13112817249405120
13,112,817,249,405,120 is an even composite number composed of nine prime numbers multiplied together.
13112817249405120 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 13112817249405120:
26 × 3 × 5 × 13 × 19 × 31 × 877 × 1093 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 19 × 31 × 877 × 1093 × 1861)See below for interesting mathematical facts about the number 13112817249405120 from the Numbermatics database.
Names of 13112817249405120
- Cardinal: 13112817249405120 can be written as Thirteen quadrillion, one hundred twelve trillion, eight hundred seventeen billion, two hundred forty-nine million, four hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.311281724940512 × 1016
Factors of 13112817249405120
Divisors of 13112817249405120
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 31 32 38 39 40 48 52 57 60 62 64 65 76 78 80 93 95 96 104 114 120 124 130 152 155 156 160 186 190 192 195 208 228 240 247 248 260 285 304 310 312 320 372 380 390 403 416 456 465 480 494 496 520 570 589 608 620 624 741 744 760 780 806 832 877 912 930 960 988 992 1040 1093 1140 1178 1209 1216 1235 1240 1248 1482 1488 1520 1560 1612 1754 1767 1824 1860 1861 1976 1984 2015 2080 2186 2280 2356 2418 2470 2480 2496 2631 2945 2964 2976 3040 3120 3224 3279 3508 3534 3648 3705 3720 3722 3952 4030 4160 4372 4385 4560 4712 4836 4940 4960 5262 5465 5583 5890 5928 5952 6045 6080 6240 6448 6558 7016 7068 7410 7440 7444 7657 7904 8060 8744 8770 8835 9120 9305 9424 9672 9880 9920 10524 10930 11166 11401 11780 11856 12090 12480 12896 13116 13155 14032 14136 14209 14820 14880 14888 15314 15808 16120 16395 16663 17488 17540 17670 18240 18610 18848 19344 19760 20767 21048 21860 22332 22802 22971 23560 23712 24180 24193 25792 26232 26310 27187 27915 28064 28272 28418 29640 29760 29776 30628 32240 32790 33326 33883 34203 34976 35080 35340 35359 37220 37696 38285 38688 39520 41534 42096 42627 43720 44664 45604 45942 47120 47424 48360 48386 49989 52464 52620 54374 55830 56128 56544 56836 57005 57691 59280 59552 61256 62301 64480 65580 66652 67766 68406 69952 70160 70680 70718 71045 72579 74440 76570 77376 79040 81561 83068 83315 84192 85254 87440 89328 91208 91884 94240 96720 96772 99978 101649 103835 104928 105240 106077 108748 111660 113088 113672 114010 114855 115382 118560 119104 120965 122512 124602 128960 131160 133304 135532 135935 136812 140320 141360 141436 142090 145158 148880 153140 163122 166136 166630 168384 169415 170508 171015 173073 174880 176795 178656 182416 183768 188480 193440 193544 199956 203298 207670 209856 210480 212154 213135 216619 217496 223320 227344 228020 229710 230764 237120 241930 245024 249204 249945 262320 266608 269971 271064 271870 273624 280640 282720 282872 284180 288455 290316 297760 306280 311505 326244 332272 333260 338830 341016 342030 346146 349760 353431 353590 357312 362895 364832 367536 386880 387088 399912 406596 407805 415340 420960 424308 426270 433238 434992 440479 446640 454688 456040 459420 459667 461528 483860 490048 498408 499890 508245 516553 524640 530385 533216 539942 542128 543740 547248 565440 565744 568360 576910 580632 595520 612560 623010 643777 649857 652488 664544 666520 677660 682032 684060 692292 706862 707180 725790 729664 735072 749983 774176 799824 809913 813192 815610 830680 841920 848616 852540 865365 866476 869984 880958 893280 909376 912080 918840 919334 923056 958561 967720 996816 999780 1016490 1033106 1049280 1060293 1060770 1066432 1079884 1083095 1084256 1087480 1094496 1096129 1131488 1136720 1153820 1161264 1225120 1246020 1287554 1299714 1304976 1321437 1329088 1333040 1349855 1355320 1364064 1368120 1379001 1384584 1413724 1414360 1451580 1470144 1499966 1548352 1549659 1599648 1619826 1626384 1631220 1632097 1661360 1697232 1705080 1730730 1732952 1739968 1761916 1767155 1786560 1824160 1837680 1838668 1846112 1917122 1931331 1935440 1993632 1999560 2032980 2034073 2066212 2120586 2121540 