13980466438400
13,980,466,438,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13980466438400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
13980466438400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13980466438400:
28 × 52 × 72 × 11 × 292 × 61 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 29 × 29 × 61 × 79)See below for interesting mathematical facts about the number 13980466438400 from the Numbermatics database.
Names of 13980466438400
- Cardinal: 13980466438400 can be written as Thirteen trillion, nine hundred eighty billion, four hundred sixty-six million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.39804664384 × 1013
Factors of 13980466438400
Divisors of 13980466438400
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 32 35 40 44 49 50 55 56 58 61 64 70 77 79 80 88 98 100 110 112 116 122 128 140 145 154 158 160 175 176 196 200 203 220 224 232 244 245 256 275 280 290 305 308 316 319 320 350 352 385 392 395 400 406 427 440 448 464 488 490 539 550 553 560 580 610 616 632 638 640 671 700 704 725 770 784 790 800 812 841 854 869 880 896 928 976 980 1015 1078 1100 1106 1120 1160 1220 1225 1232 1264 1276 1280 1342 1400 1408 1421 1450 1525 1540 1568 1580 1595 1600 1624 1682 1708 1738 1760 1769 1792 1856 1925 1952 1960 1975 2030 2135 2156 2200 2212 2233 2240 2291 2320 2440 2450 2464 2528 2552 2684 2695 2765 2800 2816 2842 2900 2989 3050 3080 3136 3160 3190 3200 3248 3355 3364 3416 3476 3520 3538 3712 3850 3871 3904 3920 3950 4060 4205 4270 4312 4345 4400 4424 4466 4480 4582 4640 4697 4819 4880 4900 4928 5056 5075 5104 5368 5390 5530 5600 5684 5800 5887 5978 6083 6100 6160 6272 6320 6380 6400 6496 6710 6728 6832 6952 7040 7076 7105 7424 7700 7742 7808 7840 7900 7975 8120 8410 8540 8624 8690 8800 8845 8848 8932 8960 9164 9251 9280 9394 9638 9760 9800 9856 10112 10150 10208 10675 10736 10780 11060 11165 11200 11368 11455 11600 11774 11956 12166 12200 12320 12383 12544 12640 12760 12992 13420 13456 13475 13664 13825 13904 14080 14152 14210 14945 15400 15484 15616 15631 15680 15800 15950 16037 16240 16775 16820 17080 17248 17380 17600 17690 17696 17864 18328 18502 18560 18788 19276 19355 19459 19520 19600 19712 20224 20300 20416 21025 21350 21472 21560 21725 22120 22330 22400 22736 22910 23200 23485 23548 23912 24095 24332 24400 24640 24766 25201 25280 25520 25984 26840 26912 26950 27328 27650 27808 28304 28420 29435 29890 30415 30800 30968 31262 31360 31600 31900 32074 32480 32879 33550 33640 33733 34160 34496 34760 35200 35380 35392 35525 35728 36656 37004 37120 37576 38552 38710 38918 39040 39200 40600 40832 41209 42050 42581 42700 42944 43120 43450 44225 44240 44660 44800 45472 45820 46255 46400 46970 47096 47824 48190 48664 48800 49280 49532 50402 50560 51040 51301 51968 53009 53680 53824 53900 54656 55300 55616 55825 56608 56840 57275 58870 59780 60830 61600 61915 61936 62524 62720 63200 63800 64148 64757 64960 65758 66439 67100 67280 67466 68320 68992 69520 70400 70760 70784 71050 71456 73312 74008 74725 75152 77104 77420 77836 78080 78155 78400 80185 81200 81664 82418 84100 85162 85400 85888 86240 86681 86900 88450 88480 89320 90944 91640 92510 92800 93940 94192 95648 96380 96775 97295 97328 97600 98560 99064 100804 101120 102080 102602 106018 107360 107648 107800 109312 110600 111232 111650 112259 113216 113680 114550 117425 117740 119560 120475 121660 123200 123830 123872 125048 126005 126400 127600 128296 129514 129920 131516 132878 134200 134560 134932 136213 136640 137984 139040 139751 141520 141568 142100 142912 146624 147175 148016 149450 150304 152075 154208 154840 155672 156310 156800 160370 162400 164395 164836 168200 168665 170324 170800 171776 172480 173362 173800 176407 176900 176960 178640 181888 183280 185020 185600 187880 188384 191296 192760 193550 194590 194656 195200 198128 201608 204160 205204 206045 212036 212905 214720 215296 215600 221200 222464 223300 224518 226432 227360 229100 231275 234850 235480 236131 239120 240950 243320 246400 247660 247744 250096 252010 252800 255200 256505 256592 259028 259840 263032 265045 265756 268400 269120 269864 