13880288145908800
13,880,288,145,908,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13880288145908800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2646 divisors.
13880288145908800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty-six divisors.
Prime factorization of 13880288145908800:
26 × 52 × 72 × 116 × 372 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 37 × 37 × 73)See below for interesting mathematical facts about the number 13880288145908800 from the Numbermatics database.
Names of 13880288145908800
- Cardinal: 13880288145908800 can be written as Thirteen quadrillion, eight hundred eighty trillion, two hundred eighty-eight billion, one hundred forty-five million, nine hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38802881459088 × 1016
Factors of 13880288145908800
Divisors of 13880288145908800
- Number of divisors d(n): 2646
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 44 49 50 55 56 64 70 73 74 77 80 88 98 100 110 112 121 140 146 148 154 160 175 176 185 196 200 220 224 242 245 259 275 280 292 296 308 320 350 352 365 370 385 392 400 407 440 448 484 490 511 518 539 550 560 584 592 605 616 700 704 730 740 770 784 800 803 814 847 880 925 968 980 1022 1036 1078 1100 1120 1168 1184 1210 1225 1232 1295 1331 1369 1400 1460 1480 1540 1568 1600 1606 1628 1694 1760 1813 1825 1850 1925 1936 1960 2035 2044 2072 2156 2200 2240 2336 2368 2420 2450 2464 2555 2590 2662 2695 2701 2738 2800 2849 2920 2960 3025 3080 3136 3212 3256 3388 3520 3577 3626 3650 3700 3850 3872 3920 4015 4070 4088 4144 4235 4312 4400 4477 4672 4840 4900 4928 5110 5180 5324 5390 5402 5476 5600 5621 5698 5840 5920 5929 6050 6160 6424 6475 6512 6655 6776 6845 7154 7252 7300 7400 7700 7744 7840 8030 8140 8176 8288 8470 8624 8800 8833 8954 9065 9317 9583 9680 9800 10175 10220 10360 10648 10780 10804 10952 11200 11242 11396 11680 11840 11858 12100 12320 12775 12848 12950 13024 13310 13475 13505 13552 13690 14245 14308 14504 14600 14641 14800 15059 15400 15680 16060 16280 16352 16576 16940 17248 17600 17666 17885 17908 18130 18634 18907 19166 19360 19600 19943 20075 20350 20440 20720 21175 21296 21560 21608 21904 22385 22484 22792 23360 23716 24200 24640 25550 25696 25900 26048 26620 26950 27010 27104 27380 28105 28490 28616 29008 29200 29282 29600 29645 29711 30118 30800 31339 32120 32560 32704 33275 33880 34225 34496 35332 35770 35816 36260 37268 37814 38332 38720 39200 39347 39886 40150 40700 40880 41440 42350 42592 43120 43216 43808 44165 44770 44968 45325 45584 46585 47432 47915 48400 49247 51100 51392 51800 53240 53900 54020 54208 54760 56210 56980 57232 58016 58400 58564 59200 59290 59422 60236 61600 61831 62678 64240 65120 65219 66550 67081 67525 67760 68450 70664 71225 71540 71632 72520 73205 74536 75295 75628 76664 78400 78694 79772 80300 81400 81760 82880 84700 85184 86240 86432 87616 88330 89425 89540 89936 90650 91168 93170 94535 94864 95830 96800 97163 98494 99715 99937 102200 102487 103600 105413 106480 107800 108040 109520 111925 112420 113960 114464 116032 116800 117128 118580 118844 120472 123200 123662 125356 128480 130240 130438 132349 133100 134162 135050 135520 136900 140525 141328 142450 143080 143264 145040 146410 148225 148555 149072 150590 151256 153328 156695 157388 159544 160600 161051 162800 163520 165649 169400 172480 172864 176660 178850 179080 179872 181300 182336 186340 189070 189728 191660 193600 194326 196735 196988 199430 199874 204400 204974 207200 207977 210826 212960 215600 216080 219040 219373 220825 223850 224840 227920 228928 232925 234256 237160 237688 239575 240944 246235 247324 250712 256960 260876 264698 266200 268324 270100 271040 273800 281050 282656 284900 286160 286528 290080 292820 296450 297110 298144 301180 302512 306656 309155 313390 314776 319088 321200 322102 325600 326095 326821 331298 335405 338800 344729 353320 357700 358160 359744 362600 366025 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160592004650 160949537870 162944780075 163875893104 167474519135 169768690630 170519510392 172855394096 173999500400 176383055200 177044491657 181053534200 183533719600 184345416640 186222605800 189608471360 191399450440 193772170900 194021360720 194879440448 196426584200 202779958304 204844866380 205557765952 206918324800 208569318496 212825835200 213149387990 216069242620 221453909600 224487524800 225329353018 230431770800 233588370400 234108418720 234464326789 237010589200 237676166882 239249313050 242526700900 243599300560 246936277280 253474947880 256056082975 256947207440 257519260592 260711648120 267959230616 270086553275 271629905008 281850430400 286782812932 289685654720 292635523400 297956169280 304499125700 306239120704 308670346600 310035473440 314282534720 316843684850 321184009300 321899075740 325889560150 327751786208 334949038270 339537381260 341039020784 345710788192 347999000800 352766110400 354088983314 358478516165 362107068400 367067439200 372445211600 382798900880 387544341800 388042721440 392853168400 402373844675 405559916608 409689732760 417138636992 424421726575 426298775980 432138485240 442907819200 450658706036 460863541600 467176740800 468216837440 468928653578 474021178400 475352333764 478498626100 485053401800 487198601120 493872554560 506949895760 512112165950 513894414880 515038521184 521423296240 532873469975 535918461232 540173106550 543259810016 563323382545 573565625864 585271046800 594190417205 608998251400 617340693200 620070946880 633687369700 642368018600 643798151480 651779120300 655503572416 669898076540 679074762520 682078041568 691421576384 695998001600 708177966628 716957032330 724214136800 734134878400 