2159768 2166190 2168512 2174960 2188992 2192258 2202395 2249949 2262976 2273440 2298335 2307640 2322528 2450240 2492040 2575108 2582765 2599428 2609952 2642874 2666080 2699710 2710640 2728128 2736240 2758002 2769168 2827448 2828720 2875683 2903160 2999932 3099318 3199296 3218885 3239652 3249285 3252768 3262440 3264194 3288387 3322720 3394464 3410160 3461460 3465904 3523832 3534310 3648320 3675360 3677336 3692224 3749915 3834244 3862662 3870880 3987264 3999120 4049565 4065960 4068146 4132424 4241172 4243080 4319536 4332380 4349920 4384516 4404790 4499898 4546880 4596670 4615280 4645056 4792805 4896291 4984080 5150216 5165530 5198856 5219904 5285748 5301465 5332160 5399420 5421280 5472480 5480645 5516004 5538336 5654896 5657440 5751366 5806320 5999864 6102219 6198636 6437770 6479304 6498570 6505536 6524880 6528388 6576774 6607185 6645440 6715189 6788928 6820320 6895005 6922920 6931808 7047664 7068620 7350720 7354672 7499830 7668488 7725324 7741760 7748295 7998240 8099130 8131920 8136292 8160485 8264848 8369101 8482344 8486160 8639072 8664760 8699840 8769032 8809580 8999796 9193340 9230560 9585610 9656655 9792582 9968160 10170365 10300432 10331060 10397712 10571496 10602930 10798840 10842560 10944960 10961290 11032008 11076672 11249745 11309792 11314880 11502732 11612640 11999728 12204438 12397272 12461293 12875540 12958608 12997140 13049760 13056776 13153548 13214370 13430378 13640640 13790010 13845840 13863616 14095328 14137240 14249677 14378415 14709344 14999660 15336976 15450648 15496590 15996480 16198260 16263840 16272584 16320970 16441935 16529696 16738202 16964688 16972320 17278144 17329520 17538064 17619160 17999592 18212659 18386680 18461120 19171220 19313310 19585164 19936320 20145567 20340730 20600864 20662120 20795424 21142992 21205860 21217261 21597680 21922580 22064016 22499490 22619584 23005464 23225280 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117435225232 120579847440 123616026560 124599175688 124969667290 126285137472 129000946880 131157027040 135502182960 135575033596 139142797638 142710561680 143768279640 146794031540 149963600748 153808821280 155748969610 157388432448 157856421840 160773129920 165901027953 169468791995 171252674016 176152837848 180669577280 184570585536 185424039840 185523730184 186898763532 187454500935 191691039520 193501420320 196735540560 199951467664 203362550394 210475229120 214065842520 220191047310 221201370604 227293984320 230029247424 230713231920 231904662730 233623454415 234870450464 241159694880 249198351376 249939334580 262314054080 271004365920 271150067192 276501713255 278285595276 285421123360 287536559280 293588063080 299927201496 307617642560 311497939220 315712843680 331802055906 338937583990 342505348032 347856994095 352305675696 370848079680 371047460368 373797527064 374909001870 383382079040 387002840640 393471081120 399902935328 406725100788 428131685040 440382094620 440618859187 442402741208 461426463840 463809325460 467246908830 469740900928 482319389760 498396702752 499878669160 508406375985 542008731840 542300134384 553003426510 556571190552 570842246720 575073118560 587176126160 599854402992 622995878440 631425687360 663604111812 677875167980 695713988190 704611351392 718904454463 742094920736 747595054128 749818003740 786942162240 799805870656 813450201576 829505139765 856263370080 880764189240 881237718374 884805482416 922852927680 927618650920 934493817660 996793405504 999757338320 1016812751970 1050706510369 1084600268768 1106006853020 1113142381104 1150146237120 1174352252320 1199708805984 1245991756880 1321856577561 1327208223624 1355750335960 1391427976380 1409222702784 1437808908926 1484189841472 1495190108256 1499636007480 1626900403152 1659010279530 1712526740160 1761528378480 1762475436748 1769610964832 1855237301840 1868987635320 1999514676640 2033625503940 2101413020738 2156713363389 2169200537536 2203094295935 2212013706040 2226284762208 2348704504640 2399417611968 2491983513760 