13628007171542400
13,628,007,171,542,400 is an even composite number composed of six prime numbers multiplied together.
13628007171542400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13628007171542400:
27 × 3 × 52 × 72 × 132 × 130932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 13093 × 13093)See below for interesting mathematical facts about the number 13628007171542400 from the Numbermatics database.
Names of 13628007171542400
- Cardinal: 13628007171542400 can be written as Thirteen quadrillion, six hundred twenty-eight trillion, seven billion, one hundred seventy-one million, five hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.36280071715424 × 1016
Factors of 13628007171542400
Divisors of 13628007171542400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 128 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 260 273 280 294 300 312 320 325 336 338 350 364 384 390 392 400 416 420 448 455 480 490 507 520 525 546 560 588 600 624 637 640 650 672 676 700 728 735 780 784 800 832 840 845 896 910 960 975 980 1014 1040 1050 1092 1120 1176 1183 1200 1225 1248 1274 1300 1344 1352 1365 1400 1456 1470 1560 1568 1600 1664 1680 1690 1820 1911 1920 1950 1960 2028 2080 2100 2184 2240 2275 2352 2366 2400 2450 2496 2535 2548 2600 2688 2704 2730 2800 2912 2940 3120 3136 3185 3200 3360 3380 3549 3640 3675 3822 3900 3920 4056 4160 4200 4225 4368 4480 4550 4704 4732 4800 4900 4992 5070 5096 5200 5408 5460 5600 5824 5880 5915 6240 6272 6370 6720 6760 6825 7098 7280 7350 7644 7800 7840 8112 8281 8320 8400 8450 8736 9100 9408 9464 9555 9600 9800 10140 10192 10400 10816 10920 11200 11648 11760 11830 12480 12675 12740 13093 13440 13520 13650 14196 14560 14700 15288 15600 15680 15925 16224 16562 16800 16900 17472 17745 18200 18816 18928 19110 19600 20280 20384 20800 21632 21840 22400 23520 23660 24843 24960 25350 25480 26186 27040 27300 28392 29120 29400 29575 30576 31200 31360 31850 32448 33124 33600 33800 34944 35490 36400 37856 38220 39200 39279 40560 40768 41405 41600 43680 47040 47320 47775 49686 50700 50960 52372 54080 54600 56784 58240 58800 59150 61152 62400 63700 64896 65465 66248 67200 67600 70980 72800 75712 76440 78400 78558 81120 81536 82810 87360 88725 91651 94080 94640 95550 99372 101400 101920 104744 108160 109200 113568 117600 118300 122304 124215 124800 127400 130930 132496 135200 141960 145600 151424 152880 156800 157116 162240 165620 170209 174720 177450 183302 189280 191100 196395 198744 202800 203840 207025 209488 218400 227136 235200 236600 244608 248430 254800 261860 264992 270400 274953 283920 291200 305760 314232 324480 327325 331240 340418 354900 366604 378560 382200 392790 397488 405600 407680 414050 418976 436800 454272 458255 470400 473200 496860 509600 510627 523720 529984 540800 549906 567840 611520 621075 628464 641557 654650 662480 680836 709800 733208 757120 764400 785580 794976 811200 828100 837952 851045 873600 916510 946400 981975 993720 1019200 1021254 1047440 1059968 1099812 1135680 1191463 1223040 1242150 1256928 1283114 1309300 1324960 1361672 1374765 1419600 1466416 1528800 1571160 1589952 1622400 1656200 1675904 1702090 1833020 1892800 1924671 1963950 1987440 2038400 2042508 2094880 2199624 2212717 2271360 2291275 2382926 2484300 2513856 2553135 2566228 2618600 2649920 2723344 2749530 2839200 2932832 3057600 3142320 3179904 3207785 3312400 3404180 3574389 3666040 3785600 3849342 3927900 3974880 4085016 4189760 4255225 4399248 4425434 4582550 4765852 4968600 5027712 5106270 5132456 5237200 5299840 5446688 5499060 5678400 5865664 5957315 6115200 6284640 6415570 6624800 6638151 6808360 6873825 7148778 7332080 7698684 7855800 7949760 8170032 8340241 8379520 8510450 8798496 8850868 9165100 9531704 9623355 9937200 10212540 10264912 10474400 10893376 10998120 11063585 11356800 11731328 11914630 