272426 273280 278080 279502 283040 284200 285824 293248 294350 296032 298900 300608 304150 308416 309575 309680 311344 312620 313600 320740 323785 324800 328790 329672 332195 336400 337330 340648 341600 344960 346724 347600 352814 353800 353920 357280 359107 363776 366560 370040 371063 375760 376768 382592 385520 387100 389180 389312 390400 390775 396256 400925 403216 408320 410408 412090 424072 425810 429440 431200 433405 442400 446600 449036 452864 453299 454720 458200 462550 465073 469700 470960 472262 478240 481900 486475 486640 492800 495320 495488 500192 504020 505600 510400 513010 513184 518056 526064 530090 531512 536800 538240 539728 544852 546560 556160 559004 561295 564311 566080 568400 571648 586496 588700 592064 597800 601216 608300 616832 619150 619360 622688 625240 630025 641480 647570 649600 657580 659344 664390 672800 674660 681065 681296 683200 689920 693448 695200 698755 705628 707600 707840 714560 718214 730829 733120 740080 742126 751520 753536 765184 771040 774200 778360 778624 781550 792512 801850 806432 820816 821975 824180 843325 848144 851620 858880 862400 866810 882035 884800 893200 898072 906598 909440 916400 925100 930146 939400 941920 944524 953491 956480 963800 972950 973280 978257 990640 990976 1000384 1008040 1020800 1026020 1026368 1030225 1036112 1052128 1060180 1063024 1064525 1073600 1076480 1079456 1089704 1112320 1118008 1122590 1128622 1132160 1136800 1177400 1180655 1184128 1195600 1202432 1216600 1233664 1234849 1238300 1238720 1245376 1250480 1260050 1282525 1282960 1295140 1299200 1315160 1318688 1325225 1328780 1345600 1349320 1362130 1362592 1366400 1386896 1390400 1397510 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90659800 91931392 93014600 93546112 94452400 94992128 95349100 97825700 98384704 98754425 98787920 100038400 100549960 101319475 102316060 102636800 103611200 103897640 104176352 105212800 106302400 107608270 107945600 108970400 109564784 110604956 110951680 111800800 112862200 112900480 113477812 114914240 116044544 116932640 118740160 119058688 122046848 122980880 123484900 124537600 125216896 125687450 126405664 127895075 129688928 129872050 130220440 131868800 136259200 136955980 138256195 138689600 141125600 141847265 143242484 143642800 143691520 144463616 145055680 146165800 148425200 148823360 150651578 151123840 152558560 153726100 156521120 158007080 158060672 160879936 161286400 162111160 162775550 163705696 164163200 166236224 169628800 171194975 172173232 174352640 178322276 178881280 179053105 179614400 180579520 181319600 186029200 187092224 188904800 190698200 195651400 196769408 197508850 197575840 198586171 201099920 202638950 204632120 207222400 207795280 208352704 210425600 212604800 215216540 215891200 217940800 219129568 221209912 222902845 223601600 225724400 225800960 226955624 229828480 233865280 237480320 244093696 245961760 246969800 250433792 251374900 252811328 255790150 259377856 259744100 260440880 263737600 269020675 272518400 273911960 276512390 277379200 282251200 283694530 286484968 287285600 290111360 292331600 296850400 297646720 301303156 302247680 305117120 307452200 312063983 313042240 316014160 316121344 321759872 324222320 325551100 327411392 328326400 332472448 339257600 342389950 344346464 356644552 358106210 359228800 361159040 362639200 372058400 376628945 377809600 381396400 391302800 393538816 395017700 395151680 397172342 402199840 405277900 409264240 414444800 415590560 416705408 425209600 430433080 435881600 438259136 442419824 445805690 447203200 451448800 453911248 459656960 467730560 474960640 491923520 493939600 502749800 505622656 511580300 518755712 519488200 520881760 538041350 547823920 553024780 554758400 564502400 567389060 572969936 574571200 580222720 584663200 593700800 595293440 602606312 610234240 614904400 624127966 626084480 632028320 643519744 648444640 651102200 654822784 664944896 684779900 688692928 691280975 709236325 713289104 716212420 718457600 722318080 725278400 744116800 753257890 755619200 762792800 782605600 790035400 790303360 794344684 804399680 810555800 