7199423 7299040 7346350 7395080 7479920 7578340 7716128 7783160 7817656 7977200 7983325 8028944 8192800 8227912 8439515 8660960 8667610 8706026 8883700 8941324 9123800 9162902 9243850 9349900 9411920 9472925 9534371 9645160 9728950 9772070 9905840 9949744 10036180 10152800 10218656 10284890 10353112 10471888 10564400 10609676 10685600 10826200 10896424 11118800 11168080 11176655 11469920 11754160 11764900 11815321 12056450 12125344 12134654 12382300 12437180 12545225 12773320 12941390 13089860 13262095 13445600 13503224 13620530 13680898 13778800 13868176 13960100 14050652 14151200 14213920 14337400 14398846 14692700 14790160 14959840 15156680 15546475 15566320 15635312 15954400 15966650 16057888 16362325 16455824 16879030 17335220 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51424450 51765560 52359440 53048380 54012896 54482120 54723592 55840400 55883275 56202608 57349600 57595384 58770800 59076605 60626720 60673270 62185900 63866600 64140314 64706950 65449300 66310475 66740597 67516120 68102650 68404490 69340880 69648208 70253260 71069600 71530592 71994230 73303216 73950800 74267732 74799200 75783400 76274968 77831600 78176560 80289440 82279120 82707247 84395150 84877408 84942578 86676100 87060260 87816575 89413240 91629020 92834665 94119200 94522568 95343710 95766286 96451600 97077232 97720700 98354564 99058400 99497440 100361800 100791922 102848900 103531120 104718880 106096760 108825325 108964240 109447184 111680800 111766550 112405216 114536275 115190768 117541600 118153210 121346540 122943205 124371800 127733200 128280628 129413900 129968531 130898600 132620950 133481194 135032240 136205300 136808980 138681760 139296416 140506520 143988460 146606432 147901600 148535464 151566800 151683175 152549936 155663200 156353120 160350785 164558240 165414494 168790300 169885156 171011225 173352200 174120520 175633150 178826480 179985575 183258040 185669330 189045136 190687420 191532572 192903200 194154464 195441400 196709128 200723600 201583844 205697800 207062240 212193520 212356445 217650650 217928480 218894368 223533100 224491099 229072550 230381536 236306420 238359275 239415715 242693080 245886410 248743600 251979805 255466400 256561256 258827800 259937062 261797200 265241900 266962388 270064480 272410600 273617960 281013040 287976920 295383025 297070928 303133600 303366350 305099872 320701570 330828988 333702985 337580600 339770312 342022450 346704400 348241040 351266300 352771727 357652960 359971150 366516080 371338660 378090272 381374840 383065144 390882800 393418256 401447200 403167688 411395600 413536235 424387040 424712890 435301300 447066200 448982198 458145100 464173325 467184179 472612840 476718550 478831430 485386160 491772820 497487200 503959610 513122512 517655600 519874124 523594400 530483800 533924776 544821200 547235920 562026080 575953840 590766050 594141856 606732700 614716025 641403140 649842655 661657976 667405970 675161200 679540624 684044900 693408800 696482080 702532600 705543454 719942300 733032160 742677320 762749680 766130288 781765600 786836512 801753925 806335376 822791200 827072470 849425780 870602600 894132400 897964396 909779717 916290200 928346650 934368358 945225680 953437100 957662860 970772320 983545640 1007919220 1026245024 1035311200 1039748248 1060967600 1061782225 1067849552 1089642400 1094471840 1122455495 1151907680 1181532100 1197078575 1213465400 1229432050 1259899025 1282806280 1299685310 1323315952 1334811940 1350322400 1359081248 1368089800 1405065200 1411086908 1439884600 1485354640 1525499360 1532260576 1571437693 1603507850 1612670752 1654144940 1668514925 1698851560 1741205200 1763858635 1788264800 1795928792 1819559434 1832580400 1856693300 1868736716 1890451360 1906874200 1915325720 1967091280 2015838440 2067681175 2079496496 2121935200 2123564450 2135699104 2244910990 2335920895 2363064200 2394157150 2426930800 2458864100 2469402089 2519798050 