12820456224000
12,820,456,224,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12820456224000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
12820456224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12820456224000:
28 × 33 × 53 × 31 × 73 × 79 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 73 × 79 × 83)See below for interesting mathematical facts about the number 12820456224000 from the Numbermatics database.
Names of 12820456224000
- Cardinal: 12820456224000 can be written as Twelve trillion, eight hundred twenty billion, four hundred fifty-six million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.2820456224 × 1013
Factors of 12820456224000
Divisors of 12820456224000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 73 75 79 80 83 90 93 96 100 108 120 124 125 128 135 144 146 150 155 158 160 166 180 186 192 200 216 219 225 237 240 248 249 250 256 270 279 288 292 300 310 316 320 332 360 365 372 375 384 395 400 415 432 438 450 465 474 480 496 498 500 540 558 576 584 600 620 632 640 657 664 675 711 720 730 744 747 750 768 775 790 800 830 837 864 876 900 930 948 960 992 996 1000 1080 1095 1116 1125 1152 1168 1185 1200 1240 1245 1264 1280 1314 1328 1350 1395 1422 1440 1460 1488 1494 1500 1550 1580 1600 1660 1674 1728 1752 1800 1825 1860 1896 1920 1971 1975 1984 1992 2000 2075 2133 2160 2190 2232 2241 2250 2263 2304 2325 2336 2370 2400 2449 2480 2490 2528 2573 2628 2656 2700 2790 2844 2880 2920 2976 2988 3000 3100 3160 3200 3285 3320 3348 3375 3456 3504 3555 3600 3650 3720 3735 3792 3840 3875 3942 3950 3968 3984 4000 4150 4185 4266 4320 4380 4464 4482 4500 4526 4650 4672 4740 4800 4898 4960 4980 5056 5146 5256 5312 5400 5475 5580 5688 5760 5767 5840 5925 5952 5976 6000 6059 6200 6225 6320 6400 6557 6570 6640 6696 6750 6789 6912 6975 7008 7110 7200 7300 7347 7440 7470 7584 7719 7750 7884 7900 7936 7968 8000 8300 8370 8532 8640 8760 8928 8964 9000 9052 9125 9300 9344 9480 9600 9796 9855 9875 9920 9960 10112 10292 10375 10512 10624 10665 10800 10950 11160 11205 11315 11376 11520 11534 11625 11680 11850 11904 11952 12000 12118 12245 12400 12450 12640 12865 13114 13140 13280 13392 13500 13578 13950 14016 14220 14400 14600 14694 14880 14940 15168 15438 15500 15768 15800 15936 16000 16425 16600 16740 17064 17280 17301 17520 17775 17856 17928 18000 18104 18177 18250 18600 18675 18688 18960 19200 19592 19671 19710 19750 19840 19920 20224 20367 20584 20750 20925 21024 21248 21330 21600 21900 22041 22320 22410 22630 22752 23068 23157 23250 23360 23700 23808 23904 24000 24236 24490 24800 24900 25280 25730 26228 26280 26560 26784 27000 27156 27375 27900 28032 28440 28800 28835 29200 29388 29625 29760 29880 30295 30336 30876 31000 31125 31536 31600 31872 32000 32785 32850 33200 33480 33945 34128 34560 34602 34875 35040 35550 35712 35856 36000 36208 36354 36500 36735 37200 37350 37920 38595 39184 39342 39420 39500 39680 39840 40734 41168 41500 41850 42048 42660 43200 43800 44082 44640 44820 45260 45504 46136 46314 46500 46720 47400 47808 48000 48472 48980 49275 49600 49800 50560 51460 51903 52456 52560 53120 53325 53568 54000 54312 54531 54750 55800 56025 56064 56575 56880 57600 57670 58400 58776 59013 59250 59520 59760 60590 60672 61101 61225 61752 62000 62250 63072 63200 63744 64325 65570 65700 66123 66400 66960 67890 68256 69204 69471 69750 70080 71100 71424 71712 72000 72416 72708 73000 73470 74400 74700 75840 77190 78368 78684 78840 79000 79680 81468 82125 82336 83000 83700 84096 85320 86400 86505 87600 88164 88875 89280 89640 90520 90885 91008 92272 92628 93000 93375 93440 94800 95616 96000 96944 97960 98355 98550 99200 99600 101120 101835 102920 103806 104625 104912 105120 106240 106650 107136 108000 108624 109062 109500 110205 