135400080816
135,400,080,816 is an even composite number composed of eight prime numbers multiplied together.
135400080816 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 135400080816:
24 × 34 × 7 × 11 × 13 × 29 × 59 × 61
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 13 × 29 × 59 × 61)See below for interesting mathematical facts about the number 135400080816 from the Numbermatics database.
Names of 135400080816
- Cardinal: 135400080816 can be written as One hundred thirty-five billion, four hundred million, eighty thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.35400080816 × 1011
Factors of 135400080816
Divisors of 135400080816
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 29 33 36 39 42 44 48 52 54 56 58 59 61 63 66 72 77 78 81 84 87 88 91 99 104 108 112 116 117 118 122 126 132 143 144 154 156 162 168 174 176 177 182 183 189 198 203 208 216 231 232 234 236 244 252 261 264 273 286 297 308 312 319 324 336 348 351 354 364 366 377 378 396 406 413 427 429 432 462 464 468 472 488 504 522 528 531 546 549 567 572 594 609 616 624 638 648 649 671 693 696 702 708 728 732 754 756 767 783 792 793 812 819 826 854 858 891 924 936 944 957 976 1001 1008 1044 1053 1062 1092 1098 1131 1134 1144 1188 1218 1232 1239 1276 1281 1287 1296 1298 1342 1386 1392 1404 1416 1456 1464 1508 1512 1534 1566 1584 1586 1593 1624 1638 1647 1652 1708 1711 1716 1769 1782 1827 1848 1872 1914 1947 2002 2013 2079 2088 2106 2124 2184 2196 2233 2262 2268 2288 2301 2349 2376 2379 2436 2457 2478 2552 2562 2574 2596 2639 2684 2772 2808 2832 2871 2928 3003 3016 3024 3068 3132 3172 3186 3248 3276 3294 3304 3393 3416 3422 3432 3538 3564 3599 3654 3696 3717 3828 3843 3861 3894 4004 4026 4147 4158 4176 4212 4248 4368 4392 4466 4524 4536 4543 4602 4697 4698 4752 4758 4779 4872 4914 4941 4956 5104 5124 5133 5148 5192 5278 5307 5368 5369 5481 5544 5551 5616 5742 5841 6006 6032 6039 6136 6237 6264 6344 6372 6552 6588 6608 6699 6786 6832 6844 6864 6903 7076 7128 7137 7198 7308 7371 7434 7656 7686 7722 7788 7917 8008 8052 8294 8316 8424 8437 8496 8613 8723 8784 8932 9009 9048 9072 9086 9204 9394 9396 9516 9558 9744 9828 9882 9912 10179 10248 10266 10296 10384 10556 10614 10736 10738 10797 10962 11088 11102 11151 11484 11529 11583 11682 11977 12012 12078 12272 12383 12441 12474 12528 12688 12744 13104 13176 13398 13572 13629 13688 13806 14091 14152 14256 14274 14396 14616 14742 14868 15312 15372 15399 15444 15576 15834 15921 16016 16104 16107 16443 16588 16632 16653 16848 16874 17226 17446 17523 17864 18018 18096 18117 18172 18408 18788 18792 18821 19032 19116 19459 19656 19764 19824 20097 20358 20496 20532 20592 20709 21112 21228 21411 21476 21594 21924 22204 22243 22302 22968 22997 23058 23166 23364 23751 23954 24024 24156 24766 24882 24948 25193 25311 25488 25839 26169 26352 26796 27027 27144 27258 27376 27612 28182 28304 28548 28792 29029 29232 29484 29736 30537 30744 30798 30888 31152 31668 31842 32208 32214 32391 32886 33176 33264 33306 33453 33748 34452 34587 34892 35046 35728 35931 36036 36234 36344 36816 37149 37323 37576 37584 37642 38064 38232 38918 39312 39528 39589 40194 40716 40887 41064 41418 42224 42273 42456 42822 42952 43188 43848 44408 44486 44604 45936 45994 46116 46197 46332 46728 46787 47502 47763 47908 48048 48312 48321 49532 49764 49896 49959 50386 50622 51678 52338 52569 53592 54054 54288 54351 54516 55224 56364 56463 57096 57584 58058 58377 58968 59059 59472 60291 61061 61074 61488 61596 61776 62127 63336 63684 64233 64428 64782 65772 66352 66612 66729 66906 67496 68904 68991 69174 69784 70092 71253 71862 72072 72468 72688 74298 74646 75152 75284 75579 75933 76464 77836 78507 79056 79178 80388 81081 81432 81774 82128 82836 84546 84912 85644 85904 86376 87087 87696 88816 88972 89208 91988 92232 92394 92664 93456 93574 95004 95526 95816 96624 96642 97173 99064 99528 99792 99918 100772 101244 103356 104371 104676 105138 107184 107793 108108 108702 109032 110448 111447 111969 112728 112926 114192 116116 116754 117936 118118 118767 120582 122122 122148 122661 123192 124254 126672 126819 127368 128466 128856 129564 131544 131747 133224 133458 133812 134992 136213 137808 137982 138348 138591 139568 140184 140361 142506 143289 143724 144144 144936 144963 148596 149292 149877 150568 151158 151866 155672 155701 157014 158356 160776 160979 162162 162864 163548 165672 169092 169389 171288 172752 174174 175131 177177 177944 178416 180873 183183 183976 184464 184788 185328 187148 190008 191052 191632 193284 194346 198128 199056 199836 200187 201544 202488 206712 