13314042316800
13,314,042,316,800 is an even composite number composed of six prime numbers multiplied together.
13314042316800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13314042316800:
211 × 35 × 52 × 53 × 61 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 53 × 61 × 331)See below for interesting mathematical facts about the number 13314042316800 from the Numbermatics database.
Names of 13314042316800
- Cardinal: 13314042316800 can be written as Thirteen trillion, three hundred fourteen billion, forty-two million, three hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33140423168 × 1013
Factors of 13314042316800
Divisors of 13314042316800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 61 64 72 75 80 81 90 96 100 106 108 120 122 128 135 144 150 159 160 162 180 183 192 200 212 216 225 240 243 244 256 265 270 288 300 305 318 320 324 331 360 366 384 400 405 424 432 450 477 480 486 488 512 530 540 549 576 600 610 636 640 648 662 675 720 732 768 795 800 810 848 864 900 915 954 960 972 976 993 1024 1060 1080 1098 1152 1200 1215 1220 1272 1280 1296 1324 1325 1350 1431 1440 1464 1525 1536 1590 1600 1620 1647 1655 1696 1728 1800 1830 1908 1920 1944 1952 1986 2025 2048 2120 2160 2196 2304 2385 2400 2430 2440 2544 2560 2592 2648 2650 2700 2745 2862 2880 2928 2979 3050 3072 3180 3200 3233 3240 3294 3310 3392 3456 3600 3660 3816 3840 3888 3904 3972 3975 4050 4240 4293 4320 4392 4575 4608 4770 4800 4860 4880 4941 4965 5088 5120 5184 5296 5300 5400 5490 5724 5760 5856 5958 6075 6100 6144 6360 6400 6466 6480 6588 6620 6784 6912 7155 7200 7320 7632 7680 7776 7808 7944 7950 8100 8235 8275 8480 8586 8640 8784 8937 9150 9216 9540 9600 9699 9720 9760 9882 9930 10176 10240 10368 10592 10600 10800 10980 11448 11520 11712 11916 11925 12150 12200 12720 12800 12879 12932 12960 13176 13240 13568 13725 13824 14310 14400 14640 14823 14895 15264 15360 15552 15616 15888 15900 16165 16200 16470 16550 16960 17172 17280 17543 17568 17874 18300 18432 19080 19200 19398 19440 19520 19764 19860 20191 20352 20736 21184 21200 21465 21600 21960 22896 23040 23424 23832 23850 24300 24400 24705 24825 25440 25600 25758 25864 25920 26352 26480 26811 27136 27450 27648 28620 28800 29097 29280 29646 29790 30528 30720 31104 31232 31776 31800 32330 32400 32940 33100 33920 34344 34560 35086 35136 35748 35775 36600 38160 38400 38796 38880 39040 39528 39720 40382 40704 41175 41472 42368 42400 42930 43200 43920 44685 45792 46080 46848 47664 47700 48495 48600 48800 49410 49650 50880 51200 51516 51728 51840 52629 52704 52960 53622 54272 54900 55296 57240 57600 58194 58560 59292 59580 60573 61056 62208 62464 63552 63600 64395 64660 64800 65880 66200 67840 68688 69120 70172 70272 71496 71550 73200 74115 74475 76320 76800 77592 77760 78080 79056 79440 80433 80764 80825 81408 82350 82944 84736 84800 85860 86400 87291 87715 87840 89370 91584 92160 93696 95328 95400 96990 97200 97600 98820 99300 100955 101760 103032 103456 103680 105258 105408 105920 107244 107325 108544 109800 114480 115200 116388 117120 118584 119160 121146 122112 123525 124416 124928 127104 127200 128790 129320 129600 131760 132400 134055 135680 137376 138240 140344 140544 142992 143100 145485 146400 148230 148950 152640 153600 155184 155520 156160 157887 158112 158880 160866 161528 161650 162816 164700 165888 169472 169600 171720 172800 174582 175430 175680 178740 181719 183168 187392 190656 190800 193980 194400 195200 197640 198600 201910 203520 206064 206912 207360 210516 210816 211840 214488 214650 219600 223425 228960 230400 232776 234240 237168 238320 242292 242475 244224 247050 248832 254208 254400 257580 258640 259200 261873 263145 263520 264800 268110 271360 274752 276480 280688 281088 285984 286200 290970 292800 296460 297900 302865 305280 310368 311040 312320 315774 316224 317760 321732 321975 323056 323300 325632 329400 338944 339200 343440 345600 349164 350860 351360 357480 363438 366336 370575 374784 381312 381600 387960 388800 390400 395280 397200 402165 403820 407040 412128 413824 414720 421032 421632 423680 428976 429300 436455 438575 439200 446850 457920 460800 465552 468480 473661 474336 476640 484584 484950 488448 494100 497664 504775 508416 508800 515160 517280 518400 523746 526290 527040 529600 536220 542720 545157 549504 561376 562176 571968 572400 581940 585600 592920 595800 605730 610560 620736 622080 624640 631548 632448 635520 643464 643950 646112 646600 658800 670275 677888 678400 686880 691200 698328 701720 702720 714960 726876 727425 732672 741150 762624 763200 775920 777600 780800 785619 789435 790560 794400 804330 807640 814080 824256 827648 829440 842064 843264 847360 857952 858600 872910 877150 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44692992 44910080 45471456 45757440 46520064 46555200 47366100 47433600 48155535 48458400 49064130 49658880 50279616 50523840 50595840 50841600 51365904 51477120 51688960 52335072 52374600 53506150 53892096 54515700 54908928 54950400 55866240 56137600 56839320 57196800 57786642 58150080 59590656 60628608 62026752 62073600 62849520 63154800 63244800 64207380 64346400 64611200 65418840 65940480 67039488 67365120 68207184 68487872 68636160 69780096 69832800 