13398351457725312000
13,398,351,457,725,312,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13398351457725312000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
13398351457725312000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13398351457725312000:
210 × 3 × 53 × 13 × 9412 × 17412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 941 × 941 × 1741 × 1741)See below for interesting mathematical facts about the number 13398351457725312000 from the Numbermatics database.
Names of 13398351457725312000
- Cardinal: 13398351457725312000 can be written as Thirteen quintillion, three hundred ninety-eight quadrillion, three hundred fifty-one trillion, four hundred fifty-seven billion, seven hundred twenty-five million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.3398351457725312 × 1019
Factors of 13398351457725312000
Divisors of 13398351457725312000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 512 520 600 624 640 650 750 768 780 800 832 941 960 975 1000 1024 1040 1200 1248 1280 1300 1500 1536 1560 1600 1625 1664 1741 1882 1920 1950 2000 2080 2400 2496 2560 2600 2823 3000 3072 3120 3200 3250 3328 3482 3764 3840 3900 4000 4160 4705 4800 4875 4992 5120 5200 5223 5646 6000 6240 6400 6500 6656 6964 7528 7680 7800 8000 8320 8705 9410 9600 9750 9984 10400 10446 11292 12000 12233 12480 12800 13000 13312 13928 14115 15056 15360 15600 16000 16640 17410 18820 19200 19500 19968 20800 20892 22584 22633 23525 24000 24466 24960 25600 26000 26115 27856 28230 30112 31200 32000 33280 34820 36699 37640 38400 39000 39936 41600 41784 43525 45168 45266 47050 48000 48932 49920 52000 52230 55712 56460 60224 61165 62400 64000 66560 67899 69640 70575 73398 75280 76800 78000 83200 83568 87050 90336 90532 94100 96000 97864 99840 104000 104460 111424 112920 113165 117625 120448 122330 124800 128000 130575 135798 139280 141150 146796 150560 156000 166400 167136 174100 180672 181064 183495 188200 192000 195728 199680 208000 208920 217625 222848 225840 226330 235250 240896 244660 249600 261150 271596 278560 282300 293592 301120 305825 312000 332800 334272 339495 348200 352875 361344 362128 366990 376400 384000 391456 416000 417840 435250 445696 451680 452660 470500 481792 489320 499200 522300 543192 557120 564600 565825 587184 602240 611650 624000 652875 668544 678990 696400 705750 722688 724256 733980 752800 782912 832000 835680 870500 885481 891392 903360 905320 917475 941000 963584 978640 998400 1044600 1086384 1114240 1129200 1131650 1174368 1204480 1223300 1248000 1305750 1337088 1357980 1392800 1411500 1445376 1448512 1467960 1505600 1529125 1565824 1638281 1664000 1671360 1697475 1741000 1770962 1782784 1806720 1810640 1834950 1882000 1957280 2089200 2172768 2228480 2258400 2263300 2348736 2408960 2446600 2496000 2611500 2656443 2674176 2715960 2785600 2823000 2829125 2890752 2897024 2935920 3011200 3031081 3058250 3131648 3276562 3342720 3394950 3482000 3541924 3613440 3621280 3669900 3764000 3914560 4178400 4345536 4427405 4456960 4516800 4526600 4587375 4697472 4817920 4893200 4914843 4992000 5223000 5312886 5348352 5431920 5571200 5646000 5658250 5794048 5871840 6022400 6062162 6116500 6263296 6553124 6685440 6789900 6964000 7083848 7226880 7242560 7339800 7528000 7829120 8191405 8356800 8487375 8691072 8854810 8913920 9033600 9053200 9093243 9174750 9394944 9786400 9829686 10446000 10625772 10863840 11142400 11292000 11316500 11511253 11588096 11743680 12044800 12124324 12233000 12526592 13106248 13282215 13370880 13579800 13928000 14167696 14453760 14485120 14679600 15056000 15155405 15658240 16382810 16713600 16974750 17382144 17709620 18067200 18106400 18186486 18349500 18789888 19572800 19659372 20892000 21251544 21297653 21727680 22137025 22284800 22584000 22633000 23022506 23176192 23487360 24089600 24248648 24466000 24574215 26212496 26564430 26741760 27159600 27856000 28335392 28970240 29359200 30112000 30310810 31316480 32765620 33427200 33949500 34533759 34764288 35419240 36134400 36212800 36372972 36699000 37579776 39145600 39318744 39404053 40957025 41784000 42503088 42595306 43455360 44274050 44569600 45168000 45266000 45466215 46045012 46974720 48497296 48932000 49148430 52424992 53128860 54319200 55712000 56670784 57556265 57940480 58718400 60224000 60621620 62632960 63892959 65531240 66411075 66854400 67899000 69067518 69528576 70838480 72268800 72425600 72745944 73398000 75777025 78291200 78637488 78808106 81914050 83568000 85006176 85190612 86910720 88548100 90336000 90532000 90932430 92090024 93949440 96994592 97864000 98296860 104849984 106257720 106488265 108638400 110685125 111424000 113341568 115112530 115880960 117436800 118212159 120448000 121243240 122871075 127785918 