1338003967104
1,338,003,967,104 is an even composite number composed of six prime numbers multiplied together.
1338003967104 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 1338003967104:
27 × 32 × 7 × 17 × 43 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 43 × 61 × 61 × 61)See below for interesting mathematical facts about the number 1338003967104 from the Numbermatics database.
Names of 1338003967104
- Cardinal: 1338003967104 can be written as One trillion, three hundred thirty-eight billion, three million, nine hundred sixty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.338003967104 × 1012
Factors of 1338003967104
Divisors of 1338003967104
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 43 48 51 56 61 63 64 68 72 84 86 96 102 112 119 122 126 128 129 136 144 153 168 172 183 192 204 224 238 244 252 258 272 288 301 306 336 344 357 366 384 387 408 427 448 476 488 504 516 544 549 576 602 612 672 688 714 731 732 774 816 854 896 903 952 976 1008 1032 1037 1071 1088 1098 1152 1204 1224 1281 1344 1376 1428 1462 1464 1548 1632 1708 1806 1904 1952 2016 2064 2074 2142 2176 2193 2196 2408 2448 2562 2623 2688 2709 2752 2856 2924 2928 3096 3111 3264 3416 3612 3721 3808 3843 3904 4032 4128 4148 4284 4386 4392 4816 4896 5117 5124 5246 5418 5504 5712 5848 5856 6192 6222 6528 6579 6832 7224 7259 7442 7616 7686 7808 7869 8064 8256 8296 8568 8772 8784 9333 9632 9792 10234 10248 10492 10836 11163 11424 11696 11712 12384 12444 13158 13664 14448 14518 14884 15232 15351 15372 15738 16512 16592 17136 17544 17568 18361 18666 19264 19584 20468 20496 20984 21672 21777 22326 22848 23392 23424 23607 24768 24888 26047 26316 27328 28896 29036 29768 30702 30744 31476 33184 33489 34272 35088 35136 36722 37332 38528 40936 40992 41968 43344 43554 44591 44652 45696 46053 46784 47214 49536 49776 52094 52632 54656 55083 57792 58072 59536 61404 61488 62952 63257 65331 66368 66978 68544 70176 70272 73444 74664 78141 81872 81984 83936 86688 87108 89182 89304 92106 93568 94428 99552 104188 105264 110166 115584 116144 119072 122808 122976 125904 126514 130662 132736 133773 133956 137088 140352 146888 149328 156282 160003 163744 163968 165249 167872 173376 174216 178364 178608 184212 188856 189771 199104 208376 210528 220332 226981 232288 234423 238144 245616 245952 251808 253028 261324 267546 267912 280704 293776 298656 312137 312564 320006 327488 330498 335744 346752 348432 356728 357216 368424 377712 379542 398208 401319 416752 421056 440664 442799 453962 464576 468846 476288 480009 491232 491904 503616 506056 522648 535092 535824 569313 587552 597312 624274 625128 640012 654976 660996 680943 696864 713456 714432 736848 755424 759084 802638 833504 842112 881328 885598 907924 929152 936411 937692 960018 982464 1007232 1012112 1045296 1070184 1071648 1120021 1138626 1175104 1194624 1248548 1250256 1280024 1321992 1328397 1361886 1393728 1426912 1428864 1440027 1473696 1510848 1518168 1588867 1605276 1667008 1762656 1771196 1815848 1872822 1875384 1920036 1964928 2024224 2042829 2090592 2140368 2143296 2240042 2277252 2350208 2497096 2500512 2560048 2643984 2656794 2720051 2723772 2787456 2809233 2853824 2880054 2947392 3021696 3036336 3177734 3210552 3334016 3360063 3525312 3542392 3631696 3745644 3750768 3840072 3858677 3985191 4048448 4085658 4181184 4280736 4286592 4480084 4554504 4766601 4994192 5001024 5120096 5287968 5313588 5440102 5447544 5618466 5707648 5760108 5894784 6072672 6355468 6421104 6720126 7050624 7084784 7263392 7491288 7501536 7680144 7717354 7970382 8096896 8160153 8171316 8362368 8561472 8960168 9109008 9533202 9760183 9988384 10002048 10080189 10240192 10575936 10627176 10880204 10895088 11236932 11520216 11576031 12145344 12710936 12842208 13440252 14169568 14299803 14526784 14982576 15003072 15360288 15434708 15940764 16320306 16342632 17122944 17920336 18218016 19040357 19066404 19520366 19976768 