135129810816
135,129,810,816 is an even composite number composed of seven prime numbers multiplied together.
135129810816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 135129810816:
27 × 33 × 7 × 112 × 13 × 53 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 13 × 53 × 67)See below for interesting mathematical facts about the number 135129810816 from the Numbermatics database.
Names of 135129810816
- Cardinal: 135129810816 can be written as One hundred thirty-five billion, one hundred twenty-nine million, eight hundred ten thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.35129810816 × 1011
Factors of 135129810816
Divisors of 135129810816
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 39 42 44 48 52 53 54 56 63 64 66 67 72 77 78 84 88 91 96 99 104 106 108 112 117 121 126 128 132 134 143 144 154 156 159 168 176 182 189 192 198 201 208 212 216 224 231 234 242 252 264 268 273 286 288 297 308 312 318 336 351 352 363 364 371 378 384 396 402 416 424 429 432 448 462 468 469 477 484 504 528 536 546 572 576 583 594 603 616 624 636 672 689 693 702 704 726 728 737 742 756 792 804 819 832 847 848 858 864 871 896 924 936 938 954 968 1001 1008 1056 1072 1089 1092 1113 1144 1152 1166 1188 1206 1232 1248 1272 1287 1344 1378 1386 1404 1407 1408 1431 1452 1456 1474 1484 1512 1573 1584 1608 1638 1664 1694 1696 1716 1728 1742 1749 1809 1848 1872 1876 1908 1936 2002 2016 2067 2079 2112 2144 2178 2184 2211 2226 2288 2332 2376 2412 2457 2464 2496 2541 2544 2574 2613 2688 2756 2772 2808 2814 2862 2904 2912 2948 2968 3003 3024 3146 3168 3216 3267 3276 3339 3388 3392 3432 3456 3484 3498 3551 3618 3696 3744 3752 3816 3861 3872 4004 4032 4081 4134 4158 4221 4224 4288 4356 4368 4422 4452 4576 4664 4719 4752 4823 4824 4914 4928 4992 5082 5088 5148 5159 5226 5247 5512 5544 5616 5628 5724 5808 5824 5896 5936 6006 6048 6097 6201 6292 6336 6413 6432 6534 6552 6633 6678 6776 6784 6864 6968 6996 7102 7236 7392 7488 7504 7579 7623 7632 7722 7744 7839 8008 8064 8107 8162 8268 8316 8442 8576 8712 8736 8844 8904 9009 9152 9328 9438 9504 9581 9646 9648 9828 9856 10017 10164 10176 10296 10318 10452 10494 10653 11011 11024 11088 11232 11256 11448 11616 11648 11792 11872 12012 12096 12194 12243 12402 12584 12663 12672 12826 12864 13068 13104 13266 13356 13552 13728 13936 13992 14157 14204 14469 14472 14784 14976 15008 15158 15246 15264 15444 15477 15488 15678 15741 16016 16214 16324 16536 16632 16884 17424 17472 17688 17808 18018 18291 18304 18603 18656 18876 19008 19162 19239 19292 19296 19656 19899 20034 20328 20352 20592 20636 20904 20988 21306 22022 22048 22176 22464 22512 22737 22869 22896 23232 23517 23584 23744 24024 24192 24321 24388 24486 24804 24857 25168 25326 25652 25728 26136 26208 26532 26712 27027 27104 27456 27872 27984 28314 28408 28743 28938 28944 29568 30016 30316 30492 30528 30888 30954 31356 31482 31959 32032 32428 32648 33033 33072 33264 33768 34848 34944 35376 35616 36036 36582 36729 37206 37312 37752 38016 38324 38478 38584 38592 39061 39312 39798 40068 40656 41184 41272 41808 41976 42471 42612 43407 44044 44096 44352 44891 44928 45024 45474 45738 45792 46163 46431 46464 47034 47168 47488 48048 48642 48776 48972 49608 49714 50336 50652 51304 52272 52416 53053 53064 53424 54054 54208 54873 54912 55744 55968 56628 56749 56816 57486 57717 57876 57888 60032 60632 60984 61056 61776 61908 62712 62964 63918 64064 64856 65296 66066 66144 66528 67067 67536 68211 69696 70752 71232 72072 72963 73164 73458 74412 74571 74624 75504 76648 76956 77168 77184 78122 78624 79596 80136 81312 82368 82544 83369 83616 83952 84942 85224 86229 86814 88088 88192 88704 89782 90048 90948 91476 91584 92326 92862 94068 94336 95877 96096 97284 97552 97944 99099 99216 99428 100672 101304 102608 104544 104832 105391 106106 106128 106848 108108 108416 109746 110187 111488 111936 113256 113498 113632 114972 115434 115752 115776 117183 121264 121968 123552 123816 125424 125928 127836 128128 129712 130221 130592 132132 132288 133056 134134 134673 135072 136422 138489 139293 139392 141504 142464 144144 145926 146328 146916 148824 149142 151008 153296 153912 154336 156244 157248 159159 159192 160272 162624 164619 164736 165088 166738 167232 167904 169884 170247 170448 172458 173151 173628 176176 179564 180096 181896 182952 183168 184652 185724 188136 191754 192192 194568 195104 195888 198198 198432 198856 201201 201344 202608 204633 205216 209088 210782 212212 212256 213696 216216 218889 219492 220374 223713 223872 226512 226996 227264 229944 230868 231504 231552 234366 242528 243936 247104 247632 250107 250848 251856 255672 258687 259424 260442 261184 264264 264576 266112 268268 269346 270144 272844 273427 276978 278586 283008 288288 291852 292656 293832 297297 297648 298284 302016 306592 307824 308672 312488 314496 316173 318318 318384 320544 323141 325248 329238 330176 333476 334464 335808 339768 340494 340896 344916 346302 347256 351549 352352 359128 363792 365904 369304 371448 376272 383508 384384 389136 390208 391776 396396 396864 397712 402402 404019 405216 409266 410432 415467 418176 421564 424424 424512 427392 429671 