13688534476800
13,688,534,476,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13688534476800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
13688534476800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13688534476800:
211 × 39 × 52 × 172 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 47)See below for interesting mathematical facts about the number 13688534476800 from the Numbermatics database.
Names of 13688534476800
- Cardinal: 13688534476800 can be written as Thirteen trillion, six hundred eighty-eight billion, five hundred thirty-four million, four hundred seventy-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36885344768 × 1013
Factors of 13688534476800
Divisors of 13688534476800
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 47 48 50 51 54 60 64 68 72 75 80 81 85 90 94 96 100 102 108 120 128 135 136 141 144 150 153 160 162 170 180 188 192 200 204 216 225 235 240 243 255 256 270 272 282 288 289 300 306 320 324 340 360 376 384 400 405 408 423 425 432 450 459 470 480 486 510 512 540 544 564 576 578 600 612 640 648 675 680 705 720 729 752 765 768 799 800 810 816 846 850 864 867 900 918 940 960 972 1020 1024 1080 1088 1128 1152 1156 1175 1200 1215 1224 1269 1275 1280 1296 1350 1360 1377 1410 1440 1445 1458 1504 1530 1536 1598 1600 1620 1632 1692 1700 1728 1734 1800 1836 1880 1920 1944 2025 2040 2048 2115 2160 2176 2187 2256 2295 2304 2312 2350 2397 2400 2430 2448 2538 2550 2560 2592 2601 2700 2720 2754 2820 2880 2890 2916 3008 3060 3072 3196 3200 3240 3264 3384 3400 3456 3468 3525 3600 3645 3672 3760 3807 3825 3840 3888 3995 4050 4080 4131 4230 4320 4335 4352 4374 4512 4590 4608 4624 4700 4794 4800 4860 4896 5076 5100 5120 5184 5202 5400 5440 5508 5640 5760 5780 5832 6016 6075 6120 6144 6345 6392 6400 6480 6528 6561 6768 6800 6885 6912 6936 7050 7191 7200 7225 7290 7344 7520 7614 7650 7680 7776 7803 7990 8100 8160 8262 8460 8640 8670 8704 8748 9024 9180 9216 9248 9400 9588 9600 9720 9792 10152 10200 10240 10368 10404 10575 10800 10880 10935 11016 11280 11421 11475 11520 11560 11664 11985 12032 12150 12240 12393 12690 12784 12800 12960 13005 13056 13122 13536 13583 13600 13770 13824 13872 14100 14382 14400 14450 14580 14688 15040 15228 15300 15360 15552 15606 15980 16200 16320 16524 16920 17280 17340 17408 17496 18048 18225 18360 18432 18496 18800 19035 19176 19200 19440 19584 19683 19975 20304 20400 20655 20736 20808 21150 21573 21600 21675 21760 21870 22032 22560 22842 22950 23040 23120 23328 23409 23970 24064 24300 24480 24786 25380 25568 25600 25920 26010 26112 26244 27072 27166 27200 27540 27648 27744 28200 28764 28800 28900 29160 29376 30080 30456 30600 30720 31104 31212 31725 31960 32400 32640 32805 33048 33840 34263 34425 34560 34680 34816 34992 35955 36096 36450 36720 36992 37179 37600 38070 38352 38400 38880 39015 39168 39366 39950 40608 40749 40800 41310 41472 41616 42300 43146 43200 43350 43520 43740 44064 45120 45684 45900 46080 46240 46656 46818 47940 48128 48600 48960 49572 50760 51136 51200 51840 52020 52224 52488 54144 54332 54400 54675 55080 55296 55488 56400 57105 57528 57600 57800 58320 58752 59925 60160 60912 61200 61965 62208 62424 63450 63920 64719 64800 65025 65280 65610 66096 67680 67915 68526 68850 69120 69360 69984 70227 71910 72192 72900 73440 73984 74358 75200 76140 76704 76800 77760 78030 78336 78732 79900 81216 81498 81600 82620 82944 83232 84600 86292 86400 86700 87040 87480 88128 90240 91368 91800 92160 92480 93312 93636 95175 95880 96256 97200 97920 98415 99144 101520 102272 102789 103275 103680 104040 104448 104976 107865 108288 108664 108800 109350 110160 110976 111537 112800 114210 115056 115200 115600 116640 117045 117504 119850 120320 121824 122247 122400 123930 124416 124848 126900 127840 129438 129600 130050 130560 131220 132192 135360 135830 137052 137700 138240 138720 139968 140454 143820 144384 145800 146880 147968 148716 150400 152280 153408 153600 155520 156060 156672 157464 159800 162432 162996 163200 164025 165240 165888 166464 169200 171315 172584 172800 173400 174080 174960 176256 179775 180480 182736 183600 184960 185895 186624 187272 190350 191760 194157 194400 195075 195840 196830 198288 203040 203745 204544 205578 206550 207360 208080 209952 210681 215730 216576 217328 217600 218700 220320 221952 223074 225600 228420 230112 230400 231200 233280 234090 235008 239700 240640 243648 244494 244800 247860 248832 249696 253800 255680 258876 259200 260100 261120 262440 264384 270720 271660 274104 275400 276480 277440 279936 280908 285525 287640 288768 291600 293760 295936 297432 300800 304560 306816 308367 309825 311040 312120 313344 314928 319600 