12569280 12765675 12831140 13249600 13276302 13616720 13747650 14297556 14664160 15397368 15489019 15711600 15899520 16038925 16340064 16680482 17020900 17596992 17701736 17871945 18330200 19063408 19246710 19874400 20425080 20529824 20948800 21786752 21996240 22127170 23829260 25020723 25138560 25531350 25662280 26499200 26552604 27233440 27495300 28595112 29328320 29786575 30794736 30978038 31423200 32077850 32680128 33190755 33360964 34041800 35193984 35403472 35743890 36660400 38126816 38493420 39748800 40850160 41059648 41701205 41897600 43992480 44254340 46467057 47658520 48116775 50041446 51062700 51324560 53105208 54466880 54990600 55317925 57190224 58656640 59573150 61589472 61956076 62846400 64155700 65360256 66381510 66721928 68083600 70806944 71487780 73320800 76253632 76986840 77445095 79497600 81700320 82119296 83402410 87984960 88508680 89359725 92934114 95317040 96233550 100082892 102125400 102649120 106210416 108423133 108933760 109981200 110635850 114380448 119146300 123178944 123912152 125103615 125692800 128311400 132763020 133443856 136167200 141613888 142975560 146641600 152507264 153973680 154890190 163400640 165953775 166804820 171426649 175969920 177017360 178719450 185868228 190634080 192467100 200165784 204250800 205298240 208506025 212420832 216846266 219962400 221271700 228760896 232335285 238292600 246357888 247824304 250207230 256622800 265526040 266887712 272334400 283227776 285951120 293283200 307947360 309780380 325269399 326801280 331907550 333609640 342853298 354034720 357438900 371736456 381268160 384934200 387225475 400331568 408501600 410596480 417012050 424841664 433692532 439924800 442543400 457521792 464670570 476585200 495648608 500414460 513245600 514279947 531052080 533775424 542115665 544668800 571902240 615894720 619560760 625518075 650538798 663815100 667219280 685706596 708069440 714877800 743472912 762536320 769868400 774450950 800663136 817003200 834024100 849683328 857133245 867385064 879849600 885086800 929341140 953170400 991297216 1000828920 1026491200 1028559894 1062104160 1067550848 1084231330 1143804480 1161676425 1199986543 1231789440 1239121520 1251036150 1301077596 1327630200 1334438560 1371413192 1416138880 1429755600 1486945824 1539736800 1548901900 1601326272 1626346995 1634006400 1668048200 1714266490 1734770128 1770173600 1858682280 1906340800 1982594432 2001657840 2052982400 2057119788 2124208320 2168462660 2228546437 2287608960 2323352850 2399973086 2478243040 2502072300 2571399735 2602155192 2655260400 2668877120 2710578325 2742826384 2859511200 2973891648 3079473600 3097803800 3202652544 3252693990 3336096400 3428532980 3469540256 3540347200 3599959629 3717364560 3812681600 4003315680 4114239576 4248416640 4285666225 4336925320 4457092874 4646705700 4799946172 4956486080 5004144600 5142799470 5204310384 5310520800 5337754240 5421156650 5485652768 5719022400 5947783296 5999932715 6158947200 6195607600 6505387980 6672192800 6685639311 6857065960 6939080512 7080694400 7199919258 7434729120 8006631360 8131734975 8228479152 8399905801 8571332450 8673850640 8914185748 9293411400 9599892344 9912972160 10008289200 10285598940 10408620768 10621041600 10842313300 10971305536 11142732185 11438044800 11999865430 12391215200 12856998675 13010775960 13344385600 13371278622 13714131920 13878161024 14399838516 14869458240 15599825059 16013262720 16263469950 16456958304 16799811602 17142664900 17347701280 17828371496 17999798145 18586822800 19199784688 20016578400 20571197880 20817241536 21242083200 21684626600 21942611072 22285464370 23999730860 24782430400 25199717403 25713997350 26021551920 26688771200 26742557244 27428263840 28799677032 28971103681 29738916480 29999663575 31199650118 32526939900 32913916608 33428196555 33599623204 34285329800 34695402560 35656742992 35999596290 