820538220040

Names of 820538220040

• Cardinal: 820538220040 can be written as Eight hundred twenty billion, five hundred thirty-eight million, two hundred twenty thousand and forty.

Scientific notation

• Scientific notation: 8.2053822004 × 10¹¹

Factors of 820538220040

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 611

Divisors of 820538220040

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 17 20 22 28 31 34 35 40 44 49 55 56 62 68 70 77 85 88 98 110 119 124 136 140 154 155 170 187 196 217 220 238 245 248 257 280 281 308 310 340 341 374 385 392 434 440 476 490 514 527 539 562 595 616 620 680 682 748 770 833 868 935 952 980 1028 1054 1078 1085 1124 1190 1240 1285 1309 1364 1405 1496 1519 1540 1666 1705 1736 1799 1870 1960 1967 2056 2108 2156 2170 2248 2380 2387 2570 2618 2635 2695 2728 2810 2827 3038 3080 3091 3332 3410 3598 3689 3740 3934 4165 4216 4312 4340 4369 4760 4774 4777 5140 5236 5270 5390 5620 5654 5797 6076 6182 6545 6664 6820 7196 7378 7480 7595 7868 7967 8330 8680 8711 8738 8995 9163 9548 9554 9835 10280 10472 10540 10780 11240 11308 11594 11935 12152 12364 12593 13090 13640 13769 14135 14392 14756 15190 15455 15736 15934 16660 16709 17422 17476 17990 18326 18445 19096 19108 19670 19789 21080 21560 21637 21845 22616 23188 23870 23885 24728 25186 25823 26180 27538 28270 28985 29512 30380 30583 30910 31868 33320 33418 33439 34844 34952 35980 36652 36890 38216 39340 39578 39835 40579 43274 43555 43690 45815 46376 47740 47770 48059 50372 51646 52360 52547 55076 55769 56540 57970 60760 60977 61166 61820 62965 63736 66836 66878 68845 69688 71960 72217 73304 73780 78680 79156 79670 81158 83545 86548 87110 87380 87637 91630 95480 95540 95821 96118 98945 100744 103292 105094 108185 110152 111538 113080 115940 121954 122332 123640 125930 129115 133672 133756 135439 137690 138523 144434 147560 148087 151459 152915 158312 159340 162316 167090 167195 173096 174220 174760 175274 183260 191080 191642 192236 197890 202895 206584 210188 214081 216370 223076 231880 234073 240295 243908 244664 251860 258230 262735 267512 270878 275380 277046 278845 284053 288868 296174 302918 304885 305830 318680 324632 334180 334390 336413 348440 350548 361085 366520 367829 383284 384472 390383 395780 405790 420376 426839 428162 432740 438185 446152 468146 479105 480590 487816 503720 505519 516460 525470 541756 550760 554092 557690 568106 577736 592348 605836 609770 611660 613459 668360 668780 670747 672826 677195 692615 701096 722170 735658 740435 757295 766568 780766 791560 794387 811580 853678 856324 865480 876370 936292 948073 958210 961180 1011038 1032920 1036609 1050940 1070405 1083512 1108184 1115380 1136212 1170365 1184696 1211672 1219540 1223320 1226918 1227689 1337560 1341494 1345652 1354390 1385230 1420265 1444340 1471316 1480870 1489829 1514590 1561532 1588774 1623160 1628957 1682065 1707356 1712648 1752740 1839145 1872584 1896146 1916420 1922360 1951915 2022076 2073218 2101880 2134195 2140810 2230760 2238727 2272424 2340730 2354891 2439080 2453836 2455378 2527595 2574803 2682988 2691304 2708780 2770460 2840530 2888680 2942632 2961740 2979658 3029180 3067295 3123064 3177548 3257914 3353735 3364130 3414712 3505480 3538633 3678290 3792292 3832840 3903830 3971935 4044152 4146436 4268390 4281620 4294213 4477454 4681460 4695229 4709782 4740365 4907672 4910756 5055190 5149606 5183045 5365976 5417560 5540920 5560709 5681060 5923480 5959316 6058360 6134590 6138445 6355096 6515828 6636511 6707470 6728260 7077266 7256263 7356580 7449145 7584584 7807660 7943870 8144785 8292872 8536780 8563240 8588426 8593823 8954908 9362920 9390458 9419564 9480730 9821512 10110380 10299212 10366090 10428803 