131966984001024
131,966,984,001,024 is an even composite number composed of six prime numbers multiplied together.
What does the number 131966984001024 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 800 divisors.
131966984001024 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 131966984001024:
29 × 34 × 19 × 31 × 2143 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 31 × 2143 × 2521)See below for interesting mathematical facts about the number 131966984001024 from the Numbermatics database.
Names of 131966984001024
- Cardinal: 131966984001024 can be written as One hundred thirty-one trillion, nine hundred sixty-six billion, nine hundred eighty-four million, one thousand and twenty-four.
Scientific notation
- Scientific notation: 1.31966984001024 × 1014
Factors of 131966984001024
Divisors of 131966984001024
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 72 76 81 93 96 108 114 124 128 144 152 162 171 186 192 216 228 248 256 279 288 304 324 342 372 384 432 456 496 512 513 558 576 589 608 648 684 744 768 837 864 912 992 1026 1116 1152 1178 1216 1296 1368 1488 1536 1539 1674 1728 1767 1824 1984 2052 2143 2232 2304 2356 2432 2511 2521 2592 2736 2976 3078 3348 3456 3534 3648 3968 4104 4286 4464 4608 4712 4864 5022 5042 5184 5301 5472 5952 6156 6429 6696 6912 7068 7296 7563 7936 8208 8572 8928 9424 9728 10044 10084 10368 10602 10944 11904 12312 12858 13392 13824 14136 14592 15126 15872 15903 16416 17144 17856 18848 19287 20088 20168 20736 21204 21888 22689 23808 24624 25716 26784 28272 29184 30252 31806 32832 34288 35712 37696 38574 40176 40336 40717 41472 42408 43776 45378 47616 47709 47899 49248 51432 53568 56544 57861 60504 63612 65664 66433 68067 68576 71424 75392 77148 78151 80352 80672 81434 84816 87552 90756 95418 95798 98496 102864 107136 113088 115722 121008 122151 127224 131328 132866 136134 137152 142848 143697 150784 154296 156302 160704 161344 162868 169632 173583 181512 190836 191596 196992 199299 204201 205728 214272 226176 231444 234453 242016 244302 254448 262656 265732 272268 274304 287394 301568 308592 312604 321408 322688 325736 339264 347166 363024 366453 381672 383192 393984 398598 408402 411456 428544 431091 452352 462888 468906 484032 488604 508896 531464 544536 548608 574788 597897 617184 625208 642816 645376 651472 678528 694332 703359 726048 732906 763344 766384 787968 797196 816804 822912 862182 904704 925776 937812 968064 977208 1017792 1062928 1089072 1097216 1099359 1149576 1195794 1234368 1250416 1262227 1285632 1290752 1293273 1302944 1357056 1388664 1406718 1452096 1465812 1484869 1526688 1532768 1594392 1633608 1645824 1724364 1793691 1851552 1875624 1936128 1954416 2035584 2110077 2125856 2178144 2198718 2299152 2391588 2468736 2500832 2524454 2586546 2605888 2714112 2777328 2813436 2904192 2931624 2969738 3053376 3065536 3188784 3267216 3291648 3298077 3448728 3587382 3703104 3751248 3786681 3872256 3879819 3908832 4071168 4220154 4251712 4356288 4397436 4454607 4598304 4783176 4937472 5001664 5048908 5173092 5211776 5381073 5402503 5554656 5626872 5808384 5863248 5939476 6106752 6131072 6330231 6377568 6534432 6596154 6897456 7174764 7406208 7502496 7573362 7759638 7817664 8142336 8440308 8503424 8712576 8794872 8909214 9196608 9566352 9874944 10003328 10097816 10346184 10423552 10762146 10805006 11109312 11253744 11360043 11616768 11726496 11878952 12213504 12262144 12660462 12755136 13068864 13192308 13363821 13794912 14349528 14812416 15004992 15146724 15519276 15635328 16207509 16880616 17006848 17425152 17589744 17818428 18393216 19132704 20006656 20195632 20692368 20847104 21524292 21610012 22218624 22507488 22720086 23452992 23757904 24427008 24524288 25320924 25510272 26137728 26384616 26727642 27589824 28699056 29624832 30009984 30293448 31038552 31270656 32415018 33761232 34013696 34080129 34850304 35179488 35636856 36786432 38265408 40013312 40091463 40391264 41384736 43048584 43220024 44437248 45014976 45440172 46905984 47515808 48622527 50641848 51020544 52275456 52769232 53455284 55179648 57398112 60019968 60586896 62077104 62541312 64830036 67522464 68160258 70358976 71273712 73572864 76530816 80182926 80782528 82769472 86097168 86440048 88874496 90029952 90880344 93811968 95031616 97245054 101283696 102041088 102240387 102647557 104550912 105538464 106910568 110359296 114796224 120039936 120274389 121173792 124154208 129660072 135044928 136320516 140717952 142547424 145867581 153061632 160365852 161565056 165538944 167477593 172194336 172880096 180059904 181760688 187623936 190063232 194490108 202567392 204480774 205295114 211076928 213821136 220718592 