111600 112050 113150 113760 115340 115785 116800 117552 118026 118500 119040 119520 121180 122202 122450 123504 124000 124500 126144 126400 128650 131140 131400 132246 132800 133920 135780 136512 138408 138942 139500 140160 142200 143424 144000 144175 144832 145416 146000 146940 148800 149400 151475 151680 154380 155709 156736 157368 157680 158000 159360 162936 163593 163925 164250 164672 166000 167400 168192 169725 170640 172800 173010 175200 176328 177039 177750 178560 178777 179280 181040 181770 182016 183675 184544 185256 186000 186750 187829 189600 191232 192975 193888 195920 196710 197100 198400 199200 203267 203670 205840 207612 209250 209824 210240 213300 214272 216000 217248 218124 219000 220410 223200 224100 226300 227520 230680 231570 233600 235104 236052 237000 239040 242360 244404 244900 246375 247008 248000 249000 252288 252800 257300 259515 262280 262800 264492 265600 266625 267840 271560 272655 273024 276816 277884 279000 280125 280320 282875 284400 286848 288000 288350 289664 290832 292000 293880 295065 297600 298800 302950 303360 305505 306125 308760 311418 313472 314736 315360 316000 318720 321625 325872 327186 327850 328500 329344 330615 332000 334800 339450 341280 346020 347355 350400 352656 354078 355500 357120 357554 358560 362080 363540 367350 369088 370512 372000 373500 375658 379200 385950 387776 391840 393420 394200 398400 406534 407340 411680 415224 418500 419648 420480 426600 432000 432525 434496 436248 438000 440820 446400 448200 452600 454425 455040 461360 463140 467200 470208 472104 474000 478080 478661 484720 488808 489800 491775 492750 494016 496000 498000 504576 505600 509175 514600 519030 524560 525600 528984 531200 533250 535680 536331 543120 545310 546048 551025 553632 555768 558000 560250 563487 565750 568800 573696 576700 578925 579328 581664 584000 587760 590130 595200 597600 605900 609801 611010 612250 617520 622836 626944 629472 630720 632000 643250 651744 654372 655700 657000 658688 661230 664000 669600 678900 682560 692040 694710 700800 705312 708156 711000 715108 717120 720875 724160 727080 734700 738176 741024 744000 747000 751316 757375 758400 771900 775552 778545 783680 786840 788400 796800 813068 814680 817965 819625 823360 830448 837000 839296 840960 848625 853200 864000 865050 868992 872496 876000 881640 885195 892800 893885 896400 905200 908850 910080 918375 922720 926280 939145 940416 944208 948000 956160 957322 964875 969440 977616 979600 983550 985500 988032 992000 996000 1016335 1018350 1029200 1038060 1049120 1051200 1057968 1066500 1071360 1072662 1086240 1090620 1102050 1107264 1111536 1116000 1120500 1126974 1131500 1137600 1153400 1157850 1163328 1168000 1175520 1180260 1195200 1211800 1219602 1222020 1224500 1235040 1245672 1258944 1261440 1264000 1286500 1297575 1303488 1308744 1311400 1314000 1322460 1328000 1339200 1357800 1363275 1365120 1384080 1389420 1401600 1410624 1416312 1422000 1430216 1434240 1435983 1441750 1448320 1454160 1469400 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2938800 2950650 2964096 2976000 2988000 3005264 3029500 3049005 3055050 3087600 3114180 3134720 3147360 3153600 3217986 3252272 3258720 3271860 3278500 3293440 3306150 3321792 3348000 3380922 3394500 3412800 3460200 3473550 3489984 3504000 3526560 3540780 3575540 3585600 3620800 3635400 3658806 3673500 3690880 3705120 3756580 3776832 3792000 3829288 3859500 3877760 3892725 3910464 3918400 3934200 3942000 3984000 4065340 4073400 4089825 4116800 4152240 4196480 4204800 4231872 4266000 4290648 4307949 4325250 4344960 4362480 4408200 4425975 4429056 4446144 4464000 4469425 4482000 4507896 4526000 4544250 4550400 4613600 4631400 4653312 4695725 4702080 4721040 4780800 4786610 4826979 4847200 4878408 