21513958144000
21,513,958,144,000 is an even composite number composed of five prime numbers multiplied together.
21513958144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 21513958144000:
211 × 53 × 7 × 433 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 43 × 43 × 43 × 151)See below for interesting mathematical facts about the number 21513958144000 from the Numbermatics database.
Names of 21513958144000
- Cardinal: 21513958144000 can be written as Twenty-one trillion, five hundred thirteen billion, nine hundred fifty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 2.1513958144 × 1013
Factors of 21513958144000
Divisors of 21513958144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 43 50 56 64 70 80 86 100 112 125 128 140 151 160 172 175 200 215 224 250 256 280 301 302 320 344 350 400 430 448 500 512 560 602 604 640 688 700 755 800 860 875 896 1000 1024 1057 1075 1120 1204 1208 1280 1376 1400 1505 1510 1600 1720 1750 1792 1849 2000 2048 2114 2150 2240 2408 2416 2560 2752 2800 3010 3020 3200 3440 3500 3584 3698 3775 4000 4228 4300 4480 4816 4832 5120 5285 5375 5504 5600 6020 6040 6400 6493 6880 7000 7168 7396 7525 7550 8000 8456 8600 8960 9245 9632 9664 10240 10570 10750 11008 11200 12040 12080 12800 12943 12986 13760 14000 14336 14792 15050 15100 16000 16912 17200 17920 18490 18875 19264 19328 21140 21500 22016 22400 24080 24160 25600 25886 25972 26425 27520 28000 29584 30100 30200 32000 32465 33824 34400 35840 36980 37625 37750 38528 38656 42280 43000 44032 44800 45451 46225 48160 48320 51200 51772 51944 52850 55040 56000 59168 60200 60400 64000 64715 64930 67648 68800 71680 73960 75250 75500 77056 77312 79507 84560 86000 88064 89600 90902 92450 96320 96640 103544 103888 105700 110080 112000 118336 120400 120800 128000 129430 129860 132125 135296 137600 147920 150500 151000 154112 154624 159014 162325 169120 172000 179200 181804 184900 192640 193280 207088 207776 211400 220160 224000 227255 231125 236672 240800 241600 256000 258860 259720 264250 270592 275200 279199 295840 301000 302000 308224 309248 318028 323575 324650 338240 344000 358400 363608 369800 385280 386560 397535 414176 415552 422800 440320 448000 454510 462250 473344 481600 483200 517720 519440 528500 541184 550400 556549 558398 591680 602000 604000 616448 636056 647150 649300 676480 688000 727216 739600 770560 773120 795070 811625 828352 831104 845600 896000 909020 924500 946688 963200 966400 1035440 1038880 1057000 1082368 1100800 1113098 1116796 1136275 1183360 1204000 1208000 1272112 1294300 1298600 1352960 1376000 1395995 1454432 1479200 1541120 1546240 1590140 1617875 1623250 1656704 1662208 1691200 1792000 1818040 1849000 1893376 1926400 1932800 1954393 1987675 2070880 2077760 2114000 2164736 2201600 2226196 2233592 2272550 2366720 2408000 2416000 2544224 2588600 2597200 2705920 2752000 2782745 2791990 2908864 2958400 3082240 3180280 3235750 3246500 3313408 3324416 3382400 3636080 3698000 3786752 3852800 3865600 3908786 3975350 4141760 4155520 4228000 4452392 4467184 4545100 4733440 4816000 4832000 5088448 5177200 5194400 5411840 5504000 5565490 5583980 5681375 5817728 5916800 6360560 6471500 6493000 6626816 6648832 6764800 6979975 7272160 7396000 7705600 7731200 7817572 7950700 8283520 8311040 8456000 8904784 8934368 9090200 9466880 9632000 9664000 9771965 9938375 10176896 10354400 10388800 10823680 11008000 11130980 11167960 11362750 11635456 11833600 12005557 12721120 12943000 12986000 13253632 13297664 13529600 13913725 13959950 14544320 14792000 15411200 15635144 15901400 16567040 16622080 16912000 17809568 17868736 18180400 18933760 19264000 19328000 19543930 19876750 20353792 20708800 20777600 22261960 22335920 22725500 23270912 23667200 24011114 25442240 25886000 25972000 26507264 27059200 27827450 27919900 29088640 29584000 31270288 31802800 33134080 33244160 33824000 34899875 35619136 35737472 36360800 38528000 38656000 39087860 39753500 40707584 41417600 41555200 44523920 44671840 45451000 46541824 47334400 48022228 48859825 50884480 51772000 51944000 54118400 55654900 55839800 58177280 59168000 60027785 62540576 63605600 66268160 66488320 67648000 69568625 69799750 