323595 324864 325992 326400 328050 330480 332928 334611 338400 339575 342630 345168 345600 346800 349920 351135 352512 359550 360960 365472 366741 367200 369920 371790 373248 374544 380700 383520 388314 388800 390150 391680 393660 396576 406080 407490 409088 411156 413100 414720 416160 419904 421362 431460 433152 434656 435200 437400 440640 443904 446148 451200 456840 460224 460800 462400 466560 468180 470016 479400 481280 487296 488988 489600 492075 495720 497664 499392 507600 511360 513945 517752 518400 520200 522240 524880 528768 539325 541440 543320 548208 550800 554880 557685 559872 561816 571050 575280 582471 583200 585225 587520 591872 594864 601600 609120 611235 613632 616734 619650 622080 624240 629856 632043 639200 647190 649728 651984 652800 656100 660960 665856 669222 676800 679150 685260 690336 691200 693600 699840 702270 705024 719100 721920 730944 733482 734400 739840 743580 746496 749088 761400 767040 776628 777600 780300 783360 787320 793152 812160 814980 818176 822312 826200 829440 832320 839808 842724 856575 862920 866304 869312 870400 874800 881280 887808 892296 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91014192 92044800 92510100 93195360 93885696 94806450 95178240 97459200 97797600 98677440 99020070 99408384 99878400 100776960 101126880 103550400 104317440 104844780 105255936 105621408 105753600 107075520 107868672 109641600 110022300 110453760 111834432 111974400 112363200 113767740 114213888 116494200 116951040 117357120 118412928 118824084 118972800 119854080 121352256 122726400 123346800 124260480 125180928 125813736 125971200 126408600 126904320 130396800 131055975 131569920 132026760 132544512 133171200 133844400 134835840 138067200 139089920 139793040 140828544 142209675 142767360 143824896 146188800 146696400 148016160 148530105 149112576 149817600 151690320 155325600 156476160 157267170 157883904 158432112 158630400 161803008 164462400 165033450 165680640 167751648 167961600 168544800 171320832 173862400 174741300 175426560 176035680 178236126 178459200 179781120 182028384 184089600 185020200 186390720 187771392 189612900 190356480 194918400 195595200 197354880 198040140 198816768 199756800 201553920 202253760 207100800 208634880 209689560 210511872 211242816 211507200 214151040 215737344 219283200 220044600 220907520 223668864 224726400 227535480 228427776 232988400 234714240 236825856 237648168 237945600 239708160 242704512 246693600 247550175 248520960 250361856 251627472 251942400 252817200 260793600 262111950 263139840 264053520 267354189 267688800 269671680 276134400 279586080 281657088 284419350 285534720 292377600 293392800 296032320 297060210 298225152 299635200 303380640 310651200 312952320 314534340 315767808 316864224 317260800 323606016 328924800 330066900 331361280 335503296 335923200 337089600 342641664 347724800 349482600 350853120 352071360 356472252 356918400 359562240 364056768 368179200 370040400 372781440 375542784 379225800 380712960 391190400 393167925 394709760 396080280 397633536 399513600 404507520 414201600 417269760 419379120 422485632 428302080 431474688 438566400 440089200 445590315 447337728 449452800 455070960 465976800 469428480 473651712 475296336 475891200 485409024 493387200 495100350 497041920 503254944 503884800 505634400 521587200 524223900 526279680 528107040 534708378 535377600 539343360 552268800 559172160 563314176 568838700 571069440 584755200 586785600 592064640 594120420 596450304 599270400 606761280 621302400 625904640 629068680 631535616 633728448 634521600 647212032 657849600 660133800 662722560 671006592 674179200 685283328 695449600 698965200 704142720 712944504 713836800 719124480 728113536 740080800 742650525 745562880 751085568 758451600 782380800 786335850 789419520 792160560 809015040 828403200 838758240 844971264 856604160 877132800 880178400 891180630 894675456 898905600 910141920 931953600 938856960 947303424 950592672 951782400 970818048 986774400 990200700 994083840 1006509888 1007769600 1011268800 1043174400 1048447800 1052559360 1056214080 1069416756 1070755200 1078686720 1104537600 1118344320 1126628352 1137677400 1142138880 1173571200 1184129280 1188240840 1192900608 1198540800 1213522560 1242604800 1251809280 1258137360 1267456896 1294424064 1315699200 1320267600 1336770945 1342013184 1348358400 1397930400 1408285440 1425889008 1427673600 1456227072 1480161600 1485301050 1491125760 1516903200 1564761600 1572671700 1578839040 1584321120 1618030080 1656806400 1677516480 1689942528 1713208320 1754265600 1760356800 1782361260 1789350912 1797811200 1820283840 1863907200 1877713920 1894606848 1901185344 1903564800 1941636096 