138764913235200
138,764,913,235,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138764913235200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2916 divisors.
138764913235200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 138764913235200:
28 × 32 × 52 × 72 × 612 × 73 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 61 × 61 × 73 × 181)See below for interesting mathematical facts about the number 138764913235200 from the Numbermatics database.
Names of 138764913235200
- Cardinal: 138764913235200 can be written as One hundred thirty-eight trillion, seven hundred sixty-four billion, nine hundred thirteen million, two hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.387649132352 × 1014
Factors of 138764913235200
Divisors of 138764913235200
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 61 63 64 70 72 73 75 80 84 90 96 98 100 105 112 120 122 126 128 140 144 146 147 150 160 168 175 180 181 183 192 196 200 210 219 224 225 240 244 245 252 256 280 288 292 294 300 305 315 320 336 350 360 362 365 366 384 392 400 420 427 438 441 448 450 480 488 490 504 511 525 543 549 560 576 584 588 600 610 630 640 657 672 700 720 724 730 732 735 768 784 800 840 854 876 882 896 900 905 915 960 976 980 1008 1022 1050 1086 1095 1098 1120 1152 1168 1176 1200 1220 1225 1260 1267 1280 1281 1314 1344 1400 1440 1448 1460 1464 1470 1525 1533 1568 1575 1600 1629 1680 1708 1752 1764 1792 1800 1810 1825 1830 1920 1952 1960 2016 2044 2100 2135 2172 2190 2196 2205 2240 2304 2336 2352 2400 2440 2450 2520 2534 2555 2562 2628 2688 2715 2745 2800 2880 2896 2920 2928 2940 2989 3050 3066 3136 3150 3200 3258 3285 3360 3416 3504 3528 3577 3600 3620 3650 3660 3675 3721 3801 3840 3843 3904 3920 4032 4088 4200 4270 4344 4380 4392 4410 4453 4480 4525 4575 4599 4672 4704 4800 4880 4900 5040 5068 5110 5124 5256 5376 5430 5475 5490 5600 5760 5792 5840 5856 5880 5978 6100 6132 6272 6300 6335 6400 6405 6516 6570 6720 6832 7008 7056 7154 7200 7240 7300 7320 7350 7442 7602 7665 7686 7808 7840 8064 8145 8176 8400 8540 8688 8760 8784 8820 8869 8906 8960 8967 9050 9150 9198 9344 9408 9600 9760 9800 10080 10136 10220 10248 10512 10675 10731 10860 10950 10980 11025 11041 11163 11200 11403 11520 11584 11680 11712 11760 11956 12200 12264 12544 12600 12670 12775 12810 13032 13140 13213 13359 13440 13575 13664 13725 14016 14112 14308 14400 14480 14600 14640 14700 14884 14945 15204 15330 15372 15616 15680 16128 16290 16352 16425 16800 17080 17376 17520 17568 17640 17738 17812 17885 17934 18100 18300 18396 18605 18688 18816 19005 19200 19215 19520 19600 20160 20272 20440 20496 21024 21350 21462 21720 21900 21960 22050 22082 22265 22326 22400 22806 22995 23168 23360 23424 23520 23912 24400 24528 25200 25340 25550 25620 26047 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13200619600 13540682400 13577780160 13690303200 13766360440 14159685024 14217716520 14454678462 14749671900 14850697050 15086422400 15165564288 15333139584 15475065600 15487155495 15581059200 15646060800 15732983360 15797462800 15840743520 15972020400 16248818880 16519632528 16972225200 17036821760 17207950550 17699606280 17772145650 18054243200 18103706880 18253737600 18646185600 18879580032 18956955360 19008892224 19166424480 19272904616 19396828800 19666229200 19800929400 20311023600 20649540660 21120991360 21296027200 21665091840 21682017693 21904485120 22026176704 22124507850 22629633600 22748346432 23212598400 23599475040 23696194200 23761115280 23958030600 24091130770 24779448792 25275940480 25345189632 25555232640 25811925825 26401239200 27081364800 27155560320 27380606400 27532720880 28319370048 28435433040 28909356924 29499343800 29701394100 30172844800 30331128576 30666279168 30974310990 31162118400 31465966720 31594925600 31681487040 31944040800 32497637760 33039265056 