135379274013081600

Names of 135379274013081600

• Cardinal: 135379274013081600 can be written as One hundred thirty-five quadrillion, three hundred seventy-nine trillion, two hundred seventy-four billion, thirteen million, eighty-one thousand, six hundred.

Scientific notation

• Scientific notation: 1.353792740130816 × 10¹⁷

Factors of 135379274013081600

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 14679

Divisors of 135379274013081600

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4096 4800 5120 6144 6400 7680 8192 9600 10240 12288 12800 14669 15360 16384 19200 20480 24576 25600 29338 30720 32768 38400 40960 44007 49152 51200 58676 61440 65536 73345 76800 81920 88014 98304 102400 117352 122880 131072 146690 153600 163840 176028 196608 204800 220035 234704 245760 262144 293380 307200 327680 352056 366725 393216 409600 440070 469408 491520 524288 586760 614400 655360 704112 733450 786432 819200 880140 938816 983040 1048576 1100175 1173520 1228800 1310720 1408224 1466900 1572864 1638400 1760280 1877632 1966080 2097152 2200350 2347040 2457600 2621440 2816448 2933800 3145728 3276800 3520560 3755264 3932160 4194304 4400700 4694080 4915200 5242880 5632896 5867600 6291456 6553600 7041120 7510528 7864320 8388608 8801400 9388160 9830400 10485760 11265792 11735200 12582912 13107200 14082240 15021056 15728640 17602800 18776320 19660800 20971520 22531584 23470400 25165824 26214400 28164480 30042112 31457280 35205600 37552640 39321600 41943040 45063168 46940800 52428800 56328960 60084224 62914560 70411200 75105280 78643200 90126336 93881600 104857600 112657920 120168448 125829120 140822400 150210560 157286400 180252672 187763200 209715200 215179561 225315840 240336896 281644800 300421120 314572800 360505344 375526400 430359122 450631680 480673792 563289600 600842240 629145600 645538683 721010688 751052800 860718244 901263360 961347584 1075897805 1126579200 1201684480 1291077366 1442021376 1502105600 1721436488 1802526720 1922695168 2151795610 2253158400 2403368960 2582154732 2884042752 3004211200 3227693415 3442872976 3605053440 3845390336 4303591220 4506316800 4806737920 5164309464 5379489025 5768085504 6008422400 6455386830 6885745952 7210106880 7690780672 8607182440 9012633600 9613475840 10328618928 10758978050 11536171008 12016844800 12910773660 13771491904 14420213760 15381561344 16138467075 17214364880 18025267200 19226951680 20657237856 21517956100 23072342016 24033689600 25821547320 27542983808 28840427520 30763122688 32276934150 34428729760 36050534400 38453903360 41314475712 43035912200 46144684032 48067379200 51643094640 55085967616 57680855040 61526245376 64553868300 68857459520 72101068800 76907806720 82628951424 86071824400 92289368064 96134758400 103286189280 110171935232 115361710080 123052490752 129107736600 137714919040 144202137600 153815613440 165257902848 172143648800 184578736128 192269516800 206572378560 220343870464 230723420160 258215473200 275429838080 288404275200 307631226880 330515805696 344287297600 369157472256 384539033600 413144757120 440687740928 461446840320 516430946400 550859676160 576808550400 615262453760 661031611392 688574595200 769078067200 826289514240 881375481856 922893680640 1032861892800 1101719352320 1153617100800 1322063222784 1377149190400 1538156134400 1652579028480 1762750963712 1845787361280 2065723785600 2203438704640 2307234201600 2644126445568 2754298380800 3076312268800 3305158056960 3525501927424 4131447571200 4406877409280 4614468403200 5288252891136 5508596761600 6610316113920 7051003854848 8262895142400 8813754818560 9228936806400 10576505782272 11017193523200 13220632227840 14102007709696 16525790284800 17627509637120 21153011564544 22034387046400 26441264455680 28204015419392 33051580569600 35255019274240 42306023129088 44068774092800 52882528911360 56408030838784 66103161139200 70510038548480 84612046258176 88137548185600 105765057822720 112816061677568 132206322278400 141020077096960 169224092516352 176275096371200 211530115645440 225632123355136 264412644556800 282040154193920 338448185032704 352550192742400 423060231290880 451264246710272 528825289113600 564080308387840 676896370065408 705100385484800 846120462581760 902528493420544 1057650578227200 1128160616775680 1353792740130816 1410200770969600 1692240925163520 1805056986841088 2115301156454400 2256321233551360 2707585480261632 2820401541939200 3384481850327040 4230602312908800 4512642467102720 5415170960523264 5640803083878400 6768963700654080 8461204625817600 9025284934205440 11281606167756800 13537927401308160 16922409251635200 22563212335513600 27075854802616320 33844818503270400 45126424671027200 67689637006540800 135379274013081600
• Sum of all divisors σ(n): 447684625150586460
• Sum of proper divisors (its aliquot sum) s(n): 312305351137504860
• 135379274013081600 is an abundant number, because the sum of its proper divisors (312305351137504860) is greater than itself. Its abundance is 176926077124423260

Bases of 135379274013081600

• Binary: 111100000111101101011101110000001100000000000000000000000₂
• Hexadecimal: 0x1E0F6BB81800000
• Base-36: 110ZY3WM46IO

Squares and roots of 135379274013081600

• 135379274013081600 squared (135379274013081600²) is 18327547832309031021687928258560000
• 135379274013081600 cubed (135379274013081600³) is 2481170119978024013082723802421249887747178496000000
• The square root of 135379274013081600 is 367939225.9777171407
• The cube root of 135379274013081600 is 513472.7418050781

Scales and comparisons

• 135,379,274,013,081,600 seconds is equal to 4,304,642,158 years, 1 week, 2 days, 18 hours, 40 minutes.
• To count from 1 to 135,379,274,013,081,600 would take you about twelve billion, nine hundred thirteen million, nine hundred twenty-six thousand, four hundred seventy-four 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 135379274013081600 cubic inches would be around 42789.4 feet tall.

Recreational maths with 135379274013081600

• 135379274013081600 backwards is 006180310472973531
• 135379274013081600 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135379274013081600's digits is 60
• More coming soon!