231378638438400
231,378,638,438,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 231378638438400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
231378638438400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 231378638438400:
215 × 3 × 52 × 312 × 3132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 31 × 313 × 313)See below for interesting mathematical facts about the number 231378638438400 from the Numbermatics database.
Names of 231378638438400
- Cardinal: 231378638438400 can be written as Two hundred thirty-one trillion, three hundred seventy-eight billion, six hundred thirty-eight million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.313786384384 × 1014
Factors of 231378638438400
Divisors of 231378638438400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 313 320 372 384 400 465 480 496 512 600 620 626 640 744 768 775 800 930 939 960 961 992 1024 1200 1240 1252 1280 1488 1536 1550 1565 1600 1860 1878 1920 1922 1984 2048 2325 2400 2480 2504 2560 2883 2976 3072 3100 3130 3200 3720 3756 3840 3844 3968 4096 4650 4695 4800 4805 4960 5008 5120 5766 5952 6144 6200 6260 6400 7440 7512 7680 7688 7825 7936 8192 9300 9390 9600 9610 9703 9920 10016 10240 11532 11904 12288 12400 12520 12800 14415 14880 15024 15360 15376 15650 15872 16384 18600 18780 19200 19220 19406 19840 20032 20480 23064 23475 23808 24025 24576 24800 25040 25600 28830 29109 29760 30048 30720 30752 31300 31744 32768 37200 37560 38400 38440 38812 39680 40064 40960 46128 46950 47616 48050 48515 49152 49600 50080 51200 57660 58218 59520 60096 61440 61504 62600 63488 72075 74400 75120 76800 76880 77624 79360 80128 81920 92256 93900 95232 96100 97030 97969 98304 99200 100160 102400 115320 116436 119040 120192 122880 123008 125200 126976 144150 145545 148800 150240 153600 153760 155248 158720 160256 163840 184512 187800 190464 192200 194060 195938 198400 200320 204800 230640 232872 238080 240384 242575 245760 246016 250400 253952 288300 291090 293907 297600 300480 300793 307200 307520 310496 317440 320512 369024 375600 380928 384400 388120 391876 396800 400640 409600 461280 465744 476160 480768 485150 489845 491520 492032 500800 507904 576600 582180 587814 595200 600960 601586 614400 615040 620992 634880 641024 727725 738048 751200 761856 768800 776240 783752 793600 801280 819200 902379 922560 931488 952320 961536 970300 979690 984064 1001600 1015808 1153200 1164360 1175628 1190400 1201920 1203172 1228800 1230080 1241984 1269760 1282048 1455450 1469535 1476096 1502400 1503965 1523712 1537600 1552480 1567504 1587200 1602560 1804758 1845120 1862976 1904640 1923072 1940600 1959380 1968128 2003200 2306400 2328720 2351256 2380800 2403840 2406344 2449225 2457600 2460160 2483968 2539520 2564096 2910900 2939070 2952192 3004800 3007930 3037039 3047424 3075200 3104960 3135008 3174400 3205120 3609516 3690240 3725952 3809280 3846144 3881200 3918760 3936256 4006400 4511895 4612800 4657440 4702512 4761600 4807680 4812688 4898450 4920320 4967936 5079040 5128192 5821800 5878140 5904384 6009600 6015860 6074078 6150400 6209920 6270016 6348800 6410240 7219032 7347675 7380480 7451904 7519825 7618560 7692288 7762400 7837520 7872512 8012800 9023790 9111117 9225600 9314880 9405024 9523200 9615360 9625376 9796900 9840640 9935872 10256384 11643600 11756280 11808768 12019200 12031720 12148156 12300800 12419840 12540032 12697600 12820480 14438064 14695350 14760960 14903808 15039650 15185195 15237120 15384576 15524800 15675040 15745024 16025600 18047580 18222234 18451200 18629760 18810048 19046400 19230720 19250752 19593800 19681280 19871744 22559475 23287200 23512560 23617536 24038400 24063440 24296312 24601600 24839680 25080064 25395200 25640960 28876128 29390700 29521920 29807616 30079300 30370390 30769152 31049600 31350080 31490048 32051200 36095160 36444468 36902400 37259520 37620096 38092800 38461440 38501504 39187600 39362560 39743488 45118950 45555585 46574400 47025120 47235072 48076800 48126880 48592624 49203200 49679360 50160128 51281920 57752256 58781400 59043840 59615232 60158600 60740780 62099200 62700160 64102400 72190320 72888936 73804800 74519040 75240192 75925975 76185600 76922880 77003008 78375200 78725120 79486976 90237900 91111170 93148800 94050240 94148209 94470144 96153600 96253760 97185248 98406400 99358720 100320256 115504512 117562800 118087680 119230464 120317200 121481560 124198400 125400320 128204800 144380640 145777872 147609600 149038080 150480384 151851950 153845760 154006016 156750400 157450240 158973952 180475800 182222340 186297600 188100480 188296418 192307200 192507520 194370496 196812800 198717440 200640512 227777925 231009024 235125600 236175360 238460928 240634400 242963120 248396800 250800640 256409600 282444627 288761280 291555744 295219200 298076160 300960768 303703900 308012032 313500800 317947904 360951600 364444680 372595200 376200960 376592836 