20400697442304

Names of 20400697442304

• Cardinal: 20400697442304 can be written as Twenty trillion, four hundred billion, six hundred ninety-seven million, four hundred forty-two thousand, three hundred four.

Scientific notation

• Scientific notation: 2.0400697442304 × 10¹³

Factors of 20400697442304

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 426

Divisors of 20400697442304

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 109 114 128 144 152 171 192 216 218 228 256 288 293 304 327 342 361 384 432 436 456 512 513 576 586 608 654 684 722 768 864 872 879 912 981 1024 1026 1083 1152 1172 1216 1308 1368 1444 1536 1728 1744 1758 1824 1962 2048 2052 2071 2166 2304 2344 2432 2616 2637 2736 2888 2943 3072 3249 3456 3488 3516 3648 3924 4096 4104 4142 4332 4608 4688 4864 5232 5274 5472 5567 5776 5886 6144 6213 6498 6912 6976 7032 7296 7848 7911 8192 8208 8284 8664 9216 9376 9728 9747 10464 10548 10944 11134 11552 11772 12288 12426 12996 13824 13952 14064 14592 15696 15822 16384 16416 16568 16701 17328 18432 18639 18752 19456 19494 20928 21096 21888 22268 23104 23544 24576 24852 25992 27648 27904 28128 29184 31392 31644 31937 32768 32832 33136 33402 34656 36864 37278 37504 38912 38988 39349 41856 42192 43776 44536 46208 47088 49152 49704 50103 51984 55296 55808 55917 56256 58368 62784 63288 63874 65536 65664 66272 66804 69312 73728 74556 75008 77824 77976 78698 83712 84384 87552 89072 92416 94176 95811 98304 99408 100206 103968 105773 110592 111616 111834 112512 116736 118047 125568 126576 127748 131328 132544 133608 138624 147456 149112 150016 150309 155648 155952 157396 167424 168768 175104 178144 184832 188352 191622 196608 198816 200412 207936 211546 221184 223232 223668 225024 233472 236094 251136 253152 255496 262656 265088 267216 277248 287433 294912 298224 300032 300618 311296 311904 314792 317319 334848 337536 350208 354141 356288 369664 376704 383244 397632 400824 415872 423092 442368 446464 447336 450048 466944 472188 502272 506304 510992 525312 530176 534432 554496 574866 589824 596448 600064 601236 606803 622592 623808 629584 634638 669696 675072 700416 708282 712576 739328 753408 766488 795264 801648 831744 846184 862299 884736 892928 894672 900096 933888 944376 951957 1004544 1012608 1021984 1050624 1060352 1062423 1068864 1108992 1149732 1192896 1200128 1202472 1213606 1245184 1247616 1259168 1269276 1339392 1350144 1400832 1416564 1425152 1478656 1506816 1532976 1590528 1603296 1663488 1692368 1724598 1769472 1785856 1789344 1800192 1820409 1867776 1888752 1903914 2009088 2025216 2043968 2101248 2120704 2124846 2137728 2217984 2299464 2385792 2400256 2404944 2427212 2495232 2518336 2538552 2678784 2700288 2801664 2833128 2850304 2855871 2957312 3013632 3065952 3181056 3206592 3326976 3384736 3449196 3571712 3578688 3600384 3640818 3735552 3777504 3807828 4018176 4050432 4087936 4202496 4241408 4249692 4275456 4435968 4598928 4771584 4800512 4809888 4854424 4990464 5036672 5077104 5357568 5400576 5461227 5603328 5666256 5700608 5711742 5914624 6027264 6131904 6362112 6413184 6653952 6769472 6898392 7143424 7157376 7200768 7281636 7555008 7615656 8036352 8100864 8175872 8404992 8482816 8499384 8550912 8871936 9197856 9543168 9601024 9619776 9708848 9980928 10073344 10154208 10715136 10801152 10922454 11206656 11332512 11401216 11423484 11529257 11829248 12054528 12263808 12724224 12826368 13307904 13538944 13796784 14314752 14401536 14563272 15110016 15231312 16072704 16201728 16351744 16383681 16809984 16965632 16998768 17101824 17743872 18395712 19086336 19202048 19239552 19417696 19961856 20146688 20308416 21430272 21602304 21844908 22665024 22802432 22846968 23058514 23658496 24109056 24527616 25448448 25652736 26615808 27077888 27593568 28629504 28803072 29126544 30220032 30462624 32145408 32403456 32703488 32767362 33619968 33931264 33997536 34203648 34587771 35487744 36791424 38172672 38479104 38835392 39923712 40293376 40616832 43204608 43689816 45330048 45604864 45693936 46117028 48218112 49055232 50896896 51305472 53231616 54155776 55187136 57259008 57606144 58253088 60440064 60925248 64290816 64806912 65406976 65534724 67862528 67995072 