20160378 20480384 21151872 21254352 21760408 21790176 22473864 23040432 23152062 24290688 24480459 25421872 25684416 26880504 27010739 28339136 28599606 29053568 29280549 29965152 30006144 30720576 30869416 31881528 32640612 32685264 34728093 35840672 36436032 38080714 38132808 39040732 39953536 40320756 42508704 43520816 43580352 44947728 46080864 46304124 48960918 50843744 51368832 53761008 54021478 56678272 57121071 57199212 58561098 59930304 61441152 61738832 63763056 65281224 65370528 68321281 69456186 71681344 72872064 76161428 76265616 78081464 80641512 81032217 85017408 87041632 87160704 87841647 89895456 92161728 92608248 97921836 101687488 107522016 108042956 114242142 114398424 117122196 119860608 123477664 127526112 130562448 130741056 136642562 138912372 143362688 152322856 152531232 156162928 161283024 162064434 165923111 170034816 171363213 174083264 175683294 179790912 184323456 185216496 195843672 203374976 204963843 215044032 216085912 228484284 228796848 234244392 243096651 246955328 255052224 261124896 261482112 273285124 277824744 304645712 305062464 312325856 322566048 324128868 331846222 342726426 348166528 351366588 359581824 370432992 391687344 409927686 430088064 432171824 456968568 457593696 468488784 486193302 493910656 497769333 510104448 522249792 546570248 555649488 609291424 610124928 614891529 624651712 645132096 648257736 663692444 685452852 702733176 740865984 783374688 819855372 864343648 913937136 915187392 936977568 972386604 995538666 1044499584 1093140496 1111298976 1161461777 1218582848 1229783058 1249303424 1290264192 1296515472 1327384888 1370905704 1405466352 1481731968 1493307999 1566749376 1639710744 1728687296 1827874272 1830374784 1873955136 1944773208 1991077332 2186280992 2222597952 2322923554 2437165696 2459566116 2593030944 2654769776 2741811408 2810932704 2986615998 3133498752 3279421488 3457374592 3484385331 3655748544 3747910272 3889546416 3982154664 4372561984 4445195904 4645847108 4919132232 5186061888 5309539552 5483622816 5621865408 5973231996 6558842976 6968770662 7311497088 7779092832 7964309328 8745123968 9291694216 9838264464 10372123776 10453155993 10619079104 10967245632 11243730816 11946463992 13117685952 13937541324 15558185664 15928618656 18583388432 19676528928 20906311986 21238158208 21934491264 23892927984 26235371904 27875082648 31116371328 31857237312 37166776864 39353057856 41812623972 47785855968 55750165296 63714474624 74333553728 78706115712 83625247944 95571711936 111500330592 148667107456 167250495888 191143423872 223000661184 334500991776 446001322368 669001983552 1338003967104
- Sum of all divisors σ(n): 4846930133760
- Sum of proper divisors (its aliquot sum) s(n): 3508926166656
- 1338003967104 is an abundant number, because the sum of its proper divisors (3508926166656) is greater than itself. Its abundance is 2170922199552
Bases of 1338003967104
- Binary: 100110111100001110100000001001100100000002
- Hexadecimal: 0x13787404C80
- Base-36: H2O50KG0
Squares and roots of 1338003967104
- 1338003967104 squared (13380039671042) is 1790254615986041914146816
- 1338003967104 cubed (13380039671043) is 2395367778315572177819261587490340864
-
The
square root of 1338003967104 is 1156721.2140805579 -
The
cube root of 1338003967104 is 11019.2609297681
Scales and comparisons
How big is 1338003967104?- 1,338,003,967,104 seconds is equal to 42,544 years, 20 weeks, 1 day, 38 minutes, 24 seconds.
-
To count from 1 to 1,338,003,967,104 would take you about one hundred six thousand, three hundred sixty 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 1338003967104 cubic inches would be around 918.3 feet tall.
Recreational maths with 1338003967104
- 1338003967104 backwards is 4017693008331
- The number of decimal digits it has is: 13
- The sum of 1338003967104's digits is 45
- More coming soon!
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