13328137267200
13,328,137,267,200 is an even composite number composed of seven prime numbers multiplied together.
13328137267200 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 13328137267200:
211 × 33 × 52 × 7 × 19 × 71 × 1021
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 71 × 1021)See below for interesting mathematical facts about the number 13328137267200 from the Numbermatics database.
Names of 13328137267200
- Cardinal: 13328137267200 can be written as Thirteen trillion, three hundred twenty-eight billion, one hundred thirty-seven million, two hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.33281372672 × 1013
Factors of 13328137267200
Divisors of 13328137267200
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 71 72 75 76 80 84 90 95 96 100 105 108 112 114 120 126 128 133 135 140 142 144 150 152 160 168 171 175 180 189 190 192 200 210 213 216 224 225 228 240 252 256 266 270 280 284 285 288 300 304 315 320 336 342 350 355 360 378 380 384 399 400 420 426 432 448 450 456 475 480 497 504 512 513 525 532 540 560 568 570 576 600 608 630 639 640 665 672 675 684 700 710 720 756 760 768 798 800 840 852 855 864 896 900 912 945 950 960 994 1008 1021 1024 1026 1050 1064 1065 1080 1120 1136 1140 1152 1197 1200 1216 1260 1278 1280 1330 1344 1349 1350 1368 1400 1420 1425 1440 1491 1512 1520 1536 1575 1596 1600 1680 1704 1710 1728 1775 1792 1800 1824 1890 1900 1917 1920 1988 1995 2016 2042 2048 2052 2100 2128 2130 2160 2240 2272 2280 2304 2394 2400 2432 2485 2520 2556 2560 2565 2660 2688 2698 2700 2736 2800 2840 2850 2880 2982 3024 3040 3063 3072 3150 3192 3195 3200 3325 3360 3408 3420 3456 3550 3584 3591 3600 3648 3780 3800 3834 3840 3976 3990 4032 4047 4084 4104 4200 4256 4260 4275 4320 4473 4480 4544 4560 4608 4725 4788 4800 4864 4970 5040 5105 5112 5120 5130 5320 5325 5376 5396 5400 5472 5600 5680 5700 5760 5964 5985 6048 6080 6126 6144 6300 6384 6390 6400 6650 6720 6745 6816 6840 6912 7100 7147 7168 7182 7200 7296 7455 7560 7600 7668 7680 7952 7980 8064 8094 8168 8208 8400 8512 8520 8550 8640 8946 8960 9088 9120 9189 9216 9443 9450 9576 9585 9600 9728 9940 9975 10080 10210 10224 10240 10260 10640 10650 10752 10792 10800 10944 11200 11360 11400 11520 11928 11970 12096 12141 12160 12252 12425 12600 12768 12780 12800 12825 13300 13419 13440 13490 13632 13680 13824 14200 14294 14336 14364 14400 14592 14910 15120 15200 15315 15336 15360 15904 15960 15975 16128 16188 16336 16416 16800 17024 17040 17100 17280 17892 17920 17955 18176 18240 18378 18432 18886 18900 19152 19170 19200 19399 19456 19880 19950 20160 20235 20420 20448 20520 21280 21300 21441 21504 21584 21600 21888 22365 22400 22720 22800 23040 23856 23940 24192 24282 24320 24504 24850 25200 25525 25536 25560 25600 25650 26600 26838 26880 26980 27264 27360 27567 27648 28329 28400 28588 28728 28800 29184 29820 29925 30240 30400 30630 30672 30720 31808 31920 31950 32256 32376 32672 32832 33600 33725 34048 34080 34200 34560 35735 35784 35840 35910 36352 36423 36480 36756 37275 37772 37800 38304 38340 38400 38798 38912 39760 39900 40320 40470 40840 40896 41040 42560 42600 42882 43008 43168 43200 43776 44730 44800 45440 45600 45945 46080 47215 47712 47880 47925 48384 48564 48640 49008 49700 50400 51050 51072 51120 51200 51300 53200 53676 53760 53960 54528 54720 55134 55296 56658 56800 57176 57456 57600 58197 58368 59640 59850 60480 60705 60800 61260 61344 63616 63840 63900 64323 64512 64752 65344 65664 67095 67200 67450 68096 68160 68400 69120 71470 71568 71680 71820 72491 72704 72846 72960 73512 74550 75544 75600 76575 76608 76680 76800 77596 79520 79800 80640 80940 81680 81792 82080 84987 85120 85200 85764 86336 86400 87552 89460 89600 89775 90880 91200 91890 92160 94430 95424 95760 95850 96768 96995 97128 97280 98016 99400 100800 101175 102100 102144 102240 102600 106400 107205 107352 107520 107920 109056 109440 110268 111825 113316 113600 114352 114912 115200 116394 116736 119280 119700 120960 121410 121600 122520 122688 127232 127680 127800 128646 129024 129504 130688 131328 134190 134400 134900 135793 136192 136320 136800 137835 138240 141645 142940 143136 143640 144982 145408 145692 145920 147024 149100 151088 151200 153150 153216 153360 153600 155192 159040 159600 161280 161880 163360 163584 164160 169974 170240 170400 171528 172672 172800 174591 175104 178675 178920 179200 179550 181760 182115 182400 183780 188860 190848 191520 191700 192969 193536 193990 194256 194560 196032 198800 201600 202350 204200 204288 204480 205200 212800 214410 214704 215040 215840 217473 218112 218880 220536 223650 226632 227200 228704 229725 229824 230400 232788 236075 238560 239400 241920 242820 243200 245040 245376 254464 254961 