2565612560 2599370620 2646631904 2669623880 2736179600 2810130400 2822173816 2879769200 2970709280 3142875386 3207015700 3249213275 3308289880 3337029850 3397703120 3482410400 3527717270 3591857584 3639118868 3665160800 3713386600 3737473432 3813748400 3830651440 3934182560 4031676880 4135362350 4158992992 4247128900 4489821980 4548898585 4671841790 4726128400 4788314300 4853861600 4917728200 4938804178 5039596100 5131225120 5198741240 5339247760 5472359200 5612277475 5644347632 5759538400 6285750772 6414031400 6498426550 6616579760 6674059700 6795406240 7055434540 7183715168 7278237736 7426773200 7474946864 7627496800 7661302880 7857188465 8063353760 8270724700 8494257800 8819293175 8979643960 9097797170 9343683580 9452256800 9576628600 9835456400 9877608356 10079192200 10397482480 10678495520 11224554950 11288695264 11679604475 12347010445 12571501544 12828062800 12996853100 13233159520 13348119400 14110869080 14556475472 14853546400 14949893728 15714376930 16541449400 16988515600 17285814623 17638586350 17959287920 18195594340 18687367160 19153257200 19670912800 19755216712 20158384400 20794964960 22449109900 22744492925 23359208950 24694020890 25143003088 25656125600 25993706200 26696238800 28221738160 29112950944 31428753860 33082898800 33977031200 34571629246 35277172700 35918575840 36391188680 37374734320 38306514400 39285942325 39510433424 40316768800 44898219800 45488985850 46718417900 49388041780 50286006176 51987412400 53392477600 56443476320 61735052225 62857507720 66165797600 69143258492 70554345400 72782377360 74749468640 78571884650 79020866848 86429073115 89796439600 90977971700 93436835800 98776083560 103974824800 123470104450 125715015440 138286516984 141108690800 145564754720 157143769300 172858146230 179592879200 181955943400 186873671600 197552167120 246940208900 251430030880 276573033968 282217381600 314287538600 345716292460 363911886800 373747343200 395104334240 432145365575 493880417800 553146067936 628575077200 691432584920 727823773600 864290731150 987760835600 1257150154400 1382865169840 1728581462300 1975521671200 2765730339680 3457162924600 6914325849200 13828651698400
- Sum of all divisors σ(n): 46572179642856
- Sum of proper divisors (its aliquot sum) s(n): 32743527944456
- 13828651698400 is an abundant number, because the sum of its proper divisors (32743527944456) is greater than itself. Its abundance is 18914876246056
Bases of 13828651698400
- Binary: 110010010011101110111101111101001000111000002
- Hexadecimal: 0xC93BBDF48E0
- Base-36: 4WGSM6C4G
Squares and roots of 13828651698400
- 13828651698400 squared (138286516984002) is 191231607795661204562560000
- 13828651698400 cubed (138286516984003) is 2644475297931232996625035173051904000000
-
The
square root of 13828651698400 is 3718689.5135786747 -
The
cube root of 13828651698400 is 24002.6916532065
Scales and comparisons
How big is 13828651698400?- 13,828,651,698,400 seconds is equal to 439,708 years, 18 weeks, 1 day, 2 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,828,651,698,400 would take you about one million, ninety-nine thousand, two hundred seventy 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 13828651698400 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13828651698400
- 13828651698400 backwards is 00489615682831
- The number of decimal digits it has is: 14
- The sum of 13828651698400's digits is 61
- More coming soon!
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The information we have on file for 13828651698400 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!
Keywords: Divisors of 13828651698400, math, Factors of 13828651698400, curriculum, school, college, exams, university, Prime factorization of 13828651698400, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred twenty-eight billion, six hundred fifty-one million, six hundred ninety-eight thousand, four hundred.