135664440945930240

Names of 135664440945930240

• Cardinal: 135664440945930240 can be written as One hundred thirty-five quadrillion, six hundred sixty-four trillion, four hundred forty billion, nine hundred forty-five million, nine hundred thirty thousand, two hundred forty.

Scientific notation

• Scientific notation: 1.3566444094593024 × 10¹⁷

Factors of 135664440945930240

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 86

Divisors of 135664440945930240

• Number of divisors d(n): 1300
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 53 60 64 69 80 92 96 106 115 120 128 138 159 160 184 192 212 230 240 256 265 276 318 320 345 368 384 424 460 480 512 529 530 552 636 640 690 736 768 795 848 920 960 1024 1058 1060 1104 1219 1272 1280 1380 1472 1536 1587 1590 1696 1840 1920 2048 2116 2120 2208 2438 2544 2560 2645 2760 2809 2944 3072 3174 3180 3392 3657 3680 3840 4096 4232 4240 4416 4876 5088 5120 5290 5520 5618 5888 6095 6144 6348 6360 6784 7314 7360 7680 7935 8427 8464 8480 8832 9752 10176 10240 10580 11040 11236 11776 12167 12190 12288 12696 12720 13568 14045 14628 14720 15360 15870 16854 16928 16960 17664 18285 19504 20352 20480 21160 22080 22472 23552 24334 24380 25392 25440 27136 28037 28090 29256 29440 30720 31740 33708 33856 33920 35328 36501 36570 39008 40704 42135 42320 44160 44944 47104 48668 48760 50784 50880 54272 56074 56180 58512 58880 60835 61440 63480 64607 67416 67712 67840 70656 73002 73140 78016 81408 84111 84270 84640 88320 89888 94208 97336 97520 101568 101760 108544 112148 112360 117024 117760 121670 126960 129214 134832 135424 135680 140185 141312 146004 146280 148877 156032 162816 168222 168540 169280 176640 179776 182505 193821 194672 195040 203136 203520 217088 224296 224720 234048 235520 243340 253920 258428 269664 270848 271360 279841 280370 282624 292008 292560 297754 312064 323035 325632 336444 337080 338560 353280 359552 365010 387642 389344 390080 406272 407040 420555 446631 448592 449440 468096 471040 486680 507840 516856 539328 541696 542720 559682 560740 584016 585120 595508 624128 644851 646070 651264 672888 674160 677120 706560 719104 730020 744385 775284 778688 780160 812544 814080 839523 841110 893262 897184 898880 936192 969105 973360 1015680 1033712 1078656 1083392 1085440 1119364 1121480 1168032 1170240 1191016 1248256 1289702 1292140 1345776 1348320 1354240 1399205 1413120 1438208 1460040 1485961 1488770 1550568 1557376 1560320 1625088 1628160 1679046 1682220 1786524 1794368 1797760 1872384 1934553 1938210 1946720 2031360 2067424 2157312 2166784 2233155 2238728 2242960 2336064 2340480 2382032 2496512 2579404 2584280 2691552 2696640 2708480 2798410 2876416 2920080 2971922 2977540 3101136 3114752 3120640 3224255 3250176 3256320 3358092 3364440 3424171 3573048 3588736 3595520 3744768 3869106 3876420 3893440 4062720 4134848 4197615 4314624 4457883 4466310 4477456 4485920 4672128 4680960 4764064 4993024 5158808 5168560 5383104 5393280 5416960 5596820 5752832 5840160 5943844 5955080 6202272 6229504 6241280 6448510 6500352 6716184 6728880 6848342 7146096 7177472 7191040 7429805 7489536 7738212 7752840 7786880 7890481 8125440 8269696 8395230 8629248 8915766 8932620 8954912 8971840 9344256 9361920 9528128 9672765 10272513 10317616 10337120 10766208 10786560 10833920 11193640 11505664 11680320 11887688 11910160 12404544 12459008 12482560 12897020 13432368 13457760 13696684 14292192 14354944 14382080 14831573 14859610 14979072 15476424 15505680 15573760 15780962 16250880 16539392 16790460 17120855 17258496 17831532 17865240 17909824 17943680 18688512 18723840 19056256 19345530 20545026 20635232 20674240 21532416 21573120 22289415 22387280 23360640 23671443 23775376 23820320 24809088 24918016 24965120 25794040 26864736 26915520 27393368 28584384 28709888 28764160 29663146 29719220 30952848 31011360 31147520 31561924 32501760 33078784 33580920 34177103 34241710 34516992 35663064 35730480 35819648 35887360 37377024 37447680 38112512 38691060 39452405 41090052 41270464 41348480 43064832 43146240 44494719 44578830 44774560 46721280 47342886 