34688421827136

Names of 34688421827136

• Cardinal: 34688421827136 can be written as Thirty-four trillion, six hundred eighty-eight billion, four hundred twenty-one million, eight hundred twenty-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 3.4688421827136 × 10¹³

Factors of 34688421827136

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 123799

Divisors of 34688421827136

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 43 44 48 49 54 56 63 64 66 72 77 84 86 88 96 98 99 108 112 126 129 132 144 147 154 168 172 176 189 192 196 198 216 224 231 252 258 264 288 294 297 301 308 336 343 344 352 378 387 392 396 432 441 448 462 473 504 516 528 539 576 588 594 602 616 672 686 688 693 704 756 774 784 792 864 882 903 924 946 1008 1029 1032 1056 1078 1161 1176 1188 1204 1232 1323 1344 1372 1376 1386 1419 1512 1548 1568 1584 1617 1728 1764 1806 1848 1892 2016 2058 2064 2079 2107 2112 2156 2322 2352 2376 2408 2464 2646 2709 2744 2752 2772 2838 3024 3087 3096 3136 3168 3234 3311 3528 3612 3696 3773 3784 4032 4116 4128 4158 4214 4257 4312 4644 4704 4752 4816 4851 4928 5292 5418 5488 5544 5676 6048 6174 6192 6321 6336 6468 6622 7056 7224 7392 7546 7568 8127 8232 8256 8316 8428 8514 8624 9261 9288 9408 9504 9632 9702 9933 10584 10836 10976 11088 11319 11352 12096 12348 12384 12642 12771 12936 13244 14112 14448 14553 14749 14784 15092 15136 16254 16464 16632 16856 17028 17248 18522 18576 18963 19008 19264 19404 19866 21168 21672 21952 22176 22638 22704 23177 24696 24768 25284 25542 25872 26488 28224 28896 29106 29498 29799 30184 30272 32508 32928 33264 33712 33957 34056 34496 37044 37152 37926 38808 39732 42336 43344 44247 44352 45276 45408 46354 49392 50568 51084 51744 52976 56889 57792 58212 58996 59598 60368 65016 65856 66528 67424 67914 68112 69531 74088 74304 75852 77616 79464 84672 86688 88494 89397 90552 90816 92708 98784 101136 101871 102168 103488 105952 113778 116424 117992 119196 120736 123733 130032 132741 133056 134848 135828 136224 139062 148176 151704 155232 158928 162239 173376 176988 178794 181104 185416 197568 202272 203742 204336 208593 211904 227556 232848 235984 238392 241472 247466 260064 265482 271656 272448 278124 296352 303408 310464 317856 324478 353976 357588 362208 370832 371199 398223 404544 407484 408672 417186 455112 465696 471968 476784 486717 494932 520128 530964 543312 556248 592704 606816 625779 635712 648956 707952 715176 724416 741664 742398 796446 814968 817344 834372 866131 910224 931392 943936 953568 973434 989864 1061928 1086624 1112496 1113597 1213632 1251558 1297912 1361063 1415904 1430352 1460151 1483328 1484796 1592892 1629936 1668744 1732262 1820448 1907136 1946868 1979728 2123856 2173248 2224992 2227194 2503116 2595824 2598393 2722126 2831808 2860704 2920302 2969592 3185784 3259872 3337488 3340791 3464524 3640896 3893736 3959456 4083189 4247712 4380453 4449984 4454388 5006232 5191648 5196786 5320519 5444252 5721408 5840604 5939184 6062917 6371568 6519744 6674976 6681582 6929048 7787472 7795179 7918912 8166378 8495424 8760906 8908776 9527441 10012464 10383296 10393572 10641038 10888504 11681208 11878368 12125834 12249567 12743136 13349952 13363164 13858096 15574944 15590358 15961557 16332756 17521812 17817552 18188751 19054882 20024928 20787144 21282076 21777008 23362416 23385537 23756736 24251668 24499134 25486272 26726328 27716192 28582323 31149888 31180716 31923114 32665512 35043624 35635104 36377502 36748701 37243633 38109764 40049856 41574288 42440419 42564152 43554016 46724832 46771074 47884671 48503336 48998268 53452656 54566253 55432384 57164646 58525709 62361432 63846228 65331024 66692087 70087248 71270208 72755004 73497402 74487266 76219528 83148576 84880838 85128304 85746969 87108032 93449664 93542148 95769342 97006672 97996536 106905312 109132506 111730899 114329292 117051418 124722864 127321257 127692456 130662048 133384174 140174496 143654013 145510008 146994804 148974532 152439056 163698759 166297152 169761676 170256608 171493938 175577127 187084296 191538684 194013344 195993072 200076261 213810624 218265012 223461798 228658584 234102836 249445728 254642514 255384912 257240907 260705431 261324096 266768348 280348992 287308026 291020016 293989608 297949064 304878112 327397518 335192697 339523352 340513216 342987876 351154254 374168592 381963771 383077368 388026688 391986144 400152522 409679963 436530024 446923596 457317168 466844609 468205672 498891456 509285028 510769824 514481814 521410862 526731381 533536696 574616052 582040032 587979216 595898128 600228783 609756224 654795036 670385394 679046704 