13909424726400
13,909,424,726,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13909424726400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
13909424726400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13909424726400:
27 × 3 × 52 × 7 × 192 × 23 × 97 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 19 × 23 × 97 × 257)See below for interesting mathematical facts about the number 13909424726400 from the Numbermatics database.
Names of 13909424726400
- Cardinal: 13909424726400 can be written as Thirteen trillion, nine hundred nine billion, four hundred twenty-four million, seven hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39094247264 × 1013
Factors of 13909424726400
Divisors of 13909424726400
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 23 24 25 28 30 32 35 38 40 42 46 48 50 56 57 60 64 69 70 75 76 80 84 92 95 96 97 100 105 112 114 115 120 128 133 138 140 150 152 160 161 168 175 184 190 192 194 200 210 224 228 230 240 257 266 276 280 285 291 300 304 320 322 336 345 350 361 368 380 384 388 399 400 420 437 448 456 460 475 480 483 485 514 525 532 552 560 570 575 582 600 608 640 644 665 672 679 690 700 722 736 760 771 776 798 800 805 840 874 896 912 920 950 960 966 970 1028 1050 1064 1083 1104 1120 1140 1150 1164 1200 1216 1285 1288 1311 1330 1344 1358 1380 1400 1425 1444 1455 1472 1520 1542 1552 1596 1600 1610 1680 1725 1748 1799 1805 1824 1840 1843 1900 1920 1932 1940 1995 2037 2056 2100 2128 2166 2185 2208 2231 2240 2280 2300 2328 2400 2415 2425 2432 2527 2570 2576 2622 2660 2688 2716 2760 2800 2850 2888 2910 2944 3040 3059 3084 3104 3192 3200 3220 3325 3360 3395 3450 3496 3598 3610 3648 3680 3686 3800 3855 3864 3880 3990 4025 4074 4112 4200 4256 4332 4370 4416 4462 4480 4560 4600 4656 4800 4830 4850 4883 5054 5140 5152 5244 5320 5397 5415 5432 5520 5529 5600 5700 5776 5820 5911 6080 6118 6168 6208 6384 6425 6440 6555 6650 6693 6720 6790 6900 6992 7196 7220 7275 7296 7360 7372 7581 7600 7710 7728 7760 7980 8050 8148 8224 8303 8400 8512 8664 8740 8832 8924 8995 9025 9120 9177 9200 9215 9312 9600 9660 9700 9766 9975 10108 10185 10280 10304 10488 10640 10794 10830 10864 10925 11040 11058 11155 11200 11400 11552 11640 11822 12075 12160 12236 12336 12416 12635 12768 12850 12880 12901 13110 13300 13386 13440 13580 13800 13984 14392 14440 14550 14649 14720 14744 15162 15200 15295 15420 15456 15520 15617 15960 16100 16296 16448 16606 16800 16975 17024 17328 17480 17733 17848 17990 18050 18240 18354 18400 18430 18624 19275 19320 19400 19532 19950 20216 20370 20560 20608 20976 21280 21588 21660 21728 21850 22080 22116 22310 22400 22800 23104 23280 23644 24150 24415 24472 24672 24909 24929 25270 25536 25700 25760 25802 26220 26600 26772 26985 27075 27160 27600 27645 27968 28784 28880 29100 29298 29488 29555 30324 30400 30590 30840 30912 31040 31234 31920 32200 32592 32775 32896 33212 33465 33600 33950 34181 34656 34960 35017 35466 35696 35980 36100 36480 36708 36800 36860 37248 37905 38550 38640 38703 38800 39064 39900 40432 40740 41120 41377 41515 41952 42389 42560 43176 43320 43456 43700 44160 44232 44620 44975 45600 45885 46075 46208 46560 46851 47288 48300 48830 48944 49344 49818 49858 50540 50925 51072 51400 51520 51604 52440 53200 53544 53970 54150 54320 55200 55290 55775 55936 57568 57760 58121 58200 58596 58976 59110 60648 60800 61180 61680 61824 62080 62468 63175 63840 64400 64505 65184 65550 66424 66930 67200 67900 68362 69312 69920 70034 70932 71392 71960 72200 73245 73416 73600 73720 74787 75810 76475 77100 77280 77406 77600 78085 78128 79800 80864 81480 82240 82754 83030 83904 84778 85120 86352 86640 86912 87400 88464 88665 89240 89950 91200 91770 92150 92777 93120 93702 94576 96600 97660 97888 98688 99636 99716 101080 101850 102543 102800 103040 103208 104880 105051 106400 107088 107940 108300 108640 110400 110580 111550 112309 115136 115520 116242 116400 117192 117952 118220 121296 122075 122360 123360 124131 124545 124645 124936 126350 127167 127680 128800 129010 130368 131100 132848 133860 134925 135800 136724 138225 