21831833847617040
21,831,833,847,617,040 is an even composite number composed of seven prime numbers multiplied together.
21831833847617040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 21831833847617040:
24 × 3 × 5 × 13 × 31 × 193 × 1169544149
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 31 × 193 × 1169544149)See below for interesting mathematical facts about the number 21831833847617040 from the Numbermatics database.
Names of 21831833847617040
- Cardinal: 21831833847617040 can be written as Twenty-one quadrillion, eight hundred thirty-one trillion, eight hundred thirty-three billion, eight hundred forty-seven million, six hundred seventeen thousand and forty.
Scientific notation
- Scientific notation: 2.183183384761704 × 1016
Factors of 21831833847617040
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1169544396
Divisors of 21831833847617040
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 193 195 208 240 248 260 310 312 372 386 390 403 465 496 520 579 620 624 744 772 780 806 930 965 1040 1158 1209 1240 1488 1544 1560 1612 1860 1930 2015 2316 2418 2480 2509 2895 3088 3120 3224 3720 3860 4030 4632 4836 5018 5790 5983 6045 6448 7440 7527 7720 8060 9264 9672 10036 11580 11966 12090 12545 15054 15440 16120 17949 19344 20072 23160 23932 24180 25090 29915 30108 32240 35898 37635 40144 46320 47864 48360 50180 59830 60216 71796 75270 77779 89745 95728 96720 100360 119660 120432 143592 150540 155558 179490 200720 233337 239320 287184 301080 311116 358980 388895 466674 478640 602160 622232 717960 777790 933348 1166685 1244464 1435920 1555580 1866696 2333370 3111160 3733392 4666740 6222320 9333480 18666960 1169544149 2339088298 3508632447 4678176596 5847720745 7017264894 9356353192 11695441490 14034529788 15204073937 17543162235 18712706384 23390882980 28069059576 30408147874 35086324470 36255868619 45612221811 46781765960 56138119152 60816295748 70172648940 72511737238 76020369685 91224443622 93563531920 108767605857 121632591496 140345297880 145023474476 152040739370 181279343095 182448887244 217535211714 225722020757 228061109055 243265182992 280690595760 290046948952 304081478740 362558686190 364897774488 435070423428 451444041514 456122218110 471326292047 543838029285 580093897904 608162957480 677166062271 725117372380 729795548976 870140846856 902888083028 912244436220 942652584094 1087676058570 1128610103785 1216325914960 1354332124542 1413978876141 1450234744760 1740281693712 1805776166056 1824488872440 1885305168188 2175352117140 2257220207570 2356631460235 2708664249084 2827957752282 2900469489520 2934386269841 3385830311355 3611552332112 3648977744880 3770610336376 4350704234280 4514440415140 4713262920470 5417328498168 5655915504564 5868772539682 6771660622710 6997382643467 7069894380705 7541220672752 8701408468560 8803158809523 9028880830280 9426525840940 10834656996336 11311831009128 11737545079364 13543321245420 13994765286934 14139788761410 14671931349205 17606317619046 18057761660560 18853051681880 20992147930401 22623662018256 23475090158728 27086642490840 27989530573868 28279577522820 29343862698410 34986913217335 35212635238092 37706103363760 41984295860802 44015794047615 46950180317456 54173284981680 55979061147736 56559155045640 58687725396820 69973826434670 70425270476184 83968591721604 88031588095230 90965974365071 104960739652005 111958122295472 113118310091280 117375450793640 139947652869340 140850540952368 167937183443208 176063176190460 181931948730142 209921479304010 234750901587280 272897923095213 279895305738680 335874366886416 352126352380920 363863897460284 419842958608020 454829871825355 545795846190426 559790611477360 704252704761840 727727794920568 839685917216040 909659743650710 1091591692380852 1364489615476065 1455455589841136 1679371834432080 1819319487301420 2183183384761704 2728979230952130 3638638974602840 4366366769523408 5457958461904260 7277277949205680 10915916923808520 21831833847617040
- Sum of all divisors σ(n): 75625681346611200
- Sum of proper divisors (its aliquot sum) s(n): 53793847498994160
- 21831833847617040 is an abundant number, because the sum of its proper divisors (53793847498994160) is greater than itself. Its abundance is 31962013651377120
Bases of 21831833847617040
- Binary: 10011011000111111101111111011010100100001010110000100002
- Hexadecimal: 0x4D8FEFED485610
- Base-36: 5YYQM0FMIHC
Squares and roots of 21831833847617040
- 21831833847617040 squared (218318338476170402) is 476628969149957048923286498361600
- 21831833847617040 cubed (218318338476170403) is 10405684461442850258403930578876513626024241664000
-
The
square root of 21831833847617040 is 147755994.2865839875 -
The
cube root of 21831833847617040 is 279488.1543942907
Scales and comparisons
How big is 21831833847617040?- 21,831,833,847,617,040 seconds is equal to 694,184,786 years, 3 weeks, 4 hours, 44 minutes.
-
To count from 1 to 21,831,833,847,617,040 would take you about two billion, eighty-two million, five hundred fifty-four thousand, three hundred fifty-eight 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 21831833847617040 cubic inches would be around 23290.7 feet tall.
Recreational maths with 21831833847617040
- 21831833847617040 backwards is 04071674833813812
- The number of decimal digits it has is: 17
- The sum of 21831833847617040's digits is 66
- More coming soon!
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