2643713155122 2654416447248 2711500671920 2782855952760 2875617817852 2990380216512 2999272014960 3152119531107 3253800806304 3318020559060 3523056756960 3524950873496 3539221929664 3594522272315 3710474603680 3737975270640 3999029353280 4067251007880 4202826041476 4313426726778 4406188591870 4424027412080 4452569524416 4983967027520 5253532551845 5287426310244 5308832894496 5423001343840 5565711905520 5751235635704 5998544029920 6304239062214 6507601612608 6609282887805 6636041118120 7046113513920 7049901746992 7189044544630 7420949207360 7475950541280 8134502015760 8405652082952 8626853453556 8812377183740 8848054824160 10507065103690 10574852620488 10617665788992 10783566816945 10846002687680 11131423811040 11502471271408 11997088059840 12608478124428 13218565775610 13272082236240 13659184634797 14099803493984 14378089089260 14951901082560 15760597655535 16269004031520 16811304165904 17253706907112 17624754367480 17696109648320 21014130207380 21149705240976 21567133633890 22262847622080 23004942542816 25216956248856 26437131551220 26544164472480 27318369269594 28199606987968 28756178178520 31521195311070 32538008063040 33622608331808 34507413814224 35249508734960 40977553904391 42028260414760 42299410481952 43134267267780 46009885085632 50433912497712 52874263102440 53088328944960 54636738539188 57512356357040 63042390622140 67245216663616 68295923173985 69014827628448 70499017469920 81955107808782 84056520829520 84598820963904 86268534535560 100867824995424 105748526204880 109273477078376 115024712714080 126084781244280 136591846347970 138029655256896 140998034939840 163910215617564 168113041659040 172537069071120 201735649990848 204887769521955 211497052409760 218546954156752 230049425428160 252169562488560 273183692695940 327820431235128 336226083318080 345074138142240 409775539043910 422994104819520 437093908313504 504339124977120 546367385391880 655640862470256 690148276284480 819551078087820 874187816627008 1008678249954240 1092734770783760 1311281724940512 1639102156175640 2185469541567520 2622563449881024 3278204312351280 4370939083135040 6556408624702560 13112817249405120
- Sum of all divisors σ(n): 48844367129886720
- Sum of proper divisors (its aliquot sum) s(n): 35731549880481600
- 13112817249405120 is an abundant number, because the sum of its proper divisors (35731549880481600) is greater than itself. Its abundance is 22618732631076480
Bases of 13112817249405120
- Binary: 1011101001011000001001101011100010011111001000110000002
- Hexadecimal: 0x2E9609AE27C8C0
- Base-36: 3L43T2ZDY2O
Squares and roots of 13112817249405120
- 13112817249405120 squared (131128172494051202) is 171945976216296457048993882214400
- 13112817249405120 cubed (131128172494051203) is 2254696162894854690774380637476147037748297728000
-
The
square root of 13112817249405120 is 114511210.1473262747 -
The
cube root of 13112817249405120 is 235811.6929445743
Scales and comparisons
How big is 13112817249405120?- 13,112,817,249,405,120 seconds is equal to 416,947,027 years, 48 weeks, 9 hours, 52 minutes.
-
To count from 1 to 13,112,817,249,405,120 would take you about one billion, two hundred fifty million, eight hundred forty-one thousand and 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 13112817249405120 cubic inches would be around 19651 feet tall.
Recreational maths with 13112817249405120
- 13112817249405120 backwards is 02150494271821131
- The number of decimal digits it has is: 17
- The sum of 13112817249405120's digits is 51
- More coming soon!
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"Number 13112817249405120 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 13112817249405120 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/13112817249405120/
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The information we have on file for 13112817249405120 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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