432432 437778 438984 440748 447426 453024 453992 454528 459888 461736 463008 468732 477477 485056 487872 494208 495264 500214 501696 503712 507793 510741 511344 517374 518848 520884 522368 528528 536536 538692 540288 545688 546854 553956 557172 576576 583583 583704 585312 587664 594594 595296 596568 603603 604032 613184 615648 617344 624976 632346 636636 636768 641088 646282 658476 660352 666952 671139 671616 679536 680988 681792 689832 692604 694512 703098 704704 718256 727584 731808 737737 738608 742896 750321 752544 767016 778272 780416 783552 792792 793728 795424 804804 808038 810432 818532 820281 820864 830934 843128 848848 849024 859342 864864 875556 877968 881496 894852 906048 907984 919776 923472 926016 937464 948519 954954 969423 970112 975744 990528 1000428 1003392 1007424 1015586 1021482 1022688 1034748 1037696 1041768 1054647 1057056 1073072 1077384 1091376 1093708 1107912 1114344 1153152 1167166 1167408 1170624 1175328 1189188 1190592 1193136 1207206 1212057 1226368 1231296 1246401 1249952 1264692 1273272 1273536 1282176 1289013 1292564 1316952 1333904 1342278 1359072 1361976 1363584 1379664 1385208 1389024 1406196 1409408 1432431 1436512 1455168 1463616 1475474 1477216 1485792 1500642 1505088 1523379 1532223 1534032 1556544 1567104 1585584 1590848 1609608 1616076 1620864 1637064 1640562 1661868 1686256 1697696 1718684 1729728 1750749 1751112 1755936 1762992 1789704 1810809 1812096 1815968 1839552 1846944 1852032 1874928 1897038 1909908 1938846 1981056 2000856 2014848 2031172 2042964 2045376 2069496 2083536 2109294 2114112 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70822752 72030816 72184728 73122192 74698624 77261184 77571648 78200122 78746976 79675596 79769664 81207819 82496832 84035952 85309224 85905792 89371568 91057824 91675584 92808936 93064608 94430336 95972877 96041088 96246304 97496256 98062272 100543014 104995968 106234128 108277092 109683288 112047936 113745632 115891776 117300183 118120464 121410432 123745248 124086144 126053928 127963836 134057352 134994816 139596912 141645504 144061632 144369456 146244384 150814521 155143296 156400244 157493952 159351192 159539328 162415638 164993664 168071904 170618448 178743136 182115648 183351168 185617872 186129216 191945754 192492608 194992512 196124544 201086028 212468256 216554184 219366576 224095872 227491264 231783552 234600366 236240928 247490496 252107856 255927672 268114704 279193824 283291008 288123264 288738912 292488768 301629042 312800488 314987904 318702384 324831276 336143808 341236896 351900549 357486272 364231296 371235744 372258432 383891508 384985216 402172056 424936512 433108368 438733152 454982528 469200732 472481856 494980992 504215712 511855344 536229408 558387648 577477824 584977536 603258084 625600976 637404768 649662552 672287616 682473792 703801098 714972544 742471488 767783016 804344112 849873024 866216736 877466304 938401464 944963712 1008431424 1023710688 1055701647 1072458816 1116775296 1154955648 1206516168 1251201952 1274809536 1299325104 1364947584 1407602196 1484942976 1535566032 1608688224 1732433472 1754932608 1876802928 2016862848 2047421376 2111403294 2144917632 2413032336 2502403904 2549619072 2598650208 2815204392 3071132064 3217376448 3464866944 3753605856 4094842752 4222806588 4826064672 5004807808 5197300416 5630408784 6142264128 6434752896 7507211712 8445613176 9652129344 10394600832 11260817568 12284528256 15014423424 16891226352 19304258688 22521635136 33782452704 45043270272 67564905408 135129810816
- Sum of all divisors σ(n): 557920742400
- Sum of proper divisors (its aliquot sum) s(n): 422790931584
- 135129810816 is an abundant number, because the sum of its proper divisors (422790931584) is greater than itself. Its abundance is 287661120768
Bases of 135129810816
- Binary: 11111011101100101110101000111100000002
- Hexadecimal: 0x1F765D4780
- Base-36: 1Q2SSTC0
Squares and roots of 135129810816
- 135129810816 squared (1351298108162) is 18260065771167950585856
- 135129810816 cubed (1351298108163) is 2467479233145642310029157645418496
-
The
square root of 135129810816 is 367600.0691186007 -
The
cube root of 135129810816 is 5131.5715605037
Scales and comparisons
How big is 135129810816?- 135,129,810,816 seconds is equal to 4,296 years, 36 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 135,129,810,816 would take you about eight thousand, five hundred ninety-three 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 135129810816 cubic inches would be around 427.6 feet tall.
Recreational maths with 135129810816
- 135129810816 backwards is 618018921531
- The number of decimal digits it has is: 12
- The sum of 135129810816's digits is 45
- More coming soon!
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The information we have on file for 135129810816 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 135129810816, math, Factors of 135129810816, curriculum, school, college, exams, university, Prime factorization of 135129810816, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, one hundred twenty-nine million, eight hundred ten thousand, eight hundred sixteen.