12828837024000
12,828,837,024,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12828837024000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
12828837024000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12828837024000:
28 × 37 × 53 × 17 × 41 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 41 × 263)See below for interesting mathematical facts about the number 12828837024000 from the Numbermatics database.
Names of 12828837024000
- Cardinal: 12828837024000 can be written as Twelve trillion, eight hundred twenty-eight billion, eight hundred thirty-seven million, twenty-four thousand.
Scientific notation
- Scientific notation: 1.2828837024 × 1013
Factors of 12828837024000
Divisors of 12828837024000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 41 45 48 50 51 54 60 64 68 72 75 80 81 82 85 90 96 100 102 108 120 123 125 128 135 136 144 150 153 160 162 164 170 180 192 200 204 205 216 225 240 243 246 250 255 256 263 270 272 288 300 306 320 324 328 340 360 369 375 384 400 405 408 410 425 432 450 459 480 486 492 500 510 526 540 544 576 600 612 615 640 648 656 675 680 697 720 729 738 750 765 768 789 800 810 816 820 850 864 900 918 960 972 984 1000 1020 1025 1052 1080 1088 1107 1125 1152 1200 1215 1224 1230 1275 1280 1296 1312 1315 1350 1360 1377 1394 1440 1458 1476 1500 1530 1578 1600 1620 1632 1640 1700 1728 1800 1836 1845 1920 1944 1968 2000 2025 2040 2050 2091 2104 2125 2160 2176 2187 2214 2250 2295 2304 2367 2400 2430 2448 2460 2550 2592 2624 2630 2700 2720 2754 2788 2880 2916 2952 3000 3060 3075 3156 3200 3240 3264 3280 3321 3375 3400 3456 3485 3600 3645 3672 3690 3825 3840 3888 3936 3945 4000 4050 4080 4100 4131 4182 4208 4250 4320 4352 4374 4428 4471 4500 4590 4734 4800 4860 4896 4920 5100 5125 5184 5248 5260 5400 5440 5508 5535 5576 5760 5832 5904 6000 6075 6120 6150 6273 6312 6375 6400 6480 6528 6560 6575 6642 6750 6800 6885 6912 6970 7101 7200 7290 7344 7380 7650 7776 7872 7890 8000 8100 8160 8200 8262 8364 8416 8500 8640 8748 8856 8942 9000 9180 9225 9468 9600 9720 9792 9840 9963 10125 10200 10250 10368 10455 10496 10520 10783 10800 10880 10935 11016 11070 11152 11475 11520 11664 11808 11835 12000 12150 12240 12300 12393 12546 12624 12750 12960 13056 13120 13150 13284 13413 13500 13600 13770 13940 14202 14400 14580 14688 14760 15300 15375 15552 15744 15780 16000 16200 16320 16400 16524 16605 16728 16832 17000 17280 17425 17496 17712 17884 18000 18225 18360 18450 18819 18936 19125 19200 19440 19584 19680 19725 19926 20250 20400 20500 20655 20736 20910 21040 21303 21566 21600 21760 21870 22032 22140 22304 22355 22950 23328 23616 23670 24000 24300 24480 24600 24786 25092 25248 25500 25920 26240 26300 26568 26826 27000 27200 27540 27675 27880 28404 28800 29160 29376 29520 29889 30375 30600 30750 31104 31365 31488 31560 32000 32349 32400 32640 32800 32875 33048 33210 33456 33664 34000 34425 34560 34850 34992 35424 35505 35768 36000 36450 36720 36900 37179 37638 37872 38250 38880 39168 39360 39450 39852 40239 40500 40800 41000 41310 41820 42080 42606 43132 43200 43740 44064 44280 44608 44710 45900 46125 46656 47232 47340 48000 48600 48960 49200 49572 49815 50184 50496 51000 51840 52275 52480 52600 53136 53652 53915 54000 54400 54675 55080 55350 55760 56457 56808 57375 57600 58320 58752 59040 59175 59778 60750 61200 61500 61965 62208 62730 63120 63909 64698 64800 65280 65600 65750 66096 66420 66912 67065 67328 68000 68850 69700 69984 70848 71010 71536 72000 72900 73440 73800 74358 75276 75744 76500 77760 78720 78900 79704 80478 81000 81600 82000 82620 83025 83640 84160 85212 86264 86400 87125 87480 88128 88560 89216 89420 89667 91125 91800 92250 93312 94095 94464 94680 96000 97047 97200 97920 98400 98625 99144 99630 