255360 255600 257292 259008 261376 262656 268380 268800 269800 271586 272384 272640 273600 275670 276480 283290 285880 286272 287280 289964 290985 291384 291840 294048 298200 302176 302400 303525 306300 306432 306720 310384 318080 319200 321615 322560 323760 326720 327168 328320 335475 339948 340480 340800 343056 345344 345600 349182 350208 357350 357840 358400 359100 362455 363520 364230 364800 367560 377720 381696 383040 383400 385938 387072 387980 388512 392064 397600 403200 404700 407379 408400 408576 408960 410400 424935 425600 428820 429408 431680 434946 436224 437760 441072 447300 453264 454400 457408 459450 459648 460800 465576 472150 477120 478800 483840 484975 485640 486400 490080 490752 507437 508928 509922 510720 511200 514584 518016 522752 523773 525312 536025 536760 537600 539600 543172 545280 547200 551340 566580 571760 572544 574560 579928 581970 582768 583680 588096 596400 604352 604800 607050 612600 612864 613440 620768 636160 638400 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3271680 3283200 3394825 3399480 3404800 3430560 3435264 3453440 3479568 3491820 3528576 3578400 3624550 3626112 3635200 3642300 3659264 3666411 3675600 3677184 3724608 3777200 3816960 3830400 3859380 3879800 3885120 3914514 3920640 3926016 4059496 4073790 4079376 4085760 4089600 4116672 4131987 4144128 4190184 4249350 4288200 4294080 4316800 4345376 4349460 4364775 4377600 4410720 4532640 4566933 4574080 4580352 4596480 4639424 4655760 4662144 4704768 4771200 4824225 4834816 4838400 4856400 4888548 4900800 4907520 4966144 5074370 5089280 5099220 5107200 5145840 5180160 5219352 5227520 5237730 5253120 5367600 5431720 5436825 5439168 5452800 5488896 5509316 5513400 5586912 5665800 5717600 5725440 5745600 5799280 5819700 5827680 5880960 6043520 6089244 6110685 6128640 6134400 6175008 6207680 6216192 6273024 6361600 6374025 6432300 6475200 6518064 6524190 6534400 6543360 6566400 6789650 6798960 6809600 6861120 6870528 6886645 6906880 6959136 6983640 7057152 7156800 7249100 7252224 7284600 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310809600 312867072 313161120 324759680 325903200 326350080 329333760 330558960 334038528 335214720 342519975 343526400 347086908 347630080 347956800 352596224 352857600 357562368 362611200 365354640 365926400 366641100 371153920 371878830 372460800 372971520 385652120 389711616 391083840 391451400 395200512 396670752 405949600 407937600 411667200 413198700 417156096 417548160 419018400 433858635 434537600 435133440 438425568 440745280 445384704 446952960 456693300 462782544 463942400 466214400 469300608 470476800 482065150 483481600 487139520 488854800 494000640 495838440 496614400 501057792 519615488 520630362 521445120 521935200 522160128 528894336 536343552 543916800 548031960 548889600 550931600 556730880 558691200 578478180 584567424 586625760 595006128 595937280 608924400 617043392 617500800 619798050 621619200 625734144 626322240 649519360 651806400 652700160 658667520 661117920 668077056 670429440 685039950 687052800 694173816 695260160 695913600 705192448 705715200 723097725 725222400 730709280 733282200 742307840 743757660 744921600 771304240 779423232 782167680 782902800 793341504 811899200 815875200 823334400 826397400 834312192 835096320 838036800 867717270 869075200 870266880 876851136 881490560 893905920 913386600 925565088 927884800 929697075 932428800 938601216 964130300 974279040 977709600 988001280 991676880 993228800 1002115584 1039230976 1041260724 1042890240 1043870400 1057788672 1072687104 1087833600 1096063920 1097779200 1101863200 1113461760 1117382400 1156956360 1169134848 1173251520 1190012256 1217848800 1234086784 1235001600 1239596100 1251468288 1252644480 1299038720 1301575905 1303612800 1305400320 1322235840 1336154112 1340858880 1370079900 1388347632 1390520320 1391827200 1410384896 1411430400 1446195450 1450444800 1461418560 1466564400 1487515320 1489843200 1542608480 1558846464 1564335360 1565805600 1586683008 1623798400 1631750400 1646668800 1652794800 1670192640 1676073600 1735434540 1738150400 1753702272 1762981120 1787811840 1826773200 1851130176 1855769600 1859394150 1864857600 1877202432 1928260600 1948558080 1955419200 1976002560 1983353760 2004231168 2082521448 2085780480 2087740800 2115577344 2169293175 2175667200 2192127840 2203726400 2226923520 2234764800 2313912720 2338269696 2346503040 2380024512 2435697600 2468173568 2470003200 2479192200 2502936576 2505288960 2598077440 2603151810 2607225600 2610800640 2644471680 2681717760 2740159800 2776695264 2783654400 2820769792 2892390900 2922837120 2933128800 2975030640 2979686400 3085216960 3117692928 3128670720 3131611200 3173366016 3247596800 3263500800 3293337600 