47550752 47640640 49618176 49836032 51362565 51588080 53729472 53831040 54786736 57168768 57419776 57528320 59326292 59438440 61905696 62022720 62295040 63123848 66157568 67161840 68354206 68483420 71326128 71460960 71639296 71774720 74157865 74754048 74895360 76225024 77382120 78755933 78904810 82180104 82540928 82696960 86129664 86292480 88989438 89157660 89549120 93442560 94685772 95101504 95281280 99236352 102531309 102725130 103176160 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9274298670080 9659269558272 9998853253680 10665443470592 10685604989440 11040400467605 11129158404096 11150196510720 11520417879240 12074086947840 12288445737856 12822725987328 13248480561126 13331804338240 13911448005120 15360557172320 15998165205888 16028407484160 16098782597120 17096967983104 17664640748168 18432668606784 18548597340160 19997706507360 21330886941184 21371209978880 22080800935210 22258316808192 23040835758480 24148173895680 24576891475712 25645451974656 26496961122252 26663608676480 27822896010240 30721114344640 31996330411776 32056814968320 33121201402815 35329281496336 36865337213568 37097194680320 39995413014720 42661773882368 42742419957760 44161601870420 46081671516960 48296347791360 49153782951424 51290903949312 52993922244504 53327217352960 55645792020480 61442228689280 63992660823552 64113629936640 66242402805630 70658562992672 73730674427136 79990826029440 85323547764736 85484839915520 88323203740840 92163343033920 98307565902848 105987844489008 106654434705920 111291584040960 122884457378560 127985321647104 128227259873280 132484805611260 141317125985344 147461348854272 159981652058880 170647095529472 176646407481680 184326686067840 196615131805696 211975688978016 213308869411840 245768914757120 255970643294208 256454519746560 264969611222520 282634251970688 294922697708544 319963304117760 353292814963360 368653372135680 393230263611392 423951377956032 426617738823680 491537829514240 511941286588416 529939222445040 565268503941376 589845395417088 639926608235520 706585629926720 737306744271360 847902755912064 853235477647360 983075659028480 1059878444890080 1130537007882752 1179690790834176 1279853216471040 1413171259853440 1474613488542720 1695805511824128 1966151318056960 2119756889780160 2261074015765504 2559706432942080 2826342519706880 2949226977085440 3391611023648256 4239513779560320 4522148031531008 5652685039413760 5898453954170880 6783222047296512 8479027559120640 9044296063062016 11305370078827520 13566444094593024 16958055118241280 22610740157655040 27132888189186048 33916110236482560 45221480315310080 67832220472965120 135664440945930240
• Sum of all divisors σ(n): 462530741411576904
• Sum of proper divisors (its aliquot sum) s(n): 326866300465646664
• 135664440945930240 is an abundant number, because the sum of its proper divisors (326866300465646664) is greater than itself. Its abundance is 191201859519716424

Bases of 135664440945930240

• Binary: 111100001111110100001011100011011001110111111000000000000₂
• Hexadecimal: 0x1E1FA171B3BF000
• Base-36: 113T13SB54AO

Squares and roots of 135664440945930240

• 135664440945930240 squared (135664440945930240²) is 18404840537171793472115218946457600
• 135664440945930240 cubed (135664440945930240³) is 2496882402174405771678810314156942653419184717824000
• The square root of 135664440945930240 is 368326541.1912780417
• The cube root of 135664440945930240 is 513833.0203791163

Scales and comparisons

• 135,664,440,945,930,240 seconds is equal to 4,313,709,584 years, 21 weeks, 3 days, 1 hour, 4 minutes.
• To count from 1 to 135,664,440,945,930,240 would take you about twelve billion, nine hundred forty-one million, one hundred twenty-eight thousand, seven hundred fifty-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 135664440945930240 cubic inches would be around 42819.4 feet tall.

Recreational maths with 135664440945930240

• 135664440945930240 backwards is 042039549044466531
• 135664440945930240 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135664440945930240's digits is 69
• More coming soon!