71238272 71474944 72721600 77056000 78175720 79507000 81415168 82835200 83110400 84038899 89047840 89343680 90902000 93083648 94668800 96044456 97719650 101768960 103544000 103888000 111309800 111679600 116354560 118336000 120055570 125081152 127211200 132536320 135296000 139137250 139599500 142476544 142949888 145443200 156351440 159014000 162830336 165670400 166220800 168077798 178095680 178687360 181804000 192088912 195439300 203537920 207088000 207776000 222619600 223359200 232709120 236672000 240111140 244299125 250162304 254422400 270592000 278274500 279199000 284953088 285899776 290886400 300138925 312702880 318028000 331340800 332441600 336155596 356191360 357374720 363608000 384177824 390878600 407075840 414176000 415552000 420194495 445239200 446718400 465418240 473344000 480222280 488598250 500324608 508844800 556549000 558398000 569906176 571799552 581772800 600277850 625405760 636056000 662681600 672311192 712382720 714749440 727216000 768355648 781757200 814151680 828352000 831104000 840388990 890478400 893436800 960444560 977196500 1000649216 1017689600 1113098000 1116796000 1139812352 1163545600 1200555700 1250811520 1272112000 1344622384 1424765440 1429498880 1454432000 1500694625 1536711296 1563514400 1656704000 1662208000 1680777980 1780956800 1786873600 1920889120 1954393000 2001298432 2035379200 2100972475 2226196000 2233592000 2327091200 2401111400 2501623040 2544224000 2689244768 2849530880 2858997760 2908864000 3001389250 3073422592 3127028800 3313408000 3361555960 3561913600 3573747200 3841778240 3908786000 4002596864 4070758400 4201944950 4452392000 4467184000 4802222800 5003246080 5088448000 5378489536 5699061760 5817728000 6002778500 6146845184 6254057600 6723111920 7123827200 7147494400 7683556480 7817572000 8403889900 8904784000 8934368000 9604445600 10006492160 10176896000 10504862375 10756979072 11635456000 12005557000 12293690368 12508115200 13446223840 14247654400 14294988800 15367112960 15635144000 16807779800 17809568000 17868736000 19208891200 20012984320 20353792000 21009724750 21513958144 24011114000 24587380736 25016230400 26892447680 28495308800 30734225920 31270288000 33615559600 35619136000 35737472000 38417782400 42019449500 43027916288 48022228000 50032460800 53784895360 61468451840 62540576000 67231119200 71238272000 71474944000 76835564800 84038899000 86055832576 96044456000 100064921600 107569790720 122936903680 125081152000 134462238400 142476544000 153671129600 168077798000 172111665152 192088912000 215139581440 250162304000 268924476800 307342259200 336155596000 384177824000 430279162880 500324608000 537848953600 614684518400 672311192000 768355648000 860558325760 1075697907200 1344622384000 1536711296000 2151395814400 2689244768000 3073422592000 4302791628800 5378489536000 10756979072000 21513958144000
- Sum of all divisors σ(n): 63231936768000
- Sum of proper divisors (its aliquot sum) s(n): 41717978624000
- 21513958144000 is an abundant number, because the sum of its proper divisors (41717978624000) is greater than itself. Its abundance is 20204020480000
Bases of 21513958144000
- Binary: 1001110010001000110111101010100111000000000002
- Hexadecimal: 0x13911BD53800
- Base-36: 7MJDJ7DOG
Squares and roots of 21513958144000
- 21513958144000 squared (215139581440002) is 462850395021783924736000000
- 21513958144000 cubed (215139581440003) is 9957744025432525324982350249984000000000
-
The
square root of 21513958144000 is 4638314.1489122963 -
The
cube root of 21513958144000 is 27812.5050033471
Scales and comparisons
How big is 21513958144000?- 21,513,958,144,000 seconds is equal to 684,077 years, 16 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 21,513,958,144,000 would take you about one million, seven hundred ten thousand, one hundred ninety-three 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 21513958144000 cubic inches would be around 2317.7 feet tall.
Recreational maths with 21513958144000
- 21513958144000 backwards is 00044185931512
- 21513958144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21513958144000's digits is 43
- More coming soon!
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