12983213006400
12,983,213,006,400 is an even composite number composed of seven prime numbers multiplied together.
12983213006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 12983213006400:
26 × 3 × 52 × 7 × 132 × 1723 × 1327
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 13 × 1723 × 1327)See below for interesting mathematical facts about the number 12983213006400 from the Numbermatics database.
Names of 12983213006400
- Cardinal: 12983213006400 can be written as Twelve trillion, nine hundred eighty-three billion, two hundred thirteen million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.29832130064 × 1013
Factors of 12983213006400
Divisors of 12983213006400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 130 140 150 156 160 168 169 175 182 192 195 200 208 210 224 240 260 273 280 300 312 320 325 336 338 350 364 390 400 416 420 448 455 480 507 520 525 546 560 600 624 650 672 676 700 728 780 800 832 840 845 910 960 975 1014 1040 1050 1092 1120 1183 1200 1248 1300 1327 1344 1352 1365 1400 1456 1560 1600 1680 1690 1723 1820 1950 2028 2080 2100 2184 2240 2275 2366 2400 2496 2535 2600 2654 2704 2730 2800 2912 3120 3360 3380 3446 3549 3640 3900 3981 4056 4160 4200 4225 4368 4550 4732 4800 5070 5169 5200 5308 5408 5460 5600 5824 5915 6240 6635 6720 6760 6825 6892 7098 7280 7800 7962 8112 8400 8450 8615 8736 9100 9289 9464 10140 10338 10400 10616 10816 10920 11200 11830 12061 12480 12675 13270 13520 13650 13784 14196 14560 15600 15924 16224 16800 16900 17230 17251 17472 17745 18200 18578 18928 19905 20280 20676 20800 21232 21840 22399 23660 24122 25350 25845 26540 27040 27300 27568 27867 28392 29120 29575 31200 31848 32448 33175 33600 33800 34460 34502 35490 36183 36400 37156 37856 39810 40560 41352 42464 43075 43680 44798 46445 47320 48244 50700 51690 51753 53080 54080 54600 55136 55734 56784 59150 60305 62400 63696 66350 67197 67600 68920 69004 70980 72366 72800 74312 75712 79620 81120 82704 84928 86150 86255 87360 88725 89596 92890 94640 96488 99525 101400 103380 103506 106160 109200 110272 111468 111995 113568 118300 120610 120757 127392 129225 132700 134394 135200 137840 138008 139335 141960 144732 145600 148624 156793 159240 162240 165408 172300 172510 177450 179192 180915 185780 189280 192976 199050 202800 206760 207012 212320 218400 222936 223990 224263 227136 232225 236600 241220 241514 254784 258450 258765 265400 268788 270400 275680 276016 278670 283920 289464 291187 297248 301525 313586 318480 330816 335985 344600 345020 354900 358384 361830 362271 371560 378560 385952 398100 405600 413520 414024 424640 431275 436800 445872 447980 448526 464450 470379 473200 482440 483028 516900 517530 530800 537576 551360 552032 557340 559975 567840 578928 582374 594496 603050 603785 627172 636960 671970 672789 689200 690040 696675 709800 716768 723660 724542 743120 771904 783965 796200 811200 827040 828048 862550 873561 891744 895960 897052 904575 928900 940758 946400 964880 966056 1033800 1035060 1061600 1075152 1104064 1114680 1119950 1121315 1135680 1157856 1164748 1206100 1207570 1254344 1273920 1293825 1343940 1345578 1378400 1380080 1393350 1419600 1433536 1447320 1449084 1455935 1486240 1567930 1569841 1592400 1654080 1656096 1679925 1725100 1747122 1783488 1791920 1794104 1809150 1811355 1857800 1881516 1892800 1929760 1932112 2038309 2067600 2070120 2123200 2150304 2229360 2239900 2242630 2286421 2315712 2329496 2351895 2412200 2415140 2508688 2587650 2687880 2691156 2756800 2760160 2786700 2839200 2894640 2898168 2911870 2972480 3018925 3135860 3139682 3184800 3312192 3359850 3363945 3450200 3494244 3583840 3588208 3618300 3622710 3715600 3763032 3859520 3864224 3919825 4076618 4135200 4140240 4300608 4367805 4458720 4479800 4485260 4572842 4658992 4703790 4709523 4824400 4830280 5017376 5175300 5375760 5382312 5520320 5573400 5606575 5678400 5789280 5796336 5823740 6037850 6114927 6271720 6279364 6369600 6719700 6727890 6859263 6900400 6988488 7167680 7176416 7236600 7245420 7279675 7431200 7526064 7728448 7839650 7849205 8153236 8270400 8280480 8735610 8917440 8959600 8970520 9056775 9145684 9317984 9407580 9419046 9648800 9660560 10034752 10191545 10350600 10751520 10764624 11146800 11213150 11432105 11578560 11592672 11647480 11759475 12075700 12229854 12543440 12558728 13439400 13455780 13718526 13800800 13976976 14352832 14473200 14490840 14559350 14862400 15052128 15679300 15698410 16004947 16306472 16560960 16819725 17471220 17919200 17941040 18113550 18291368 18635968 18815160 18838092 19297600 19321120 20383090 20701200 21503040 21529248 21839025 22293600 22426300 22864210 23185344 23294960 23518950 23547615 24151400 24459708 25086880 25117456 26878800 26911560 27437052 27601600 27953952 28946400 28981680 29118700 29723473 30104256 30574635 31358600 31396820 32009894 32612944 33639450 34296315 34942440 35838400 35882080 36227100 36582736 37630320 37676184 38642240 39246025 40766180 41402400 43058496 43678050 44587200 44852600 45728420 46589920 47037900 47095230 48014841 48302800 48919416 50173760 50234912 50957725 53757600 53823120 54874104 55907904 57160525 57892800 