21348835872000
21,348,835,872,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21348835872000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
21348835872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 21348835872000:
28 × 3 × 53 × 73 × 13 × 53 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 53 × 941)See below for interesting mathematical facts about the number 21348835872000 from the Numbermatics database.
Names of 21348835872000
- Cardinal: 21348835872000 can be written as Twenty-one trillion, three hundred forty-eight billion, eight hundred thirty-five million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 2.1348835872 × 1013
Factors of 21348835872000
Divisors of 21348835872000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 53 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 106 112 120 125 128 130 140 147 150 156 159 160 168 175 182 192 195 196 200 208 210 212 224 240 245 250 256 260 265 273 280 294 300 312 318 320 325 336 343 350 364 371 375 384 390 392 400 416 420 424 448 455 480 490 500 520 525 530 546 560 588 600 624 636 637 640 650 672 686 689 700 728 735 742 750 768 780 784 795 800 832 840 848 875 896 910 941 960 975 980 1000 1029 1040 1050 1060 1092 1113 1120 1176 1200 1225 1248 1272 1274 1280 1300 1325 1344 1365 1372 1378 1400 1456 1470 1484 1500 1560 1568 1590 1600 1625 1664 1680 1696 1715 1750 1792 1820 1855 1882 1911 1920 1950 1960 2000 2058 2067 2080 2100 2120 2184 2226 2240 2275 2352 2400 2450 2496 2544 2548 2597 2600 2625 2650 2688 2730 2744 2756 2800 2823 2912 2940 2968 3000 3120 3136 3180 3185 3200 3250 3328 3360 3392 3430 3445 3500 3640 3675 3710 3764 3822 3840 3900 3920 3975 4000 4116 4134 4160 4200 4240 4368 4452 4459 4480 4550 4704 4705 4800 4823 4875 4900 4992 5088 5096 5145 5194 5200 5250 5300 5376 5460 5488 5512 5565 5600 5646 5824 5880 5936 6000 6125 6240 6272 6360 6370 6400 6500 6587 6625 6720 6784 6825 6860 6890 7000 7280 7350 7420 7528 7644 7791 7800 7840 7950 8000 8232 8268 8320 8400 8480 8575 8736 8904 8918 8960 9100 9275 9408 9410 9555 9600 9646 9750 9800 9984 10176 10192 10290 10335 10388 10400 10500 10600 10920 10976 11024 11130 11200 11292 11375 11648 11760 11872 12000 12233 12250 12480 12544 12720 12740 12985 13000 13174 13250 13377 13440 13568 13650 13720 13780 14000 14115 14469 14560 14700 14840 15056 15288 15582 15600 15680 15900 15925 16000 16464 16536 16640 16800 16960 17150 17225 17472 17808 17836 18179 18200 18375 18550 18816 18820 19110 19200 19292 19500 19600 19761 19875 20352 20384 20580 20670 20776 20800 21000 21200 21840 21952 22048 22260 22295 22400 22584 22750 23296 23520 23525 23744 24000 24115 24466 24500 24960 25440 25480 25725 25970 26000 26348 26500 26754 26880 27300 27440 27560 27825 28000 28230 28938 29120 29400 29680 30112 30576 31164 31200 31360 31800 31850 32000 32928 32935 33072 33600 33761 33920 34125 34300 34450 34944 35616 35672 36358 36400 36699 36750 37100 37632 37640 38220 38584 38955 39000 39200 39522 39750 40704 40768 41160 41340 41552 41600 42000 42400 42875 43680 43904 44096 44520 44590 44800 45168 45500 46109 46375 47040 47050 47488 47775 48000 48230 48932 49000 49873 49920 50880 50960 51450 51675 51940 52000 52696 53000 53508 54537 54600 54880 55120 55650 56000 56460 57876 58240 58800 59360 60224 61152 61165 62328 62400 62720 63600 63700 64925 65856 65870 66144 66885 67200 67522 67840 68250 68600 68900 69888 70575 71232 71344 72345 72716 72800 73398 73500 74200 75280 76440 77168 77910 78000 78400 79044 79500 79625 81536 82320 82680 83104 83200 84000 84800 85631 85750 86125 87360 87808 88192 89040 89180 90336 90895 91000 92218 92750 94080 94100 94976 95550 96000 96460 97864 98000 98805 99746 101283 101760 101920 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290864 291200 293592 294000 296800 299238 301120 305760 305825 308672 311640 312000 313600 316176 318000 318500 322763 324625 329280 329350 330720 332416 334425 336000 337610 339200 342524 343000 344500 349111 349440 352875 356160 356720 361344 361725 363580 364000 366990 368872 371000 376400 382200 385840 389550 391456 392000 395220 398984 405132 407680 411600 413400 415520 416000 421568 424000 428064 428155 436296 436800 439040 440960 445200 445900 451680 454475 461090 463008 470400 470500 472654 474880 477750 482300 489216 489320 494025 498624 498730 506415 508800 509600 513786 514500 516750 519400 526960 529152 535080 540176 545370 546000 548800 551200 553308 556500 557375 564600 570752 578760 581728 582400 587184 588000 593600 598476 599417 602240 602875 611520 611650 617344 623280 624000 632352 636000 637000 645526 648349 649250 658560 658700 661440 664832 668850 672000 675220 685048 686000 689000 