138624 139840 140068 141864 142784 143920 144400 146490 146832 147440 147775 149574 151620 152950 154200 154560 154812 155200 156170 156256 159600 161728 162960 164480 165508 166060 167325 167808 169556 170905 172704 173280 174363 174503 174800 175085 176928 177330 178480 179900 182400 183540 184300 185554 186240 187404 189152 189525 193200 193515 195320 195776 199272 199432 202160 203700 205086 205600 206416 206885 207575 209760 210102 211945 212800 214176 215880 216600 217280 220800 221160 223100 224618 229425 230272 231040 232484 232800 234255 234384 235904 236440 242592 244150 244720 245119 246720 248262 249090 249290 249872 252700 254334 255360 257600 258020 260736 262200 265696 267720 269850 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239318400 240814140 241617300 248666775 249384576 251572160 251982332 256064520 256868416 257725120 259775600 261455352 265244560 269541600 269981070 270611376 272349325 273135488 275216160 278980800 279204800 281886850 284190600 284854080 287979808 294142800 296886400 298741940 301017675 301886592 303136640 305031244 309270144 311730720 314465200 314977915 318293472 320080650 321085520 322156400 326819190 328137600 331555700 335045760 336163200 338264220 341419360 344020200 348607136 356067600 358490328 359388800 359974760 360815168 366954880 373427425 377358240 377973498 378920800 381289055 385302624 386587680 389663400 392190400 397219200 397866840 401356900 406934400 409703232 413970974 415640960 418807200 422830275 424391296 426774200 431969712 435758920 445329600 448112910 449968450 451018960 454704960 457546866 458693600 470628480 471697800 474756800 477987104 481628280 483234600 497333550 503144320 503964664 512129040 513736832 515450240 519551200 522910704 530489120 539083200 539962140 541222752 544698650 550432320 557961600 558409600 563773700 568381200 569708160 575959616 588285600 597483880 602035350 610062488 620956461 623461440 628930400 629955830 636586944 640161300 642171040 644312800 653638380 663111400 674952675 676528440 682838720 688040400 697214272 712135200 716980656 719949520 721630336 746854850 754716480 755946996 757841600 762578110 770605248 773175360 779326800 784380800 795733680 802713800 817047975 819406464 827941948 837614400 845660550 853548400 863939424 871517840 890659200 896225820 899936900 902037920 909409920 915093732 917387200 943395600 944933745 949513600 955974208 963256560 966469200 994667100 1007929328 1024258080 1034927435 1039102400 1045821408 1060978240 1078166400 1079924280 1082445504 1089397300 1100864640 1120282275 1127547400 1136762400 1143867165 1151919232 1176571200 1194967760 1204070700 1220124976 1241912922 1246922880 1257860800 1259911660 1273173888 1280322600 1284342080 1288625600 1307276760 1326222800 1349905350 1353056880 1365677440 1376080800 1394428544 1424270400 1433961312 1439899040 1448898409 1493709700 1509432960 1511893992 1515683200 1525156220 1541210496 1546350720 1558653600 1574889575 1591467360 1605427600 1634095950 1655883896 1675228800 1691321100 1707096800 1727878848 1743035680 1792451640 1799873800 1804075840 1830187464 1834774400 1886791200 1889867490 1906445275 1911948416 1926513120 1932938400 1989334200 2015858656 2048516160 2069854870 2078204800 2091642816 2121956480 2159848560 2164891008 2178794600 2240564550 2255094800 2273524800 2287734330 2353142400 2389935520 2408141400 2440249952 2483825844 2515721600 2519823320 2560645200 2568684160 2577251200 2614553520 2652445600 2699810700 2706113760 2752161600 2848540800 2867922624 2879798080 2897796818 2987419400 3023787984 3050312440 3104782305 3117307200 3149779150 3182934720 3210855200 3268191900 3311767792 3382642200 3414193600 3455757696 3486071360 3584903280 3599747600 3608151680 3660374928 3773582400 3779734980 3812890550 3853026240 3865876800 3978668400 4031717312 4097032320 4139709740 4183285632 4319697120 4346695227 4357589200 4481129100 4510189600 4547049600 4575468660 4724668725 4779871040 4816282800 4880499904 4967651688 5039646640 5121290400 5174637175 5229107040 5304891200 