138144796151296000
138,144,796,151,296,000 is an even composite number composed of five prime numbers multiplied together.
138144796151296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, nine hundred twelve divisors.
Prime factorization of 138144796151296000:
212 × 53 × 116 × 173 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 138144796151296000 from the Numbermatics database.
Names of 138144796151296000
- Cardinal: 138144796151296000 can be written as One hundred thirty-eight quadrillion, one hundred forty-four trillion, seven hundred ninety-six billion, one hundred fifty-one million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38144796151296 × 1017
Factors of 138144796151296000
Divisors of 138144796151296000
- Number of divisors d(n): 2912
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 31 32 34 40 44 50 55 62 64 68 80 85 88 100 110 121 124 125 128 136 155 160 170 176 187 200 220 242 248 250 256 272 275 289 310 320 340 341 352 374 400 425 440 484 496 500 512 527 544 550 578 605 620 640 680 682 704 748 775 800 850 880 935 968 992 1000 1024 1054 1088 1100 1156 1210 1240 1280 1331 1360 1364 1375 1408 1445 1496 1550 1600 1700 1705 1760 1870 1936 1984 2000 2048 2057 2108 2125 2176 2200 2312 2420 2480 2560 2635 2662 2720 2728 2750 2816 2890 2992 3025 3100 3179 3200 3400 3410 3520 3740 3751 3872 3875 3968 4000 4096 4114 4216 4250 4352 4400 4624 4675 4840 4913 4960 5120 5270 5324 5440 5456 5500 5632 5780 5797 5984 6050 6200 6358 6400 6655 6800 6820 7040 7225 7480 7502 7744 7750 7936 8000 8228 8432 8500 8525 8704 8800 8959 9248 9350 9680 9826 9920 10240 10285 10540 10648 10880 10912 11000 11264 11560 11594 11968 12100 12400 12716 12800 13175 13310 13600 13640 14080 14450 14641 14960 15004 15125 15488 15500 15872 15895 16000 16456 16864 17000 17050 17408 17600 17918 18496 18700 18755 19360 19652 19840 20480 20570 21080 21296 21760 21824 22000 22528 22627 23120 23188 23375 23936 24200 24565 24800 25432 25600 26350 26620 27200 27280 28160 28900 28985 29282 29920 30008 30250 30976 31000 31744 31790 32000 32912 33275 33728 34000 34100 34816 34969 35200 35836 36125 36992 37400 37510 38720 39304 39680 41140 41261 42160 42592 42625 43520 43648 44000 44795 45056 45254 46240 46376 46750 47872 48400 49130 49600 50864 51200 51425 52700 53240 54043 54400 54560 56320 57800 57970 58564 59840 60016 60500 61952 62000 63488 63580 63767 64000 65824 65875 66550 67456 68000 68200 69632 69938 70400 71672 72250 73205 73984 74800 75020 77440 78608 79360 79475 82280 82522 84320 85184 85250 87040 87296 88000 89590 90508 92480 92752 93500 93775 95744 96800 98260 98549 99200 101728 102400 102850 105400 106480 108086 108800 109120 112640 113135 115600 115940 117128 119680 120032 121000 122825 123904 124000 126976 127160 127534 128000 131648 131750 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557467055750 562364323840 570846265088 575449864000 577142363600 589717216000 595759859200 597512094080 610530764800 613213761325 616786677760 632994850400 634856599960 639050368000 648688937600 655335845120 669614387200 671583841280 678991016000 696294335440 700893952000 702955404800 713557831360 721427954500 736575825920 738742225408 744699824000 746890117600 763163456000 770983347200 784913614496 790098636800 791243563000 793570749950 810233408512 810861172000 819169806400 830321840128 837017984000 839479801600 857770496000 869108500480 870367919300 878694256000 891947289200 907039232000 920719782400 923427781760 933612647000 943547545600 953215774720 956019350528 963729184000 981142018120 987623296000 1012791760640 1015770559936 1023962258000 1037902300160 1048537352192 1049349752000 1079256219932 1083199744000 1086385625600 1087959899125 1114070936704 1114934111500 1124728647680 1141692530176 1150899728000 1154284727200 1179434432000 1191519718400 1195024188160 1221061529600 