21828138640584640

Names of 21828138640584640

• Cardinal: 21828138640584640 can be written as Twenty-one quadrillion, eight hundred twenty-eight trillion, one hundred thirty-eight billion, six hundred forty million, five hundred eighty-four thousand, six hundred forty.

Scientific notation

• Scientific notation: 2.182813864058464 × 10¹⁶

Factors of 21828138640584640

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 545206

Divisors of 21828138640584640

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 61 64 65 70 80 91 104 112 122 130 140 160 182 208 224 244 260 280 305 320 364 416 427 448 455 488 520 560 610 728 793 832 854 910 976 1040 1120 1220 1456 1586 1708 1820 1952 2080 2135 2240 2440 2912 3172 3416 3640 3904 3965 4160 4270 4880 5551 5824 6344 6832 7280 7930 8540 9760 11102 12688 13664 14560 15860 17080 19520 22204 23561 25376 27328 27755 29120 31720 34160 44408 47122 50752 55510 63440 68320 88816 94244 111020 117805 126880 136640 164927 177632 188488 222040 235610 253760 306293 329854 355264 376976 444080 471220 521557 612586 659708 753952 824635 888160 942440 1043114 1225172 1319416 1437221 1507904 1531465 1649270 1776320 1884880 2086228 2144051 2450344 2607785 2638832 2874442 3062930 3298540 3650899 3769760 4172456 4288102 4900688 5215570 5277664 5748884 6125860 6597080 6780241 7186105 7301798 7539520 8344912 8576204 9801376 10060547 10431140 10555328 10720255 11497768 12251720 13194160 13560482 14372210 14603596 16689824 17152408 18254495 18683873 19602752 20121094 20862280 21440510 22995536 24503440 26388320 27120964 28744420 29207192 31814977 33379648 33901205 34304816 36508990 37367746 40242188 41724560 42881020 45991072 47461687 49006880 50302735 52776640 54241928 57488840 58414384 63629954 67802410 68609632 73017980 74735492 80484376 83449120 85762040 91982144 93419365 94923374 98013760 100605470 108483856 114977680 116828768 127259908 130787111 135604820 137219264 146035960 149470984 159074885 160968752 166898240 171524080 186838730 189846748 201210940 216967712 222704839 229955360 233657536 237308435 254519816 261574222 271209640 292071920 298941968 318149770 321937504 343048160 373677460 379693496 402421880 413594701 433935424 445409678 459910720 474616870 509039632 523148444 542419280 584143840 597883936 636299540 643875008 653935555 686096320 747354920 759386992 804843760 827189402 890819356 949233740 1018079264 1046296888 1084838560 1113524195 1168287680 1195767872 1272599080 1307871110 1494709840 1518773984 1609687520 1654378804 1781638712 1898467480 2036158528 2067973505 2092593776 2169677120 2227048390 2545198160 2615742220 2895162907 2989419680 3037547968 3219375040 3308757608 3563277424 3796934960 4135947010 4185187552 4454096780 5090396320 5231484440 5790325814 5978839360 6617515216 7126554848 7593869920 8271894020 8370375104 8908193560 10180792640 10462968880 11580651628 12288404477 13235030432 14253109696 14475814535 15187739840 16543788040 17816387120 20925937760 23161303256 24576808954 26470060864 28951629070 33087576080 35632774240 41851875520 46322606512 49153617908 57903258140 61442022385 66175152160 71265548480 86018831339 92645213024 98307235816 115806516280 122884044770 132350304320 159749258201 172037662678 185290426048 196614471632 231613032560 245768089540 319498516402 344075325356 393228943264 430094156695 463226065120 491536179080 638997032804 688150650712 749592673097 786457886528 798746291005 860188313390 926452130240 983072358160 1118244807407 1277994065608 1376301301424 1499185346194 1597492582010 1720376626780 1966144716320 2236489614814 2555988131216 2752602602848 2998370692388 3194985164020 3440753253560 3747963365485 3932289432640 4472979229628 5111976262432 5247148711679 5505205205696 5591224037035 5996741384776 6389970328040 6881506507120 7495926730970 8945958459256 9744704750261 10223952524864 10494297423358 11182448074070 11993482769552 12779940656080 13763013014240 14991853461940 17891916918512 19489409500522 20988594846716 22364896148140 23986965539104 25559881312160 26235743558395 27526026028480 29983706923880 35783833837024 38978819001044 41977189693432 44729792296280 47973931078208 48723523751305 51119762624320 52471487116790 59967413847760 68212933251827 71567667674048 77957638002088 83954379386864 89459584592560 97447047502610 104942974233580 119934827695520 136425866503654 155915276004176 167908758773728 178919169185120 194894095005220 209885948467160 239869655391040 272851733007308 311830552008352 335817517547456 341064666259135 357838338370240 389788190010440 419771896934320 545703466014616 623661104016704 682129332518270 779576380020880 839543793868640 1091406932029232 1364258665036540 1559152760041760 1679087587737280 2182813864058464 2728517330073080 3118305520083520 4365627728116928 5457034660146160 10914069320292320 21828138640584640
• Sum of all divisors σ(n): 65024863087903488
• Sum of proper divisors (its aliquot sum) s(n): 43196724447318848
• 21828138640584640 is an abundant number, because the sum of its proper divisors (43196724447318848) is greater than itself. Its abundance is 21368585806734208

Bases of 21828138640584640

• Binary: 1001101100011001001001110010001110001111010111111000000₂
• Hexadecimal: 0x4D8C9391C7AFC0
• Base-36: 5YXFGGGRKCG

Squares and roots of 21828138640584640

• 21828138640584640 squared (21828138640584640²) is 476467636512584255549321003929600
• 21828138640584640 cubed (21828138640584640³) is 10400401627548377273822485490803648631481401344000
• The square root of 21828138640584640 is 147743489.3339961699
• The cube root of 21828138640584640 is 279472.3849926881

Scales and comparisons

• 21,828,138,640,584,640 seconds is equal to 694,067,289 years, 47 weeks, 6 hours, 50 minutes, 40 seconds.
• To count from 1 to 21,828,138,640,584,640 would take you about two billion, eighty-two million, two hundred one thousand, eight hundred sixty-nine 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 21828138640584640 cubic inches would be around 23289.4 feet tall.

Recreational maths with 21828138640584640

• 21828138640584640 backwards is 04648504683182812
• 21828138640584640 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21828138640584640's digits is 70
• More coming soon!