1828628131200
1,828,628,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 1828628131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
1828628131200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1828628131200:
27 × 3 × 52 × 133 × 277 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 277 × 313)See below for interesting mathematical facts about the number 1828628131200 from the Numbermatics database.
Names of 1828628131200
- Cardinal: 1828628131200 can be written as One trillion, eight hundred twenty-eight billion, six hundred twenty-eight million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.8286281312 × 1012
Factors of 1828628131200
Divisors of 1828628131200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 169 192 195 200 208 240 260 277 300 312 313 320 325 338 384 390 400 416 480 507 520 554 600 624 626 640 650 676 780 800 831 832 845 939 960 975 1014 1040 1108 1200 1248 1252 1300 1352 1385 1560 1565 1600 1662 1664 1690 1878 1920 1950 2028 2080 2197 2216 2400 2496 2504 2535 2600 2704 2770 3120 3130 3200 3324 3380 3601 3756 3900 4056 4069 4155 4160 4225 4394 4432 4695 4800 4992 5008 5070 5200 5408 5540 6240 6260 6591 6648 6760 6925 7202 7512 7800 7825 8112 8138 8310 8320 8450 8788 8864 9390 9600 10016 10140 10400 10803 10816 10985 11080 12207 12480 12520 12675 13182 13296 13520 13850 14404 15024 15600 15650 16224 16276 16620 16900 17576 17728 18005 18780 20032 20280 20345 20775 20800 21606 21632 21970 22160 23475 24414 24960 25040 25350 26364 26592 27040 27700 28808 30048 31200 31300 32448 32552 32955 33240 33800 35152 35456 36010 37560 40064 40560 40690 41550 41600 43212 43940 44320 46813 46950 48828 50080 50700 52728 52897 53184 54015 54080 54925 55400 57616 60096 61035 62400 62600 64896 65104 65910 66480 67600 70304 72020 75120 81120 81380 83100 86424 86701 87880 88640 90025 93626 93900 97656 100160 101400 101725 105456 105794 106368 108030 108160 109850 110800 115232 120192 122070 124800 125200 130208 131820 132960 135200 140439 140608 144040 150240 158691 162240 162760 164775 166200 172848 173402 175760 177280 180050 187252 187800 195312 200320 202800 203450 210912 211588 216060 219700 221600 230464 234065 244140 250400 260103 260416 263640 264485 265920 270075 270400 280878 281216 288080 300480 305175 317382 324480 325520 329550 332400 345696 346804 351520 360100 374504 375600 390624 405600 406900 421824 423176 432120 433505 439400 443200 460928 468130 488280 500800 520206 520832 527280 528970 531840 540150 540800 561756 576160 600960 608569 610350 634764 651040 659100 664800 687661 691392 693608 702195 703040 720200 749008 751200 781248 793455 811200 813800 843648 846352 864240 867010 878800 886400 936260 976560 1001600 1040412 1054560 1057940 1080300 1123512 1127113 1152320 1170325 1217138 1220700 1269528 1300515 1302080 1318200 1322425 1329600 1375322 1382784 1387216 1404390 1406080 1440400 1498016 1502400 1562496 1586910 1622400 1627600 1692704 1728480 1734020 1757600 1825707 1872520 1953120 2062983 2080824 2109120 2115880 2160600 2167525 2247024 2254226 2304640 2340650 2434276 2441400 2539056 2601030 2604160 2636400 2644850 2659200 2750644 2774432 2808780 2880800 2996032 3004800 3042845 3173820 3255200 3381339 3385408 3438305 3456960 3468040 3510975 3515200 3651414 3745040 3906240 3967275 4125966 4161648 4218240 4231760 4321200 4335050 4494048 4508452 4681300 4868552 4882800 5078112 5202060 5272800 5289700 5501288 5548864 5617560 5635565 5761600 5992064 6085690 6347640 6502575 6510400 6762678 6770816 6876610 6913920 6936080 7021950 7030400 7302828 7490080 7812480 7934550 8251932 8323296 8463520 8642400 8670100 8988096 9016904 9128535 9362600 9737104 9765600 10156224 10314915 10404120 10545600 10579400 11002576 11097728 11235120 11271130 11523200 12171380 12695280 13005150 13020800 13525356 13753220 13872160 14043900 14605656 14652469 14980160 15214225 15869100 16503864 16646592 