11121418 11193635 11362120 11402699 11774455 11918632 12269180 12276890 12874015 13031656 13273022 13414940 13456520 13504579 14154532 14512526 14713160 14898290 15615320 15671089 15887740 16289570 17073560 17176852 17187646 17693165 17909816 18780916 18839128 18961460 20220760 20598424 20732180 20857606 21471065 22242836 22387270 22805398 23476145 23548910 24538360 24553780 24625997 25748030 26546044 26829880 27009158 27803545 28309064 29025052 29796580 31342178 31775480 32579140 33182555 34353704 34375292 35386330 36281315 37561832 37922920 38058359 38924963 41464360 41715212 42942130 42969115 44485672 44774540 45610796 46952290 47097820 49107560 49251994 51496060 52144015 53092088 54018316 55607090 57013495 58050104 59593160 60156761 62684356 65158280 66365110 67522895 68750584 70772660 72562630 73001621 76116718 77849926 78355445 79818893 83430424 85884260 85938230 89549080 91221592 93904580 94195640 94532053 98503988 102992120 104288030 108036632 109697623 111214180 114026990 120313522 123129985 125368712 132730220 135045790 141545320 145125260 146003242 152233436 155699852 156710890 159637786 171768520 171876460 172381979 187809160 189064106 190291795 194624815 197007976 208576060 219395246 222428360 228053980 240627044 246259970 265460440 266408513 270091580 290250520 292006484 300783805 304466872 311399704 313421780 319275572 343752920 344763958 365008105 378128212 380583590 389249630 399094465 417152120 418641949 438790492 456107960 472660265 481254088 492519940 532817026 540183160 548488115 584012968 601567610 626843560 638551144 661724371 689527916 730016210 756256424 761167180 778499260 798188930 837283898 861909895 877580984 945320530 985039880 1065634052 1096976230 1203135220 1206673853 1323448742 1332042565 1379055832 1460032420 1522334360 1556998520 1596377860 1674567796 1723819790 1864859591 1890641060 2093209745 2131268104 2193952460 2406270440 2413347706 2646897484 2664085130 2920064840 2930493643 3192755720 3308621855 3349135592 3447639580 3729719182 3781282120 4186419490 4387904920 4826695412 5293794968 5328170260 5860987286 6033369265 6617243710 6895279160 7459438364 8372838980 9324297955 9653390824 10656340520 11721974572 12066738530 13234487420 14652468215 14918876728 16745677960 18648595910 20513455501 23443949144 24133477060 26468974840 29304936430 37297191820 41026911002 48266954120 58609872860 74594383640 82053822004 102567277505 117219745720 164107644008 205134555010 410269110020 820538220040
• Sum of all divisors σ(n): 2579822991360
• Sum of proper divisors (its aliquot sum) s(n): 1759284771320
• 820538220040 is an abundant number, because the sum of its proper divisors (1759284771320) is greater than itself. Its abundance is 938746551280

Bases of 820538220040

• Binary: 1011111100001011111000111001111000001000₂
• Hexadecimal: 0xBF0BE39E08
• Base-36: AGY79QMG

Squares and roots of 820538220040

• 820538220040 squared (820538220040²) is 673282970546411457601600
• 820538220040 cubed (820538220040³) is 552454410235396203629878791456064000
• The square root of 820538220040 is 905835.6473665627
• The cube root of 820538220040 is 9361.9490153521

Scales and comparisons

• 820,538,220,040 seconds is equal to 26,090 years, 30 weeks, 3 hours, 20 minutes, 40 seconds.
• To count from 1 to 820,538,220,040 would take you about fifty-two thousand, one hundred eighty-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 820538220040 cubic inches would be around 780.2 feet tall.

Recreational maths with 820538220040

• 820538220040 backwards is 040022835028
• 820538220040 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 820538220040's digits is 34
• More coming soon!