13427645372006400
13,427,645,372,006,400 is an even composite number composed of five prime numbers multiplied together.
13427645372006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13427645372006400:
215 × 35 × 52 × 432 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 43 × 43 × 191 × 191)See below for interesting mathematical facts about the number 13427645372006400 from the Numbermatics database.
Names of 13427645372006400
- Cardinal: 13427645372006400 can be written as Thirteen quadrillion, four hundred twenty-seven trillion, six hundred forty-five billion, three hundred seventy-two million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.34276453720064 × 1016
Factors of 13427645372006400
Divisors of 13427645372006400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 43 45 48 50 54 60 64 72 75 80 81 86 90 96 100 108 120 128 129 135 144 150 160 162 172 180 191 192 200 215 216 225 240 243 256 258 270 288 300 320 324 344 360 382 384 387 400 405 430 432 450 480 486 512 516 540 573 576 600 640 645 648 675 688 720 764 768 774 800 810 860 864 900 955 960 972 1024 1032 1075 1080 1146 1152 1161 1200 1215 1280 1290 1296 1350 1376 1440 1528 1536 1548 1600 1620 1719 1720 1728 1800 1849 1910 1920 1935 1944 2025 2048 2064 2150 2160 2292 2304 2322 2400 2430 2560 2580 2592 2700 2752 2865 2880 3056 3072 3096 3200 3225 3240 3438 3440 3456 3483 3600 3698 3820 3840 3870 3888 4050 4096 4128 4300 4320 4584 4608 4644 4775 4800 4860 5120 5157 5160 5184 5400 5504 5547 5730 5760 5805 6075 6112 6144 6192 6400 6450 6480 6876 6880 6912 6966 7200 7396 7640 7680 7740 7776 8100 8192 8213 8256 8595 8600 8640 9168 9216 9245 9288 9550 9600 9675 9720 10240 10314 10320 10368 10449 10800 11008 11094 11460 11520 11610 12150 12224 12288 12384 12800 12900 12960 13752 13760 13824 13932 14325 14400 14792 15280 15360 15471 15480 15552 16200 16384 16426 16512 16641 17190 17200 17280 17415 18336 18432 18490 18576 19100 19200 19350 19440 20480 20628 20640 20736 20898 21600 22016 22188 22920 23040 23220 24300 24448 24576 24639 24768 25600 25785 25800 25920 27504 27520 27648 27735 27864 28650 28800 29025 29584 30560 30720 30942 30960 31104 32400 32768 32852 33024 33282 34380 34400 34560 34830 36481 36672 36864 36980 37152 38200 38400 38700 38880 40960 41065 41256 41280 41472 41796 42975 43200 44032 44376 45840 46080 46225 46413 46440 48600 48896 49152 49278 49536 49923 51200 51570 51600 51840 52245 55008 55040 55296 55470 55728 57300 57600 58050 59168 61120 61440 61884 61920 62208 64800 65704 66048 66564 68760 68800 69120 69660 72962 73344 73728 73917 73960 74304 76400 76800 77355 77400 77760 81920 82130 82512 82560 82944 83205 83592 85950 86400 87075 88064 88752 91680 92160 92450 92826 92880 97200 97792 98304 98556 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242832128400 243961580160 244103500800 257013022720 259020936960 260225685504 260377067520 262258698672 268967116800 271068422400 272487628800 273186144450 274616438400 276288999424 289139650560 289307852800 290484486144 291398554080 292924200960 302588006400 304951975200 310825124352 312452481024 321266278400 323776171200 325282106880 325471334400 326985154560 327823373340 345361249280 346967580672 349678264896 351509041152 361424563200 363105607680 364248192600 366155251200 368072294400 385519534080 388531405440 390338528256 390565601280 403450675200 406602633600 408731443200 409779216675 414433499136 431701561600 433709475840 433961779200 437097831120 439386301440 453882009600 462623440896 466237686528 468678721536 481899417600 484140810240 485664256800 487923160320 488207001600 518041873920 520451371008 520754135040 524517397344 542136844800 544975257600 546372288900 549232876800 552577998848 578279301120 582797108160 585848401920 605176012800 609903950400 621650248704 642532556800 647552342400 650564213760 650942668800 655646746680 690722498560 693935161344 699356529792 703018082304 722849126400 726211215360 728496385200 732310502400 771039068160 777062810880 780677056512 781131202560 806901350400 813205267200 817462886400 819558433350 828866998272 863403123200 867418951680 867923558400 874195662240 878772602880 907764019200 932475373056 937357443072 963798835200 971328513600 975846320640 976414003200 1036083747840 1040902742016 1049034794688 1084273689600 1092744577800 1098465753600 1105155997696 1156558602240 1165594216320 1171696803840 1210352025600 1219807900800 1243300497408 1285065113600 1295104684800 1301128427520 1301885337600 1311293493360 1381444997120 1387870322688 1398713059584 1406036164608 1445698252800 1452422430720 1456992770400 1464621004800 1554125621760 1561354113024 1562262405120 1626410534400 1634925772800 1639116866700 1657733996544 1726806246400 1734837903360 1748391324480 