34914117038653440

Names of 34914117038653440

• Cardinal: 34914117038653440 can be written as Thirty-four quadrillion, nine hundred fourteen trillion, one hundred seventeen billion, thirty-eight million, six hundred fifty-three thousand, four hundred forty.

Scientific notation

• Scientific notation: 3.491411703865344 × 10¹⁶

Factors of 34914117038653440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 173933

Divisors of 34914117038653440

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 256 280 288 315 320 336 360 384 420 448 480 504 512 560 576 630 640 672 720 768 840 896 960 1008 1024 1120 1152 1260 1280 1344 1440 1536 1680 1792 1920 2016 2048 2240 2304 2520 2560 2688 2880 3072 3360 3584 3840 4032 4096 4480 4608 5040 5120 5376 5760 6144 6720 7168 7680 8064 8192 8960 9216 10080 10240 10752 11520 12288 13440 14336 15360 16128 16384 17920 18432 20160 20480 21504 23040 24576 26880 28672 30720 32256 35840 36864 40320 40960 43008 46080 49152 53760 57344 58733 61440 64512 71680 73728 80640 81920 86016 92160 107520 114688 115183 117466 122880 129024 143360 147456 161280 172032 176199 184320 215040 230366 234932 245760 258048 286720 293665 322560 344064 345549 352398 368640 411131 430080 460732 469864 516096 528597 573440 575915 587330 645120 691098 704796 737280 806281 822262 860160 880995 921464 939728 1032192 1036647 1057194 1151830 1174660 1233393 1290240 1382196 1409592 1612562 1644524 1720320 1727745 1761990 1842928 1879456 2055655 2073294 2114388 2303660 2349320 2418843 2466786 2580480 2642985 2764392 2819184 3225124 3289048 3455490 3523980 3685856 3700179 3758912 4031405 4111310 4146588 4228776 4607320 4698640 4837686 4933572 5160960 5183235 5285970 5528784 5638368 6166965 6450248 6578096 6910980 7047960 7256529 7371712 7400358 7517824 8062810 8222620 8293176 8457552 9214640 9397280 9675372 9867144 10366470 10571940 11057568 11276736 12094215 12333930 12900496 13156192 13821960 14095920 14513058 14743424 14800716 15035648 16125620 16445240 16586352 16915104 18429280 18500895 18794560 19350744 19734288 20732940 21143880 22115136 22553472 24188430 24667860 25800992 26312384 27643920 28191840 29026116 29486848 29601432 30071296 32251240 32890480 33172704 33830208 36282645 36858560 37001790 37589120 38701488 39468576 41465880 42287760 44230272 45106944 48376860 49335720 51601984 52624768 55287840 56383680 58052232 58973696 59202864 60142592 64502480 65780960 66345408 67660416 72565290 73717120 74003580 75178240 77402976 78937152 82931760 84575520 88460544 90213888 96753720 98671440 103203968 105249536 110575680 112767360 116104464 117947392 118405728 120285184 129004960 131561920 132690816 135320832 145130580 147434240 148007160 150356480 154805952 157874304 165863520 169151040 176921088 180427776 193507440 197342880 206407936 210499072 221151360 225534720 232208928 235894784 236811456 240570368 258009920 263123840 265381632 270641664 290261160 294868480 296014320 300712960 309611904 315748608 331727040 338302080 353842176 360855552 387014880 394685760 412815872 420998144 442302720 451069440 464417856 471789568 473622912 481140736 516019840 526247680 530763264 541283328 580522320 589736960 592028640 601425920 619223808 631497216 663454080 676604160 707684352 721711104 774029760 789371520 825631744 841996288 884605440 902138880 928835712 943579136 947245824 962281472 1032039680 1052495360 1061526528 1082566656 1161044640 1179473920 1184057280 1202851840 1238447616 1262994432 1326908160 1353208320 1415368704 1443422208 1548059520 1578743040 1651263488 1683992576 1769210880 1804277760 1857671424 1887158272 1894491648 2064079360 2104990720 2123053056 2165133312 2322089280 2358947840 2368114560 2405703680 2476895232 2525988864 2653816320 2706416640 2830737408 2886844416 3096119040 3157486080 3302526976 3367985152 3538421760 3608555520 3715342848 3788983296 4128158720 4209981440 4246106112 4330266624 4644178560 4717895680 4736229120 4811407360 4953790464 5051977728 5307632640 5412833280 5661474816 6192238080 6314972160 6605053952 6735970304 6765043139 7076843520 7217111040 7430685696 7577966592 8256317440 8419962880 8492212224 8660533248 9288357120 9435791360 9472458240 9907580928 10103955456 10615265280 10825666560 12384476160 12629944320 13210107904 13530086278 14153687040 14434222080 14861371392 15155933184 16512634880 16839925760 16984424448 18576714240 18944916480 19815161856 20207910912 20295129417 21230530560 