206973 208742 209352 210276 213759 215586 216216 217404 218064 222894 223938 225456 225852 226737 227799 232232 233508 235521 236236 237534 241164 244244 244296 244673 245322 246384 248508 252967 253638 254736 256932 257712 259128 261261 263088 263494 266448 266916 267624 272426 275964 276696 277123 277182 280368 280722 285012 286578 287448 289872 289926 291519 297192 298584 299754 301136 302316 303732 311344 311402 313113 314028 316712 321552 321958 323379 324324 327096 327509 331344 334341 335907 338184 338778 342576 348348 350262 354354 355888 356301 361746 366366 367952 367983 369576 374296 380016 380457 382104 386568 388692 395241 399672 400374 403088 404976 408639 413424 413946 417484 418704 420552 421083 427518 431172 432432 434808 434889 445788 447876 449631 451704 453474 455598 464464 467016 467103 471042 472472 475068 482328 482937 488488 488592 489346 490644 497016 505934 507276 508167 513864 514657 518256 522522 525393 526988 531531 533832 535248 544852 549549 551928 553392 554246 554364 561444 570024 573156 574896 579852 583038 594384 597168 599508 600561 604632 607464 620919 622804 626226 628056 633424 643916 646758 648648 654192 655018 668682 671814 676368 677556 680211 683397 696696 700524 706563 708708 712602 723492 730597 732732 734019 735966 739152 748592 758901 760914 764208 773136 777384 783783 790482 799344 800748 817278 827892 831369 834968 841104 842166 855036 862344 869616 869778 891576 895752 899262 903408 906948 911196 934032 934206 939339 942084 944944 950136 964656 965874 970137 976976 978692 981288 982527 994032 1003023 1011868 1014552 1016334 1027728 1029314 1045044 1050786 1053976 1063062 1067664 1068903 1089704 1099098 1103856 1108492 1108728 1122888 1140048 1146312 1148081 1159704 1166076 1185723 1199016 1201122 1209264 1214928 1225917 1241838 1245608 1252452 1256112 1263249 1287832 1293516 1297296 1310036 1337364 1343628 1355112 1356823 1360422 1366794 1393392 1401048 1401309 1413126 1417416 1425204 1446984 1448811 1461194 1465464 1468038 1471932 1517802 1521828 1524501 1543971 1554768 1567566 1576179 1580964 1594593 1601496 1634556 1648647 1655784 1662738 1669936 1684332 1710072 1712711 1724688 1739556 1770769 1783152 1791504 1798524 1801683 1813896 1822392 1862757 1868412 1878678 1884168 1900272 1931748 1940274 1957384 1962576 1965054 2006046 2023736 2029104 2032668 2040633 2058628 2090088 2101572 2107952 2126124 2137806 2179408 2191791 2198196 2202057 2216984 2217456 2245776 2276703 2292624 2296162 2319408 2332152 2351349 2371446 2398032 2402244 2451834 2483676 2491216 2494107 2504904 2526498 2575664 2587032 2620072 2674728 2687256 2710224 2713646 2720844 2733588 2802096 2802618 2818017 2826252 2834832 2850408 2893968 2897622 2922388 2930928 2936076 2943864 2947581 3035604 3043656 3049002 3087942 3135132 3152358 3161928 3189186 3202992 3206709 3269112 3297294 3311568 3325476 3368664 3420144 3425422 3444243 3479112 3541538 3557169 3597048 3602599 3603366 3627792 3644784 3677751 3725514 3736824 3757356 3768336 3789747 3863496 3880548 3914768 3930108 4012092 4047472 4065336 4070469 4081266 4117256 4180176 4203144 4203927 4252248 4275612 4346433 4383582 4396392 4404114 4433968 4553406 4592324 4631913 4664304 4702698 4742892 4783779 4804488 4903668 4945941 4967352 4988214 5009808 5052996 5138133 5174064 5240144 5312307 5349456 5374512 5427292 5441688 5467176 5605236 5636034 5652504 5700816 5795244 5844776 5872152 5887728 5895162 6071208 6087312 6098004 6175884 6270264 6304716 6323856 6378372 6413418 6538224 6575373 6594588 6606171 6650952 6737328 6830109 6850844 6888486 6958224 7083076 7114338 7194096 7205198 7206732 7355502 7451028 7473648 7482321 7514712 7579494 7726992 7761096 7860216 8024184 8036567 8130672 8140938 8162532 8234512 8406288 8407854 8454051 8504496 8551224 8692866 8767164 8792784 8808228 8842743 9106812 9184648 9263826 9405396 9485784 9497761 9567558 9608976 9807336 9891882 9934704 9976428 10105992 10276266 10332729 10624614 10671507 10807797 10854584 10883376 10934352 11033253 11210472 11272068 11305008 11590488 11689552 11744304 11790324 12142416 12196008 12211407 12351768 12540528 12609432 12611781 12756744 12826836 13039299 13150746 13189176 13212342 13301904 13660218 13701688 13776972 13895739 14166152 14228676 14410396 14413464 14711004 14902056 14925053 14964642 15029424 15158988 15414399 15522192 15720432 15936921 16048368 16073134 16281876 16325064 16815708 16908102 17102448 17385732 17534328 17616456 17685486 18213624 18369296 18527652 18810792 18971568 18995522 19135116 19614672 