100368 100992 102000 103275 103680 104550 105200 106272 106515 107304 107830 108000 108800 109350 110160 110700 111520 111775 112914 113616 114750 116640 117504 118080 118350 119556 120717 121500 122400 123000 123930 125460 126240 127818 129396 129600 131200 131500 132192 132840 133824 134130 136000 137700 138375 139400 139968 141696 142020 143072 144000 145800 146880 147600 148716 149445 150552 151488 153000 155520 156825 157440 157800 159408 160956 161745 162000 163200 164000 165240 166050 167280 168320 169371 170424 172125 172528 172800 174250 174960 176256 177120 177525 178432 178840 179334 182250 183311 183600 184500 185895 186624 188190 189360 191727 194094 194400 195840 196800 197250 198288 199260 200736 201195 201984 204000 206550 209100 210400 212544 213030 214608 215660 216000 218700 220320 221400 223040 223550 225828 227232 229500 233280 236160 236700 239112 241434 243000 244800 246000 247860 249075 250920 252480 255636 258792 259200 261375 262400 263000 264384 265680 267648 268260 269575 272000 273375 275400 276750 278800 279936 282285 283392 284040 286144 288000 291141 291600 293760 295200 295875 297432 298890 301104 302976 306000 309825 311040 313650 315600 318816 319545 321912 323490 324000 326400 328000 330480 332100 334560 335325 336640 338742 340848 344250 345056 348500 349920 352512 354240 355050 357680 358668 362151 364500 366622 367200 369000 371790 376380 378720 383454 388188 388800 393600 394500 396576 398520 401472 402390 408000 413100 415125 418200 420800 425088 426060 429216 431320 432000 437400 440640 442800 446080 447100 448335 451656 454464 459000 466560 470475 472320 473400 478224 482868 485235 486000 489600 492000 495720 498150 501840 504960 508113 511272 516375 517584 518400 522750 526000 528768 531360 532575 535296 536520 539150 544000 546750 549933 550800 553500 557600 558875 559872 564570 568080 572288 575181 582282 583200 587520 590400 591750 594864 597780 602208 603585 605952 612000 619650 627300 631200 637632 639090 643824 646980 648000 656000 660960 664200 669120 670650 677484 681696 688500 690112 697000 699840 708480 710100 715360 717336 724302 729000 733244 734400 738000 743580 747225 752760 757440 766908 776376 777600 784125 787200 789000 793152 797040 802944 804780 808725 816000 826200 830250 836400 841600 846855 850176 852120 858432 862640 864000 873423 874800 881280 885600 887625 892160 894200 896670 903312 908928 916555 918000 929475 933120 940950 946800 956448 958635 965736 970470 972000 979200 984000 991440 996300 1003680 1005975 1009920 1016226 1022544 1032750 1035168 1045500 1052000 1057536 1062720 1065150 1073040 1078300 1086453 1093500 1099866 1101600 1107000 1115200 1117750 1129140 1136160 1144576 1150362 1164564 1166400 1180800 1183500 1189728 1195560 1204416 1207170 1224000 1239300 1245375 1254600 1262400 1275264 1278180 1287648 1293960 1296000 1312000 1321920 1328400 1338240 1341300 1347875 1354968 1363392 1377000 1380224 1394000 1399680 1411425 1416960 1420200 1430720 1434672 1448604 1455705 1458000 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3353944320 3476649600 3493692000 3519571200 3563565840 3681158400 3712047750 3773187360 3801136896 3862944000 3911230800 3930403500 3959517600 4009011570 4064904000 4171979520 4192430400 4276279008 4345812000 4399464000 4454457300 4601448000 4658256000 4716484200 4751421120 4877884800 4889038500 4949397000 5030916480 5214974400 5240538000 5279356800 5345348760 5419872000 5568071625 5589907200 5701705344 5794416000 5865952000 5895605250 5939276400 6037099776 6097356000 6135264000 6257969280 6288645600 6335228160 6414418512 6518718000 6599196000 6681685950 6953299200 6987384000 7127131680 7424095500 7546374720 7822461600 7860807000 