21651333120 24768952320 25259888640 27060172556 28307374080 29722742784 30311866368 33025269760 33679851520 33825215695 37153428480 37889832960 39630323712 40590258834 42461061120 43302666240 47355301973 49537904640 50519777280 54120345112 59445485568 60623732736 60885388251 66050539520 67650431390 74306856960 75779665920 81180517668 84922122240 94710603946 99075809280 101039554560 101475647085 108240690224 118890971136 121770776502 135300862780 142065905919 148613713920 151559331840 162361035336 189421207892 198151618560 202951294170 216481380448 236776509865 243541553004 270601725560 284131811838 297227427840 303118663680 304426941255 324722070672 378842415784 405902588340 426197717757 432962760896 473553019730 487083106008 541203451120 568263623676 594454855680 608853882510 649444141344 710329529595 757684831568 811805176680 852395435514 865925521792 947106039460 974166212016 1082406902240 1136527247352 1217707765020 1298888282688 1420659059190 1515369663136 1623610353360 1704790871028 1731851043584 1894212078920 1948332424032 2130988588785 2164813804480 2273054494704 2435415530040 2597776565376 2841318118380 3030739326272 3247220706720 3409581742056 3463702087168 3788424157840 3896664848064 4261977177570 4329627608960 4546108989408 4870831060080 5195553130752 5682636236760 6061478652544 6494441413440 6819163484112 6927404174336 7576848315680 7793329696128 8523954355140 8659255217920 9092217978816 9741662120160 10391106261504 11365272473520 12122957305088 12988882826880 13638326968224 13854808348672 15153696631360 15586659392256 17047908710280 17318510435840 18184435957632 19483324240320 20782212523008 22730544947040 24245914610176 25977765653760 27276653936448 27709616697344 30307393262720 31173318784512 34095817420560 34637020871680 36368871915264 38966648480640 41564425046016 45461089894080 48491829220352 51955531307520 54553307872896 55419233394688 60614786525440 62346637569024 68191634841120 69274041743360 72737743830528 77933296961280 83128850092032 90922179788160 96983658440704 103911062615040 109106615745792 110838466789376 121229573050880 124693275138048 136383269682240 138548083486720 145475487661056 155866593922560 166257700184064 181844359576320 193967316881408 207822125230080 218213231491584 242459146101760 249386550276096 272766539364480 277096166973440 290950975322112 311733187845120 332515400368128 363688719152640 387934633762816 415644250460160 436426462983168 484918292203520 498773100552192 545533078728960 554192333946880 581901950644224 623466375690240 727377438305280 775869267525632 831288500920320 872852925966336 969836584407040 997546201104384 1091066157457920 1163803901288448 1246932751380480 1454754876610560 1662577001840640 1745705851932672 1939673168814080 2182132314915840 2327607802576896 2493865502760960 2909509753221120 3491411703865344 3879346337628160 4364264629831680 4987731005521920 5819019506442240 6982823407730688 8728529259663360 11638039012884480 17457058519326720 34914117038653440
• Sum of all divisors σ(n): 138325741178946048
• Sum of proper divisors (its aliquot sum) s(n): 103411624140292608
• 34914117038653440 is an abundant number, because the sum of its proper divisors (103411624140292608) is greater than itself. Its abundance is 68497507101639168

Bases of 34914117038653440

• Binary: 1111100000010100011010001010111101111000100000000000000₂
• Hexadecimal: 0x7C0A3457BC4000
• Base-36: 9JS0RXX0XS0

Squares and roots of 34914117038653440

• 34914117038653440 squared (34914117038653440²) is 1218995568588790454719048423833600
• 34914117038653440 cubed (34914117038653440³) is 42560153951308926895256755312447354038946627584000
• The square root of 34914117038653440 is 186853196.4903288455
• The cube root of 34914117038653440 is 326838.8605843709

Scales and comparisons

• 34,914,117,038,653,440 seconds is equal to 1,110,160,925 years, 19 weeks, 3 days, 6 hours, 24 minutes.
• To count from 1 to 34,914,117,038,653,440 would take you about three billion, three hundred thirty million, four hundred eighty-two thousand, seven hundred seventy-six 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 34914117038653440 cubic inches would be around 27236.6 feet tall.

Recreational maths with 34914117038653440

• 34914117038653440 backwards is 04435683071141943
• 34914117038653440 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34914117038653440's digits is 63
• More coming soon!