744890423200 765597801760 775088683600 776085442880 785706336800 788652735563 804747689350 819379465520 837372595675 848843453150 852597551960 864276970480 885222458285 901317412072 921727083200 937857307156 948042356800 950704667528 956997252200 970106803600 974397202240 1013899791520 1024224331900 1027788829760 1030077042368 1042846592480 1065746939950 1071836922464 1080346213100 1086519620032 1126646765090 1147131251728 1170542093600 1172321633945 1188380834410 1217996502800 1234681386400 1239311441599 1267374739400 1284736037200 1287596302960 1303558240600 1339796153080 1358149525040 1364156083136 1416355933256 1433914064660 1448428273600 1489780846400 1531195603520 1550177367200 1571412673600 1577305471126 1609495378700 1638758931040 1674745191350 1697686906300 1705195103920 1728553940960 1770444916570 1792392580825 1802634824144 1875714614312 1901409335056 1913994504400 1940213607200 2027799583040 2048448663800 2085693184960 2131493879900 2143673844928 2160692426200 2253293530180 2294262503456 2341084187200 2344643267890 2376761668820 2435993005600 2469362772800 2478622883198 2534749478800 2569472074400 2575192605920 2607116481200 2679592306160 2716299050080 2816616912725 2832711866512 2867828129320 2970952086025 3100354734400 3154610942252 3218990757400 3277517862080 3349490382700 3395373812600 3410390207840 3457107881920 3540889833140 3584785161650 3605269648288 3751429228624 3802818670112 3827989008800 3880427214400 3943263677815 4096897327600 4262987759800 4321384852400 4426112291425 4506587060360 4588525006912 4689286535780 4753523337640 4871986011200 4957245766396 5069498957600 5138944148800 5150385211840 5214232962400 5359184612320 5432598100160 5633233825450 5665423733024 5735656258640 5861608169725 5941904172050 6196557207995 6309221884504 6437981514800 6698980765400 6790747625200 6820780415680 7081779666280 7169570323300 7210539296576 7502858457248 7605637340224 7655978017600 7886527355630 8193794655200 8525975519600 8642769704800 8675180091193 8852224582850 9013174120720 9378573071560 9507046675280 9914491532792 10138997915200 10428465924800 10718369224640 11266467650900 11330847466048 11471312517280 11723216339450 11883808344100 12393114415990 12618443769008 12875963029600 13397961530800 13581495250400 14163559332560 14339140646600 15005716914496 15773054711260 16387589310400 17051951039200 17285539409600 17350360182386 17704449165700 18026348241440 18757146143120 19014093350560 19716318389075 19828983065584 22532935301800 22942625034560 23446432678900 23767616688200 24786228831980 25236887538016 25751926059200 26795923061600 27162990500800 28327118665120 28678281293200 30982786039975 31546109422520 34103902078400 34700720364772 35408898331400 36052696482880 37514292286240 38028186701120 39432636778150 39657966131168 43375900455965 45065870603600 46892865357800 47535233376400 49572457663960 50473775076032 53591846123200 56654237330240 57356562586400 61965572079950 63092218845040 69401440729544 70817796662800 75028584572480 78865273556300 79315932262336 86751800911930 90131741207200 93785730715600 95070466752800 99144915327920 114713125172800 123931144159900 126184437690080 138802881459088 141635593325600 157730547112600 173503601823860 180263482414400 187571461431200 190140933505600 198289830655840 216879502279825 247862288319800 252368875380160 277605762918176 283271186651200 315461094225200 347007203647720 375142922862400 396579661311680 433759004559650 495724576639600 555211525836352 630922188450400 694014407295440 867518009119300 991449153279200 1261844376900800 1388028814590880 1735036018238600 1982898306558400 2776057629181760 3470072036477200 6940144072954400 13880288145908800
- Sum of all divisors σ(n): 45531804395035854
- Sum of proper divisors (its aliquot sum) s(n): 31651516249127054
- 13880288145908800 is an abundant number, because the sum of its proper divisors (31651516249127054) is greater than itself. Its abundance is 17771228103218254
Bases of 13880288145908800
- Binary: 1100010101000000001100011011000101000100100100010000002
- Hexadecimal: 0x31500C6C512440
- Base-36: 3SO5GCFNK1S
Squares and roots of 13880288145908800
- 13880288145908800 squared (138802881459088002) is 192662399013456352758177917440000
- 13880288145908800 cubed (138802881459088003) is 2674209613188829496887704132629852840169472000000
-
The
square root of 13880288145908800 is 117814634.6847826881 -
The
cube root of 13880288145908800 is 240325.3004676015
Scales and comparisons
How big is 13880288145908800?- 13,880,288,145,908,800 seconds is equal to 441,350,228 years, 25 weeks, 3 days, 5 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,880,288,145,908,800 would take you about one billion, three hundred twenty-four million, fifty thousand, six hundred eighty-five 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 13880288145908800 cubic inches would be around 20027.1 feet tall.
Recreational maths with 13880288145908800
- 13880288145908800 backwards is 00880954188208831
- 13880288145908800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13880288145908800's digits is 73
- More coming soon!
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Cite this page
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"Number 13880288145908800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13880288145908800 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13880288145908800/
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The information we have on file for 13880288145908800 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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