3305589600 3340385280 3352147200 3470869080 3476300800 3507404544 3525962240 3653546400 3702260352 3711539200 3718788300 3754404864 3856521200 3897116160 3910838400 3966707520 4008462336 4165042896 4171560960 4175481600 4231154688 4338586350 4351334400 4384255680 4407452800 4469529600 4627825440 4676539392 4693006080 4760049024 4871395200 4936347136 4940006400 4958384400 5010577920 5196154880 5206303620 5214451200 5288943360 5363435520 5480319600 5553390528 5567308800 5784781800 5845674240 5866257600 5950061280 6170433920 6257341440 6263222400 6346732032 6495193600 6507879525 6527001600 6611179200 6680770560 6704294400 6941738160 6952601600 7014809088 7051924480 7307092800 7404520704 7437576600 7508809728 7713042400 7794232320 7821676800 7933415040 8330085792 8350963200 8462309376 8677172700 8768511360 8814905600 8939059200 9255650880 9353078784 9386012160 9520098048 9742790400 9872694272 9880012800 9916768800 10021155840 10412607240 10428902400 10577886720 10960639200 11106781056 11134617600 11569563600 11691348480 11732515200 11900122560 12340867840 12514682880 12526444800 12693464064 12990387200 13015759050 13054003200 13222358400 13408588800 13883476320 14029618176 14103848960 14614185600 14809041408 14875153200 15426084800 15588464640 15643353600 15866830080 16660171584 16701926400 17354345400 17537022720 17629811200 18511301760 18772024320 19040196096 19485580800 19745388544 19833537600 20042311680 20825214480 20857804800 21155773440 21921278400 22213562112 23139127200 23382696960 23465030400 23800245120 24681735680 25052889600 25386928128 25980774400 26031518100 26444716800 26817177600 27766952640 28059236352 29228371200 29618082816 29750306400 30852169600 31286707200 31733660160 33320343168 33403852800 34708690800 35074045440 35259622400 37022603520 37544048640 38080392192 38971161600 39667075200 41650428960 42311546880 43842556800 44427124224 46278254400 46765393920 46930060800 47600490240 49363471360 50105779200 52063036200 52889433600 55533905280 58456742400 59236165632 59500612800 61704339200 62573414400 63467320320 66640686336 69417381600 70148090880 70519244800 74045207040 76160784384 77942323200 79334150400 83300857920 87685113600 88854248448 92556508800 93860121600 95200980480 98726942720 100211558400 104126072400 105778867200 111067810560 116913484800 119001225600 123408678400 126934640640 133281372672 138834763200 140296181760 148090414080 158668300800 166601715840 175370227200 177708496896 185113017600 187720243200 190401960960 208252144800 211557734400 222135621120 233826969600 238002451200 246817356800 266562745344 277669526400 296180828160 317336601600 333203431680 350740454400 370226035200 380803921920 416504289600 444271242240 476004902400 493634713600 533125490688 555339052800 634673203200 666406863360 701480908800 740452070400 833008579200 888542484480 952009804800 1110678105600 1332813726720 1480904140800 1666017158400 1904019609600 2221356211200 2665627453440 3332034316800 4442712422400 6664068633600 13328137267200
- Sum of all divisors σ(n): 59783173632000
- Sum of proper divisors (its aliquot sum) s(n): 46455036364800
- 13328137267200 is an abundant number, because the sum of its proper divisors (46455036364800) is greater than itself. Its abundance is 33126899097600
Bases of 13328137267200
- Binary: 110000011111001100101110001100101000000000002
- Hexadecimal: 0xC1F32E32800
- Base-36: 4Q2V0T1C0
Squares and roots of 13328137267200
- 13328137267200 squared (133281372672002) is 177639243013325484195840000
- 13328137267200 cubed (133281372672003) is 2367600214923100612114059727208448000000
-
The
square root of 13328137267200 is 3650772.1467108845 -
The
cube root of 13328137267200 is 23709.5413209033
Scales and comparisons
How big is 13328137267200?- 13,328,137,267,200 seconds is equal to 423,793 years, 28 weeks.
-
To count from 1 to 13,328,137,267,200 would take you about one million, fifty-nine thousand, four hundred eighty-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 13328137267200 cubic inches would be around 1975.8 feet tall.
Recreational maths with 13328137267200
- 13328137267200 backwards is 00276273182331
- 13328137267200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13328137267200's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 13328137267200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13328137267200/
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Numbermatics. 2024. "Number 13328137267200 - Facts about the integer". https://numbermatics.com/n/13328137267200/
The information we have on file for 13328137267200 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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