71049150 72687600 73267200 74488320 75785760 75893760 76262400 77048856 77533440 78502608 78561900 80259225 80838144 81773550 82363392 82425600 82764800 83799360 84206400 84326400 85258980 85609840 85795200 86679963 87225120 89385984 89820160 90942912 91514880 93040128 93110400 94732200 94867200 96311070 96916800 98128260 99317760 100559232 101047680 102731808 102954240 103377920 104670144 104749200 106573725 107012300 107784192 109031400 109900800 111732480 112275200 113678640 114393600 115573284 116300160 121257216 122660325 124053504 124147200 125699040 126309600 126489600 128414760 128692800 129222400 130837680 131880960 134078976 134730240 136414368 136975744 137272320 139560192 139665600 142098300 144466605 145375200 148976640 151571520 151787520 152524800 154097712 155066880 157005216 157123800 160518450 161676288 163547100 164726784 164851200 165529600 167598720 168412800 170517960 171219680 171590400 173359926 174450240 178771968 179640320 181885824 186080256 186220800 189464400 189734400 192622140 193833600 196256520 201118464 202095360 205463616 205908480 206755840 209340288 209498400 213147450 214024600 218062800 219801600 223464960 224550400 227357280 228787200 231146568 232600320 240777675 242514432 245320650 248294400 251398080 252619200 252979200 256829520 257385600 258444800 260039889 261675360 268157952 269460480 272828736 273951488 274544640 279120384 279331200 284196600 288933210 290750400 297953280 303143040 308195424 310133760 314010432 314247600 321036900 323352576 327094200 329702400 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4333998150 4365259776 4469299200 4547145600 4622931360 4652006400 4850288640 4931126784 5024166912 5027961600 5136590400 5200797780 5233507200 5456574720 5479029760 5547517632 5582407680 5778664200 6062860800 6163908480 6280208640 6500997225 6574835712 6703948800 6820718400 6848787200 6934397040 6978009600 7275432960 7396690176 7704885600 7850260800 8044738560 8083814400 8218544640 8321276448 8373611520 8667996300 8730519552 9094291200 9245862720 9304012800 9862253568 10048333824 10055923200 10273180800 10401595560 10467014400 10913149440 10958059520 11095035264 11557328400 12125721600 12327816960 12560417280 13001994450 13407897600 13641436800 13697574400 13868794080 13956019200 14550865920 14793380352 15409771200 15700521600 16437089280 16642552896 16747223040 17335992600 18188582400 18491725440 19724507136 20111846400 20546361600 20803191120 20934028800 21826298880 22190070528 23114656800 24251443200 24655633920 25120834560 26003988900 27282873600 27395148800 27737588160 27912038400 29586760704 30819542400 31401043200 32874178560 33285105792 34671985200 36377164800 36983450880 40223692800 41092723200 41606382240 41868057600 43652597760 44380141056 46229313600 49311267840 50241669120 52007977800 54565747200 54790297600 55475176320 59173521408 61639084800 62802086400 66570211584 69343970400 72754329600 73966901760 82185446400 83212764480 83736115200 88760282112 92458627200 98622535680 104015955600 109131494400 110950352640 123278169600 125604172800 133140423168 138687940800 147933803520 164370892800 166425528960 177520564224 184917254400 208031911200 218262988800 221900705280 246556339200 251208345600 266280846336 277375881600 295867607040 332851057920 369834508800 416063822400 443801410560 493112678400 532561692672 554751763200 665702115840 739669017600 832127644800 887602821120 1109503526400 1331404231680 1479338035200 1664255289600 2219007052800 2662808463360 3328510579200 4438014105600 6657021158400 13314042316800
- Sum of all divisors σ(n): 51361833257280
- Sum of proper divisors (its aliquot sum) s(n): 38047790940480
- 13314042316800 is an abundant number, because the sum of its proper divisors (38047790940480) is greater than itself. Its abundance is 24733748623680
Bases of 13314042316800
- Binary: 110000011011111010101100001101001000000000002
- Hexadecimal: 0xC1BEAC34800
- Base-36: 4PWDX1C00
Squares and roots of 13314042316800
- 13314042316800 squared (133140423168002) is 177263722813541111562240000
- 13314042316800 cubed (133140423168003) is 2360096706772991915396173116997632000000
-
The
square root of 13314042316800 is 3648841.2293219883 -
The
cube root of 13314042316800 is 23701.1804955969
Scales and comparisons
How big is 13314042316800?- 13,314,042,316,800 seconds is equal to 423,345 years, 18 weeks, 6 days.
-
To count from 1 to 13,314,042,316,800 would take you about one million, fifty-eight thousand, three hundred sixty-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 13314042316800 cubic inches would be around 1975.1 feet tall.
Recreational maths with 13314042316800
- 13314042316800 backwards is 00861324041331
- 13314042316800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13314042316800's digits is 36
- More coming soon!
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Numbermatics. (2024). Number 13314042316800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13314042316800/
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The information we have on file for 13314042316800 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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