16906695 16927040 17191525 17284800 17340200 17976192 18033808 18257070 18725200 19474208 19531200 20312448 20629830 20808240 21091200 21158800 22005152 22470240 22542260 24342760 25390560 26010300 27050712 27506440 27744320 28087800 28177825 29211312 29304938 29960320 30428450 31738200 33007728 33293184 33813390 33854080 34383050 34569600 34680400 36067616 36514140 37450400 38948416 39062400 41259660 41616480 42317600 43957407 44010304 44940480 45084520 45642675 48685520 50781120 51574575 52020600 54101424 55012880 55488640 56175600 56355650 58422624 58609876 60856900 63476400 66015456 67626780 68766100 69360800 72135232 73028280 73262345 74900800 77896832 82519320 83232960 84533475 84635200 87914814 88020608 89880960 90169040 91285350 97371040 101562240 103149150 104041200 108202848 110025760 112351200 112711300 116845248 117219752 121713800 126952800 132030912 135253560 137532200 138721600 144270464 146056560 146524690 149801600 165038640 166465920 169066950 169270400 175829628 180338080 182570700 190482097 194742080 206298300 208082400 216405696 219787035 220051520 224702400 225422600 233690496 234439504 243427600 253905600 264061824 270507120 275064400 277443200 292113120 293049380 330077280 338133900 351659256 360676160 365141400 366311725 380964194 389484160 412596600 416164800 432811392 439574070 440103040 449404800 450845200 468879008 486855200 507811200 541014240 550128800 571446291 584226240 586098760 660154560 676267800 703318512 721352320 730282800 732623450 761928388 825193200 832329600 879148140 901690400 937758016 952410485 973710400 1082028480 1098935175 1100257600 1142892582 1168452480 1172197520 1320309120 1352535600 1406637024 1460565600 1465246900 1523856776 1650386400 1758296280 1803380800 1875516032 1904820970 1947420800 2164056960 2197870350 2200515200 2285785164 2344395040 2705071200 2813274048 2857231455 2921131200 2930493800 3047713552 3300772800 3516592560 3606761600 3809641940 4395740700 4571570328 4688790080 4762052425 5410142400 5626548096 5714462910 5842262400 5860987600 6095427104 6601545600 7033185120 7619283880 8791481400 9143140656 9377580160 9524104850 10820284800 11428925820 11721975200 12190854208 14066370240 14286157275 15238567760 17582962800 18286281312 19048209700 22857851640 23443950400 24381708416 28132740480 28572314550 30477135520 35165925600 36572562624 38096419400 45715703280 46887900800 57144629100 60954271040 70331851200 73145125248 76192838800 91431406560 114289258200 121908542080 140663702400 152385677600 182862813120 228578516400 304771355200 365725626240 457157032800 609542710400 914314065600 1828628131200
- Sum of all divisors σ(n): 6569211835200
- Sum of proper divisors (its aliquot sum) s(n): 4740583704000
- 1828628131200 is an abundant number, because the sum of its proper divisors (4740583704000) is greater than itself. Its abundance is 2911955572800
Bases of 1828628131200
- Binary: 110101001110000101011101011101101100000002
- Hexadecimal: 0x1A9C2BAED80
- Base-36: NC25Z4AO
Squares and roots of 1828628131200
- 1828628131200 squared (18286281312002) is 3343880842216004413440000
- 1828628131200 cubed (18286281312003) is 6114714575456934217279739363328000000
-
The
square root of 1828628131200 is 1352267.7734827521 -
The
cube root of 1828628131200 is 12228.5547461393
Scales and comparisons
How big is 1828628131200?- 1,828,628,131,200 seconds is equal to 58,144 years, 37 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 1,828,628,131,200 would take you about one hundred forty-five thousand, three hundred sixty-one 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 1828628131200 cubic inches would be around 1019 feet tall.
Recreational maths with 1828628131200
- 1828628131200 backwards is 0021318268281
- The number of decimal digits it has is: 13
- The sum of 1828628131200's digits is 42
- More coming soon!
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