33944450400 34415901100 35399212560 35544291300 36108486400 36136696155 36507475200 37292371200 37759160064 37913910720 38017784448 38332848960 38545809232 38793657600 39332458400 39601858800 40622047200 41299081320 42241982720 42592054400 43364035386 44052353408 44249015700 45259267200 45496692864 46425196800 47198950080 47392388400 47522230560 47916061200 48182261540 49558897584 50551880960 51110465280 51623851650 52802478400 54162729600 54311120640 54761212800 55065441760 56638740096 56870866080 57818713848 58998687600 59402788200 60227826925 61948621980 62931933440 63189851200 63362974080 63888081600 64995275520 66078530112 67888900800 68831802200 70798425120 71088582600 72273392310 75827821440 76035568896 76665697920 77091618464 77435777475 78664916800 79203717600 81244094400 82598162640 85184108800 86728070772 88104706816 88498031400 90518534400 90993385728 94397900160 94784776800 95044461120 95832122400 96364523080 99117795168 103247703300 105604956800 108325459200 108410088465 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550654417600 566387400960 568708660800 578187138480 616732947712 619486219800 633629740800 660785301120 693824566176 707984251200 722733923100 758278214400 766656979200 770916184640 792942361344 825981626400 867280707720 925099421568 943979001600 950444611200 963645230800 991177951680 1084100884650 1101308835200 1137417321600 1156374276960 1238972439600 1321570602240 1387649132352 1415968502400 1445467846200 1541832369280 1651963252800 1734561415440 1850198843136 1900889222400 1927290461600 1982355903360 2168201769300 2202617670400 2274834643200 2312748553920 2477944879200 2775298264704 2831937004800 2890935692400 3083664738560 3303926505600 3469122830880 3854580923200 3964711806720 4336403538600 4625497107840 4955889758400 5550596529408 5781871384800 6607853011200 6938245661760 7709161846400 8672807077200 9250994215680 9911779516800 11563742769600 13876491323520 15418323692800 17345614154400 19823559033600 23127485539200 27752982647040 34691228308800 46254971078400 69382456617600 138764913235200
- Sum of all divisors σ(n): 598053795521364
- Sum of proper divisors (its aliquot sum) s(n): 459288882286164
- 138764913235200 is an abundant number, because the sum of its proper divisors (459288882286164) is greater than itself. Its abundance is 320523969050964
Bases of 138764913235200
- Binary: 111111000110100101110010101110001010101000000002
- Hexadecimal: 0x7E34B95C5500
- Base-36: 1D6RPYJB40
Squares and roots of 138764913235200
- 138764913235200 squared (1387649132352002) is 19255701145172584130519040000
- 138764913235200 cubed (1387649132352003) is 2672015698692814916201247017941598208000000
-
The
square root of 138764913235200 is 11779852.0039599819 -
The
cube root of 138764913235200 is 51771.7949982733
Scales and comparisons
How big is 138764913235200?- 138,764,913,235,200 seconds is equal to 4,412,295 years, 4 days, 16 hours.
-
To count from 1 to 138,764,913,235,200 would take you about eleven million, thirty thousand, seven hundred thirty-seven 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 138764913235200 cubic inches would be around 4314.3 feet tall.
Recreational maths with 138764913235200
- 138764913235200 backwards is 002532319467831
- The number of decimal digits it has is: 15
- The sum of 138764913235200's digits is 54
- More coming soon!
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"Number 138764913235200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138764913235200 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138764913235200/
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The information we have on file for 138764913235200 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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