12890907722975200

Names of 12890907722975200

• Cardinal: 12890907722975200 can be written as Twelve quadrillion, eight hundred ninety trillion, nine hundred seven billion, seven hundred twenty-two million, nine hundred seventy-five thousand, two hundred.

Scientific notation

• Scientific notation: 1.28909077229752 × 10¹⁶

Factors of 12890907722975200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 199

Divisors of 12890907722975200

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 41 50 53 62 67 80 82 100 106 124 134 155 160 164 200 205 212 248 265 268 310 328 335 400 410 424 496 530 536 620 656 670 775 800 820 848 961 992 1025 1060 1072 1240 1271 1312 1325 1340 1550 1640 1643 1675 1681 1696 1922 2050 2077 2120 2144 2173 2480 2542 2650 2680 2747 2809 3100 3280 3286 3350 3362 3551 3844 4100 4154 4240 4346 4805 4960 5084 5300 5360 5494 5618 6200 6355 6560 6572 6700 6724 7102 7688 8200 8215 8308 8405 8480 8692 9610 10168 10385 10600 10720 10865 10988 11236 12400 12710 13144 13400 13448 13735 14045 14204 15376 16400 16430 16616 16810 17384 17755 19220 20336 20770 21200 21730 21976 22472 24025 24800 25420 26288 26800 26896 27470 28090 28408 30752 31775 32800 32860 33232 33620 34768 35510 38440 39401 40672 41075 41540 42025 42400 43460 43952 44944 48050 50840 50933 51925 52111 52576 53600 53792 54325 54940 56180 56816 63550 64387 65720 66464 67240 67363 68675 69536 70225 71020 76880 78802 82150 83080 84050 85157 86920 87079 87904 88775 89093 89888 96100 101680 101866 103850 104222 108650 109880 110081 112360 112627 113632 115169 127100 128774 131440 134480 134726 137350 140450 142040 145591 148877 153760 157604 164300 166160 168100 170314 173840 174158 177550 178186 188203 192200 197005 203360 203732 207700 208444 217300 219760 220162 224720 225254 230338 254200 254665 257548 260555 262880 268960 269452 274700 280900 284080 291182 297754 315208 321935 328600 332320 336200 336815 340628 347680 348316 355100 356372 376406 384400 394010 407464 415400 416888 425785 434600 435395 439520 440324 445465 449440 450508 460676 508400 509330 515096 521110 538904 549400 550405 561800 563135 568160 575845 582364 595508 630416 643870 657200 672400 673630 681256 696632 710200 712744 727955 744385 752812 768800 788020 814928 830800 833776 851570 869200 870790 880648 890930 901016 921352 941015 985025 1016800 1018660 1030192 1042220 1077808 1098800 1100810 1123600 1126270 1151690 1164728 1191016 1260832 1273325 1287740 1302775 1314400 1344800 1347260 1362512 1393264 1420400 1425488 1455910 1488770 1505624 1576040 1609675 1615441 1629856 1661600 1667552 1684075 1703140 1738400 1741580 1761296 1781860 1802032 1842704 1882030 1970050 2037320 2060384 2084440 2088253 2128925 2155616 2176975 2197600 2201620 2227325 2247200 2252540 2303380 2329456 2382032 2546650 2575480 2605550 2639867 2694520 2699449 2725024 2752025 2761883 2786528 2815675 2840800 2850976 2879225 2911820 2977540 3011248 3152080 3219350 3230882 3368150 3406280 3412511 3483160 3491437 3522592 3563720 3570239 3604064 3639775 3685408 3721925 3764060 3940100 4074640 4168880 4176506 4257850 4353950 4403240 4454650 4505080 4513321 4606760 4615187 4658912 4705075 4721929 4764064 5093300 5150960 5211100 5279734 5389040 5398898 5504050 5523766 5631350 5758450 5823640 5834293 5955080 5969231 6022496 6103957 6304160 6438700 6461764 6736300 6812560 6825022 6966320 6982874 7127440 7140478 7279550 7443850 7528120 7716323 7880200 8077205 8149280 8337760 8353012 8515700 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11067740900 11193036080 11445663760 11472861982 11710383920 11731805354 11960300650 12368701160 12513111850 12654769720 12677918689 13086883808 13698939680 13991295100 14307079700 14469046640 14637979900 14803692880 14830772806 15137813360 15460876450 15516258694 15818462150 16358604760 16767569879 17123674600 17317527520 17708385440 18086308300 18151095076 18504616100 18922266700 19136481040 19171486798 19614893066 20020978960 20448255950 21646909400 22135481800 22386072160 22688868845 22891327520 22945723964 23420767840 23463610708 23920601300 24737402320 25026223700 25309539440 25355837378 27982590200 28614159400 28682154955 28938093280 29275959800 29329513385 29607385760 29661545612 30275626720 30921752900 31032517388 31636924300 32717209520 33535139758 34247349200 36172616600 36302190152 37009232200 37076932015 37844533400 38272962080 38342973596 38790646735 39229786132 40041957920 40896511900 43293818800 44270963600 45377737690 45891447928 46927221416 47841202600 47928716995 49037232665 49474804640 50052447400 50619078880 50711674756 55965180400 57228318800 57364309910 58551919600 58659026770 59323091224 