68407296 69175542 70975488 73582848 76345344 76958208 77670784 79847424 80586752 81233664 86409216 87379632 90660096 91209728 91387872 92234056 96436224 98110464 101793792 102610944 103763313 106463232 108311552 110374272 114518016 116506176 120880128 121850496 129613824 130813952 131069448 135725056 135990144 136814592 138351084 147165696 152690688 153916416 155341568 159694848 161173504 162467328 172818432 174759264 181320192 182419456 182775744 184468112 192872448 196220928 203587584 205221888 207526626 212926464 216623104 220748544 229036032 233012352 241760256 243700992 259227648 261627904 262138896 271980288 273629184 276702168 294331392 305381376 307832832 310683136 311289939 319389696 322347008 324934656 349518528 362640384 364838912 365551488 368936224 392441856 407175168 410443776 415053252 433246208 441497088 458072064 466024704 483520512 487401984 518455296 523255808 524277792 543960576 547258368 553404336 588662784 610762752 615665664 621366272 622579878 638779392 644694016 649869312 699037056 725280768 731102976 737872448 784883712 820887552 830106504 866492416 882994176 916144128 932049408 967041024 974803968 1046511616 1048555584 1087921152 1094516736 1106808672 1177325568 1221525504 1231331328 1242732544 1245159756 1289388032 1299738624 1398074112 1450561536 1462205952 1475744896 1569767424 1641775104 1660213008 1732984832 1765988352 1832288256 1864098816 1934082048 1949607936 2093023232 2097111168 2175842304 2213617344 2354651136 2462662656 2485465088 2490319512 2578776064 2599477248 2796148224 2901123072 2924411904 2951489792 3139534848 3283550208 3320426016 3465969664 3531976704 3664576512 3728197632 3868164096 3899215872 4194222336 4351684608 4427234688 4709302272 4925325312 4970930176 4980639024 5198954496 5592296448 5802246144 5848823808 5902979584 6279069696 6640852032 6931939328 7063953408 7456395264 7736328192 7798431744 8388444672 8703369216 8854469376 9418604544 9850650624 9941860352 9961278048 10397908992 11184592896 11604492288 11697647616 11805959168 13281704064 14127906816 14912790528 15596863488 16776889344 17406738432 17708938752 18837209088 19883720704 19922556096 20795817984 22369185792 23208984576 23395295232 23611918336 26563408128 28255813632 29825581056 31193726976 33553778688 34813476864 35417877504 39767441408 39845112192 44738371584 46790590464 47223836672 53126816256 56511627264 59651162112 62387453952 67107557376 69626953728 70835755008 79690224384 89476743168 93581180928 94447673344 106253632512 119302324224 134215114752 141671510016 159380448768 178953486336 187162361856 188895346688 212507265024 268430229504 283343020032 318760897536 357906972672 377790693376 425014530048 536860459008 566686040064 637521795072 755581386752 850029060096 1073720918016 1133372080128 1275043590144 1700058120192 2266744160256 2550087180288 3400116240384 5100174360576 6800232480768 10200348721152 20400697442304
• Sum of all divisors σ(n): 64599862773600
• Sum of proper divisors (its aliquot sum) s(n): 44199165331296
• 20400697442304 is an abundant number, because the sum of its proper divisors (44199165331296) is greater than itself. Its abundance is 23798467888992

Bases of 20400697442304

• Binary: 100101000110111101000010100110000000000000000₂
• Hexadecimal: 0x128DE8530000
• Base-36: 78BY8IYO0

Squares and roots of 20400697442304

• 20400697442304 squared (20400697442304²) is 416188456132428967408828416
• 20400697442304 cubed (20400697442304³) is 8490534772537294139328245640600395710464
• The square root of 20400697442304 is 4516713.1237553709
• The cube root of 20400697442304 is 27324.2555442355

Scales and comparisons

• 20,400,697,442,304 seconds is equal to 648,679 years, 3 weeks, 6 days, 8 hours, 38 minutes, 24 seconds.
• To count from 1 to 20,400,697,442,304 would take you about one million, six hundred twenty-one thousand, six hundred ninety-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 20400697442304 cubic inches would be around 2277 feet tall.

Recreational maths with 20400697442304

• 20400697442304 backwards is 40324479600402
• The number of decimal digits it has is: 14
• The sum of 20400697442304's digits is 45
• More coming soon!