1757545205760 1815528038400 1864950746112 1927597670400 1942657027200 1951692641280 1952828006400 2072167495680 2081805484032 2098069589376 2168547379200 2185489155600 2196931507200 2210311995392 2313117204480 2331188432640 2343393607680 2420704051200 2439615801600 2486600994816 2590209369600 2602256855040 2603770675200 2622586986720 2762889994240 2797426119168 2812072329216 2891396505600 2913985540800 2929242009600 3108251243520 3122708226048 3252821068800 3278233733400 3315467993088 3453612492800 3469675806720 3496782648960 3515090411520 3631056076800 3729901492224 3855195340800 3885314054400 3903385282560 3905656012800 4144334991360 4163610968064 4196139178752 4337094758400 4370978311200 4393863014400 4662376865280 4686787215360 4879231603200 4973201989632 5180418739200 5204513710080 5245173973440 5525779988480 5594852238336 5782793011200 5827971081600 5858484019200 6216502487040 6245416452096 6505642137600 6556467466800 6630935986176 6907224985600 6939351613440 6993565297920 7030180823040 7262112153600 7459802984448 7770628108800 7806770565120 7811312025600 8288669982720 8392278357504 8674189516800 8741956622400 8787726028800 9324753730560 9758463206400 9946403979264 10360837478400 10409027420160 10490347946880 11051559976960 11189704476672 11565586022400 11655942163200 11716968038400 12433004974080 12490832904192 13011284275200 13112934933600 13814449971200 13987130595840 14060361646080 14919605968896 15541256217600 15613541130240 16577339965440 16784556715008 17348379033600 17483913244800 17575452057600 18649507461120 19516926412800 19892807958528 20721674956800 20818054840320 20980695893760 22379408953344 23311884326400 23433936076800 24866009948160 26022568550400 26225869867200 27628899942400 27974261191680 29839211937792 31082512435200 31227082260480 33154679930880 33569113430016 34696758067200 34967826489600 35150904115200 37299014922240 39033852825600 41443349913600 41961391787520 44758817906688 46623768652800 49732019896320 52045137100800 52451739734400 55257799884800 55948522383360 59678423875584 62165024870400 62454164520960 67138226860032 69935652979200 70301808230400 74598029844480 78067705651200 82886699827200 83922783575040 89517635813376 93247537305600 99464039792640 104090274201600 104903479468800 111897044766720 124330049740800 134276453720064 139871305958400 149196059688960 156135411302400 165773399654400 167845567150080 179035271626752 186495074611200 209806958937600 223794089533440 248660099481600 268552907440128 279742611916800 298392119377920 312270822604800 335691134300160 372990149222400 419613917875200 447588179066880 497320198963200 537105814880256 559485223833600 671382268600320 745980298444800 839227835750400 895176358133760 1118970447667200 1342764537200640 1491960596889600 1678455671500800 2237940895334400 2685529074401280 3356911343001600 4475881790668800 6713822686003200 13427645372006400
- Sum of all divisors σ(n): 51337348434213660
- Sum of proper divisors (its aliquot sum) s(n): 37909703062207260
- 13427645372006400 is an abundant number, because the sum of its proper divisors (37909703062207260) is greater than itself. Its abundance is 24482057690200860
Bases of 13427645372006400
- Binary: 1011111011010001011111010100001001000110000000000000002
- Hexadecimal: 0x2FB45F50918000
- Base-36: 3O7PB4IYO00
Squares and roots of 13427645372006400
- 13427645372006400 squared (134276453720064002) is 180301660236364892244761640960000
- 13427645372006400 cubed (134276453720064003) is 2421026753637895402079165074790036111622144000000
-
The
square root of 13427645372006400 is 115877717.3230746723 -
The
cube root of 13427645372006400 is 237684.0036486491
Scales and comparisons
How big is 13427645372006400?- 13,427,645,372,006,400 seconds is equal to 426,957,588 years, 20 weeks, 4 days.
-
To count from 1 to 13,427,645,372,006,400 would take you about one billion, two hundred eighty million, eight hundred seventy-two thousand, seven hundred sixty-five 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 13427645372006400 cubic inches would be around 19807 feet tall.
Recreational maths with 13427645372006400
- 13427645372006400 backwards is 00460027354672431
- 13427645372006400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13427645372006400's digits is 54
- More coming soon!
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"Number 13427645372006400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 13427645372006400 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13427645372006400/
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The information we have on file for 13427645372006400 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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