135335553596607312

Names of 135335553596607312

• Cardinal: 135335553596607312 can be written as One hundred thirty-five quadrillion, three hundred thirty-five trillion, five hundred fifty-three billion, five hundred ninety-six million, six hundred seven thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.35335553596607312 × 10¹⁷

Factors of 135335553596607312

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 26787931

Divisors of 135335553596607312

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6669 8208 8892 11856 13338 17784 26676 35568 47431 53352 94862 106704 142293 189724 284586 379448 426879 569172 616603 758896 853758 901189 1138344 1233206 1280637 1707516 1802378 1849809 2276688 2466412 2561274 2703567 3415032 3604756 3699618 4932824 5122548 5407134 5549427 6830064 7209512 7399236 8110701 9865648 10245096 10814268 11098854 11715457 14419024 14798472 16221402 16648281 20490192 21628536 22197708 23430914 24332103 26740463 29596944 32442804 33296562 35146371 43257072 44395416 46861828 48664206 53480926 64885608 66593124 70292742 80221389 88790832 93723656 97328412 105439113 106961852 129771216 133186248 140585484 160442778 187447312 194656824 210878226 213923704 240664167 266372496 281170968 316317339 320885556 347626019 389313648 421756452 427847408 481328334 508068797 562341936 632634678 641771112 695252038 721992501 843512904 962656668 1016137594 1042878057 1265269356 1283542224 1390504076 1443985002 1524206391 1687025808 1925313336 2032275188 2085756114 2530538712 2781008152 2887970004 3048412782 3128634171 3850626672 4064550376 4171512228 4572619173 5061077424 5562016304 5775940008 6096825564 6257268342 6604894361 8129100752 8343024456 9145238346 9385902513 11551880016 12193651128 12514536684 13209788722 13717857519 16686048912 18290476692 18771805026 19814683083 24387302256 25029073368 26419577444 27435715038 36580953384 37543610052 39629366166 50058146736 52839154888 54871430076 59444049249 73161906768 75087220104 79258732332 105678309776 109742860152 118888098498 150174440208 158517464664 178332147747 219485720304 237776196996 317034929328 356664295494 475552393992 713328590988 951104787984 1268326900553 1426657181976 2536653801106 2853314363952 3804980701659 5073307602212 7609961403318 10146615204424 11414942104977 15219922806636 16488249707189 20293230408848 22829884209954 24098211110507 30439845613272 32976499414378 34244826314931 45659768419908 48196422221014 49464749121567 60879691226544 65952998828756 68489652629862 72294633331521 91319536839816 96392844442028 98929498243134 131905997657512 136979305259724 144589266663042 148394247364701 182639073679632 192785688884056 197858996486268 216883899994563 263811995315024 273958610519448 289178533326084 296788494729402 313276744436591 385571377768112 395717992972536 433767799989126 445182742094103 547917221038896 578357066652168 593576989458804 626553488873182 650651699983689 791435985945072 867535599978252 890365484188206 939830233309773 1156714133304336 1187153978917608 1253106977746364 1301303399967378 1735071199956504 1780730968376412 1879660466619546 2374307957835216 2506213955492728 2602606799934756 2819490699929319 3470142399913008 3561461936752824 3759320933239092 5012427910985456 5205213599869512 5638981399858638 7122923873505648 7518641866478184 8458472099787957 10410427199739024 11277962799717276 15037283732956368 16916944199575914 22555925599434552 33833888399151828 45111851198869104 67667776798303656 135335553596607312
• Sum of all divisors σ(n): 440372400629145600
• Sum of proper divisors (its aliquot sum) s(n): 305036847032538288
• 135335553596607312 is an abundant number, because the sum of its proper divisors (305036847032538288) is greater than itself. Its abundance is 169701293435930976

Bases of 135335553596607312

• Binary: 111100000110011101111100000001101100110110100101101010000₂
• Hexadecimal: 0x1E0CEF80D9B4B50
• Base-36: 110KG70UZ3O0

Squares and roots of 135335553596607312

• 135335553596607312 squared (135335553596607312²) is 18315712067300170342667356731865344
• 135335553596607312 cubed (135335553596607312³) is 2478767032144129514157003943636159661718519629795328
• The square root of 135335553596607312 is 367879808.6285890629
• The cube root of 135335553596607312 is 513417.4609177083

Scales and comparisons

• 135,335,553,596,607,312 seconds is equal to 4,303,251,984 years, 6 days, 22 hours, 55 minutes, 12 seconds.
• To count from 1 to 135,335,553,596,607,312 would take you about twelve billion, nine hundred nine million, seven hundred fifty-five thousand, nine hundred fifty-two 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 135335553596607312 cubic inches would be around 42784.8 feet tall.

Recreational maths with 135335553596607312

• 135335553596607312 backwards is 213706695355533531
• 135335553596607312 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135335553596607312's digits is 72
• More coming soon!