4888080 4898000 4917750 4940160 4982688 5035776 5071383 5081675 5091750 5146000 5190300 5213952 5234976 5245600 5256000 5289840 5356800 5363310 5431200 5453100 5488209 5510250 5536320 5557680 5634870 5642496 5665248 5688000 5720864 5743932 5767000 5789250 5816640 5877600 5901300 5928192 5976000 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11487864000 11708179200 11870792800 12820456224 12871944000 12923847000 13354641900 13523688000 13785436800 14244951360 14635224000 14838491000 15317152000 15446332800 16025570280 16228425600 16542524160 16693302375 17093941632 17162592000 17231796000 17562268800 17806189200 18031584000 18993268480 19307916000 19513632000 20031962850 20285532000 20678155200 21367427040 21952836000 22257736500 22975728000 23741585600 25640912448 25743888000 25847694000 26709283800 27047376000 27570873600 28489902720 29270448000 29676982000 30892665600 32051140560 32456851200 33386604750 34187883264 34463592000 35124537600 35612378400 38615832000 40063925700 40571064000 41356310400 42734854080 43905672000 44515473000 45951456000 47483171200 50079907125 51281824896 51487776000 51695388000 53418567600 54094752000 56979805440 58540896000 59353964000 64102281120 66773209500 68927184000 71224756800 77231664000 80127851400 81142128000 82712620800 85469708160 87811344000 89030946000 94966342400 100159814250 102563649792 103390776000 106837135200 118707928000 128204562240 133546419000 137854368000 142449513600 154463328000 160255702800 162284256000 170939416320 175622688000 178061892000 200319628500 206781552000 213674270400 237415856000 256409124480 267092838000 284899027200 320511405600 356123784000 400639257000 413563104000 427348540800 474831712000 512818248960 534185676000 641022811200 712247568000 801278514000 854697081600 1068371352000 1282045622400 1424495136000 1602557028000 2136742704000 2564091244800 3205114056000 4273485408000 6410228112000 12820456224000
- Sum of all divisors σ(n): 50740700774400
- Sum of proper divisors (its aliquot sum) s(n): 37920244550400
- 12820456224000 is an abundant number, because the sum of its proper divisors (37920244550400) is greater than itself. Its abundance is 25099788326400
Bases of 12820456224000
- Binary: 101110101000111111101011110100110101000000002
- Hexadecimal: 0xBA8FEBD3500
- Base-36: 4JLMWMDC0
Squares and roots of 12820456224000
- 12820456224000 squared (128204562240002) is 164364097791500338176000000
- 12820456224000 cubed (128204562240003) is 2107222720533185164866604007424000000000
-
The
square root of 12820456224000 is 3580566.4669155355 -
The
cube root of 12820456224000 is 23404.5965986479
Scales and comparisons
How big is 12820456224000?- 12,820,456,224,000 seconds is equal to 407,650 years, 44 weeks, 2 days.
-
To count from 1 to 12,820,456,224,000 would take you about one million, nineteen thousand, one hundred twenty-seven 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 12820456224000 cubic inches would be around 1950.4 feet tall.
Recreational maths with 12820456224000
- 12820456224000 backwards is 00042265402821
- 12820456224000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12820456224000's digits is 36
- More coming soon!
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MLA style:
"Number 12820456224000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 12820456224000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/12820456224000/
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Numbermatics. 2024. "Number 12820456224000 - Facts about the integer". https://numbermatics.com/n/12820456224000/
The information we have on file for 12820456224000 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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