384614400 385015040 388740992 393625600 397434880 401281024 455555850 462018048 470251200 470741045 472350720 476921856 481268800 485926240 496793600 501601280 564889254 577522560 583111488 590438400 596152320 601921536 607407800 616024064 627001600 721903200 728889360 745190400 752401920 753185672 769228800 770030080 777481984 787251200 794869760 802562048 911111700 924036096 940502400 941482090 953843712 962537600 971852480 993587200 1003202560 1129778508 1155045120 1166222976 1180876800 1192304640 1203843072 1214815600 1232048128 1254003200 1412223135 1443806400 1457778720 1490380800 1504803840 1506371344 1540060160 1554963968 1589739520 1605124096 1822223400 1848072192 1881004800 1882964180 1925075200 1943704960 1987174400 2006405120 2259557016 2310090240 2332445952 2353705225 2361753600 2384609280 2407686144 2429631200 2464096256 2508006400 2824446270 2887612800 2915557440 2980761600 3009607680 3012742688 3080120320 3109927936 3210248192 3644446800 3696144384 3762009600 3765928360 3850150400 3887409920 3974348800 4012810240 4519114032 4620180480 4664891904 4707410450 4769218560 4815372288 4859262400 4928192512 5016012800 5648892540 5775225600 5831114880 5961523200 6019215360 6025485376 6160240640 6219855872 7061115675 7288893600 7392288768 7524019200 7531856720 7700300800 7774819840 7948697600 8025620480 9038228064 9240360960 9329783808 9414820900 9630744576 9718524800 9856385024 10032025600 11297785080 11550451200 11662229760 11923046400 12038430720 12050970752 12320481280 12439711744 14122231350 14577787200 14784577536 15048038400 15063713440 15400601600 15549639680 16051240960 18076456128 18480721920 18659567616 18829641800 19437049600 20064051200 22595570160 23100902400 23324459520 23846092800 24076861440 24101941504 24640962560 24879423488 28244462700 29155574400 29569155072 30096076800 30127426880 30801203200 31099279360 36152912256 36961443840 37319135232 37659283600 38874099200 40128102400 45191140320 46201804800 46648919040 48153722880 48203883008 49281925120 49758846976 56488925400 58311148800 60192153600 60254853760 61602406400 62198558720 72305824512 73922887680 74638270464 75318567200 77748198400 80256204800 90382280640 92403609600 93297838080 96407766016 99517693952 112977850800 116622297600 120384307200 120509707520 123204812800 124397117440 144611649024 147845775360 149276540928 150637134400 155496396800 180764561280 184807219200 186595676160 192815532032 225955701600 233244595200 240768614400 241019415040 246409625600 248794234880 289223298048 298553081856 301274268800 310992793600 361529122560 369614438400 373191352320 385631064064 451911403200 466489190400 482038830080 497588469760 578446596096 602548537600 621985587200 723058245120 739228876800 746382704640 771262128128 903822806400 932978380800 964077660160 1156893192192 1205097075200 1243971174400 1446116490240 1492765409280 1542524256256 1807645612800 1865956761600 1928155320320 2313786384384 2410194150400 2487942348800 2892232980480 3085048512512 3615291225600 3731913523200 3856310640640 4627572768768 4820388300800 5784465960960 7230582451200 7463827046400 7712621281280 9255145537536 9640776601600 11568931921920 14461164902400 15425242562560 19281553203200 23137863843840 28922329804800 38563106406400 46275727687680 57844659609600 77126212812800 115689319219200 231378638438400
- Sum of all divisors σ(n): 793090306700460
- Sum of proper divisors (its aliquot sum) s(n): 561711668262060
- 231378638438400 is an abundant number, because the sum of its proper divisors (561711668262060) is greater than itself. Its abundance is 330333029823660
Bases of 231378638438400
- Binary: 1101001001110000000010011000110110000000000000002
- Hexadecimal: 0xD270098D8000
- Base-36: 2A0LVNB1MO
Squares and roots of 231378638438400
- 231378638438400 squared (2313786384384002) is 53536074325607833990594560000
- 231378638438400 cubed (2313786384384003) is 12387103984796124135220348524485935104000000
-
The
square root of 231378638438400 is 15211135.3435041133 -
The
cube root of 231378638438400 is 61391.4305821385
Scales and comparisons
How big is 231378638438400?- 231,378,638,438,400 seconds is equal to 7,357,125 years, 10 hours, 40 minutes.
-
To count from 1 to 231,378,638,438,400 would take you about eighteen million, three hundred ninety-two thousand, eight hundred twelve 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 231378638438400 cubic inches would be around 5116 feet tall.
Recreational maths with 231378638438400
- 231378638438400 backwards is 004834836873132
- 231378638438400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 231378638438400's digits is 60
- More coming soon!
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The information we have on file for 231378638438400 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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