134906478169408000

Names of 134906478169408000

• Cardinal: 134906478169408000 can be written as One hundred thirty-four quadrillion, nine hundred six trillion, four hundred seventy-eight billion, one hundred sixty-nine million, four hundred eight thousand.

Scientific notation

• Scientific notation: 1.34906478169408 × 10¹⁷

Factors of 134906478169408000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 73958

Divisors of 134906478169408000

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 128 160 176 200 220 242 250 256 275 320 352 400 440 484 487 500 512 550 605 640 704 800 880 968 974 1000 1100 1210 1280 1375 1408 1600 1760 1936 1948 2000 2200 2420 2435 2560 2750 2816 3025 3200 3520 3872 3896 4000 4400 4840 4870 5357 5500 5632 6050 6400 7040 7744 7792 8000 8800 9680 9740 10714 11000 12100 12175 12800 14080 15125 15488 15584 16000 17600 19360 19480 21428 22000 24200 24350 26785 28160 30250 30976 31168 32000 35200 38720 38960 42856 44000 48400 48700 53570 58927 60500 60875 61952 62336 64000 70400 73453 77440 77920 85712 88000 96800 97400 107140 117854 121000 121750 124672 133925 140800 146906 154880 155840 171424 176000 193600 194800 214280 235708 237169 242000 243500 249344 267850 293812 294635 309760 311680 342848 352000 367265 387200 389600 428560 471416 474338 484000 487000 535700 587624 589270 623360 669625 685696 704000 734530 774400 779200 807983 857120 942832 948676 968000 974000 1071400 1175248 1178540 1185845 1246720 1339250 1371392 1469060 1473175 1548800 1558400 1615966 1714240 1836325 1885664 1897352 1936000 1948000 2142800 2350496 2357080 2371690 2608859 2678500 2742784 2938120 2946350 3116800 3231932 3428480 3672650 3771328 3794704 3872000 3896000 4039915 4285600 4700992 4714160 4743380 5217718 5357000 5876240 5892700 5929225 6233600 6463864 6856960 7345300 7365875 7542656 7589408 7744000 7792000 8079830 8571200 8887813 9181625 9401984 9428320 9486760 10435436 10714000 11752480 11785400 11858450 12927728 13044295 13713920 14690600 14731750 15085312 15178816 15584000 16159660 17142400 17775626 18363250 18803968 18856640 18973520 20199575 20870872 21428000 23504960 23570800 23716900 25855456 26088590 28697449 29381200 29463500 29646125 30170624 30357632 31168000 32319320 34284800 35551252 35771611 36726500 37607936 37713280 37947040 40399150 41741744 42856000 44439065 47009920 47141600 47433800 51710912 52177180 57394898 58762400 58927000 59292250 60715264 64638640 65221475 68569600 71102504 71543222 73453000 75426560 75894080 80798300 83483488 85712000 88878130 94019840 94283200 94867600 100997875 103421824 104354360 114789796 117524800 117854000 118584500 121430528 129277280 130442950 142205008 143086444 143487245 146906000 150853120 151788160 161596600 166966976 171424000 177756260 178858055 188039680 188566400 189735200 201995750 206843648 208708720 222195325 229579592 235049600 235708000 237169000 258554560 260885900 284410016 286172888 286974490 293812000 303576320 323193200 326107375 333933952 342848000 355512520 357716110 377132800 379470400 393487721 403991500 413687296 417417440 444390650 459159184 470099200 471416000 474338000 517109120 521771800 568820032 572345776 573948980 587624000 607152640 646386400 652214750 667867904 711025040 715432220 717436225 754265600 758940800 786975442 807983000 834834880 888781300 894290275 918318368 940198400 942832000 948676000 1034218240 1043543600 1110976625 1137640064 1144691552 1147897960 1175248000 1292772800 1304429500 1335735808 1422050080 1430864440 1434872450 1517881600 1573950884 1615966000 1669669760 1777562600 1788580550 1836636736 1885664000 1897352000 1967438605 2068436480 2087087200 2221953250 2275280128 2289383104 2295795920 2350496000 2585545600 2608859000 2844100160 2861728880 2869744900 3035763200 3147901768 3231932000 3339339520 3555125200 3577161100 3587181125 3673273472 3771328000 3794704000 3934877210 4174174400 4328364931 4443906500 4471451375 4550560256 4578766208 4591591840 4700992000 5171091200 5217718000 5688200320 5723457760 5739489800 6295803536 6463864000 6678679040 7110250400 7154322200 7174362250 7346546944 7589408000 7869754420 8348348800 8656729862 8887813000 8942902750 9157532416 9183183680 9837193025 10342182400 10435436000 11376400640 11446915520 11478979600 12591607072 12927728000 14220500800 14308644400 14348724500 14693093888 15178816000 15739508840 16696697600 17313459724 17420774557 17775626000 17885805500 18315064832 18366367360 19674386050 20870872000 21641824655 22752801280 22893831040 22957959200 25183214144 25855456000 28441001600 28617288800 28697449000 