135364991726448
135,364,991,726,448 is an even composite number composed of six prime numbers multiplied together.
What does the number 135364991726448 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
135364991726448 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 135364991726448:
24 × 32 × 113 × 172 × 37 × 2572
(2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 17 × 17 × 37 × 257 × 257)See below for interesting mathematical facts about the number 135364991726448 from the Numbermatics database.
Names of 135364991726448
- Cardinal: 135364991726448 can be written as One hundred thirty-five trillion, three hundred sixty-four billion, nine hundred ninety-one million, seven hundred twenty-six thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.35364991726448 × 1014
Factors of 135364991726448
Divisors of 135364991726448
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 37 44 48 51 66 68 72 74 88 99 102 111 121 132 136 144 148 153 176 187 198 204 222 242 257 264 272 289 296 306 333 363 374 396 407 408 444 484 514 528 561 578 592 612 629 666 726 748 771 792 814 816 867 888 968 1028 1089 1122 1156 1221 1224 1258 1331 1332 1452 1496 1542 1584 1628 1683 1734 1776 1887 1936 2056 2057 2178 2244 2312 2313 2442 2448 2516 2601 2662 2664 2827 2904 2992 3084 3179 3256 3366 3468 3663 3774 3993 4112 4114 4356 4369 4477 4488 4624 4626 4884 5032 5202 5324 5328 5654 5661 5808 6168 6171 6358 6512 6732 6919 6936 7326 7548 7986 8228 8481 8712 8738 8954 8976 9252 9509 9537 9768 10064 10404 10648 10693 11308 11322 11979 12336 12342 12716 13107 13431 13464 13838 13872 14652 15096 15972 16456 16962 17424 17476 17908 18504 18513 19018 19074 19536 20757 20808 21296 21386 22616 22627 22644 23958 24684 25432 25443 26214 26862 26928 27676 28527 28611 29304 30192 31097 31944 32079 32912 33924 34952 34969 35816 37008 37026 38036 38148 39321 40293 41514 41616 42772 45232 45254 45288 47916 48059 49247 49368 50864 50886 52428 53724 55352 57054 57222 58608 62194 62271 63888 64158 66049 67848 67881 69904 69938 71632 74052 74273 76072 76109 76296 78642 80586 83028 85544 85581 90508 90576 93291 95832 96118 96237 98494 98736 101772 104599 104856 104907 107448 110704 114108 114444 117623 124388 124542 128316 132098 135696 135762 139876 144177 147741 148104 148546 152144 152218 152592 157284 161172 161653 166056 171088 171162 181016 186582 191664 192236 192474 196988 198147 203544 203643 209198 209712 209814 214896 222819 228216 228327 228888 235246 248776 249084 256632 264196 271524 279752 279873 288354 295482 296208 297092 304436 313797 314568 314721 322344 323306 332112 342067 342324 352869 362032 373164 384472 384659 384948 393976 396294 407088 407286 418396 419628 432531 443223 445638 456432 456654 457776 470492 484959 497552 498168 513264 528392 528649 543048 559504 559746 576708 590964 594184 594441 608872 627594 629136 629442 644688 646612 668457 684134 684648 684981 705738 726539 746328 768944 769318 769896 787952 792588 814572 817003 836792 837199 839256 865062 886446 891276 913308 940984 941391 969918 996336 1026201 1056784 1057298 1058607 1086096 1119492 1122833 1150589 1153416 1153977 1181928 1188368 1188882 1217744 1255188 1258884 1293224 1293853 1336914 1368268 1369296 1369962 1411476 1453078 1454877 1492656 1538636 1539792 1585176 1585947 1629144 1634006 1673584 1674398 1678512 1730124 1772892 1778183 1782552 1826616 1881968 1882782 1939836 2052402 2114596 2117214 2179617 2238984 2245666 2301178 2306832 2307954 2363856 2377764 2443813 2451009 2510376 2511597 2517768 2586448 2587706 2673828 2736536 2739924 2748101 2822952 2906156 2909754 3077272 3078603 3170352 3171894 3258288 3268012 3348796 3368499 3451767 3460248 3461931 3545784 3556366 3565104 3653232 3765564 3879672 3881559 4104804 4229192 4234428 4359234 4477968 4491332 4602356 4615908 4755528 4757841 4887626 4902018 5020752 5023194 5035536 5175412 5334549 5347656 5473072 5479848 5496202 5645904 5812312 5815139 5819508 6154544 6157206 6343788 6536024 6538851 6697592 6736998 6903534 6920496 6923862 7091568 7112732 7331439 7353027 7531128 7534791 7759344 7763118 7991929 8209608 8244303 8458384 8468856 8718468 8982664 8987033 9204712 9231816 9511056 9515682 9775252 9804036 10046388 10105497 10350824 10355301 10669098 10695312 10959696 10992404 11624624 11630278 11639016 11644677 12314412 12351163 12656479 12687576 13072048 13077702 13395184 13473996 13807068 13847724 14225464 14232383 14662878 14706054 15062256 15069582 15526236 15983858 16003647 16419216 16488606 16937712 17436936 17445417 17965328 17974066 18409424 18463632 19031364 19088161 19550504 19560013 19608072 20092776 20210994 20701648 20710602 21338196 21984808 21994317 23260556 23278032 23289354 23975787 24628824 24702326 24732909 25312958 25375152 26155404 26881943 26947992 26961099 27614136 27695448 28450928 28464766 29325756 29412108 30139164 30229111 31052472 31967716 32007294 32977212 34873872 34890834 35948132 37053489 37969437 38062728 38176322 39101008 39120026 39216144 40185552 40421988 41421204 41544821 42676392 42697149 43969616 43988634 46521112 46578708 47951574 49257648 49404652 49465818 50625916 52310808 52336251 53763886 53895984 53922198 55228272 55390896 56929532 57264483 58651512 58680039 58824216 60278328 60458222 62104944 63935432 64014588 65954424 69781668 71896264 71927361 74106978 75938874 76125456 76352644 78240052 