1226427522650 1265989700800 1269713199920 1278100736000 1297377875200 1310671690240 1343167682560 1349070274915 1357982032000 1392588670880 1401787904000 1405910809600 1427115662720 1442855909000 1473151651840 1477484450816 1489399648000 1493780235200 1526326912000 1541966694400 1569827228992 1582487126000 1587141499900 1620466817024 1621722344000 1638339612800 1674035968000 1678959603200 1738217000960 1740735838600 1757388512000 1783894578400 1841439564800 1846855563520 1867225294000 1887095091200 1912038701056 1927458368000 1962284036240 1975246592000 1983926874875 2025583521280 2031541119872 2047924516000 2075804600320 2097074704384 2098699504000 2158512439864 2166399488000 2172771251200 2175919798250 2228141873408 2229868223000 2283385060352 2301799456000 2308569454400 2358868864000 2383039436800 2390048376320 2452855045300 2531979401600 2539426399840 2556201472000 2594755750400 2621343380480 2686335365120 2698140549830 2715964064000 2785177341760 2811821619200 2854231325440 2885711818000 2954968901632 2978799296000 2987560470400 3052653824000 3066068806625 3083933388800 3139654457984 3164974252000 3174282999800 3240933634048 3243444688000 3276679225600 3348071936000 3357919206400 3481471677200 3514777024000 3567789156800 3682879129600 3693711127040 3734450588000 3824077402112 3854916736000 3924568072480 3950493184000 3967853749750 4051167042560 4063082239744 4095849032000 4151609200640 4197399008000 4317024879728 4345542502400 4351839596500 4456283746816 4459736446000 4566770120704 4603598912000 4617138908800 4717737728000 4766078873600 4780096752640 4905710090600 5063958803200 5078852799680 5189511500800 5242686760960 5396281099660 5431928128000 5570354683520 5623643238400 5708462650880 5771423636000 5909937803264 5957598592000 5975120940800 6105307648000 6132137613250 6279308915968 6329948504000 6348565999600 6486889376000 6553358451200 6715838412800 6745351374575 6962943354400 7029554048000 7135578313600 7365758259200 7387422254080 7468901176000 7709833472000 7849136144960 7935707499500 8102334085120 8126164479488 8191698064000 8394798016000 8634049759456 8691085004800 8703679193000 8912567493632 8919472892000 9133540241408 9207197824000 9234277817600 9435475456000 9560193505280 9811420181200 10127917606400 10157705599360 10379023001600 10485373521920 10792562199320 10863856256000 11140709367040 11416925301760 11542847272000 11915197184000 11950241881600 12264275226500 12558617831936 12659897008000 12697131999200 12973778752000 13106716902400 13431676825600 13490702749150 13925886708800 14059108096000 14271156627200 14774844508160 14937802352000 15419666944000 15698272289920 15871414999000 16204668170240 16252328958976 16383396128000 16789596032000 17268099518912 17407358386000 17825134987264 17838945784000 18414395648000 18468555635200 19120387010560 19622840362400 20255835212800 20315411198720 20758046003200 21585124398640 21727712512000 22281418734080 22833850603520 23085694544000 23830394368000 23900483763200 24528550453000 25117235663872 25319794016000 25394263998400 25947557504000 26213433804800 26981405498300 27851773417600 28118216192000 28542313254400 29549689016320 29875604704000 31396544579840 31742829998000 32504657917952 32766792256000 33579192064000 33726756872875 34536199037824 34814716772000 35650269974528 35677891568000 36828791296000 36937111270400 39245680724800 40511670425600 40630822397440 43170248797280 43455425024000 44562837468160 45667701207040 46171389088000 47800967526400 49057100906000 50234471327744 50639588032000 50788527996800 51895115008000 52426867609600 53962810996600 55703546835200 57084626508800 59751209408000 62793089159680 63485659996000 65009315835904 65533584512000 67158384128000 67453513745750 69072398075648 69629433544000 71355783136000 73874222540800 78491361449600 81023340851200 81261644794880 86340497594560 