21380056310400
21,380,056,310,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21380056310400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
21380056310400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 21380056310400:
27 × 3 × 52 × 172 × 19 × 612 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 19 × 61 × 61 × 109)See below for interesting mathematical facts about the number 21380056310400 from the Numbermatics database.
Names of 21380056310400
- Cardinal: 21380056310400 can be written as Twenty-one trillion, three hundred eighty billion, fifty-six million, three hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 2.13800563104 × 1013
Factors of 21380056310400
Divisors of 21380056310400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 61 64 68 75 76 80 85 95 96 100 102 109 114 120 122 128 136 150 152 160 170 183 190 192 200 204 218 228 240 244 255 272 285 289 300 304 305 320 323 327 340 366 380 384 400 408 425 436 456 475 480 488 510 544 545 570 578 600 608 610 640 646 654 680 732 760 800 816 850 867 872 912 915 950 960 969 976 1020 1037 1088 1090 1140 1156 1159 1200 1216 1220 1275 1292 1308 1360 1425 1445 1464 1520 1525 1600 1615 1632 1635 1700 1734 1744 1824 1830 1853 1900 1920 1938 1952 2040 2071 2074 2176 2180 2280 2312 2318 2400 2432 2440 2550 2584 2616 2720 2725 2850 2890 2928 3040 3050 3111 3200 3230 3264 3270 3400 3468 3477 3488 3648 3660 3706 3721 3800 3876 3904 4080 4142 4148 4335 4360 4560 4575 4624 4636 4800 4845 4880 5100 5168 5185 5232 5440 5450 5491 5559 5700 5780 5795 5856 6080 6100 6213 6222 6460 6528 6540 6649 6800 6936 6954 6976 7225 7296 7320 7412 7442 7600 7752 7808 8075 8160 8175 8284 8296 8670 8720 9120 9150 9248 9265 9272 9600 9690 9760 10200 10336 10355 10370 10464 10880 10900 10982 11118 11163 11400 11560 11590 11712 12160 12200 12426 12444 12920 13080 13298 13600 13872 13908 13952 14450 14640 14824 14884 15200 15504 15555 16150 16320 16350 16473 16568 16592 17340 17385 17440 17629 18240 18300 18496 18530 18544 18605 19380 19520 19703 19947 20400 20672 20710 20740 20928 21675 21800 21964 22236 22326 22800 23120 23180 23424 24225 24400 24852 24888 25840 25925 26160 26596 27200 27455 27744 27795 27816 28900 28975 29280 29648 29768 30400 31008 31065 31110 31501 32300 32640 32700 32946 33136 33184 33245 34680 34770 34880 35207 35258 36480 36600 36992 37060 37088 37210 38760 39040 39406 39894 40800 41344 41420 41480 41856 43350 43600 43928 44472 44652 45600 46240 46325 46360 48450 48800 49704 49776 51680 51775 51850 52320 52887 53192 54400 54910 55488 55590 55632 55815 57800 57950 58560 59109 59296 59536 60800 62016 62130 62220 63002 63257 64600 65400 65892 66272 66368 66490 69360 69540 69760 70414 70516 70699 73200 74120 74176 74420 77520 77775 78812 79788 81600 82365 82840 82960 86700 86925 87200 87856 88145 88944 89304 91200 92480 92650 92720 93025 94503 96900 97600 98515 99408 99552 99735 103360 103550 103700 104640 105621 105774 106384 109820 110976 111180 111264 111630 113033 115600 115900 117120 118218 118592 119072 124032 124260 124440 126004 126331 126514 129200 130800 131784 132544 132736 132980 137275 138720 138975 139080 140828 141032 141398 146400 148240 148352 148840 155040 155325 155550 157505 157624 159576 163200 164730 165680 165920 166225 173400 173850 174400 175712 176035 176290 177888 178608 182400 184960 185300 185440 186050 189006 189771 193800 195200 197030 198816 199104 199470 206720 207100 207400 209280 211242 211548 212097 212768 219640 222360 222528 223260 226066 231200 231800 236436 237184 238144 248520 248880 252008 252662 253028 258400 261600 263568 264435 265088 265960 274550 277440 277950 278160 279075 281656 282064 282796 292800 295545 296480 297680 310080 310650 311100 315010 315248 316285 319152 329460 331360 331840 332450 334951 339099 346800 347700 348800 351424 352070 352580 353495 355776 357216 370600 370880 372100 378012 378993 379542 387600 394060 397632 398208 398940 405589 411825 414200 414800 422484 423096 424194 425536 439280 440725 444720 445056 446520 452132 462400 463600 472515 472872 476288 492575 497040 497760 498675 504016 505324 506056 516800 523200 527136 528105 528870 531920 549100 554880 555900 556320 558150 563312 564128 565165 565592 585600 591090 592960 595360 598519 620160 621300 622200 630020 630496 631655 632570 638304 658920 662720 663680 664900 669902 678198 693600 695400 702848 704140 705160 706990 711552 714432 741200 741760 744200 756024 757986 759084 775200 787525 788120 795264 797880 811178 823650 828400 829600 844968 846192 848388 851072 878560 880175 881450 889440 893040 904264 924800 927200 945030 945744 948855 985150 994080 995520 997350 1004853 1008032 1010648 1012112 1033600 1046400 1054272 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412941696 413700780 429525400 430147600 438115908 441280832 461174640 461523072 462371460 468860884 478815200 480753200 486706800 490368264 493196224 510800275 515430480 516177120 517125975 524020988 535921600 542558400 547644885 551601040 574578240 576468300 576903840 577964325 584154544 586076105 606388800 607267200 612960330 614899520 616495280 643105920 644288100 645221400 648942400 653824352 655026235 661921248 678710400 687240640 688236160 689501300 703291326 718222800 721129800 730193180 737879424 739794336 768624400 769205120 