13312493648640
13,312,493,648,640 is an even composite number composed of five prime numbers multiplied together.
13312493648640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13312493648640:
28 × 38 × 5 × 23 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 23 × 41 × 41 × 41)See below for interesting mathematical facts about the number 13312493648640 from the Numbermatics database.
Names of 13312493648640
- Cardinal: 13312493648640 can be written as Thirteen trillion, three hundred twelve billion, four hundred ninety-three million, six hundred forty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.331249364864 × 1013
Factors of 13312493648640
Divisors of 13312493648640
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 41 45 46 48 54 60 64 69 72 80 81 82 90 92 96 108 115 120 123 128 135 138 144 160 162 164 180 184 192 205 207 216 230 240 243 246 256 270 276 288 320 324 328 345 360 368 369 384 405 410 414 432 460 480 486 492 540 552 576 615 621 640 648 656 690 720 729 736 738 768 810 820 828 864 920 943 960 972 984 1035 1080 1104 1107 1152 1215 1230 1242 1280 1296 1312 1380 1440 1458 1472 1476 1620 1640 1656 1681 1728 1840 1845 1863 1886 1920 1944 1968 2070 2160 2187 2208 2214 2304 2430 2460 2484 2592 2624 2760 2829 2880 2916 2944 2952 3105 3240 3280 3312 3321 3362 3456 3645 3680 3690 3726 3772 3840 3888 3936 4140 4320 4374 4416 4428 4715 4860 4920 4968 5043 5184 5248 5520 5535 5589 5658 5760 5832 5888 5904 6210 6480 6560 6561 6624 6642 6724 6912 7290 7360 7380 7452 7544 7776 7872 8280 8405 8487 8640 8748 8832 8856 9315 9430 9720 9840 9936 9963 10086 10368 10496 10935 11040 11070 11178 11316 11520 11664 11808 12420 12960 13120 13122 13248 13284 13448 14145 14580 14720 14760 14904 15088 15129 15552 15744 16560 16605 16767 16810 16974 17280 17496 17664 17712 18630 18860 19440 19680 19872 19926 20172 20736 21870 22080 22140 22356 22632 23328 23616 24840 25215 25461 25920 26240 26244 26496 26568 26896 27945 28290 29160 29440 29520 29808 29889 30176 30258 31104 31488 32805 33120 33210 33534 33620 33948 34560 34992 35424 37260 37720 38663 38880 39360 39744 39852 40344 42435 43740 44160 44280 44712 45264 45387 46656 47232 49680 49815 50301 50430 50922 51840 52480 52488 52992 53136 53792 55890 56580 58320 59040 59616 59778 60352 60516 62208 65610 66240 66420 67068 67240 67896 68921 69984 70848 74520 75440 75645 76383 77326 77760 78720 79488 79704 80688 83835 84870 87480 88320 88560 89424 89667 90528 90774 93312 94464 99360 99630 100602 100860 101844 103680 104976 106272 107584 111780 113160 115989 116640 118080 119232 119556 120704 121032 127305 131220 132480 132840 134136 134480 135792 136161 137842 139968 141696 149040 149445 150880 150903 151290 152766 154652 155520 157440 158976 159408 161376 167670 169740 174960 177120 178848 179334 181056 181548 186624 193315 198720 199260 201204 201720 203688 206763 209952 212544 215168 223560 226320 226935 229149 231978 233280 236160 238464 239112 241408 242064 251505 254610 262440 264960 265680 268272 268960 269001 271584 272322 275684 279936 283392 298080 298890 301760 301806 302580 305532 309304 311040 318816 322752 335340 339480 344605 347967 349920 354240 357696 358668 362112 363096 381915 386630 397440 398520 402408 403440 407376 408483 413526 419904 425088 430336 447120 448335 452640 453870 458298 463956 466560 472320 476928 478224 484128 503010 509220 524880 531360 536544 537920 538002 543168 544644 551368 559872 579945 596160 597780 603520 603612 605160 611064 618608 620289 637632 645504 670680 678960 680805 687447 689210 695934 699840 708480 715392 717336 724224 726192 754515 763830 773260 794880 797040 804816 806880 814752 816966 827052 839808 850176 894240 896670 905280 907740 916596 927912 933120 956448 968256 1006020 1018440 1033815 1043901 1049760 1062720 1073088 1075840 1076004 1086336 1089288 1102736 1145745 1159890 1192320 1195560 1207040 1207224 1210320 1222128 1225449 1237216 1240578 1275264 1291008 1341360 1345005 1357920 1361610 1374894 1378420 1391868 1399680 1416960 1430784 1434672 1452384 1509030 1527660 1546520 1585183 1594080 1609632 1613760 1629504 1633932 1654104 1679616 1739835 1788480 1793340 1810560 1815480 1833192 1855824 1860867 1912896 1936512 2012040 2036880 2042415 2062341 2067630 2087802 2099520 2125440 2146176 2151680 2152008 2172672 2178576 2205472 2291490 2319780 2384640 2391120 2414448 2420640 2444256 2450898 2474432 2481156 2550528 2682720 2690010 2715840 2723220 2749788 2756840 2783736 2799360 2869344 2904768 3018060 3055320 3093040 3101445 3131703 3170366 3188160 3219264 3227520 3259008 3267864 3308208 3437235 3479670 3576960 3586680 3621120 3630960 3666384 3676347 3711648 3721734 3825792 3873024 4024080 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267238656 267964848 281853270 285332940 293310720 294107760 297738720 300643488 301460454 304355136 