135105732642816

Names of 135105732642816

• Cardinal: 135105732642816 can be written as One hundred thirty-five trillion, one hundred five billion, seven hundred thirty-two million, six hundred forty-two thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.35105732642816 × 10¹⁴

Factors of 135105732642816

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 160

Divisors of 135105732642816

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 81 82 96 101 104 108 117 123 128 144 156 162 164 192 202 208 216 234 243 246 256 288 303 312 324 328 351 369 384 404 416 432 468 486 492 512 533 576 606 624 648 656 702 729 738 768 808 832 864 909 936 972 984 1024 1053 1066 1107 1152 1212 1248 1296 1312 1313 1404 1458 1476 1536 1599 1616 1664 1681 1728 1818 1872 1944 1968 2048 2106 2132 2214 2304 2424 2496 2592 2624 2626 2727 2808 2916 2952 3072 3159 3198 3232 3321 3328 3362 3456 3636 3744 3888 3936 3939 4141 4212 4264 4428 4608 4797 4848 4992 5043 5184 5248 5252 5454 5616 5832 5904 6144 6318 6396 6464 6642 6656 6724 6912 7272 7488 7776 7872 7878 8181 8282 8424 8528 8856 9216 9477 9594 9696 9963 9984 10086 10368 10496 10504 10908 11232 11664 11808 11817 12423 12636 12792 12928 13284 13312 13448 13824 14391 14544 14976 15129 15552 15744 15756 16362 16564 16848 17056 17712 18432 18954 19188 19392 19926 19968 20172 20736 20992 21008 21816 21853 22464 23328 23616 23634 24543 24846 25272 25584 25856 26568 26624 26896 27648 28782 29088 29889 29952 30258 31104 31488 31512 32724 33128 33696 34112 35424 35451 37269 37908 38376 38784 39852 39936 40344 41472 41984 42016 43173 43632 43706 44928 45387 46656 47232 47268 49086 49692 50544 51168 51712 53136 53792 53833 55296 57564 58176 59778 59904 60516 62208 62976 63024 65448 65559 66256 67392 68224 68921 70848 70902 73629 74538 75816 76752 77568 79704 79872 80688 82944 83968 84032 86346 87264 87412 89856 90774 93312 94464 94536 98172 99384 101088 102336 103424 106272 106353 107584 107666 111807 115128 116352 119556 119808 121032 124416 125952 126048 129519 130896 131118 132512 134784 136161 136448 137842 141696 141804 147258 149076 151632 153504 155136 159408 161376 161499 165888 168064 169781 172692 174528 174824 179712 181548 186624 188928 189072 196344 196677 198768 202176 204672 206763 206848 212544 212706 215168 215332 223614 230256 232704 239112 239616 242064 248832 251904 252096 259038 261792 262236 265024 269568 272322 272896 275684 283392 283608 294516 298152 303264 307008 310272 318816 319059 322752 322998 335421 336128 339562 345384 349056 349648 359424 363096 373248 377856 378144 388557 392688 393354 397536 404352 408483 409344 413526 425088 425412 430336 430664 447228 460512 465408 478224 484128 484497 497664 504192 509343 518076 523584 524472 530048 539136 544644 545792 551368 566784 567216 589032 590031 596304 606528 614016 620289 620544 637632 638118 645504 645996 670842 672256 679124 690768 698112 699296 718848 726192 746496 755712 756288 777114 785376 786708 795072 808704 816966 818688 827052 850176 850824 860672 861328 894456 895973 921024 930816 956448 957177 968256 968994 1006263 1008384 1018686 1036152 1047168 1048944 1060096 1078272 1089288 1091584 1102736 1133568 1134432 1178064 1180062 1192608 1213056 1225449 1228032 1240578 1275264 1276236 1291008 1291992 1341684 1344512 1358248 1381536 1396224 1398592 1452384 1453491 1492992 1512576 1528029 1554228 1570752 1573416 1590144 1617408 1633932 1637376 1654104 1700352 1701648 1721344 1722656 1770093 1788912 1791946 1842048 1860867 1861632 1912896 1914354 1936512 1937988 2012526 2016768 2037372 2072304 2094336 2097888 2120192 2156544 2178576 2205472 2207153 2267136 2268864 2356128 2360124 2385216 2426112 2450898 2456064 2481156 2550528 2552472 2582016 2583984 2683368 2687919 2689024 2716496 2763072 2792448 2797184 2904768 2906982 3018789 3025152 3056058 3108456 3141504 3146832 3180288 3234816 3267864 3274752 3308208 3400704 3403296 3442688 3445312 3540186 3577824 3583892 3684096 3721734 3825792 3828708 3873024 3875976 4025052 4033536 4074744 4144608 4188672 4195776 4240384 4357152 4360473 4410944 4414306 4537728 4584087 4712256 4720248 4770432 4852224 4901796 4912128 4962312 5101056 5104944 5164032 5167968 5310279 5366736 5375838 5432992 5526144 5582601 5584896 5594368 5809536 5813964 6037578 6050304 6112116 6216912 6283008 6293664 6360576 6469632 6535728 6616416 6621459 6801408 6806592 6890624 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372093696 375895134 386404992 387060336 391175424 397882368 401947272 402794496 418286592 418605408 423450624 423773376 435442878 440072352 445505344 453143808 458738176 476381952 476745048 490074624 495081396 496124928 501193512 509786784 515206656 516080448 521567232 535929696 536338179 542959638 558140544 563842701 565031168 580590504 586763136 604191744 627429888 627908112 635175936 635660064 653164317 653432832 660108528 668258016 679715712 686942208 688107264 714572928 715117572 723946184 744187392 751790268 772809984 774120672 782350848 795764736 803894544 814439457 836573184 837210816 847546752 870885756 880144704 891010688 906287616 917476352 952763904 953490096 980149248 990162792 992249856 