13416048133340400
13,416,048,133,340,400 is an even composite number composed of six prime numbers multiplied together.
13416048133340400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 13416048133340400:
24 × 36 × 52 × 17 × 195 × 1093
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 19 × 19 × 19 × 19 × 19 × 1093)See below for interesting mathematical facts about the number 13416048133340400 from the Numbermatics database.
Names of 13416048133340400
- Cardinal: 13416048133340400 can be written as Thirteen quadrillion, four hundred sixteen trillion, forty-eight billion, one hundred thirty-three million, three hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 1.34160481333404 × 1016
Factors of 13416048133340400
Divisors of 13416048133340400
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 34 36 38 40 45 48 50 51 54 57 60 68 72 75 76 80 81 85 90 95 100 102 108 114 120 135 136 144 150 152 153 162 170 171 180 190 200 204 216 225 228 240 243 255 270 272 285 300 304 306 323 324 340 342 360 361 380 400 405 408 425 432 450 456 459 475 486 510 513 540 570 600 612 646 648 675 680 684 720 722 729 760 765 810 816 850 855 900 912 918 950 969 972 1020 1026 1080 1083 1093 1140 1200 1215 1224 1275 1292 1296 1350 1360 1368 1377 1425 1444 1458 1520 1530 1539 1615 1620 1700 1710 1800 1805 1836 1900 1938 1944 2025 2040 2052 2160 2166 2186 2280 2295 2430 2448 2550 2565 2584 2700 2736 2754 2850 2888 2907 2916 3060 3078 3230 3240 3249 3279 3400 3420 3600 3610 3645 3672 3800 3825 3876 3888 4050 4080 4104 4131 4275 4332 4372 4560 4590 4617 4845 4860 5100 5130 5168 5400 5415 5465 5508 5700 5776 5814 5832 6075 6120 6137 6156 6460 6480 6498 6558 6800 6840 6859 6885 7220 7290 7344 7600 7650 7695 7752 8075 8100 8208 8262 8550 8664 8721 8744 9025 9180 9234 9690 9720 9747 9837 10200 10260 10800 10830 10930 11016 11400 11475 11628 11664 12150 12240 12274 12312 12393 12825 12920 12996 13116 13680 13718 13770 13851 14440 14535 14580 15300 15390 15504 16150 16200 16245 16395 16524 17100 17328 17442 17488 18050 18225 18360 18411 18468 18581 19380 19440 19494 19674 20400 20520 20577 20655 20767 21660 21860 22032 22800 22950 23085 23256 24225 24300 24548 24624 24786 25650 25840 25992 26163 26232 27075 27325 27436 27540 27702 28880 29070 29160 29241 29511 30600 30685 30780 32300 32400 32490 32790 33048 34200 34295 34425 34884 36100 36450 36720 36822 36936 37162 38475 38760 38988 39348 41040 41154 41310 41534 43320 43605 43720 45900 46170 46512 48450 48600 48735 49096 49185 49572 51300 51984 52326 52464 54150 54650 54872 55080 55233 55404 55743 58140 58320 58482 59022 61200 61370 61560 61731 61965 62301 64600 64980 65580 66096 68400 68590 68850 69255 69768 72200 72675 72900 73644 73872 74324 76950 77520 77976 78489 78696 81225 81975 82308 82620 83068 86640 87210 87440 87723 88533 91800 92055 92340 92905 96900 97200 97470 98192 98370 99144 102600 102885 103275 103835 104652 108300 109300 109744 110160 110466 110808 111486 115425 116280 116603 116964 118044 122740 123120 123462 123930 124602 129200 129960 130321 130815 131160 137180 137700 138510 139536 144400 145350 145800 146205 147288 147555 148648 153425 153900 155952 156978 157392 162450 163950 164616 165240 165699 166136 167229 171475 174420 175446 177066 183600 184110 184680 185193 185810 186903 193800 194940 196740 198288 205200 205770 206550 207670 209304 216600 218025 218600 220932 221616 222972 230850 232560 233206 233928 235467 236088 243675 245480 245925 246924 247860 249204 259920 260642 261630 262320 263169 265599 274360 275400 276165 277020 278715 290700 291600 292410 294576 295110 297296 306850 307800 308655 309825 311505 313956 324900 327900 329232 330480 331398 332272 334458 342950 346275 348840 349809 350892 353039 354132 368220 369360 370386 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688214226600 690125932785 692262545580 722030468400 726448350300 728697416400 730721575890 736134328304 743271364728 767157372675 769180606200 774241004925 784564218324 811912862100 818301197520 825857071920 828151119342 830715054696 865328181975 871738020360 876865891068 920167910380 923016727440 929089205910 968597800400 974295434520 977988637800 980705272905 1022876496900 1032321339900 1038393818370 1046085624432 1082550482800 1089672525450 1093046124600 1096082363835 1104201492456 1150209887975 1153770909300 1169154521424 1176846327486 1217869293150 1227451796280 1238785607880 1242226679013 1307607030540 1315298836602 1363835329200 1376428453200 1380251865570 1384525091160 1452896700600 1461443151780 1486542729456 1534314745350 1538361212400 1548482009850 1569128436648 1623825724200 1634508788175 1656302238684 1661430109392 1730656363950 1743476040720 1753731782136 1765269491229 1826803939725 1840335820760 1858178411820 1948590869040 1955977275600 1961410545810 1972948254903 2045752993800 2064642679800 2070377798355 2076787636740 2179345050900 2186092249200 2192164727670 