135506537082112
135,506,537,082,112 is an even composite number composed of six prime numbers multiplied together.
135506537082112 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 135506537082112:
28 × 72 × 17 × 29 × 312 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 29 × 31 × 31 × 151 × 151)See below for interesting mathematical facts about the number 135506537082112 from the Numbermatics database.
Names of 135506537082112
- Cardinal: 135506537082112 can be written as One hundred thirty-five trillion, five hundred six billion, five hundred thirty-seven million, eighty-two thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.35506537082112 × 1014
Factors of 135506537082112
Divisors of 135506537082112
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 31 32 34 49 56 58 62 64 68 98 112 116 119 124 128 136 151 196 203 217 224 232 238 248 256 272 302 392 406 434 448 464 476 493 496 527 544 604 784 812 833 868 896 899 928 952 961 986 992 1054 1057 1088 1208 1421 1519 1568 1624 1666 1736 1792 1798 1856 1904 1922 1972 1984 2108 2114 2176 2416 2567 2842 3038 3136 3248 3332 3451 3472 3596 3689 3712 3808 3844 3944 3968 4216 4228 4352 4379 4681 4832 5134 5684 6076 6272 6293 6496 6664 6727 6902 6944 7192 7378 7399 7424 7616 7688 7888 7936 8432 8456 8758 9362 9664 10268 11368 12152 12544 12586 12992 13328 13454 13804 13888 14384 14756 14798 15232 15283 15376 15776 16337 16864 16912 17516 17969 18724 19328 20536 22736 22801 24157 24304 25172 25823 25984 26656 26908 27608 27776 27869 28768 29512 29596 30464 30566 30653 30752 31552 32674 32767 33728 33824 35032 35938 37448 38656 41072 44051 45472 45602 47089 48314 48608 50344 51646 51968 53312 53816 55216 55552 55738 57536 59024 59192 61132 61306 61504 63104 65348 65534 67456 67648 70064 71876 74443 74896 79577 82144 88102 90944 91204 94178 96628 97216 100688 103292 106624 106981 107632 110432 111476 114359 115072 118048 118384 122264 122612 123008 125783 126208 130696 131068 134912 135296 135749 140128 143752 145111 148886 149792 159154 159607 164288 176204 181888 182408 188356 193256 194432 195083 201376 206584 213248 213962 214571 215264 220864 222952 228718 229369 230144 236096 236768 244528 245224 246016 251566 261392 262136 270592 271498 280256 287504 290222 297772 299584 318308 319214 328576 352408 363776 364816 376712 386512 387617 388864 390166 402752 413168 427924 429142 430528 441728 445904 457436 458738 472192 473536 473773 489056 490448 503132 521101 522784 524272 542996 557039 560512 575008 580444 595544 599168 636616 638428 657152 661229 704816 706831 729632 748867 753424 773024 775234 780332 800513 805504 826336 855848 858284 861056 883456 891808 914872 917476 944384 947072 947546 950243 978112 980896 1006264 1015777 1042202 1045568 1048544 1085992 1114078 1117249 1121024 1150016 1160888 1191088 1198336 1273232 1276856 1322458 1365581 1409632 1413662 1459264 1497734 1506848 1546048 1550468 1560664 1601026 1611008 1652672 1711696 1716568 1722112 1783616 1829744 1834952 1894144 1895092 1900486 1956224 1961792 2012528 2031554 2084404 2091136 2097088 2171984 2228156 2234498 2300032 2307733 2321776 2382176 2466887 2546464 2553712 2644916 2713319 2731162 2819264 2827324 2918528 2995468 3013696 3092096 3100936 3121328 3202052 3305344 3316411 3423392 3433136 3567232 3647707 3659488 3669904 3790184 3800972 3899273 3912448 3923584 4025056 4063108 4168808 4182272 4194176 4208219 4343968 4456312 4468996 4600064 4615466 4628603 4643552 4764352 4933774 4947817 5092928 5107424 5289832 5426638 5462324 5638528 5654648 5837056 5990936 6027392 6184192 6201872 6242656 6404104 6610688 6632822 6651701 6846784 6866272 7110439 7134464 7295414 7318976 7339808 7580368 7601944 7798546 7847168 8050112 8126216 8337616 8388352 8416438 8687936 8912624 8937992 9230932 9257206 9287104 9528704 9867548 9895634 10185856 10214848 10579664 10853276 10924648 11240893 11277056 11309296 11981872 12016127 12054784 12403744 12485312 12808208 13265644 13303402 13693568 13732544 14220878 14590828 14637952 14679616 15160736 15203888 15597092 16100224 16154131 16252432 16675232 16832876 17268209 17375872 17825248 17875984 18461864 18514412 18574208 18993233 19057408 19735096 19791268 20371712 20429696 20498099 21159328 21706552 21849296 21911761 22481786 22618592 23214877 23963744 24032254 24807488 24970624 25616416 26531288 26606804 27387136 27465088 28441756 29181656 29275904 29359232 29457533 30321472 30407776 31194184 32200448 32308262 32400221 32504864 33350464 33665752 34536418 34634719 34751744 35650496 35751968 36923728 37028824 37148416 37986466 39470192 39582536 40859392 40996198 42318656 43413104 43698592 43823522 44963572 45237184 46429754 47927488 48064508 49614976 49941248 51232832 53062576 53213608 54930176 56883512 58363312 58718464 58915066 60642944 60815552 62388368 64616524 64800442 65009728 66700928 67331504 69072836 69269438 71300992 71503936 71539723 73847456 74057648 75972932 78686251 78940384 79165072 81992396 84112889 84637312 86826208 87397184 87647044 89927144 90474368 92859508 95854976 96129016 99229952 102465664 106125152 106427216 113078917 113767024 116726624 117830132 120877463 121285888 121631104 124776736 129233048 129600884 130019456 133401856 134663008 138145672 138538876 142601984 143007872 143079446 143486693 147694912 148115296 151945864 153382327 157372502 