19726119 19783764 19818513 19952856 20211984 20490327 20552532 20665458 21249228 21343014 21615594 21709168 22066506 22420944 22446963 22544136 23180976 23580648 24109701 24392016 24422814 24703536 25218864 25223562 25513488 25653672 26078598 26301492 26378352 26424684 26528229 27320436 27403376 27553944 27791478 28332304 28457352 28493283 28820792 28826928 29422008 29804112 29850106 29929284 30317976 30828798 30998187 31873842 32146268 32423391 32563752 32650128 33631416 33816204 34771464 35068656 35232912 35370972 36427248 36634221 37055304 37621584 37991044 38270232 39452238 39567528 39637026 39905712 40980654 41105064 41330916 41687217 42498456 42686028 43231188 44133012 44775159 44893926 45088272 46243197 47161296 47810763 48219402 48845628 50447124 51307344 52157196 52602984 52849368 53056458 54640872 55107888 55582956 56914704 56986566 57641584 58844016 59178357 59700212 59858568 60635952 61657596 61996374 63747684 64292536 64846782 65127504 67262832 67632408 69542928 70741944 72329103 73268442 74110608 75982088 76540464 78904476 79135056 79274052 81961308 82210128 82661832 83374434 84996912 85372056 85479849 86462376 88266024 89550318 89787852 92486394 92994561 95621526 96438804 97270173 97691256 100894248 104314392 104475371 105205968 105698736 106112916 109281744 109902663 111165912 113973132 118356714 119400424 119717136 123315192 123992748 127495368 128585072 129693564 134325477 135264816 138729591 141483888 143432289 144658206 146536884 151964176 157808952 158548104 163922616 165323664 166748868 170744112 170959698 172924752 176532048 179100636 179575704 184972788 185989122 191243052 192877608 194540346 195382512 201788496 208628784 208950742 212225832 216987309 219805326 222331824 227946264 236713428 238800848 246630384 247985496 254990736 256439547 259387128 268650954 277459182 286864578 289316412 291810519 293073768 313426113 315617904 317096208 327845232 333497736 341919396 358201272 359151408 369945576 371978244 382486104 385755216 389080692 402976431 417901484 424451664 433974618 439610652 455892528 473426856 495970992 512879094 518774256 537301908 554918364 573729156 578632824 583621038 586147536 626852226 650961927 666995472 683838792 716402544 739891152 743956488 764972208 769318641 778161384 805952862 835802968 867949236 879221304 940278339 946853712 1025758188 1074603816 1109836728 1147458312 1157265648 1167242076 1208929293 1253704452 1301923854 1367677584 1487912976 1538637282 1556322768 1611905724 1671605936 1735898472 1758442608 1880556678 2051516376 2149207632 2219673456 2294916624 2334484152 2417858586 2507408904 2603847708 2820835017 3077274564 3223811448 3471796944 3761113356 4103032752 4668968304 4835717172 5014817808 5207695416 5641670034 6154549128 6447622896 7522226712 8462505051 9671434344 10415390832 11283340068 12309098256 15044453424 16925010102 19342868688 22566680136 33850020204 45133360272 67700040408 135400080816
- Sum of all divisors σ(n): 562613990400
- Sum of proper divisors (its aliquot sum) s(n): 427213909584
- 135400080816 is an abundant number, because the sum of its proper divisors (427213909584) is greater than itself. Its abundance is 291813828768
Bases of 135400080816
- Binary: 11111100001100111100101000101101100002
- Hexadecimal: 0x1F867945B0
- Base-36: 1Q79PN00
Squares and roots of 135400080816
- 135400080816 squared (1354000808162) is 18333181884979331225856
- 135400080816 cubed (1354000808163) is 2482314308840628664470534748778496
-
The
square root of 135400080816 is 367967.4996735445 -
The
cube root of 135400080816 is 5134.9904612415
Scales and comparisons
How big is 135400080816?- 135,400,080,816 seconds is equal to 4,305 years, 15 weeks, 5 days, 13 hours, 33 minutes, 36 seconds.
-
To count from 1 to 135,400,080,816 would take you about eight thousand, six hundred ten 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 135400080816 cubic inches would be around 427.9 feet tall.
Recreational maths with 135400080816
- 135400080816 backwards is 618080004531
- 135400080816 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135400080816's digits is 36
- More coming soon!
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The information we have on file for 135400080816 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!
Keywords: Divisors of 135400080816, math, Factors of 135400080816, curriculum, school, college, exams, university, Prime factorization of 135400080816, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, four hundred million, eighty thousand, eight hundred sixteen.