2208402984912 2300419775950 2307541818600 2322723014775 2353692654972 2435738586300 2454903592560 2477571215760 2484453358026 2595984545925 2615214061080 2630597673204 2760503731140 2769050182320 2905793401200 2922886303560 2942115818715 3068629490700 3096964019700 3138256873296 3247651448400 3269017576350 3288247091505 3312604477368 3450629663925 3461312727900 3507463564272 3530538982458 3653607879450 3680671641520 3716356823640 3726680037039 3922821091620 3945896509806 4091505987600 4129285359600 4140755596710 4153575273480 4358690101800 4384329455340 4600839551900 4615083637200 4645446029550 4707385309944 4871477172600 4903526364525 4968906716052 5191969091850 5230428122160 5261195346408 5480411819175 5521007462280 5845772607120 5884231637430 6137258981400 6193928039400 6211133395065 6538035152700 6576494183010 6625208954736 6901259327850 6922625455800 7061077964916 7307215758900 7432713647280 7453360074078 7845642183240 7891793019612 8281511193420 8307150546960 8717380203600 8768658910680 8826347456145 9201679103800 9290892059100 9414770619888 9742954345200 9807052729050 9864741274515 9937813432104 10351888991775 10383938183700 10522390692816 10960823638350 11042014924560 11180040111117 11768463274860 12274517962800 12387856078800 12422266790130 13076070305400 13152988366020 13802518655700 13845250911600 14122155929832 14614431517800 14710579093575 14906720148156 15691284366480 15783586039224 16441235457525 16563022386840 17537317821360 17652694912290 18403358207600 18581784118200 18633400185195 19614105458100 19729482549030 19875626864208 20703777983550 20767876367400 21921647276700 22360080222234 23536926549720 24844533580260 26152140610800 26305976732040 27605037311400 28244311859664 29228863035600 29421158187150 29813440296312 31055666975325 31567172078448 32882470915050 33126044773680 33540120333351 35305389824580 37163568236400 37266800370390 39228210916200 39458965098060 41407555967100 41535752734800 43843294553400 44131737280725 44720160444468 47073853099440 49323706372575 49689067160520 52611953464080 55210074622800 55900200555585 58842316374300 59626880592624 62111333950650 65764941830100 67080240666702 70610779649160 74533600740780 78456421832400 78917930196120 82815111934200 87686589106800 88263474561450 89440320888936 93167000925975 98647412745150 99378134321040 111800401111170 117684632748600 124222667901300 131529883660200 134160481333404 141221559298320 149067201481560 157835860392240 165630223868400 167700601666755 176526949122900 178880641777872 186334001851950 197294825490300 223600802222340 235369265497200 248445335802600 263059767320400 268320962666808 279501002777925 298134402963120 335401203333510 353053898245800 372668003703900 394589650980600 447201604444680 496890671605200 536641925333616 559002005555850 670802406667020 706107796491600 745336007407800 789179301961200 838503008333775 894403208889360 1118004011111700 1341604813334040 1490672014815600 1677006016667550 2236008022223400 2683209626668080 3354012033335100 4472016044446800 6708024066670200 13416048133340400
- Sum of all divisors σ(n): 54060799991884560
- Sum of proper divisors (its aliquot sum) s(n): 40644751858544160
- 13416048133340400 is an abundant number, because the sum of its proper divisors (40644751858544160) is greater than itself. Its abundance is 27228703725203760
Bases of 13416048133340400
- Binary: 1011111010100111010011000111110100011011111100111100002
- Hexadecimal: 0x2FA9D31F46FCF0
- Base-36: 3O3LBFEHR00
Squares and roots of 13416048133340400
- 13416048133340400 squared (134160481333404002) is 179990347516106431258062272160000
- 13416048133340400 cubed (134160481333404003) is 2414759165812749588803501816810150274723264000000
-
The
square root of 13416048133340400 is 115827665.6647296851 -
The
cube root of 13416048133340400 is 237615.5560045761
Scales and comparisons
How big is 13416048133340400?- 13,416,048,133,340,400 seconds is equal to 426,588,832 years, 4 weeks, 15 hours.
-
To count from 1 to 13,416,048,133,340,400 would take you about one billion, two hundred seventy-nine million, seven hundred sixty-six thousand, four hundred ninety-six 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 13416048133340400 cubic inches would be around 19801.3 feet tall.
Recreational maths with 13416048133340400
- 13416048133340400 backwards is 00404333184061431
- 13416048133340400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13416048133340400's digits is 45
- More coming soon!
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"Number 13416048133340400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 13416048133340400 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13416048133340400/
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The information we have on file for 13416048133340400 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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