157880768 158330144 163984792 168225778 169274624 173652416 174794368 175294088 179854288 180948736 185719016 191709952 192258032 204931328 206202731 212250304 212854432 226157834 227534048 233453248 235660264 241754926 243262208 249553472 258466096 259201768 260038912 269326016 276291344 277077752 286015744 286158892 286973386 295389824 296230592 303891728 306764654 314745004 315761536 316660288 327969584 336451556 347304832 348467683 349588736 350588176 359708576 371438032 372499937 384516064 412405462 424500608 425708864 452315668 455068096 466906496 471320528 483509852 499106944 500778061 516932192 518403536 538652032 550803757 552582688 554155504 572317784 573946772 588790223 590779648 592461184 607783456 613529308 629490008 631523072 633320576 635441069 655939168 672903112 694609664 696935366 701176352 719417152 742876064 744999874 769032128 824810924 849001216 851417728 904631336 910136192 933812992 942641056 967019704 998213888 1001556122 1004406851 1033864384 1036807072 1073676289 1077304064 1101607514 1105165376 1108311008 1144635568 1147893544 1177580446 1184922368 1215566912 1227058616 1258980016 1266641152 1270882138 1311878336 1345806224 1393870732 1402352704 1438834304 1485752128 1489999748 1538064256 1649621848 1702835456 1809262672 1820272384 1885282112 1934039408 2003112244 2008813702 2067728768 2073614144 2147352578 2203215028 2210330752 2216622016 2289271136 2295787088 2355160892 2431133824 2439273781 2454117232 2517960032 2541764276 2607499559 2623756672 2691612448 2787741464 2804705408 2877668608 2971504256 2979999496 3076128512 3299243696 3505446427 3618525344 3770564224 3868078816 4006224488 4017627404 4135457536 4147228288 4294705156 4406430056 4420661504 4433244032 4448087483 4578542272 4591574176 4710321784 4862267648 4878547562 4908234464 5035920064 5083528552 5214999118 5247513344 5383224896 5575482928 5609410816 5943008512 5959998992 6598487392 7010892854 7237050688 7541128448 7736157632 8012448976 8035254808 8294456576 8589410312 8812860112 8866488064 8896174966 9157084544 9183148352 9420643568 9757095124 9816468928 10071840128 10167057104 10429998236 10766449792 10802498173 11150965856 11919997984 13196974784 14021785708 14474101376 15472315264 16024897952 16070509616 17074916467 17178820624 17625720224 17792349932 18252496913 18314169088 18366296704 18841287136 19514190248 19632937856 20143680256 20334114208 20859996472 21532899584 21604996346 22301931712 23839995968 26393949568 28043571416 28948202752 30944630528 31136612381 32049795904 32141019232 34149832934 34357641248 35251440448 35584699864 36504993826 36732593408 37682574272 39028380496 39265875712 40668228416 41719992944 43209992692 44603863424 47679991936 52787899136 56087142832 62273224762 64099591808 64282038464 68299665868 68715282496 70502880896 71169399728 73009987652 75365148544 75617487211 78056760992 81336456832 83439985888 86419985384 89207726848 95359983872 112174285664 124546449524 128199183616 128564076928 136599331736 137430564992 141005761792 142338799456 146019975304 150730297088 151234974422 156113521984 162672913664 166879971776 172839970768 224348571328 249092899048 257128153856 273198663472 274861129984 284677598912 292039950608 302469948844 312227043968 333759943552 345679941536 448697142656 498185798096 529322410477 546397326944 569355197824 584079901216 604939897688 624454087936 667519887104 691359883072 897394285312 996371596192 1058644820954 1092794653888 1138710395648 1168159802432 1209879795376 1382719766144 1992743192384 2117289641908 2185589307776 2336319604864 2419759590752 2765439532288 3985486384768 4234579283816 4371178615552 4672639209728 4839519181504 7970972769536 8469158567632 9679038363008 16938317135264 19358076726016 33876634270528 67753268541056 135506537082112
- Sum of all divisors σ(n): 358490970062820
- Sum of proper divisors (its aliquot sum) s(n): 222984432980708
- 135506537082112 is an abundant number, because the sum of its proper divisors (222984432980708) is greater than itself. Its abundance is 87477895898596
Bases of 135506537082112
- Binary: 111101100111110000100110000000111101101000000002
- Hexadecimal: 0x7B3E1301ED00
- Base-36: 1C16UDI4N4
Squares and roots of 135506537082112
- 135506537082112 squared (1355065370821122) is 18362021591985794539030380544
- 135506537082112 cubed (1355065370821123) is 2488173959756964288138655766498478735228928
-
The
square root of 135506537082112 is 11640727.5151560865 -
The
cube root of 135506537082112 is 51363.3587823245
Scales and comparisons
How big is 135506537082112?- 135,506,537,082,112 seconds is equal to 4,308,688 years, 37 weeks, 6 days, 17 hours, 1 minute, 52 seconds.
-
To count from 1 to 135,506,537,082,112 would take you about ten million, seven hundred seventy-one thousand, seven hundred twenty-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 135506537082112 cubic inches would be around 4280.3 feet tall.
Recreational maths with 135506537082112
- 135506537082112 backwards is 211280735605531
- 135506537082112 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135506537082112's digits is 49
- More coming soon!
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The information we have on file for 135506537082112 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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