131062480 132822150 133708800 135798000 138135036 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147995752416000 148316855492000 153915582512640 160328731784000 161037878097660 171773736637504 174457701272465 177980226590400 182543822144000 189845575029760 192394478140800 197327669888000 201297347622075 209349241526958 214717170796880 219052586572800 222475283238000 237306968787200 240493097676000 256525970854400 257660604956256 268396463496100 273815733216000 279132322035944 284768362544640 295991504832000 296633710984000 307831165025280 320657463568000 322075756195320 335495579370125 343547473275008 348915402544930 355960453180800 365087644288000 384788956281600 402594695244150 418698483053916 429434341593760 444950566476000 474613937574400 480986195352000 513051941708800 515321209912512 523373103817395 536792926992200 547631466432000 558264644071888 569536725089280 591983009664000 593267421968000 641314927136000 644151512390640 670991158740250 687094946550016 697830805089860 711920906361600 769577912563200 805189390488300 837396966107832 858868683187520 872288506362325 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8051893904883000 8245139358600192 8373969661078320 8588686831875200 8722885063623250 8932234305150208 10306424198250240 10467462076347900 10735858539844000 11165292881437760 12883030247812800 13084327595434875 13398351457725312 13741898931000320 13956616101797200 14238418127232000 16103787809766000 16747939322156640 17177373663750400 17445770127246500 17864468610300416 20612848396500480 20934924152695800 21471717079688000 22330585762875520 25766060495625600 26168655190869750 26796702915450624 27913232203594400 32207575619532000 33495878644313280 34354747327500800 34891540254493000 35728937220600832 41225696793000960 41869848305391600 42943434159376000 44661171525751040 51532120991251200 52337310381739500 53593405830901248 55826464407188800 64415151239064000 66991757288626560 68709494655001600 69783080508986000 83739696610783200 85886868318752000 89322343051502080 103064241982502400 104674620763479000 107186811661802496 111652928814377600 128830302478128000 133983514577253120 139566161017972000 167479393221566400 171773736637504000 178644686103004160 206128483965004800 209349241526958000 223305857628755200 257660604956256000 267967029154506240 279132322035944000 334958786443132800 343547473275008000 418698483053916000 446611715257510400 515321209912512000 535934058309012480 558264644071888000 669917572886265600 837396966107832000 893223430515020800 1030642419825024000 1116529288143776000 1339835145772531200 1674793932215664000 2233058576287552000 2679670291545062400 3349587864431328000 4466117152575104000 6699175728862656000 13398351457725312000
- Sum of all divisors σ(n): 48074917670515558368
- Sum of proper divisors (its aliquot sum) s(n): 34676566212790246368
- 13398351457725312000 is an abundant number, because the sum of its proper divisors (34676566212790246368) is greater than itself. Its abundance is 21278214755064934368
Bases of 13398351457725312000
- Binary: 10111001111100001000000110101001110011011000110111101100000000002
- Hexadecimal: 0xB9F081A9CD8DEC00
- Base-36: 2TSLJ7BAYGFEO
Squares and roots of 13398351457725312000
- 13398351457725312000 squared (133983514577253120002) is 179515821784729993033485245497344000000
- 13398351457725312000 cubed (133983514577253120003) is 2405216072494194422242122969504444922412377571328000000000
-
The
square root of 13398351457725312000 is 3660375862.9033319533 -
The
cube root of 13398351457725312000 is 2375110.3303264505
Scales and comparisons
How big is 13398351457725312000?- 13,398,351,457,725,312,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,398,351,457,725,312,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13398351457725312000 cubic inches would be around 197925.9 feet tall.
Recreational maths with 13398351457725312000
- 13398351457725312000 backwards is 00021352775415389331
- The number of decimal digits it has is: 20
- The sum of 13398351457725312000's digits is 69
- More coming soon!
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Cite this page
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"Number 13398351457725312000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13398351457725312000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13398351457725312000/
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Numbermatics. 2024. "Number 13398351457725312000 - Facts about the integer". https://numbermatics.com/n/13398351457725312000/
The information we have on file for 13398351457725312000 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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