61843505800 62065034776 63273848600 63389593445 65434419040 67070279516 68494698400 72345233200 72604380304 74018464400 74153864030 75689066800 76685947192 77581293470 78459572264 81793023800 83837849395 86587637600 88541927200 90755475380 91782895856 93854442832 95682405200 95857433990 98074465330 100104894800 101423349512 111930360800 113444344225 114456637600 114728619820 117103839200 117318053540 118646182448 123687011600 124130069552 126547697200 126779186890 134140559032 143410774775 144690466400 145208760608 146647566925 148036928800 148307728060 151378133600 153371894384 155162586940 156919144528 163586047600 167675698790 181510950760 183565791712 185384660075 187708885664 191364810400 191714867980 193953233675 196148930660 200209789600 202846699024 226888688450 229457239640 234636107080 237292364896 239643584975 240502009757 245186163325 247374023200 248260139104 253095394400 253558373780 268281118064 286821549550 293295133850 296615456120 304030842523 306743788768 310325173880 313838289056 316947967225 327172095200 335351397580 363021901520 370769320150 383429735960 387906467350 392297861320 393015479359 405693398048 419189246975 453777376900 458914479280 469272214160 479287169950 481004019514 490372326650 507116747560 519794666249 536562236128 573643099100 586590267700 593230912240 608061685046 620650347760 633895934450 670702795160 726043803040 741538640300 766859471920 775812934700 784595722640 786030958718 838378493950 907554753800 917828958560 938544428320 958574339900 962008039028 980744653300 1014233495120 1039589332498 1147286198200 1173180535400 1186461824480 1202510048785 1216123370092 1241300695520 1267791868900 1341405590320 1483077280600 1520154212615 1533718943840 1551625869400 1569191445280 1572061917436 1676756987900 1815109507600 1917148679800 1924016078056 1961489306600 1965077396795 2028466990240 2079178664996 2294572396400 2346361070800 2405020097570 2432246740184 2535583737800 2598973331245 2682811180640 2966154561200 3040308425230 3103251738800 3144123834872 3353513975800 3630219015200 3834297359600 3848032156112 3922978613200 3930154793590 4158357329992 4589144792800 4692722141600 4810040195140 4864493480368 5071167475600 5197946662490 5932309122400 6012550243925 6080616850460 6206503477600 6288247669744 6707027951600 7600771063075 7668594719200 7696064312224 7845957226400 7860309587180 8316714659984 9620080390280 9728986960736 9825386983975 10142334951200 10395893324980 12025100487850 12161233700920 12576495339488 12994866656225 13414055903200 15201542126150 15720619174360 16113634653719 16633429319968 19240160780560 19650773967950 20791786649960 24050200975700 24322467401840 25989733312450 30403084252300 31441238348720 32227269307438 38480321561120 39301547935900 41583573299920 48100401951400 48644934803680 51979466624900 60806168504600 62882476697440 64454538614876 78603095871800 80568173268595 83167146599840 96200803902800 103958933249800 121612337009200 128909077229752 157206191743600 161136346537190 192401607805600 207917866499600 243224674018400 257818154459504 314412383487200 322272693074380 402840866342975 415835732999200 515636308919008 644545386148760 805681732685950 1289090772297520 1611363465371900 2578181544595040 3222726930743800 6445453861487600 12890907722975200
• Sum of all divisors σ(n): 34478293448143440
• Sum of proper divisors (its aliquot sum) s(n): 21587385725168240
• 12890907722975200 is an abundant number, because the sum of its proper divisors (21587385725168240) is greater than itself. Its abundance is 8696478002193040

Bases of 12890907722975200

• Binary: 101101110011000011011001010111101010010000011111100000₂
• Hexadecimal: 0x2DCC3657A907E0
• Base-36: 3IXG194VV8G

Squares and roots of 12890907722975200

• 12890907722975200 squared (12890907722975200²) is 166175501922261655705939815040000
• 12890907722975200 cubed (12890907722975200³) is 2142153061098962970718794489610820246507008000000
• The square root of 12890907722975200 is 113538133.3428342037
• The cube root of 12890907722975200 is 234473.8960913871

Scales and comparisons

• 12,890,907,722,975,200 seconds is equal to 409,890,991 years, 20 weeks, 3 days, 18 hours, 26 minutes, 40 seconds.
• To count from 1 to 12,890,907,722,975,200 would take you about one billion, two hundred twenty-nine million, six hundred seventy-two thousand, nine 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 12890907722975200 cubic inches would be around 19539.5 feet tall.

Recreational maths with 12890907722975200

• 12890907722975200 backwards is 00257922770909821
• The number of decimal digits it has is: 17
• The sum of 12890907722975200's digits is 70
• More coming soon!