818528480 831181120 833410816 860866160 871763200 876518272 884839648 891611380 894406400 895265525 902897600 907822496 935461120 983847040 987879200 992930855 1005499600 1011245312 1023160600 1037511424 1038976400 1041763520 1076082700 1095647840 1106049560 1114514225 1129004800 1134778120 1145939872 1149142400 1169326400 1187401600 1205212624 1220468480 1229808800 1248255932 1252168960 1264056640 1296889280 1302204400 1309645568 1369559800 1377385856 1382561950 1418472650 1426578208 1432424840 1450556800 1488233600 1506515780 1511238400 1525585600 1560319915 1565211200 1580070800 1580606720 1588689368 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6354757472 6484446400 6548227840 6886929280 7078717184 7132891040 7162124200 7262579968 7532578900 7801599575 7903033600 7943446840 8043996800 8185284800 8311811200 8608661600 8737791524 8765182720 8848396480 8916113800 9078224960 9167518976 9641700992 9838470400 9929308550 9986047456 10417635200 10922239405 10956478400 11060495600 11347781200 11412625664 11459398720 12052126240 12482559320 12640566400 12709514944 12968892800 13773858560 14265782080 14324248400 15065157800 15603199150 15886893680 16087993600 16370569600 16623622400 17217323200 17475583048 17696792960 17832227600 18156449920 19283401984 19858617100 19972094912 20835270400 21844478810 21912956800 22120991200 22695562400 22918797440 24104252480 24965118640 25281132800 25419029888 25937785600 28531564160 28648496800 30130315600 31206398300 31773787360 32741139200 34434646400 34951166096 35393585920 35664455200 36312899840 39717234200 39944189824 43688957620 43825913600 44241982400 45391124800 45837594880 48208504960 49930237280 50838059776 54611197025 57063128320 57296993600 60260631200 62412796600 63547574720 68869292800 69902332192 71328910400 79434468400 79888379648 87377915240 88483964800 90782249600 96417009920 99860474560 109222394050 114593987200 120521262400 124825593200 127095149440 139804664384 142657820800 158868936800 174755830480 176967929600 181564499200 199720949120 218444788100 229187974400 241042524800 249651186400 254190298880 279609328768 285315641600 317737873600 349511660960 399441898240 436889576200 482085049600 499302372800 559218657536 635475747200 699023321920 873779152400 998604745600 1270951494400 1398046643840 1747558304800 1997209491200 2796093287680 3495116609600 6990233219200 13980466438400
- Sum of all divisors σ(n): 46809987719040
- Sum of proper divisors (its aliquot sum) s(n): 32829521280640
- 13980466438400 is an abundant number, because the sum of its proper divisors (32829521280640) is greater than itself. Its abundance is 18849054842240
Bases of 13980466438400
- Binary: 110010110111000101001011110001100001000000002
- Hexadecimal: 0xCB714BC6100
- Base-36: 4YEJCR37K
Squares and roots of 13980466438400
- 13980466438400 squared (139804664384002) is 195453441835228780994560000
- 13980466438400 cubed (139804664384003) is 2732530283847182475480189852975104000000
-
The
square root of 13980466438400 is 3739046.1936702521 -
The
cube root of 13980466438400 is 24090.2082191475
Scales and comparisons
How big is 13980466438400?- 13,980,466,438,400 seconds is equal to 444,535 years, 30 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,980,466,438,400 would take you about one million, one hundred eleven thousand, three hundred thirty-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 13980466438400 cubic inches would be around 2007.5 feet tall.
Recreational maths with 13980466438400
- 13980466438400 backwards is 00483466408931
- 13980466438400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13980466438400's digits is 56
- More coming soon!
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"Number 13980466438400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13980466438400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13980466438400/
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The information we have on file for 13980466438400 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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