135420077372832
135,420,077,372,832 is an even composite number composed of five prime numbers multiplied together.
What does the number 135420077372832 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
135420077372832 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135420077372832:
25 × 39 × 7 × 313 × 1031
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 31 × 31 × 31 × 1031)See below for interesting mathematical facts about the number 135420077372832 from the Numbermatics database.
Names of 135420077372832
- Cardinal: 135420077372832 can be written as One hundred thirty-five trillion, four hundred twenty billion, seventy-seven million, three hundred seventy-two thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 1.35420077372832 × 1014
Factors of 135420077372832
Divisors of 135420077372832
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 72 81 84 93 96 108 112 124 126 144 162 168 186 189 216 217 224 243 248 252 279 288 324 336 372 378 432 434 486 496 504 558 567 648 651 672 729 744 756 837 864 868 961 972 992 1008 1031 1116 1134 1296 1302 1458 1488 1512 1674 1701 1736 1922 1944 1953 2016 2062 2187 2232 2268 2511 2592 2604 2883 2916 2976 3024 3093 3348 3402 3472 3844 3888 3906 4124 4374 4464 4536 5022 5103 5208 5766 5832 5859 6048 6186 6561 6696 6727 6804 6944 7217 7533 7688 7776 7812 8248 8649 8748 8928 9072 9279 10044 10206 10416 11532 11664 11718 12372 13122 13392 13454 13608 14434 15066 15309 15376 15624 16496 17298 17496 17577 18144 18558 19683 20088 20181 20412 20832 21651 22599 23064 23328 23436 24744 25947 26244 26784 26908 27216 27837 28868 29791 30132 30618 30752 31248 31961 32992 34596 34992 35154 37116 39366 40176 40362 40824 43302 45198 45927 46128 46872 49488 51894 52488 52731 53816 54432 55674 57736 59582 60264 60543 61236 62496 63922 64953 67797 69192 69984 70308 74232 77841 78732 80352 80724 81648 83511 86604 89373 90396 91854 92256 93744 95883 98976 103788 104976 105462 107632 111348 115472 119164 120528 121086 122472 127844 129906 135594 137781 138384 140616 148464 155682 157464 158193 161448 163296 167022 173208 178746 180792 181629 183708 187488 191766 194859 203391 207576 208537 209952 210924 215264 222696 223727 230944 233523 238328 241056 242172 244944 250533 255688 259812 268119 271188 275562 276768 281232 287649 296928 311364 314928 316386 322896 334044 346416 357492 361584 363258 367416 383532 389718 406782 415152 417074 421848 445392 447454 467046 474579 476656 484344 489888 501066 511376 519624 536238 542376 544887 551124 562464 575298 584577 610173 622728 625611 629856 632772 645792 668088 671181 692832 700569 714984 723168 726516 734832 751599 767064 779436 804357 813564 830304 834148 843696 862947 890784 894908 934092 949158 953312 968688 990791 1002132 1022752 1039248 1072476 1084752 1089774 1102248 1150596 1169154 1220346 1245456 1251222 1265544 1336176 1342362 1401138 1423737 1429968 1453032 1469664 1503198 1534128 1558872 1608714 1627128 1634661 1668296 1687392 1725894 1753731 1789816 1868184 1876833 1898316 1937376 1981582 2004264 2013543 2078496 2101707 2144952 2169504 2179548 2204496 2254797 2301192 2338308 2413071 2440692 2490912 2502444 2531088 2588841 2672352 2684724 2802276 2847474 2859936 2906064 2972373 3006396 3068256 3117744 3217428 3254256 3269322 3336592 3451788 3507462 3579632 3736368 3753666 3796632 3963164 4008528 4027086 4203414 4271211 4289904 4359096 4408992 4509594 4602384 4676616 4826142 4881384 4903983 5004888 5062176 5177682 5261193 5369448 5604552 5630499 5694948 5812128 5944746 6012792 6040629 6235488 6305121 6434856 6508512 6538644 6673184 6764391 6903576 6935537 7014924 7159264 7239213 7472736 7507332 7593264 7766523 7926328 8017056 8054172 8406828 8542422 8579808 8718192 8917119 9019188 9204768 9353232 9652284 9762768 9807966 10009776 10355364 10522386 10738896 11209104 11260998 11389896 11889492 12025584 12081258 12610242 12869712 13077288 13528782 13807152 13871074 14029848 14478426 14711949 15014664 15186528 15533046 15783579 15852656 16108344 16813656 16891497 17084844 17436384 17834238 18038376 18121887 18706464 18915363 19304568 19525536 19615932 20019552 20293173 20710728 20806611 21044772 21477792 21717639 22418208 22521996 22779792 23299569 23778984 24051168 24162516 25220484 25739424 26154576 26751357 27057564 27614304 27742148 28059696 28956852 29423898 30029328 30714521 31066092 31567158 31705312 32216688 33627312 33782994 34169688 35668476 36076752 36243774 37830726 38609136 39231864 40586346 41421456 41613222 42089544 43435278 44135847 45043992 45559584 46599138 47350737 47557968 48325032 50440968 50674491 52309152 53502714 54115128 54365661 55484296 56119392 57913704 58847796 60058656 61429042 62132184 62419833 63134316 64433376 65152917 67254624 67565988 68339376 69898707 71336952 72153504 72487548 75661452 77218272 78463728 80254071 81172692 82842912 83226444 84179088 86870556 88271694 90087984 92143563 93198276 94701474 95115936 96650064 100881936 101348982 107005428 108230256 108731322 110968592 115827408 117695592 122858084 124264368 124839666 126268632 130305834 132407541 135131976 136678752 139797414 142052211 142673904 144975096 151322904 152023473 156927456 160508142 162345384 163096983 166452888 168358176 173741112 176543388 180175968 184287126 186396552 187259499 189402948 