7919035200 8018023140 8129808000 8384860800 8552558016 8691624000 8798928000 8908914600 9202896000 9316512000 9432968400 9502842240 9755769600 9778077000 9898794000 10022528925 10061832960 10429948800 10481076000 10558713600 10690697520 11136143250 11403410688 11588832000 11791210500 11878552800 12194712000 12515938560 12577291200 12828837024 13037436000 13198392000 13363371900 13974768000 14254263360 14848191000 15092749440 15644923200 15721614000 15838070400 16036046280 16259616000 16704214875 16769721600 17105116032 17383248000 17597856000 17817829200 18405792000 18865936800 19005684480 19556154000 19797588000 20045057850 20859897600 20962152000 21381395040 22272286500 23582421000 23757105600 24389424000 25154582400 25657674048 26074872000 26396784000 26726743800 27949536000 28508526720 29696382000 30185498880 31289846400 31443228000 31676140800 32072092560 33408429750 34210232064 34766496000 35635658400 37731873600 39112308000 39595176000 40090115700 41924304000 42762790080 44544573000 47164842000 47514211200 48778848000 50112644625 50309164800 51315348096 52149744000 52793568000 53453487600 57017053440 59392764000 62579692800 62886456000 64144185120 66816859500 71271316800 75463747200 78224616000 79190352000 80180231400 83848608000 85525580160 89089146000 94329684000 95028422400 100225289250 102630696192 104299488000 106906975200 118785528000 125772912000 128288370240 133633719000 142542633600 150927494400 156449232000 158380704000 160360462800 171051160320 178178292000 188659368000 200450578500 213813950400 237571056000 251545824000 256576740480 267267438000 285085267200 312898464000 320720925600 356356584000 377318736000 400901157000 427627900800 475142112000 513153480960 534534876000 641441851200 712713168000 754637472000 801802314000 855255801600 1069069752000 1282883702400 1425426336000 1603604628000 2138139504000 2565767404800 3207209256000 4276279008000 6414418512000 12828837024000
- Sum of all divisors σ(n): 52184925112320
- Sum of proper divisors (its aliquot sum) s(n): 39356088088320
- 12828837024000 is an abundant number, because the sum of its proper divisors (39356088088320) is greater than itself. Its abundance is 26527251064320
Bases of 12828837024000
- Binary: 101110101010111100100100011000010001000000002
- Hexadecimal: 0xBAAF2461100
- Base-36: 4JPHIC000
Squares and roots of 12828837024000
- 12828837024000 squared (128288370240002) is 164579059388353176576000000
- 12828837024000 cubed (128288370240003) is 2111357930456400026046198349824000000000
-
The
square root of 12828837024000 is 3581736.5933301125 -
The
cube root of 12828837024000 is 23409.6953906095
Scales and comparisons
How big is 12828837024000?- 12,828,837,024,000 seconds is equal to 407,917 years, 17 weeks, 3 days.
-
To count from 1 to 12,828,837,024,000 would take you about one million, nineteen thousand, seven hundred ninety-three 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 12828837024000 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828837024000
- 12828837024000 backwards is 00042073882821
- 12828837024000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12828837024000's digits is 45
- More coming soon!
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"Number 12828837024000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 12828837024000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/12828837024000/
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Numbermatics. 2024. "Number 12828837024000 - Facts about the integer". https://numbermatics.com/n/12828837024000/
The information we have on file for 12828837024000 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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