57963360 58237400 59446946 61149270 62717200 62793640 64019788 65225888 67278900 68592630 69884880 71764160 72454200 73165472 75260640 75352368 78492050 80024735 81532360 82804800 87356100 89170419 89705200 91456840 93179840 94075800 94190460 96029682 96605600 97838832 100469824 101915450 107515200 107646240 109748208 114321050 115926720 116474800 117738075 118893892 122298540 125434400 125587280 128039576 130451776 134557800 137185260 139769760 144908400 146330944 148617365 150521280 150704736 152873175 156984100 160049470 163064720 171481575 174712200 178340838 179410400 182913680 188151600 188380920 192059364 193211200 195677664 203830900 208064311 215292480 219496416 228642100 232949600 235476150 237787784 240074205 244597080 250868800 251174560 256079152 269115600 274370520 279539520 289816800 297234730 301409472 305746350 313968200 320098940 326129440 342963150 349424400 356681676 358820800 365827360 376303200 376761840 384118728 386405149 391355328 400123675 407661800 416128622 438992832 445852095 457284200 465899200 470952300 475575568 480148410 489194160 502349120 512158304 538231200 548741040 579633600 594469460 611492700 624192933 627936400 640197880 652258880 685926300 698848800 713363352 731654720 743086825 752606400 753523680 768237456 772810298 800247350 815323600 832257244 891704190 914568400 941904600 951151136 960296820 978388320 1024316608 1040321555 1076462400 1097482080 1159215447 1188938920 1200371025 1222985400 1248385866 1255872800 1280395760 1371852600 1397697600 1426726704 1486173650 1507047360 1536474912 1545620596 1600494700 1630647200 1664514488 1783408380 1829136800 1883809200 1902302272 1920593640 1932025745 1956776640 2080643110 2194964160 2229260475 2318430894 2377877840 2400742050 2445970800 2496771732 2511745600 2560791520 2704836043 2743705200 2853453408 2972347300 3072949824 3091241192 3120964665 3200989400 3261294400 3329028976 3566816760 3658273600 3767618400 3841187280 3864051490 4161286220 4458520950 4636861788 4755755680 4801484100 4891941600 4993543464 5121583040 5201607775 5409672086 5487410400 5706906816 5796077235 5944694600 6182482384 6241929330 6401978800 6658057952 7133633520 7535236800 7682374560 7728102980 8114508129 8322572440 8917041900 9273723576 9511511360 9602968200 9660128725 9783883200 9987086928 10403215550 10819344172 10974820800 11592154470 11889389200 12364964768 12483858660 12803957600 13316115904 13524180215 14267267040 15364749120 15456205960 15604823325 16229016258 16645144880 17834083800 18547447152 19205936400 19320257450 19974173856 20806431100 21638688344 23184308940 23778778400 24729929536 24967717320 25607915200 27048360430 28534534080 28980386175 30912411920 31209646650 32458032516 33290289760 35668167600 37094894304 38411872800 38640514900 39948347712 40572540645 41612862200 43277376688 46368617880 47557556800 49935434640 54096720860 57960772350 61824823840 62419293300 64916065032 66580579520 67620901075 71336335200 74189788608 76823745600 77281029800 81145081290 83225724400 86554753376 92737235760 99870869280 108193441720 115921544700 123649647680 124838586600 129832130064 135241802150 142672670400 154562059600 162290162580 166451448800 173109506752 185474471520 199741738560 202862703225 216386883440 231843089400 249677173200 259664260128 270483604300 309124119200 324580325160 332902897600 370948943040 405725406450 432773766880 463686178800 499354346400 519328520256 540967208600 618248238400 649160650320 811450812900 865547533760 927372357600 998708692800 1081934417200 1298321300640 1622901625800 1854744715200 2163868834400 2596642601280 3245803251600 4327737668800 6491606503200 12983213006400
- Sum of all divisors σ(n): 52783941801984
- Sum of proper divisors (its aliquot sum) s(n): 39800728795584
- 12983213006400 is an abundant number, because the sum of its proper divisors (39800728795584) is greater than itself. Its abundance is 26817515789184
Bases of 12983213006400
- Binary: 101111001110111000111100110010011110010000002
- Hexadecimal: 0xBCEE3CC9E40
- Base-36: 4LOELT2DC
Squares and roots of 12983213006400
- 12983213006400 squared (129832130064002) is 168563819969554126440960000
- 12983213006400 cubed (129832130064003) is 2188499979837183186417062013702144000000
-
The
square root of 12983213006400 is 3603222.5862968833 -
The
cube root of 12983213006400 is 23503.2215329399
Scales and comparisons
How big is 12983213006400?- 12,983,213,006,400 seconds is equal to 412,826 years, 5 days, 1 hour, 20 minutes.
-
To count from 1 to 12,983,213,006,400 would take you about one million, thirty-two thousand and 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 12983213006400 cubic inches would be around 1958.6 feet tall.
Recreational maths with 12983213006400
- 12983213006400 backwards is 00460031238921
- 12983213006400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12983213006400's digits is 39
- More coming soon!
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The information we have on file for 12983213006400 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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