770619100 778730880 786031482 803882400 817280440 824688768 827401560 859050800 860295200 876231816 882561664 912741475 922349280 924742920 937721768 957630400 961506400 973413600 980736528 986392448 1021600550 1030860960 1032354240 1034251950 1048041976 1071843200 1085116800 1095289770 1103202080 1149156480 1152936600 1153807680 1155928650 1168309088 1172152210 1212777600 1225920660 1229799040 1232990560 1288576200 1290442800 1297884800 1307648704 1310052470 1323842496 1374481280 1379002600 1406582652 1436445600 1442259600 1460386360 1479588672 1532400825 1537248800 1541238200 1572062964 1607764800 1634560880 1654803120 1718101600 1720590400 1752463632 1758228315 1825482950 1844698560 1849485840 1875443536 1915260800 1923012800 1946827200 1961473056 1965078705 2043201100 2061721920 2064708480 2068503900 2096083952 2190579540 2206404160 2227089199 2305873200 2307615360 2311857300 2336618176 2344304420 2451841320 2465981120 2577152400 2580885600 2615297408 2620104940 2647684992 2738224425 2758005200 2813165304 2872891200 2884519200 2920772720 2930380525 2959177344 3064801650 3074497600 3082476400 3144125928 3215529600 3269121760 3275131175 3309606240 3436203200 3441180800 3504927264 3516456630 3650965900 3689397120 3698971680 3750887072 3846025600 3893654400 3922946112 3930157410 4086402200 4123443840 4137007800 4192167904 4381159080 4412808320 4454178398 4611746400 4623714600 4673236352 4688608840 4903682640 4931962240 5154304800 5161771200 5240209880 5476448850 5516010400 5626330608 5745782400 5769038400 5841545440 5860761050 6129603300 6148995200 6164952800 6288251856 6538243520 6550262350 6619212480 6681267597 6872406400 7009854528 7032913260 7301931800 7397943360 7501774144 7845892224 7860314820 8172804400 8274015600 8384335808 8762318160 8791141575 8908356796 9223492800 9247429200 9377217680 9807365280 9825393525 10308609600 10323542400 10480419760 10952897700 11032020800 11135445995 11252661216 11538076800 11683090880 11721522100 12259206600 12329905600 12576503712 13076487040 13100524700 13238424960 13362535194 14019709056 14065826520 14603863600 14795886720 15003548288 15720629640 16345608800 16548031200 16768671616 17524636320 17582283150 17816713592 18446985600 18494858400 18754435360 19614730560 19650787050 20617219200 20960839520 21905795400 22064041600 22270891990 22505322432 23366181760 23443044200 24518413200 24659811200 25153007424 26201049400 26725070388 28131653040 29207727200 31441259280 32691217600 33096062400 33406337985 35049272640 35164566300 35633427184 36989716800 37508870720 39229461120 39301574100 41921679040 43811590800 44541783980 45010644864 46886088400 49036826400 50306014848 52402098800 53450140776 55677229975 56263306080 58415454400 62882518560 65382435200 66192124800 66812675970 70098545280 70329132600 71266854368 73979433600 75017741440 78603148200 83843358080 87623181600 89083567960 93772176800 98073652800 104804197600 106900281552 111354459950 112526612160 116830908800 125765037120 133625351940 140658265200 142533708736 157206296400 167031689925 175246363200 178167135920 187544353600 196147305600 209608395200 213800563104 222708919900 225053224320 251530074240 267250703880 281316530400 285067417472 314412592800 334063379850 350492726400 356334271840 375088707200 419216790400 427601126208 445417839800 534501407760 562633060800 628825185600 668126759700 712668543680 855202252416 890835679600 1069002815520 1125266121600 1257650371200 1336253519400 1425337087360 1781671359200 2138005631040 2672507038800 3563342718400 4276011262080 5345014077600 7126685436800 10690028155200 21380056310400
- Sum of all divisors σ(n): 80790307884000
- Sum of proper divisors (its aliquot sum) s(n): 59410251573600
- 21380056310400 is an abundant number, because the sum of its proper divisors (59410251573600) is greater than itself. Its abundance is 38030195263200
Bases of 21380056310400
- Binary: 1001101110001111011101010100101100010100000002
- Hexadecimal: 0x1371EEA96280
- Base-36: 7KTV1IDMO
Squares and roots of 21380056310400
- 21380056310400 squared (213800563104002) is 457106807835874861148160000
- 21380056310400 cubed (213800563104003) is 9772969291398196492595441997348864000000
-
The
square root of 21380056310400 is 4623857.2977980191 -
The
cube root of 21380056310400 is 27754.6836497371
Scales and comparisons
How big is 21380056310400?- 21,380,056,310,400 seconds is equal to 679,819 years, 34 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 21,380,056,310,400 would take you about one million, six hundred ninety-nine thousand, five hundred forty-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 21380056310400 cubic inches would be around 2312.9 feet tall.
Recreational maths with 21380056310400
- 21380056310400 backwards is 00401365008312
- The number of decimal digits it has is: 14
- The sum of 21380056310400's digits is 33
- More coming soon!
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"Number 21380056310400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 21380056310400 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/21380056310400/
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The information we have on file for 21380056310400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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