691635 698222 705750 708981 712320 713440 722688 723450 727160 728000 733980 737744 742000 748095 752800 764400 771680 779100 782912 784000 790440 797968 810264 815360 823200 823375 826800 831040 843136 844025 848000 856128 856310 872592 873600 881920 890400 891800 903360 908950 917475 922180 926016 940800 941000 945308 955500 964600 968289 973875 978640 988050 997248 997460 1012830 1017600 1019200 1027572 1029000 1033500 1038800 1047333 1053920 1070160 1080352 1090740 1092000 1097600 1102400 1106616 1113000 1114750 1129200 1141504 1152725 1157520 1163456 1174368 1176000 1181635 1187200 1196952 1198834 1204480 1205750 1223040 1223300 1234688 1246560 1246825 1248000 1264704 1272000 1274000 1284465 1291052 1296698 1298500 1317120 1317400 1322880 1337700 1350440 1363425 1370096 1372000 1378000 1383270 1396444 1411500 1417962 1424640 1426880 1446900 1454320 1456000 1467960 1475488 1484000 1496190 1505600 1528800 1529125 1543360 1558200 1565824 1568000 1580880 1595936 1613815 1620528 1646400 1646750 1653600 1662080 1672125 1686272 1688050 1696000 1712256 1712620 1745184 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18153772000 19061460600 19181344000 19550216000 20140411200 20332224640 20527726800 20747168000 21348835872 21784526400 21896241920 22238370700 22687392000 23460259200 23826825750 24398669568 25175514000 25415280800 25659658500 26686044840 26853881600 27230658000 27370302400 27797963375 28465114496 28772016000 29046035200 29325324000 30498336960 30985248000 31120752000 31769101000 32844362880 33357556050 33514656000 33567352000 34212878000 35581393120 36307544000 38122921200 39100432000 40280822400 40664449280 41055453600 42697671744 43569052800 44476741400 46920518400 47653651500 50351028000 50830561600 51319317000 53372089680 54461316000 54740604800 55595926750 56930228992 57544032000 58650648000 60996673920 62241504000 63538202000 65688725760 66715112100 67134704000 68425756000 71162786240 72615088000 76245842400 78200864000 80561644800 82110907200 83393890125 85395343488 87138105600 88953482800 95307303000 100702056000 101661123200 102638634000 106744179360 108922632000 109481209600 111191853500 117301296000 121993347840 127076404000 133430224200 134269408000 136851512000 142325572480 145230176000 152491684800 164221814400 166787780250 170790686976 177906965600 190614606000 201404112000 203322246400 205277268000 213488358720 217845264000 222383707000 234602592000 254152808000 266860448400 273703024000 284651144960 304983369600 328443628800 333575560500 355813931200 381229212000 402808224000 410554536000 426976717440 435690528000 444767414000 508305616000 533720896800 547406048000 609966739200 667151121000 711627862400 762458424000 821109072000 853953434880 889534828000 1016611232000 1067441793600 1334302242000 1423255724800 1524916848000 1642218144000 1779069656000 2134883587200 2668604484000 3049833696000 3558139312000 4269767174400 5337208968000 7116278624000 10674417936000 21348835872000
- Sum of all divisors σ(n): 90831854131200
- Sum of proper divisors (its aliquot sum) s(n): 69483018259200
- 21348835872000 is an abundant number, because the sum of its proper divisors (69483018259200) is greater than itself. Its abundance is 48134182387200
Bases of 21348835872000
- Binary: 1001101101010101010011100011101001101000000002
- Hexadecimal: 0x136AA9C74D00
- Base-36: 7KFIPO16O
Squares and roots of 21348835872000
- 21348835872000 squared (213488358720002) is 455772793089594000384000000
- 21348835872000 cubed (213488358720003) is 9730218554592758105313920974848000000000
-
The
square root of 21348835872000 is 4620480.0477872427 -
The
cube root of 21348835872000 is 27741.1673848693
Scales and comparisons
How big is 21348835872000?- 21,348,835,872,000 seconds is equal to 678,826 years, 49 weeks, 18 hours, 40 minutes.
-
To count from 1 to 21,348,835,872,000 would take you about one million, six hundred ninety-seven thousand and sixty-seven 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 21348835872000 cubic inches would be around 2311.8 feet tall.
Recreational maths with 21348835872000
- 21348835872000 backwards is 00027853884312
- The number of decimal digits it has is: 14
- The sum of 21348835872000's digits is 51
- More coming soon!
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"Number 21348835872000 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 21348835872000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/21348835872000/
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Numbermatics. 2024. "Number 21348835872000 - Facts about the integer". https://numbermatics.com/n/21348835872000/
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