5399621400 5412227520 5504323200 5719335825 5735845248 5759596160 5795593636 5974838800 6047575968 6100624880 6209564610 6234614400 6299558300 6365869440 6421710400 6536383800 6623535584 6765284400 6828387200 6972142720 7169806560 7199495200 7244492045 7320749856 7547164800 7559469960 7625781100 7706052480 7731753600 7957336800 8063434624 8279419480 8639394240 8693390454 8715178400 8962258200 9020379200 9150937320 9449337450 9559742080 9632565600 9760999808 9935303376 10079293280 10242580800 10349274350 10458214080 10609782400 10799242800 10824455040 11438671650 11591187272 11949677600 12095151936 12201249760 12419129220 12599116600 12843420800 13072767600 13247071168 13530568800 14339613120 14398990400 14488984090 14641499712 15118939920 15251562200 15523911525 15914673600 16558838960 17278788480 17386780908 17430356800 17924516400 18040758400 18301874640 18898674900 19265131200 19870606752 20158586560 20485161600 20698548700 20916428160 21598485600 21733476135 22877343300 23182374544 23899355200 24190303872 24402499520 24838258440 25198233200 26145535200 26494142336 27061137600 28679226240 28797980800 28977968180 29282999424 30237879840 30503124400 31047823050 31829347200 33117677920 34773561816 34860713600 35849032800 36222460225 36603749280 37797349800 38530262400 39741213504 40317173120 41397097400 43196971200 43466952270 45754686600 46364749088 47798710400 48804999040 49676516880 50396466400 52291070400 54122275200 57955936360 60475759680 61006248800 62095646100 66235355840 69547123632 71698065600 72444920450 73207498560 75594699600 79482427008 82794194800 86393942400 86933904540 91509373200 92729498176 99353033760 100792932800 104582140800 108667380675 115911872720 120951519360 122012497600 124191292200 132470711680 139094247264 143396131200 144889840900 146414997120 151189399200 165588389600 173867809080 183018746400 185458996352 198706067520 201585865600 217334761350 231823745440 244024995200 248382584400 278188494528 289779681800 302378798400 331176779200 347735618160 366037492800 397412135040 434669522700 463647490880 496765168800 556376989056 579559363600 604757596800 662353558400 695471236320 732074985600 869339045400 927294981760 993530337600 1159118727200 1390942472640 1738678090800 1987060675200 2318237454400 2781884945280 3477356181600 4636474908800 6954712363200 13909424726400
- Sum of all divisors σ(n): 58483566812160
- Sum of proper divisors (its aliquot sum) s(n): 44574142085760
- 13909424726400 is an abundant number, because the sum of its proper divisors (44574142085760) is greater than itself. Its abundance is 30664717359360
Bases of 13909424726400
- Binary: 110010100110100010100101000111100001100000002
- Hexadecimal: 0xCA68A51E180
- Base-36: 4XHWGCNEO
Squares and roots of 13909424726400
- 13909424726400 squared (139094247264002) is 193472096219387714856960000
- 13909424726400 cubed (139094247264003) is 2691085559022391440099792063135744000000
-
The
square root of 13909424726400 is 3729534.1165352007 -
The
cube root of 13909424726400 is 24049.3341254057
Scales and comparisons
How big is 13909424726400?- 13,909,424,726,400 seconds is equal to 442,276 years, 35 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 13,909,424,726,400 would take you about one million, one hundred five thousand, six hundred ninety-one 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 13909424726400 cubic inches would be around 2004.1 feet tall.
Recreational maths with 13909424726400
- 13909424726400 backwards is 00462742490931
- The number of decimal digits it has is: 14
- The sum of 13909424726400's digits is 51
- More coming soon!
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"Number 13909424726400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13909424726400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13909424726400/
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Numbermatics. 2024. "Number 13909424726400 - Facts about the integer". https://numbermatics.com/n/13909424726400/
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