31479017680 33393395200 34626919448 34841549114 35551252000 35771611000 36732734720 39348772100 41741744000 43283649310 45787662080 45915918400 49185965125 50366428288 51710912000 56882003200 57234577600 57394898000 62958035360 69253838896 69683098228 71102504000 71543222000 73465469440 78697544200 83483488000 86567298620 87103872785 91575324160 91831836800 98371930250 100732856576 108209123275 113764006400 114469155200 114789796000 125916070720 138507677792 139366196456 142205008000 143086444000 157395088400 166966976000 173134597240 174207745570 183663673600 191628520127 196743860500 201465713152 216418246550 228938310400 229579592000 251832141440 277015355584 278732392912 284410016000 286172888000 314790176800 346269194480 348415491140 367327347200 383257040254 393487721000 432836493100 435519363925 457876620800 459159184000 503664282880 541045616375 554030711168 557464785824 568820032000 572345776000 629580353600 692538388960 696830982280 766514080508 786975442000 865672986200 871038727850 918318368000 958142600635 1007328565760 1082091232750 1108061422336 1114929571648 1144691552000 1259160707200 1385076777920 1393661964560 1533028161016 1573950884000 1731345972400 1742077455700 1836636736000 1916285201270 2107913721397 2164182465500 2177596819625 2216122844672 2229859143296 2289383104000 2518321414400 2770153555840 2787323929120 3066056322032 3147901768000 3462691944800 3484154911400 3832570402540 4215827442794 4328364931000 4355193639250 4459718286592 4790713003175 5036642828800 5540307111680 5574647858240 6132112644064 6295803536000 6925383889600 6968309822800 7665140805080 8431654885588 8656729862000 8710387278500 8919436573184 9581426006350 10539568606985 11080614223360 11149295716480 12264225288128 12591607072000 13850767779200 13936619645600 15330281610160 16863309771176 17313459724000 17420774557000 19162852012700 21079137213970 22298591432960 23953565015875 24528450576256 25183214144000 27701535558400 27873239291200 30660563220320 33726619542352 34626919448000 34841549114000 38325704025400 42158274427940 44597182865920 47907130031750 49056901152512 52697843034925 55403071116800 55746478582400 61321126440640 67453239084704 69253838896000 69683098228000 76651408050800 84316548855880 95814260063500 98113802305024 105395686069850 111492957164800 122642252881280 134906478169408 138507677792000 139366196456000 153302816101600 168633097711760 191628520127000 210791372139700 222985914329600 245284505762560 263489215174625 269812956338816 277015355584000 278732392912000 306605632203200 337266195423520 383257040254000 421582744279400 490569011525120 526978430349250 539625912677632 557464785824000 613211264406400 674532390847040 766514080508000 843165488558800 1053956860698500 1079251825355264 1114929571648000 1226422528812800 1349064781694080 1533028161016000 1686330977117600 2107913721397000 2452845057625600 2698129563388160 3066056322032000 3372661954235200 4215827442794000 5396259126776320 6132112644064000 6745323908470400 8431654885588000 12264225288128000 13490647816940800 16863309771176000 26981295633881600 33726619542352000 67453239084704000 134906478169408000
• Sum of all divisors σ(n): 370525356924434712
• Sum of proper divisors (its aliquot sum) s(n): 235618878755026712
• 134906478169408000 is an abundant number, because the sum of its proper divisors (235618878755026712) is greater than itself. Its abundance is 100712400585618712

Bases of 134906478169408000

• Binary: 111011111010010001011101000100101001011111100001000000000₂
• Hexadecimal: 0x1DF48BA252FC200
• Base-36: 10WCCSHS0POG

Squares and roots of 134906478169408000

• 134906478169408000 squared (134906478169408000²) is 18199757852072957278747070464000000
• 134906478169408000 cubed (134906478169408000³) is 2455265235359192243724207075794049505165312000000000
• The square root of 134906478169408000 is 367296172.2770984719
• The cube root of 134906478169408000 is 512874.2973189635

Scales and comparisons

• 134,906,478,169,408,000 seconds is equal to 4,289,608,712 years, 33 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 134,906,478,169,408,000 would take you about twelve billion, eight hundred sixty-eight million, eight hundred twenty-six thousand, one hundred thirty-seven 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 134906478169408000 cubic inches would be around 42739.5 feet tall.

Recreational maths with 134906478169408000

• 134906478169408000 backwards is 000804961874609431
• The number of decimal digits it has is: 18
• The sum of 134906478169408000's digits is 70
• More coming soon!