82142720170422400

Names of 82142720170422400

• Cardinal: 82142720170422400 can be written as Eighty-two quadrillion, one hundred forty-two trillion, seven hundred twenty billion, one hundred seventy million, four hundred twenty-two thousand, four hundred.

Scientific notation

• Scientific notation: 8.21427201704224 × 10¹⁶

Factors of 82142720170422400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 108

Divisors of 82142720170422400

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 32 34 40 41 43 50 64 68 80 82 85 86 100 128 136 160 164 170 172 200 205 215 272 289 320 328 340 344 400 410 425 430 544 578 640 656 680 688 697 731 800 820 850 860 1025 1075 1088 1156 1312 1360 1376 1394 1445 1462 1600 1640 1681 1700 1720 1763 1849 2050 2150 2176 2312 2624 2720 2752 2788 2890 2924 3200 3280 3362 3400 3440 3485 3526 3655 3698 4100 4300 4624 4913 5248 5440 5504 5576 5780 5848 6560 6724 6800 6880 6970 7052 7225 7310 7396 8200 8405 8600 8815 9245 9248 9826 10880 11152 11560 11696 11849 12427 13120 13448 13600 13760 13940 14104 14450 14620 14792 16400 16810 17200 17425 17630 18275 18490 18496 19652 22304 23120 23392 23698 24565 24854 26240 26896 27200 27520 27880 28208 28577 28900 29240 29584 29971 31433 32800 33620 34400 34850 35260 36550 36980 36992 39304 42025 44075 44608 46225 46240 46784 47396 49130 49708 53792 54400 55760 56416 57154 57800 58480 59168 59245 59942 62135 62866 65600 67240 68800 68921 69700 70520 72283 73100 73960 75809 78608 84050 88150 89216 92450 92480 93568 94792 98260 99416 107584 111520 112832 114308 115600 116960 118336 118490 119884 122825 124270 125732 131200 134480 137600 137842 139400 141040 142885 144566 146200 147920 149855 151618 157165 157216 168100 176300 184900 184960 189584 196520 198832 201433 211259 215168 223040 225664 228616 231200 233920 236672 236980 239768 245650 248540 251464 268960 275684 278800 282080 285770 289132 292400 295840 296225 299710 303236 310675 314330 314432 336200 344605 352600 361415 369800 379045 379168 393040 397664 402866 422518 446080 457232 462400 467840 473960 479536 485809 491300 497080 502928 509507 534361 537920 551368 557600 564160 571540 578264 584800 591680 592450 599420 606472 621350 628660 628864 672400 689210 705200 714425 722830 739600 749275 758090 758336 785825 786080 795328 805732 845036 914464 924800 947920 959072 971618 982600 994160 1005856 1007165 1019014 1056295 1068722 1075840 1102736 1115200 1128320 1143080 1156528 1169600 1171657 1183360 1184900 1198840 1212944 1228811 1242700 1257320 1288753 1344800 1378420 1410400 1428850 1445660 1479200 1498550 1516180 1516672 1571650 1572160 1590656 1611464 1690072 1723025 1807075 1828928 1895225 1895840 1918144 1943236 1965200 1988320 2011712 2014330 2038028 2112590 2137444 2205472 2230400 2286160 2313056 2339200 2343314 2369800 2397680 2425888 2429045 2457622 2485400 2514640 2547535 2577506 2671805 2689600 2756840 2820800 2825761 2857700 2891320 2958400 2963603 2997100 3032360 3108169 3143300 3144320 3222928 3380144 3446050 3614150 3657856 3790450 3791680 3836288 3886472 3930400 3976640 4023424 4028660 4076056 4225180 4274888 4410944 4572320 4626112 4686628 4739600 4795360 4851776 4858090 4915244 4970800 5029280 5035825 5095070 5155012 5281475 5343610 5379200 5513680 5641600 5651522 5715400 5782640 5858285 5916800 5927206 5994200 6064720 6144055 6216338 6286600 6443765 6445856 6760288 6892100 7228300 7580900 7583360 7772944 7860800 7953280 8057320 8152112 8258753 8450360 8549776 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23570364467840 23878697723960 24159623579536 24432694875200 25043512247080 25669600053257 28092585557600 28423086564160 29462955584800 29848372154950 30199529474420 31304390308850 35528858205200 37749411843025 38205916358336 40069619595328 44425484137600 46592580924800 47757395447920 48319247159072 48865389750400 50087024494160 51339200106514 56185171115200 56846173128320 58925911169600 59696744309900 60399058948840 62608780617700 71057716410400 75498823686050 76411832716672 80139239190656 95514790895840 96638494318144 100174048988320 102678400213028 112370342230400 117851822339200 119393488619800 120798117897680 125217561235400 128348000266285 142115432820800 150997647372100 191029581791680 193276988636288 200348097976640 205356800426056 238786977239600 241596235795360 250435122470800 256696000532570 284230865641600 301995294744200 382059163583360 400696195953280 410713600852112 477573954479200 483192471590720 500870244941600 513392001065140 603990589488400 641740001331425 821427201704224 955147908958400 966384943181440 1001740489883200 1026784002130280 1207981178976800 1283480002662850 1642854403408448 1910295817916800 2003480979766400 2053568004260560 2415962357953600 2566960005325700 3285708806816896 4107136008521120 4831924715907200 5133920010651400 8214272017042240 10267840021302800 16428544034084480 20535680042605600 41071360085211200 82142720170422400
• Sum of all divisors σ(n): 226246713746026500
• Sum of proper divisors (its aliquot sum) s(n): 144103993575604100
• 82142720170422400 is an abundant number, because the sum of its proper divisors (144103993575604100) is greater than itself. Its abundance is 61961273405181700

Bases of 82142720170422400

• Binary: 100100011110101000101111001101000101001000111000010000000₂
• Hexadecimal: 0x123D45E68A47080
• Base-36: MGT5WP3A8HS

Squares and roots of 82142720170422400

• 82142720170422400 squared (82142720170422400²) is 6747426476996318998899794421760000
• 82142720170422400 cubed (82142720170422400³) is 554251964970407686590563596202293912062951424000000
• The square root of 82142720170422400 is 286605513.1542699407
• The cube root of 82142720170422400 is 434700.0533565551

Scales and comparisons

• 82,142,720,170,422,400 seconds is equal to 2,611,884,417 years, 15 weeks, 5 days, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 82,142,720,170,422,400 would take you about seven billion, eight hundred thirty-five million, six hundred fifty-three thousand, two hundred fifty-one 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 82142720170422400 cubic inches would be around 36225 feet tall.

Recreational maths with 82142720170422400

• 82142720170422400 backwards is 00422407102724128
• The number of decimal digits it has is: 17
• The sum of 82142720170422400's digits is 46
• More coming soon!