89125674936320 92342778176000 95601935052800 98114201812000 100468942655488 101279176064000 101577055993600 103790230016000 107925621993200 111407093670400 114169253017600 119502418816000 125586178319360 126971319992000 131067169024000 134907027491500 138144796151296 139258867088000 142711566272000 147748445081600 156982722899200 162523289589760 172680995189120 178251349872640 184685556352000 196228403624000 202558352128000 203154111987200 215851243986400 222814187340800 228338506035200 239004837632000 251172356638720 253942639984000 262134338048000 269814054983000 276289592302592 278517734176000 285423132544000 313965445798400 325046579179520 345361990378240 369371112704000 392456807248000 405116704256000 406308223974400 431702487972800 445628374681600 478009675264000 502344713277440 507885279968000 539628109966000 552579184605184 557035468352000 570846265088000 627930891596800 690723980756480 738742225408000 784913614496000 812616447948800 863404975945600 891256749363200 1015770559936000 1079256219932000 1105158369210368 1114070936704000 1141692530176000 1255861783193600 1381447961512960 1569827228992000 1625232895897600 1726809951891200 2031541119872000 2158512439864000 2228141873408000 2511723566387200 2762895923025920 3139654457984000 3453619903782400 4063082239744000 4317024879728000 4456283746816000 5525791846051840 6279308915968000 6907239807564800 8126164479488000 8634049759456000 12558617831936000 13814479615129600 17268099518912000 27628959230259200 34536199037824000 69072398075648000 138144796151296000
- Sum of all divisors σ(n): 415940088062753280
- Sum of proper divisors (its aliquot sum) s(n): 277795291911457280
- 138144796151296000 is an abundant number, because the sum of its proper divisors (277795291911457280) is greater than itself. Its abundance is 139650495760161280
Bases of 138144796151296000
- Binary: 1111010101100100111110101110011100010101010110000000000002
- Hexadecimal: 0x1EAC9F5CE2AB000
- Base-36: 11S88R8JJK74
Squares and roots of 138144796151296000
- 138144796151296000 squared (1381447961512960002) is 19083984703683126134122479616000000
- 138144796151296000 cubed (1381447961512960003) is 2636353176644756458169060837154673011982336000000000
-
The
square root of 138144796151296000 is 371678350.3935842641 -
The
cube root of 138144796151296000 is 516945.6001575277
Scales and comparisons
How big is 138144796151296000?- 138,144,796,151,296,000 seconds is equal to 4,392,577,207 years, 36 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,144,796,151,296,000 would take you about thirteen billion, one hundred seventy-seven million, seven hundred thirty-one thousand, six hundred twenty-three 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 138144796151296000 cubic inches would be around 43078.8 feet tall.
Recreational maths with 138144796151296000
- 138144796151296000 backwards is 000692151697441831
- The number of decimal digits it has is: 18
- The sum of 138144796151296000's digits is 67
- More coming soon!
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"Number 138144796151296000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138144796151296000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138144796151296000/
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Numbermatics. 2024. "Number 138144796151296000 - Facts about the integer". https://numbermatics.com/n/138144796151296000/
The information we have on file for 138144796151296000 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!
Keywords: Divisors of 138144796151296000, math, Factors of 138144796151296000, curriculum, school, college, exams, university, Prime factorization of 138144796151296000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-four trillion, seven hundred ninety-six billion, one hundred fifty-one million, two hundred ninety-six thousand.