13281613409680

Names of 13281613409680

• Cardinal: 13281613409680 can be written as Thirteen trillion, two hundred eighty-one billion, six hundred thirteen million, four hundred nine thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.328161340968 × 10¹³

Factors of 13281613409680

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 102

Divisors of 13281613409680

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 17 19 20 22 28 34 35 38 40 41 44 55 56 68 70 76 77 80 82 85 88 95 110 112 119 121 133 136 140 152 154 164 170 176 187 190 205 209 220 238 242 266 272 280 287 304 308 323 328 340 361 374 380 385 410 418 440 451 476 484 532 560 574 595 605 616 646 656 665 680 697 722 748 760 770 779 820 836 847 880 902 935 952 968 1045 1064 1148 1190 1210 1232 1292 1309 1330 1360 1394 1435 1444 1463 1496 1520 1540 1558 1615 1640 1672 1681 1694 1804 1805 1870 1904 1936 2057 2090 2128 2255 2261 2296 2299 2380 2420 2527 2584 2618 2660 2788 2870 2888 2926 2992 3080 3116 3157 3230 3280 3344 3362 3388 3485 3553 3608 3610 3740 3895 3971 4114 4180 4235 4510 4522 4592 4598 4760 4840 4879 4961 5054 5168 5236 5320 5453 5576 5740 5776 5852 6137 6160 6232 6314 6460 6545 6724 6776 6859 6970 7106 7216 7220 7315 7480 7667 7790 7942 8228 8360 8405 8470 8569 9020 9044 9196 9520 9680 9758 9922 10108 10285 10472 10640 10906 11152 11305 11480 11495 11704 11767 12274 12464 12628 12635 12920 13090 13243 13448 13552 13718 13940 14212 14399 14440 14630 14801 14960 15334 15580 15785 15884 16093 16456 16720 16810 16940 17138 17765 18040 18088 18392 18491 19516 19844 19855 20216 20570 20944 21812 22610 22960 22990 23408 23534 24395 24548 24805 24871 25256 25270 25840 26180 26486 26896 27265 27436 27797 27880 28424 28577 28798 28880 29260 29602 30668 30685 31160 31570 31768 31939 32186 32912 33620 33880 34276 34295 34727 35530 36080 36176 36784 36982 38335 39032 39083 39688 39710 40432 41140 42845 42959 43624 43681 45220 45980 47068 48013 48790 49096 49610 49742 50512 50540 52360 52972 53669 54530 54872 55594 55760 56848 57154 57596 58520 58835 59204 59983 61336 61370 62320 63140 63536 63878 64372 66215 67240 67507 67760 68552 68590 69454 71060 71995 73964 74005 75449 76670 78064 78166 79376 79420 80465 82280 84337 85690 85918 87248 87362 90440 91960 92455 92701 94136 94259 96026 97580 98192 99220 99484 101080 103607 104720 105944 107338 109060 109744 111188 114308 115192 116603 117040 117670 118408 119966 122672 122740 124355 126280 127756 128744 129437 132430 134480 135014 137104 137180 138908 138985 142120 142885 143990 145673 147928 148010 150898 153340 156332 158840 159695 160930 162811 164560 168674 171380 171836 173635 174724 180880 183920 184910 185402 188272 188518 192052 195160 195415 198440 198968 200039 202160 203401 207214 211888 214676 214795 218120 218405 222376 223573 228616 230384 233206 235340 236816 239932 240065 245480 248710 251617 252560 255512 257488 258874 264860 268345 270028 273581 274360 277816 277970 281219 284240 285770 287980 291346 295856 296020 299915 301796 305767 306680 312664 314347 317680 319390 321860 325622 337348 337535 342760 343672 347270 349448 351329 369820 370804 377036 377245 384104 390320 390830 396880 397936 400078 406802 414428 421685 429352 429590 436240 436810 444752 447146 457232 463505 466412 470680 471295 472549 479864 480130 490960 497420 503234 511024 517748 518035 528143 529720 536690 540056 542963 547162 548720 555632 555940 562438 571540 575960 582692 583015 590359 592040 599830 603592 606841 611534 613360 625328 628694 638780 643720 647185 651244 659813 674696 675070 685520 687344 694540 698896 702658 728365 739640 741608 742577 754072 754490 768208 781660 800156 813604 814055 816221 828856 829939 843370 858704 859180 873620 894292 927010 932824 941360 942590 945098 959728 960260 994840 1000195 1006468 1017005 1019711 1035496 1036070 1056286 1059440 1073380 1080112 1085926 1094324 1111880 1117865 1124876 1139677 1143080 1151920 1165384 1166030 1180718 1184080 1199660 1207184 1213682 1223068 1257388 1258085 1277560 1282633 1287440 1294370 1302488 1319626 1349392 1350140 1367905 1389080 1405316 1406095 1423807 1456730 1479280 1483216 1485154 1508144 1508980 1528835 1563320 1571735 1600312 1602403 1627208 1628110 1632442 1657712 1659878 1686740 1718360 1747240 1756645 1761319 1788584 1790921 1854020 1865648 1885180 1890196 1920520 1968533 1989680 2000390 2012936 2034010 2039422 2070992 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70544815 71636840 71827448 72214079 73427761 76014820 76491568 77292380 77498036 78741320 80709853 81576880 82530376 83168624 83616302 84957740 86615452 88017160 89734568 89784310 91174160 92239832 92953168 93453514 95561488 95614460 96818876 96872545 98372120 98762741 100291576 102610640 103162970 103960780 105175906 106804016 108209332 108269315 110711480 112168210 112871704 113479267 113904560 115299790 116191460 119451860 121023595 121782628 123736360 125364470 126829769 128192240 131397046 133505020 133860244 135261665 136109996 138312680 140905520 141089630 143273680 143654896 144428158 146855522 152029640 152228285 154584760 154996072 157482640 161419706 165060752 167232604 167325305 169915480 