685975752 702308508 748337184 763927542 766154736 782116293 783972288 800305044 819359926 873060048 893847192 914634336 933689218 936411344 1005578091 1018570056 1021539648 1028963628 1042821724 1053462762 1067073392 1145891313 1149232104 1164080064 1175958432 1191796256 1200457566 1229039889 1309590072 1340770788 1358093408 1371951504 1400533827 1404617016 1496674368 1527855084 1532309472 1564232586 1580194143 1600610088 1638719852 1746120096 1787694384 1800686349 1824938017 1829268672 1867378436 1872822688 2011156182 2037140112 2057927256 2085643448 2106925524 2134146784 2291782626 2298464208 2346348879 2351916864 2383592512 2400915132 2458079778 2619180144 2681541576 2716186816 2743903008 2801067654 2809234032 2867759741 3055710168 3064618944 3128465172 3160388286 3201220176 3277439704 3492240192 3575388768 3601372698 3649876034 3687119667 3734756872 3745645376 4022312364 4074280224 4115854512 4171286896 4201601481 4213851048 4268293568 4583565252 4596928416 4692697758 4801830264 4916159556 5238360288 5363083152 5474814051 5487806016 5602135308 5618468064 5735519482 6111420336 6256930344 6320776572 6402440352 6554879408 7039046637 7150777536 7202745396 7299752068 7374239334 7469513744 8044624728 8148560448 8231709024 8342573792 8403202962 8427702096 8603279223 9167130504 9193856832 9385395516 9603660528 9832319112 10476720576 10726166304 10949628102 11061359001 11204270616 11236936128 11471038964 12222840672 12513860688 12604804443 12641553144 12804880704 13109758816 14078093274 14405490792 14599504136 14748478668 14939027488 16089249456 16424442153 16463418048 16685147584 16806405924 16855404192 17206558446 18334261008 18770791032 19207321056 19664638224 20074318187 21452332608 21899256204 22122718002 22408541232 22942077928 24445681344 25027721376 25209608886 25283106288 25809837669 26219517632 28156186548 28810981584 29199008272 29496957336 29878054976 32178498912 32848884306 33612811848 33710808384 34413116892 36668522016 37541582064 38414642112 39329276448 40148636374 43798512408 44245436004 44817082464 45884155856 49273326459 50055442752 50419217772 50566212576 51619675338 56312373096 57621963168 58398016544 58993914672 60222954561 64356997824 65697768612 67225623696 68826233784 73337044032 75083164128 77429513007 78658552896 80297272748 87597024816 88490872008 89634164928 91768311712 98546652918 100838435544 101132425152 103239350676 112624746192 115243926336 116796033088 117987829344 120445909122 131395537224 134451247392 137652467568 150166328256 154859026014 160594545496 175194049632 176981744016 180668863683 183536623424 197093305836 201676871088 206478701352 225249492384 235975658688 240891818244 262791074448 268902494784 275304935136 309718052028 321189090992 350388099264 353963488032 361337727366 394186611672 403353742176 412957402704 450498984768 481783636488 525582148896 542006591049 550609870272 619436104056 642378181984 707926976064 722675454732 788373223344 806707484352 825914805408 963567272976 1051164297792 1084013182098 1238872208112 1284756363968 1445350909464 1576746446688 1651829610816 1927134545952 2168026364196 2477744416224 2890701818928 3153492893376 3854269091904 4336052728392 4955488832448 5781403637856 8672105456784 11562807275712 17344210913568 34688421827136
• Sum of all divisors σ(n): 132753713664000
• Sum of proper divisors (its aliquot sum) s(n): 98065291836864
• 34688421827136 is an abundant number, because the sum of its proper divisors (98065291836864) is greater than itself. Its abundance is 63376870009728

Bases of 34688421827136

• Binary: 111111000110010000111000011111001001001000000₂
• Hexadecimal: 0x1F8C870F9240
• Base-36: CANN2Q6O0

Squares and roots of 34688421827136

• 34688421827136 squared (34688421827136²) is 1203286608857325268665962496
• 34688421827136 cubed (34688421827136³) is 41740113466986900357235608854748371091456
• The square root of 34688421827136 is 5889687.7529403883
• The cube root of 34688421827136 is 32613.3076470817

Scales and comparisons

• 34,688,421,827,136 seconds is equal to 1,102,984 years, 26 weeks, 5 days, 17 hours, 45 minutes, 36 seconds.
• To count from 1 to 34,688,421,827,136 would take you about two million, seven hundred fifty-seven thousand, four hundred sixty-one 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 34688421827136 cubic inches would be around 2717.8 feet tall.

Recreational maths with 34688421827136

• 34688421827136 backwards is 63172812488643
• 34688421827136 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34688421827136's digits is 63
• More coming soon!