193300128 195458751 201763872 202697964 209696121 214010856 215001647 216460512 217462644 221937184 231654816 235391184 240762213 245716168 248528736 249679332 252537264 260611668 264815082 270263952 276430689 279594828 284104422 285347808 289950192 302645808 304046946 321016284 324690768 326193966 332905776 347482224 353086776 368574252 372793104 374518998 378805896 390917502 405395928 419392242 428021712 430003294 434925288 456070419 470782368 481524426 489290949 491432336 499358664 505074528 521223336 529630164 540527904 552861378 559189656 561778497 568208844 579900384 586376253 605291616 608093892 629088363 642032568 645004941 649381536 652387932 665811552 694964448 706173552 722286639 737148504 745586208 749037996 757611792 781835004 810791856 829292067 838784484 856043424 860006588 869850576 912140838 963048852 978581898 982864672 998717328 1042446672 1059260328 1105722756 1118379312 1123556994 1136417688 1172752506 1216187784 1258176726 1284065136 1290009882 1304775864 1368211257 1412347104 1444573278 1467872847 1474297008 1498075992 1515223584 1563670008 1621583712 1658584134 1677568968 1685335491 1720013176 1739701152 1824281676 1926097704 1935014823 1957163796 1997434656 2084893344 2118520656 2166859917 2211445512 2236758624 2247113988 2272835376 2345505012 2432375568 2487876201 2516353452 2568130272 2580019764 2609551728 2736422514 2889146556 2935745694 2948594016 2996151984 3127340016 3317168268 3355137936 3370670982 3440026352 3648563352 3852195408 3870029646 3914327592 4104633771 4237041312 4333719834 4403618541 4422891024 4494227976 4545670752 4691010024 4864751136 4975752402 5032706904 5056006473 5160039528 5219103456 5472845028 5778293112 5805044469 5871491388 5992303968 6254680032 6500579751 6634336536 6710275872 6741341964 6880052704 7297126704 7463628603 7704390816 7740059292 7828655184 8209267542 8667439668 8807237082 8845782048 8988455952 9382020048 9951504804 10065413808 10112012946 10320079056 10945690056 11556586224 11610088938 11742982776 13001159502 13268673072 13482683928 14594253408 14927257206 15168019419 15480118584 15657310368 16418535084 17334879336 17415133407 17614474164 17976911904 18764040096 19501739253 19903009608 20130827616 20224025892 20640158112 21891380112 22390885809 23113172448 23220177876 23485965552 26002319004 26537346144 26965367856 29854514412 30336038838 30960237168 32837070168 34669758672 34830266814 35228948328 39003478506 39806019216 40448051784 43782760224 44781771618 45504058257 46440355752 46971931104 52004638008 52245400221 53930735712 59709028824 60672077676 61920474336 65674140336 67172657427 69339517344 69660533628 70457896656 78006957012 79612038432 80896103568 89563543236 91008116514 92880711504 104009276016 104490800442 119418057648 121344155352 131348280672 134345314854 136512174771 139321067256 140915793312 156013914024 156736200663 161792207136 179127086472 182016233028 185761423008 201517972281 208018552032 208981600884 238836115296 242688310704 268690629708 273024349542 278642134512 312027828048 313472401326 358254172944 364032466056 403035944562 417963201768 470208601989 485376621408 537381259416 546048699084 557284269024 604553916843 624055656096 626944802652 716508345888 728064932112 806071889124 835926403536 940417203978 1074762518832 1092097398168 1209107833686 1253889605304 1410625805967 1456129864224 1612143778248 1671852807072 1880834407956 2149525037664 2184194796336 2418215667372 2507779210608 2821251611934 3224287556496 3761668815912 4231877417901 4368389592672 4836431334744 5015558421216 5642503223868 6448575112992 7523337631824 8463754835802 9672862669488 11285006447736 15046675263648 16927509671604 19345725338976 22570012895472 33855019343208 45140025790944 67710038686416 135420077372832
- Sum of all divisors σ(n): 472727079272448
- Sum of proper divisors (its aliquot sum) s(n): 337307001899616
- 135420077372832 is an abundant number, because the sum of its proper divisors (337307001899616) is greater than itself. Its abundance is 201886924526784
Bases of 135420077372832
- Binary: 111101100101001111100011001101101110101101000002
- Hexadecimal: 0x7B29F19B75A0
- Base-36: 1C034HMI00
Squares and roots of 135420077372832
- 135420077372832 squared (1354200773728322) is 18338597355663805435131700224
- 135420077372832 cubed (1354200773728323) is 2483414272813204847445401257466019305914368
-
The
square root of 135420077372832 is 11637013.2496629907 -
The
cube root of 135420077372832 is 51352.4323576831
Scales and comparisons
How big is 135420077372832?- 135,420,077,372,832 seconds is equal to 4,305,939 years, 30 weeks, 15 hours, 7 minutes, 12 seconds.
-
To count from 1 to 135,420,077,372,832 would take you about ten million, seven hundred sixty-four thousand, eight hundred forty-eight 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 135420077372832 cubic inches would be around 4279.4 feet tall.
Recreational maths with 135420077372832
- 135420077372832 backwards is 238273770024531
- 135420077372832 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135420077372832's digits is 54
- More coming soon!
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The information we have on file for 135420077372832 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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