170137495 173230904 176034320 179469136 179568620 184479664 186907028 191228920 193637752 193745090 196009643 196744240 197525482 200583152 206325940 207921560 209040755 210351812 213119599 216418664 216538630 221422960 224336420 225743408 226958534 230599580 232382920 233633785 238192493 238903720 242047190 243565256 247472720 250728940 253659538 262794092 262939765 267010040 267720488 270523330 272219992 276625360 282179260 288856316 293711044 304059280 304456570 309169520 309992144 322839412 328492615 334465208 334650610 339830960 340274990 346461808 359137240 361070395 367138805 368115671 373814056 382457840 387275504 387490180 392019286 395050964 403549265 412651880 415843120 418081510 420703624 426239198 432837328 433077260 448672840 453917068 459889661 461199160 464765840 467267570 476384986 477807440 484094380 487130512 493813705 501457880 507319076 513994327 525588184 525879530 534020080 535440976 541046660 544439984 564358520 567396335 577712632 578467483 587422088 608913140 634148845 645678824 656985230 668930416 669301220 680549980 718274480 722140790 734277610 736231342 747628112 774980360 784038572 790101928 794354869 807098530 825303760 836163020 841407248 852478396 866154520 887808383 897345680 907834136 919779322 922398320 934535140 952769972 968188760 980048215 987627410 1002915760 1014638152 1027988654 1051176368 1051759060 1065597995 1082093320 1128717040 1134792670 1155425264 1156934966 1174844176 1190962465 1217826280 1248271937 1268297690 1291357648 1313970460 1338602440 1361099960 1372067501 1395127459 1444281580 1468555220 1472462684 1549960720 1568077144 1580203856 1588709738 1614197060 1672326040 1704956792 1732309040 1775616766 1815668272 1839558644 1840578355 1869070280 1905539944 1936377520 1960096430 1975254820 2029276304 2055977308 2103518120 2131195990 2156106073 2164186640 2269585340 2299448305 2313869932 2381924930 2435652560 2496543874 2536595380 2569971635 2627940920 2677204880 2722199920 2744135002 2790254918 2888563160 2892337415 2937110440 2944925368 3136154288 3177419476 3228394120 3344652080 3409913584 3551233532 3679117288 3681156710 3738140560 3811079888 3920192860 3950509640 3971774345 4049272381 4111954616 4207036240 4262391980 4312212146 4439041915 4539170680 4598896610 4627739864 4763849860 4993087748 5073190760 5139943270 5255881840 5488270004 5580509836 5777126320 5784674830 5874220880 5889850736 6241359685 6354838952 6456788240 6860337505 6975637295 7102467064 7358234576 7362313420 7840385720 7901019280 7943548690 8098544762 8223909232 8524783960 8624424292 8737903559 8878083830 9078341360 9197793220 9255479728 9527699720 9765892213 9986175496 10146381520 10279886540 10780530365 10976540008 11161019672 11569349660 12482719370 12709677904 13720675010 13951274590 14204934128 14724626840 15092742511 15680771440 15887097380 16197089524 17049567920 17248848584 17475807118 17756167660 18395586440 19055399440 19531784426 19972350992 20246361905 20559773080 21561060730 21953080016 22322039344 23138699320 23717166803 24965438740 27441350020 27902549180 29449253680 30185485022 31774194760 32394179048 34497697168 34951614236 35512335320 36791172880 39063568852 40492723810 41119546160 43122121460 43689517795 46277398640 47434333606 48829461065 49930877480 54882700040 55805098360 60370970044 63548389520 64788358096 69903228472 71024670640 75463712555 78127137704 80985447620 86244242920 87379035590 94868667212 97658922130 99861754960 109765400080 111610196720 118585834015 120741940088 139806456944 150927425110 156254275408 161970895240 166020167621 172488485840 174758071180 189737334424 195317844260 237171668030 241483880176 301854850220 323941790480 332040335242 349516142360 379474668848 390635688520 474343336060 603709700440 664080670484 699032284720 781271377040 830100838105 948686672120 1207419400880 1328161340968 1660201676210 1897373344240 2656322681936 3320403352420 6640806704840 13281613409680
• Sum of all divisors σ(n): 44437633309440
• Sum of proper divisors (its aliquot sum) s(n): 31156019899760
• 13281613409680 is an abundant number, because the sum of its proper divisors (31156019899760) is greater than itself. Its abundance is 17874406490080

Bases of 13281613409680

• Binary: 11000001010001011101110110010110110110010000₂
• Hexadecimal: 0xC145DD96D90
• Base-36: 4PHHLPB4G

Squares and roots of 13281613409680

• 13281613409680 squared (13281613409680²) is 176401254764191595517702400
• 13281613409680 cubed (13281613409680³) is 2342893270760465081312670777663519232000
• The square root of 13281613409680 is 3644394.7933340043
• The cube root of 13281613409680 is 23681.9219254483

Scales and comparisons

• 13,281,613,409,680 seconds is equal to 422,314 years, 11 weeks, 4 days, 10 hours, 14 minutes, 40 seconds.
• To count from 1 to 13,281,613,409,680 would take you about one million, fifty-five thousand, seven 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 13281613409680 cubic inches would be around 1973.5 feet tall.

Recreational maths with 13281613409680

• 13281613409680 backwards is 08690431618231
• The number of decimal digits it has is: 14
• The sum of 13281613409680's digits is 52
• More coming soon!