13838127264000
13,838,127,264,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13838127264000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
13838127264000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13838127264000:
28 × 33 × 53 × 13 × 89 × 109 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 89 × 109 × 127)See below for interesting mathematical facts about the number 13838127264000 from the Numbermatics database.
Names of 13838127264000
- Cardinal: 13838127264000 can be written as Thirteen trillion, eight hundred thirty-eight billion, one hundred twenty-seven million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.3838127264 × 1013
Factors of 13838127264000
Divisors of 13838127264000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 89 90 96 100 104 108 109 117 120 125 127 128 130 135 144 150 156 160 178 180 192 195 200 208 216 218 225 234 240 250 254 256 260 267 270 288 300 312 320 325 327 351 356 360 375 381 384 390 400 416 432 436 445 450 468 480 500 508 520 534 540 545 576 585 600 624 635 640 650 654 675 702 712 720 750 762 768 780 800 801 832 864 872 890 900 936 960 975 981 1000 1016 1040 1068 1080 1090 1125 1143 1152 1157 1170 1200 1248 1270 1280 1300 1308 1335 1350 1404 1417 1424 1440 1500 1524 1560 1600 1602 1625 1635 1651 1664 1728 1744 1755 1780 1800 1872 1905 1920 1950 1962 2000 2032 2080 2136 2160 2180 2225 2250 2286 2304 2314 2340 2400 2403 2496 2540 2600 2616 2670 2700 2725 2808 2834 2848 2880 2925 2943 3000 3048 3120 3175 3200 3204 3250 3270 3302 3328 3375 3429 3456 3471 3488 3510 3560 3600 3744 3810 3840 3900 3924 4000 4005 4064 4160 4251 4272 4320 4360 4450 4500 4572 4628 4680 4800 4806 4875 4905 4953 4992 5080 5200 5232 5340 5400 5450 5616 5668 5696 5715 5760 5785 5850 5886 6000 6096 6240 6350 6400 6408 6500 6540 6604 6675 6750 6858 6912 6942 6976 7020 7085 7120 7200 7488 7620 7800 7848 8000 8010 8128 8175 8255 8320 8502 8544 8640 8720 8775 8900 9000 9144 9256 9360 9525 9600 9612 9701 9750 9810 9906 9984 10160 10400 10413 10464 10680 10800 10900 11125 11232 11303 11336 11392 11430 11520 11570 11700 11772 12000 12015 12192 12480 12700 12753 12816 13000 13080 13208 13350 13500 13625 13716 13843 13884 13952 14040 14170 14240 14400 14625 14715 14859 14976 15240 15600 15696 15875 16000 16020 16256 16350 16510 16640 17004 17088 17145 17280 17355 17440 17550 17800 18000 18288 18512 18720 19050 19200 19224 19402 19500 19620 19812 20025 20320 20800 20826 20928 21255 21360 21600 21800 22250 22464 22606 22672 22784 22860 23140 23400 23544 24000 24030 24384 24525 24765 24960 25400 25506 25632 26000 26160 26416 26700 27000 27250 27432 27686 27768 27904 28080 28340 28480 28575 28800 28925 29103 29250 29430 29718 29952 30480 31200 31239 31392 31750 32000 32040 32512 32700 33020 33375 33909 34008 34176 34290 34560 34710 34880 35100 35425 35600 36000 36576 37024 37440 38100 38259 38448 38804 39000 39240 39624 40050 40640 40875 41275 41529 41600 41652 41856 42510 42720 43200 43600 43875 44500 44577 44928 45212 45344 45720 46280 46800 47088 47625 48000 48060 48505 48768 49050 49530 49920 50800 51012 51264 52000 52065 52320 52832 53400 54000 54500 54864 55372 55536 56160 56515 56680 56960 57150 57600 57850 58206 58500 58860 59436 60075 60960 62400 62478 62784 63500 63765 64080 65400 66040 66750 67818 68016 68352 68580 69215 69420 69760 70200 70850 71200 72000 73152 73575 74048 74295 74880 76200 76518 76896 77608 78000 78480 79248 80100 81280 81750 82550 83058 83200 83304 83712 85020 85440 85725 86400 86775 87200 87309 87750 89000 89154 89856 90424 90688 91440 92560 93600 94176 95250 96000 96120 97010 97536 98100 99060 100125 101600 101727 102024 102528 104000 104130 104640 105664 106275 106800 108000 109000 109728 110744 111072 112320 113030 113360 113920 114300 115700 116412 117000 117720 118872 120150 121920 122625 123825 124587 124800 124956 125568 126113 127000 127530 128160 130800 132080 133500 135636 136032 137160 138430 138840 139520 140400 141700 142400 142875 144000 144625 145515 146304 146939 147150 148096 148590 149760 152400 153036 153792 155216 156000 156195 156960 158496 160200 162560 163500 165100 166116 166608 169545 170040 170880 171450 172800 173550 174400 174618 175500 177125 178000 178308 179959 180848 181376 182880 185120 187200 188352 190500 191295 192240 194020 196200 198120 200250 203200 203454 204048 205056 206375 207645 208000 208260 209280 211328 212550 213600 216000 218000 219456 221488 222144 222885 224640 226060 226720 228600 231400 232824 234000 235440 237744 240300 242525 243840 245250 247650 249174 249600 249912 251136 252226 254000 255060 256320 260325 261600 261927 264160 267000 271272 272064 274320 276860 277680 280800 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685800 692150 694200 697600 698472 702000 708500 712000 713232 719836 723392 727575 731520 734695 735750 740480 742950 747522 748800 753408 756678 762000 765180 768960 776080 780975 784800 792480 801000 812800 813816 816192 825500 830580 833040 847725 850200 854400 857250 864000 867750 872000 873090 877824 881634 885952 888576 891540 