37173645600 38399569376 40033156800 41142395760 41634483072 41999529005 43369253200 44570928740 46799475177 47999461720 49564860800 50399434806 51427994700 52043103840 53485114488 54856527680 55713660925 57599354064 57942207362 59999327150 62399300236 65053879800 65827833216 66856393110 67199246408 68570659600 69390805120 71313485984 71999192580 74347291200 76799138752 77999125295 80066313600 82284791520 83999058010 86738506400 86913311043 89141857480 89998990725 93598950354 95998923440 100798869612 102855989400 104086207680 106970228976 109198775413 109713055360 111427321850 115198708128 115884414724 119998654300 124798600472 125998587015 130107759600 133712786220 134398492816 137141319200 142626971968 143998385160 144855518405 148694582400 153598277504 155998250590 164569583040 167140982775 167998116020 173477012800 173826622086 178283714960 179997981450 187197900708 191997846880 201597739224 202797725767 205711978800 208172415360 209997645025 213940457952 218397550826 222854643700 230397416256 231768829448 233997375885 239997308600 249597200944 251997174030 260215519200 267425572440 268796985632 274282638400 285253943936 287996770320 289711036810 311996501180 327596326239 329139166080 334281965550 335996232040 346954025600 347653244172 356567429920 359995962900 374395801416 383995693760 389995626475 403195478448 405595451534 411423957600 419995290050 427880915904 434566555215 436795101652 445709287400 460794832512 463537658896 467994751770 479994617200 499194401888 503994348060 520431038400 534851144880 537593971264 545993877065 548565276800 575993540640 579422073620 608393177301 623993002360 629992935075 655192652478 668563931100 671992464080 695306488344 713134859840 719991925800 724277592025 748791602832 767991387520 779991252950 806390956896 811190903068 822847915200 839990580100 855761831808 869133110430 873590203304 891418574800 927075317792 935989503540 959989234400 998388803776 1007988696120 1013988628835 1040862076800 1069702289760 1075187942528 1091987754130 1151987081280 1158844147240 1169986879425 1216786354602 1247986004720 1259985870150 1310385304956 1337127862200 1343984928160 1390612976688 1419584080369 1426269719680 1439983851600 1448555184050 1497583205664 1559982505900 1612781913792 1622381806136 1637981631195 1645695830400 1679981160200 1738266220860 1747180406608 1782837149600 1854150635584 1871979007080 1919978468800 1996777607552 2015977392240 2027977257670 2139404579520 2172832776075 2183975508260 2303974162560 2317688294480 2339973758850 2433572709204 2495972009440 2519971740300 2620770609912 2674255724400 2687969856320 2729969385325 2781225953376 2839168160738 2879967703200 2897110368100 2995166411328 3041965886505 3119965011800 3225563827584 3244763612272 3275963262390 3359962320400 3476532441720 3494360813216 3565674299200 3708301271168 3743958014160 3839956937600 4031954784480 4055954515340 4258752241107 4278809159040 4345665552150 4367951016520 4635376588960 4679947517700 4867145418408 4991944018880 5039943480600 5069943144175 5241541219824 5348511448800 5375939712640 5459938770650 5562451906752 5678336321476 5759935406400 5794220736200 5990332822656 6083931773010 6239930023600 6489527224544 6551926524780 6719924640800 6953064883440 6988721626432 7097920401845 7131348598400 7487916028320 8063909568960 8111909030680 8189908155975 8517504482214 8691331104300 8735902033040 9270753177920 9359895035400 9734290836816 9983888037760 10079886961200 10139886288350 10483082439648 10697022897600 10919877541300 11124903813504 11356672642952 11519870812800 11588441472400 12167863546020 12479860047200 12979054449088 13103853049560 13439849281600 13906129766880 13977443252864 14195840803690 14975832056640 15209829432525 16127819137920 16223818061360 16379816311950 17035008964428 17382662208600 17471804066080 