1002387024 1019573568 1030413312 1032160896 1043134464 1071859392 1072676358 1085919276 1116281088 1127685402 1130062336 1161181008 1173526272 1208383488 1254859776 1255816224 1270351872 1271320128 1306328634 1320217056 1336516032 1359431424 1376214528 1429145856 1430235144 1447892368 1488374784 1503580536 1545619968 1548241344 1564701696 1607789088 1609014537 1628878914 1674421632 1691528103 1695093504 1741771512 1760289408 1782021376 1812575232 1834952704 1905527808 1906980192 1960298496 1980325584 2004774048 2039147136 2060826624 2064321792 2143718784 2145352716 2171838552 2232562176 2255370804 2260124672 2322362016 2347052544 2443318371 2509719552 2511632448 2542640256 2612657268 2640434112 2673032064 2718862848 2752429056 2858291712 2860470288 2895784736 2976749568 3007161072 3091239936 3096482688 3129403392 3215578176 3218029074 3257757828 3348843264 3383056206 3390187008 3483543024 3520578816 3564042752 3625150464 3811055616 3813960384 3960651168 4009548096 4078294272 4128643584 4287437568 4290705432 4343677104 4465124352 4510741608 4520249344 4644724032 4694105088 4886636742 5023264896 5074584309 5085280512 5225314536 5280868224 5346064128 5437725696 5504858112 5716583424 5720940576 5791569472 6014322144 6182479872 6192965376 6431156352 6436058148 6515515656 6697686528 6766112412 6780374016 6967086048 7041157632 7128085504 7329955113 7627920768 7921302336 8019096192 8156588544 8257287168 8574875136 8581410864 8687354208 8930248704 9021483216 9289448064 9388210176 9773273484 10046529792 10149168618 10170561024 10450629072 10561736448 10692128256 10875451392 11433166848 11441881152 11583138944 12028644288 12385930752 12862312704 12872116296 13031031312 13395373056 13532224824 13560748032 13934172096 14082315264 14256171008 14659910226 15255841536 15842604672 16038192384 16313177088 16514574336 17149750272 17162821728 17374708416 18042966432 18578896128 19546546968 20093059584 20298337236 20341122048 20901258144 21123472896 21384256512 21989865339 22883762304 23166277888 24057288576 24771861504 25724625408 25744232592 26062062624 26790746112 27064449648 27868344192 28164630528 29319820452 30511683072 31685209344 32076384768 32626354176 34299500544 34325643456 34749416832 36085932864 37157792256 39093093936 40186119168 40596674472 40682244096 41802516288 42246945792 42768513024 43979730678 45767524608 46332555776 48114577152 49543723008 51449250816 51488465184 52124125248 54128899296 55736688384 58639640904 61023366144 63370418688 64152769536 65969596017 68651286912 69498833664 72171865728 74315584512 78186187872 80372238336 81193348944 83605032576 84493891584 87959461356 91535049216 92665111552 96229154304 102898501632 102976930368 104248250496 108257798592 111473376768 117279281808 122046732288 126740837376 128305539072 131939192034 137302573824 138997667328 144343731456 148631169024 156372375744 162386697888 167210065152 175918922712 183070098432 185330223104 192458308608 205953860736 208496500992 216515597184 222946753536 234558563616 253481674752 263878384068 274605147648 277995334656 288687462912 312744751488 324773395776 334420130304 351837845424 366140196864 384916617216 411907721472 416993001984 433031194368 445893507072 469117127232 527756768136 549210295296 555990669312 577374925824 625489502976 649546791552 668840260608 703675690848 823815442944 833986003968 866062388736 938234254464 1055513536272 1098420590592 1154749851648 1250979005952 1299093583104 1337680521216 1407351381696 1647630885888 1667972007936 1732124777472 1876468508928 2111027072544 2501958011904 2598187166208 2814702763392 3295261771776 3464249554944 3752937017856 4222054145088 5003916023808 5196374332416 5629405526784 7505874035712 8444108290176 10392748664832 11258811053568 15011748071424 16888216580352 22517622107136 33776433160704 45035244214272 67552866321408 135105732642816
• Sum of all divisors σ(n): 451520587692720
• Sum of proper divisors (its aliquot sum) s(n): 316414855049904
• 135105732642816 is an abundant number, because the sum of its proper divisors (316414855049904) is greater than itself. Its abundance is 181309122407088

Bases of 135105732642816

• Binary: 11110101110000011000001001100111000100000000000₂
• Hexadecimal: 0x7AE0C1338800
• Base-36: 1BW2PSW000

Squares and roots of 135105732642816

• 135105732642816 squared (135105732642816²) is 18253558992952076855836409856
• 135105732642816 cubed (135105732642816³) is 2466160461081652962141518862008232229994496
• The square root of 135105732642816 is 11623499.1565713981
• The cube root of 135105732642816 is 51312.6675184719

Scales and comparisons

• 135,105,732,642,816 seconds is equal to 4,295,944 years, 20 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 135,105,732,642,816 would take you about ten million, seven hundred thirty-nine thousand, eight hundred sixty 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 135105732642816 cubic inches would be around 4276.1 feet tall.

Recreational maths with 135105732642816

• 135105732642816 backwards is 618246237501531
• 135105732642816 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135105732642816's digits is 54
• More coming soon!