1973548800 1980401400 1988167680 2013019776 2022537600 2086348800 2096895600 2112428160 2138833512 2141510400 2157373440 2227951575 2236688640 2253256704 2275354800 2347142400 2368258560 2376481680 2427045120 2485209600 2516274720 2534913792 2631398400 2640535200 2673541890 2684026368 2696716800 2795860800 2816570880 2851778016 2855347200 2912454144 2960323200 2970602100 2982251520 3033806400 3129523200 3145343400 3157678080 3168642240 3236060160 3313612800 3355032960 3379885056 3426416640 3520713600 3564722520 3578701824 3595622400 3640567680 3727814400 3755427840 3802370688 3883272192 3947097600 3960802800 4026039552 4045075200 4193791200 4224856320 4277667024 4283020800 4455903150 4473377280 4550709600 4694284800 4736517120 4752963360 4854090240 4970419200 5032549440 5069827584 5262796800 5281070400 5347083780 5368052736 5393433600 5591721600 5633141760 5703556032 5710694400 5824908288 5920646400 5941204200 5964503040 6067612800 6259046400 6290686800 6337284480 6472120320 6683854725 6710065920 6759770112 7041427200 7129445040 7281135360 7455628800 7604741376 7894195200 7921605600 8052079104 8090150400 8387582400 8449712640 8555334048 8566041600 8911806300 8946754560 9101419200 9388569600 9473034240 9505926720 9708180480 9940838400 10065098880 10139655168 10562140800 10694167560 10736105472 10786867200 11183443200 11266283520 11407112064 11649816576 11841292800 11882408400 12135225600 12581373600 12674568960 13367709450 13420131840 14082854400 14258890080 14562270720 14911257600 15209482752 15788390400 15843211200 16104158208 16180300800 16775164800 16899425280 17110668096 17132083200 17823612600 17893509120 18202838400 18777139200 19011853440 19416360960 20130197760 20279310336 21124281600 21388335120 22366886400 22814224128 23682585600 23764816800 24270451200 25162747200 25349137920 26735418900 26840263680 28165708800 28517780160 29124541440 29822515200 30418965504 31686422400 32208316416 32360601600 33550329600 33798850560 34221336192 35647225200 36405676800 38023706880 40260395520 42248563200 42776670240 44733772800 45628448256 47365171200 47529633600 48540902400 50325494400 50698275840 53470837800 53680527360 56331417600 57035560320 58249082880 60837931008 63372844800 67100659200 68442672384 71294450400 72811353600 76047413760 80520791040 84497126400 85553340480 89467545600 91256896512 95059267200 97081804800 100650988800 101396551680 106941675600 114071120640 126745689600 134201318400 136885344768 142588900800 145622707200 152094827520 161041582080 168994252800 171106680960 182513793024 190118534400 201301977600 213883351200 228142241280 253491379200 268402636800 273770689536 285177801600 291245414400 304189655040 342213361920 380237068800 402603955200 427766702400 456284482560 506982758400 547541379072 570355603200 684426723840 760474137600 805207910400 855533404800 912568965120 1140711206400 1368853447680 1520948275200 1711066809600 2281422412800 2737706895360 3422133619200 4562844825600 6844267238400 13688534476800
- Sum of all divisors σ(n): 55229410716480
- Sum of proper divisors (its aliquot sum) s(n): 41540876239680
- 13688534476800 is an abundant number, because the sum of its proper divisors (41540876239680) is greater than itself. Its abundance is 27852341762880
Bases of 13688534476800
- Binary: 110001110011000111000011110000101000000000002
- Hexadecimal: 0xC731C3C2800
- Base-36: 4UOFC0000
Squares and roots of 13688534476800
- 13688534476800 squared (136885344768002) is 187375976122542249738240000
- 13688534476800 cubed (136885344768003) is 2564902509277473167206534015352832000000
-
The
square root of 13688534476800 is 3699801.9510238653 -
The
cube root of 13688534476800 is 23921.3481266857
Scales and comparisons
How big is 13688534476800?- 13,688,534,476,800 seconds is equal to 435,253 years, 2 weeks, 6 days.
-
To count from 1 to 13,688,534,476,800 would take you about one million, eighty-eight thousand, one hundred thirty-two 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 13688534476800 cubic inches would be around 1993.4 feet tall.
Recreational maths with 13688534476800
- 13688534476800 backwards is 00867443588631
- The number of decimal digits it has is: 14
- The sum of 13688534476800's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 13688534476800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 13688534476800 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13688534476800/
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The information we have on file for 13688534476800 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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