18541506355840 18719790070800 19468581673632 20159773922400 20279772576700 20966164879296 21293761205535 21394045795200 21839755082600 22713345285904 23176882944800 24335727092040 24959720094400 25958108898176 26207706099120 26879698563200 27812259533760 28391681607380 29951664113280 30419658865050 32447636122720 32759632623900 34070017928856 34765324417200 34943608132160 35489602009225 37439580141600 38937163347264 40319547844800 40559545153400 41932329758592 42587522411070 43679510165200 45426690571808 46353765889600 48671454184080 49919440188800 52415412198240 55624519067520 56783363214760 60839317730100 64895272245440 65519265247800 68140035857712 69530648834400 69887216264320 70979204018450 74879160283200 77874326694528 80639095689600 81119090306800 85175044822140 87359020330400 90853381143616 92707531779200 97342908368160 104830824396480 106468806027675 113566726429520 121678635460200 129790544490880 131038530495600 136280071715424 139061297668800 141958408036900 149758320566400 162238180613600 170350089644280 174718040660800 181706762287232 194685816736320 209661648792960 212937612055350 227133452859040 243357270920400 262077060991200 272560143430848 278122595337600 283916816073800 324476361227200 340700179288560 349436081321600 389371633472640 425875224110700 454266905718080 486714541840800 524154121982400 545120286861696 567833632147600 648952722454400 681400358577120 851750448221400 908533811436160 973429083681600 1048308243964800 1135667264295200 1362800717154240 1703500896442800 1946858167363200 2271334528590400 2725601434308480 3407001792885600 4542669057180800 6814003585771200 13628007171542400
- Sum of all divisors σ(n): 56545665270947460
- Sum of proper divisors (its aliquot sum) s(n): 42917658099405060
- 13628007171542400 is an abundant number, because the sum of its proper divisors (42917658099405060) is greater than itself. Its abundance is 29289650927862660
Bases of 13628007171542400
- Binary: 1100000110101010011001101011100111010011001101100000002
- Hexadecimal: 0x306A99AE74CD80
- Base-36: 3Q6Q42D7UYO
Squares and roots of 13628007171542400
- 13628007171542400 squared (136280071715424002) is 185722579467611085420394997760000
- 13628007171542400 cubed (136280071715424003) is 2531028644901957161451468831857831183745024000000
-
The
square root of 13628007171542400 is 116739055.8962269491 -
The
cube root of 13628007171542400 is 238860.3794117261
Scales and comparisons
How big is 13628007171542400?- 13,628,007,171,542,400 seconds is equal to 433,328,473 years, 44 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 13,628,007,171,542,400 would take you about one billion, two hundred ninety-nine million, nine hundred eighty-five thousand, four hundred twenty-one 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 13628007171542400 cubic inches would be around 19905 feet tall.
Recreational maths with 13628007171542400
- 13628007171542400 backwards is 00424517170082631
- The number of decimal digits it has is: 17
- The sum of 13628007171542400's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13628007171542400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 13628007171542400 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13628007171542400/
Chicago style:
Numbermatics. 2024. "Number 13628007171542400 - Facts about the integer". https://numbermatics.com/n/13628007171542400/
The information we have on file for 13628007171542400 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!
Keywords: Divisors of 13628007171542400, math, Factors of 13628007171542400, curriculum, school, college, exams, university, Prime factorization of 13628007171542400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred twenty-eight trillion, seven billion, one hundred seventy-one million, five hundred forty-two thousand, four hundred.