229592448 240548778 242347584 248308416 259320144 270089856 272641032 281435904 285094848 291735162 306123264 307942671 320731704 323130112 331077888 334955186 344388672 345760192 360119808 363521376 380126464 388980216 405134784 408961548 410590228 422153856 427642272 437602743 459184896 481097556 484695168 496616832 502432779 518640288 540179712 545282064 562871808 570189696 583470324 615885342 641463408 646260224 662155776 669910372 688777344 691520384 727042752 760252928 777960432 810269568 817923096 821180456 844307712 855284544 875205486 918369792 923828013 962195112 969390336 993233664 1004865558 1037280576 1080359424 1090564128 1140379392 1166940648 1231770684 1282926816 1339820744 1377554688 1383040768 1454085504 1507298337 1555920864 1620539136 1635846192 1642360912 1688615424 1710569088 1750410972 1847656026 1924390224 1938780672 1986467328 2009731116 2074561152 2181128256 2280758784 2333881296 2463541368 2565853632 2679641488 2755109376 2766081536 2771484039 2908171008 3014596674 3111841728 3182074267 3241078272 3271692384 3284721824 3421138176 3500821944 3695312052 3848780448 4019462232 4149122304 4362256512 4521895011 4667762592 4927082736 5131707264 5359282976 5542968078 5816342016 6029193348 6223683456 6364148534 6543384768 6569443648 6842276352 7001643888 7390624104 7697560896 8038924464 8298244608 8314452117 8724513024 9043790022 9335525184 9546222801 9854165472 10263414528 10718565952 11085936156 12058386696 12447366912 12728297068 13086769536 13138887296 13565685033 14003287776 14781248208 15395121792 16077848928 16628904234 17449026048 18087580044 18671050368 19092445602 19708330944 20526829056 21437131904 22171872312 24116773392 24894733824 25456594136 26173539072 26277774592 27131370066 28006575552 28638668403 29562496416 30790243584 32155697856 33257808468 36175160088 37342100736 38184891204 39416661888 42874263808 44343744624 48233546784 50913188272 52347078144 52555549184 54262740132 56013151104 57277336806 59124992832 61580487168 64311395712 66515616936 72350320176 74684201472 76369782408 78833323776 85748527616 85916005209 88687489248 96467093568 101826376544 108525480264 112026302208 114554673612 118249985664 128622791424 133031233872 144700640352 152739564816 157666647552 171832010418 177374978496 192934187136 203652753088 217050960528 224052604416 229109347224 236499971328 257245582848 257748015627 266062467744 289401280704 305479129632 343664020836 354749956992 385868374272 407305506176 434101921056 458218694448 472999942656 515496031254 532124935488 578802561408 610958259264 687328041672 709499913984 771736748544 814611012352 868203842112 916437388896 1030992062508 1064249870976 1157605122816 1221916518528 1374656083344 1418999827968 1629222024704 1736407684224 1832874777792 2061984125016 2128499741952 2315210245632 2443833037056 2749312166688 3472815368448 3665749555584 4123968250032 4256999483904 4887666074112 5498624333376 6945630736896 7331499111168 8247936500064 10997248666752 14662998222336 16495873000128 21994497333504 32991746000256 43988994667008 65983492000512 131966984001024
- Sum of all divisors σ(n): 428361904988160
- Sum of proper divisors (its aliquot sum) s(n): 296394920987136
- 131966984001024 is an abundant number, because the sum of its proper divisors (296394920987136) is greater than itself. Its abundance is 164427936986112
Bases of 131966984001024
- Binary: 111100000000101111101010011010000010110000000002
- Hexadecimal: 0x7805F5341600
- Base-36: 1AS0SMZK00
Squares and roots of 131966984001024
- 131966984001024 squared (1319669840010242) is 17415284866326524383233048576
- 131966984001024 cubed (1319669840010243) is 2298242619327787833760843950668645425741824
-
The
square root of 131966984001024 is 11487688.3662912793 -
The
cube root of 131966984001024 is 50912.1882493771
Scales and comparisons
How big is 131966984001024?- 131,966,984,001,024 seconds is equal to 4,196,141 years, 46 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 131,966,984,001,024 would take you about ten million, four hundred ninety thousand, three hundred fifty-four 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 131966984001024 cubic inches would be around 4242.7 feet tall.
Recreational maths with 131966984001024
- 131966984001024 backwards is 420100489669131
- 131966984001024 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131966984001024's digits is 54
- More coming soon!
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The information we have on file for 131966984001024 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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