899795 904240 906880 914400 925600 931296 936000 941760 950976 956475 961200 970100 981000 990600 996696 999648 1008904 1016000 1017270 1020240 1025280 1038225 1041300 1046400 1047708 1056640 1062750 1068000 1079754 1085088 1088256 1097280 1107440 1110720 1114425 1123200 1130300 1133600 1135017 1143000 1157000 1164120 1175512 1177200 1188720 1201500 1212625 1219200 1220724 1224288 1232027 1238250 1241728 1245870 1248000 1249560 1255680 1261130 1267968 1275300 1281600 1301625 1308000 1309635 1320800 1322451 1328928 1332864 1356360 1360320 1371600 1384300 1388400 1396944 1404000 1412875 1417000 1424000 1426464 1439672 1446784 1455150 1463040 1469390 1471500 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3114675 3123900 3139200 3152825 3169920 3188250 3204000 3239262 3255264 3264768 3302000 3322320 3332160 3390900 3400800 3405051 3429000 3460750 3471000 3488000 3492360 3526536 3543808 3566160 3599180 3616960 3637875 3657600 3673475 3696081 3702400 3714750 3725184 3737610 3744000 3767040 3783390 3803904 3825900 3844800 3880400 3904875 3924000 3962400 3967353 3986784 3998592 4035616 4064000 4069080 4080960 4152900 4165200 4190832 4238625 4251000 4272000 4319016 4340352 4365450 4389120 4408170 4429760 4442880 4457700 4498975 4521200 4534400 4540068 4572000 4628000 4656480 4702048 4708800 4754880 4782375 4806000 4850500 4858893 4882896 4897152 4928108 4953000 4983480 4998240 5044520 5086350 5101200 5126400 5191125 5206500 5232000 5238540 5283200 5289804 5315712 5398770 5425440 5441280 5486400 5537200 5553600 5572125 5587776 5616000 5651500 5668000 5675085 5705856 5758688 5820600 5877560 5886000 5943600 5980176 6053424 6096000 6103620 6121440 6160135 6208640 6229350 6247800 6278400 6305650 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12813080800 12957048000 13305891600 13620204000 13838127264 14106144000 14192951040 14414715900 14784324000 15375696960 15548457600 15869412000 16016351000 16632364500 17276064000 17297659080 17741188800 18018394875 18160272000 18450836352 19219621200 19435572000 19712432000 20500929280 21159216000 21289426560 21622073850 21792326400 22176486000 23063545440 23654918400 24024526500 25391059200 25626161600 25914096000 26611783200 27240408000 27676254528 28829431800 29568648000 30751393920 31096915200 31738824000 32032702000 33264729000 34595318160 35482377600 36036789750 36320544000 36901672704 38439242400 38871144000 39424864000 42318432000 42578853120 43244147700 44352972000 46127090880 48049053000 51252323200 51828192000 53223566400 54055184625 54480816000 55352509056 57658863600 59137296000 61502787840 63477648000 64065404000 66529458000 69190636320 70964755200 72073579500 76878484800 77742288000 86488295400 88705944000 92254181760 96098106000 102504646400 106447132800 108110369250 108961632000 110705018112 115317727200 118274592000 126955296000 128130808000 133058916000 138381272640 144147159000 153756969600 155484576000 172976590800 177411888000 184508363520 192196212000 212894265600 216220738500 230635454400 256261616000 266117832000 276762545280 288294318000 307513939200 345953181600 354823776000 384392424000 432441477000 461270908800 512523232000 532235664000 553525090560 576588636000 691906363200 768784848000 864882954000 922541817600 1064471328000 1153177272000 1383812726400 1537569696000 1729765908000 2306354544000 2767625452800 3459531816000 4612709088000 6919063632000 13838127264000
- Sum of all divisors σ(n): 56569024512000
- Sum of proper divisors (its aliquot sum) s(n): 42730897248000
- 13838127264000 is an abundant number, because the sum of its proper divisors (42730897248000) is greater than itself. Its abundance is 28892769984000
Bases of 13838127264000
- Binary: 110010010101111100001010100011110001000000002
- Hexadecimal: 0xC95F0A8F100
- Base-36: 4WL5BOLC0
Squares and roots of 13838127264000
- 13838127264000 squared (138381272640002) is 191493766174660125696000000
- 13838127264000 cubed (138381272640003) is 2649915106587605271327484575744000000000
-
The
square root of 13838127264000 is 3719963.3417548619 -
The
cube root of 13838127264000 is 24008.1727166301
Scales and comparisons
How big is 13838127264000?- 13,838,127,264,000 seconds is equal to 440,009 years, 33 weeks, 3 days.
-
To count from 1 to 13,838,127,264,000 would take you about one million, one hundred thousand and twenty-four 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 13838127264000 cubic inches would be around 2000.7 feet tall.
Recreational maths with 13838127264000
- 13838127264000 backwards is 00046272183831
- 13838127264000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13838127264000's digits is 45
- More coming soon!
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"Number 13838127264000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13838127264000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13838127264000/
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The information we have on file for 13838127264000 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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