313714944 329974560 334048320 334956060 338223924 342399528 344321280 352929312 357286464 375804360 380443920 385199469 392143680 395969472 396984960 400857984 401947272 405806848 422779905 427999410 439966080 441161640 445397760 446608080 450965232 452190681 456532704 470572416 476381952 494961840 501072480 502434090 507258560 507335886 513599292 522858240 527959296 535929696 563706540 570665880 588215520 595477440 601286976 602920908 608710272 641999115 659949120 668096640 669912120 676447848 684799056 705858624 714572928 751608720 753651135 760887840 770398938 784287360 791938944 793969920 801715968 803894544 845559810 855998820 879932160 882323280 893216160 901930464 904381362 913065408 941144832 989923680 1002144960 1004868180 1014517120 1014671772 1027198584 1071859392 1127413080 1141331760 1155598407 1176431040 1190954880 1202573952 1205841816 1217420544 1268339715 1283998230 1319898240 1336193280 1339824240 1352895696 1369598112 1411717248 1429145856 1503217440 1507302270 1521775680 1540797876 1568574720 1583877888 1607789088 1691119620 1711997640 1764646560 1786432320 1803860928 1808762724 1826130816 1925997345 1979847360 2004289920 2009736360 2029034240 2029343544 2054397168 2143718784 2254826160 2260953405 2282663520 2311196814 2352862080 2381909760 2405147904 2411683632 2536679430 2567996460 2639796480 2679648480 2705791392 2739196224 2823434496 3006434880 3014604540 3043551360 3081595752 3215578176 3382239240 3423995280 3466795221 3529293120 3572864640 3607721856 3617525448 3652261632 3851994690 3959694720 4008579840 4019472720 4058687088 4108794336 4287437568 4509652320 4521906810 4565327040 4622393628 4705724160 4823367264 5073358860 5135992920 5359296960 5411582784 5478392448 5777992035 6012869760 6029209080 6087102720 6163191504 6431156352 6764478480 6847990560 6933590442 7058586240 7145729280 7215443712 7235050896 7703989380 7919389440 8038945440 8117374176 8217588672 9019304640 9043813620 9130654080 9244787256 9646734528 10146717720 10271985840 10400385663 10718593920 10823165568 10956784896 11555984070 12025739520 12058418160 12326383008 12862312704 13528956960 13695981120 13867180884 14117172480 14470101792 15407978760 16077890880 16234748352 16435177344 17333976105 18038609280 18087627240 18261308160 18489574512 19293469056 20293435440 20543971680 20800771326 21437187840 21646331136 23111968140 24116836320 24652766016 27057913920 27391962240 27734361768 28940203584 30815957520 32155781760 32469496704 32870354688 34667952210 36077218560 36175254480 36979149024 38586938112 40586870880 41087943360 41601542652 46223936280 48233672640 49305532032 52001928315 54115827840 54783924480 55468723536 57880407168 61631915040 64311563520 64938993408 69335904420 72350508960 73958298048 81173741760 82175886720 83203085304 92447872560 96467345280 98611064064 104003856630 108231655680 110937447072 115760814336 123263830080 138671808840 144701017920 147916596096 162347483520 164351773440 166406170608 184895745120 192934690560 208007713260 221874894144 246527660160 277343617680 289402035840 295833192192 324694967040 332812341216 369791490240 416015426520 443749788288 493055320320 554687235360 578804071680 665624682432 739582980480 832030853040 887499576576 1109374470720 1331249364864 1479165960960 1664061706080 2218748941440 2662498729728 3328123412160 4437497882880 6656246824320 13312493648640
- Sum of all divisors σ(n): 51156156332736
- Sum of proper divisors (its aliquot sum) s(n): 37843662684096
- 13312493648640 is an abundant number, because the sum of its proper divisors (37843662684096) is greater than itself. Its abundance is 24531169035456
Bases of 13312493648640
- Binary: 110000011011100011100111010001111011000000002
- Hexadecimal: 0xC1B8E747B00
- Base-36: 4PVOB0000
Squares and roots of 13312493648640
- 13312493648640 squared (133124936486402) is 177222487145080339773849600
- 13312493648640 cubed (133124936486403) is 2359273234515066069461905973962604544000
-
The
square root of 13312493648640 is 3648629.0094554695 -
The
cube root of 13312493648640 is 23700.2614987971
Scales and comparisons
How big is 13312493648640?- 13,312,493,648,640 seconds is equal to 423,296 years, 6 weeks, 1 day, 14 hours, 24 minutes.
-
To count from 1 to 13,312,493,648,640 would take you about one million, fifty-eight thousand, two hundred forty 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 13312493648640 cubic inches would be around 1975 feet tall.
Recreational maths with 13312493648640
- 13312493648640 backwards is 04684639421331
- 13312493648640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13312493648640's digits is 54
- More coming soon!
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The information we have on file for 13312493648640 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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