80645829 80843976 80883297 82842408 83089642 85352784 85394298 87911219 87977268 90687333 93042224 93157416 95903148 98809304 98857363 98931636 101251832 104621616 104672502 107527772 107844396 111160467 113859064 113908311 114528966 117303024 117360078 117648432 120556656 120916444 124634463 127870864 128029176 128091447 131908848 135862793 139563336 143792528 143854722 148213956 151877748 152705288 156480104 161291658 161687952 161766594 165684816 166179284 170788596 171793449 175822438 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997560663 1024731576 1054934628 1086902344 1088247996 1150837776 1182805492 1186288356 1222765137 1259818626 1290333264 1290960858 1294132752 1330080884 1370979093 1374347592 1406579504 1408320936 1412523914 1450997328 1494490723 1495613556 1581717808 1582401942 1630353516 1679758168 1721281144 1774208238 1778567472 1779432534 1822532976 1827972124 1889727939 1935499896 1936441287 1994151408 1995121326 2049463152 2109869256 2118785871 2173804688 2176495992 2309667481 2365610984 2372576712 2445530274 2519637252 2581921716 2660161768 2661312357 2741958186 2748695184 2816641872 2825047828 2988981446 2991227112 2992681989 3164803884 3252715103 3260707032 3359516336 3442562288 3548416476 3558865068 3655944248 3657722431 3779455878 3870999792 3872882574 3990242652 4112937279 4219738512 4237571742 4352991984 4483472169 4619334962 4731221968 4745153424 4891060548 5026923341 5039274504 5163843432 5320323536 5322624714 5483916372 5650095656 5977962892 5982454224 5985363978 6329607768 6356357613 6505430206 6521414064 6929002443 7096832952 7117730136 7311888496 7315444862 7558911756 7745765148 7768881527 7980485304 8225874558 8475143484 8966944338 9238669924 9758145309 9782121096 10053846682 10078549008 10327686864 10645249428 10967832744 10973167293 11300191312 11955925784 11970727956 12659215536 12712715226 13010860412 13450416507 13858004886 14193665904 14235460272 14630889724 15080770023 15117823512 15491530296 15537763054 15960970608 16451749116 16950286968 17933888676 18477339848 19516290618 19564242192 20107693364 20787007329 21290498856 21935665488 21946334586 23306644581 23911851568 23941455912 25406342291 25425430452 26021720824 26900833014 27716009772 29261779448 29274435927 30161540046 30235647024 30983060592 31075526108 32903498232 32919501879 33900573936 35867777352 36954679696 39032581236 40215386728 41574014658 42580997712 43892669172 45242310069 46613289162 47882911824 50812684582 50850860904 52043441648 53801666028 55296156751 55432019544 58523558896 58548871854 60323080092 62151052216 65806996464 65839003758 69919933743 71735554704 76219026873 78065162472 80430773456 83148029316 85457696797 87785338344 90484620138 93226578324 101625369164 101701721808 107603332056 110592313502 110864039088 117097743708 120646160184 124302104432 131678007516 139839867486 152438053746 156130324944 165888470253 166296058632 170915393594 175570676688 180969240276 186453156648 203250738328 215206664112 221184627004 228657080619 234195487416 241292320368 256373090391 263356015032 279679734972 304876107492 331776940506 332592117264 341830787188 361938480552 372906313296 406501476656 442369254008 457314161238 468390974832 497665410759 512746180782 526712030064 559359469944 609752214984 663553881012 683661574376 723876961104 769119271173 884738508016 914628322476 940034664767 995330821518 1025492361564 1118718939888 1219504429968 1327107762024 1367323148752 1538238542346 1829256644952 1880069329534 1990661643036 2050984723128 2654215524048 2820103994301 3076477084692 3658513289904 3760138659068 3981323286072 4101969446256 5640207988602 6152954169384 7520277318136 7962646572144 8460311982903 11280415977204 12305908338768 15040554636272 16920623965806 22560831954408 33841247931612 45121663908816 67682495863224 135364991726448
- Sum of all divisors σ(n): 456380914280304
- Sum of proper divisors (its aliquot sum) s(n): 321015922553856
- 135364991726448 is an abundant number, because the sum of its proper divisors (321015922553856) is greater than itself. Its abundance is 185650930827408
Bases of 135364991726448
- Binary: 111101100011101000111100011111100110011011100002
- Hexadecimal: 0x7B1D1E3F3370
- Base-36: 1BZDTH1X80
Squares and roots of 135364991726448
- 135364991726448 squared (1353649917264482) is 18323680985101335491662696704
- 135364991726448 cubed (1353649917264483) is 2480384924946314817181796479620072359227392
-
The
square root of 135364991726448 is 11634646.1796845373 -
The
cube root of 135364991726448 is 51345.4684332005
Scales and comparisons
How big is 135364991726448?- 135,364,991,726,448 seconds is equal to 4,304,188 years, 1 week, 2 days, 6 hours, 40 minutes, 48 seconds.
-
To count from 1 to 135,364,991,726,448 would take you about ten million, seven hundred sixty thousand, four hundred seventy 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 135364991726448 cubic inches would be around 4278.8 feet tall.
Recreational maths with 135364991726448
- 135364991726448 backwards is 844627199463531
- 135364991726448 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135364991726448's digits is 72
- More coming soon!
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The information we have on file for 135364991726448 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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