138357223200
138,357,223,200 is an even composite number composed of six prime numbers multiplied together.
138357223200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138357223200:
25 × 33 × 52 × 72 × 61 × 2143
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 61 × 2143)See below for interesting mathematical facts about the number 138357223200 from the Numbermatics database.
Names of 138357223200
- Cardinal: 138357223200 can be written as One hundred thirty-eight billion, three hundred fifty-seven million, two hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.383572232 × 1011
Factors of 138357223200
Divisors of 138357223200
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 61 63 70 72 75 80 84 90 96 98 100 105 108 112 120 122 126 135 140 144 147 150 160 168 175 180 183 189 196 200 210 216 224 225 240 244 245 252 270 280 288 294 300 305 315 336 350 360 366 378 392 400 420 427 432 441 450 480 488 490 504 525 540 549 560 588 600 610 630 672 675 700 720 732 735 756 784 800 840 854 864 882 900 915 945 976 980 1008 1050 1080 1098 1120 1176 1200 1220 1225 1260 1281 1323 1350 1400 1440 1464 1470 1512 1525 1568 1575 1647 1680 1708 1764 1800 1830 1890 1952 1960 2016 2100 2135 2143 2160 2196 2205 2352 2400 2440 2450 2520 2562 2646 2700 2745 2800 2928 2940 2989 3024 3050 3150 3294 3360 3416 3528 3600 3660 3675 3780 3843 3920 4200 4270 4286 4320 4392 4410 4575 4704 4725 4880 4900 5040 5124 5292 5400 5490 5600 5856 5880 5978 6048 6100 6300 6405 6429 6588 6615 6832 7056 7200 7320 7350 7560 7686 7840 8235 8400 8540 8572 8784 8820 8967 9150 9450 9760 9800 10080 10248 10584 10675 10715 10800 10980 11025 11529 11760 11956 12200 12600 12810 12858 13176 13230 13664 13725 14112 14640 14700 14945 15001 15120 15372 16470 16800 17080 17144 17568 17640 17934 18300 18900 19215 19287 19600 20496 21168 21350 21430 21600 21960 22050 23058 23520 23912 24400 25200 25620 25716 26352 26460 26901 27450 29280 29400 29890 30002 30240 30744 32025 32145 32940 33075 34160 34288 35280 35868 36600 37800 38430 38574 39200 40992 41175 42336 42700 42860 43920 44100 44835 45003 46116 47824 48800 50400 51240 51432 52704 52920 53575 53802 54900 57645 57861 58800 59780 60004 61488 64050 64290 65880 66150 68320 68576 70560 71736 73200 74725 75005 75600 76860 77148 80703 82350 85400 85720 87840 88200 89670 90006 92232 95648 96075 96435 102480 102864 105007 105840 107150 107604 109800 115290 115722 117600 119560 120008 122976 128100 128580 130723 131760 132300 134505 135009 143472 146400 149450 150010 151200 153720 154296 160725 161406 164700 170800 171440 176400 179340 180012 184464 192150 192870 204960 205728 210014 211680 214300 215208 219600 224175 225015 230580 231444 239120 240016 256200 257160 261446 263520 264600 269010 270018 286944 288225 289305 298900 300020 307440 308592 315021 321450 322812 329400 341600 342880 352800 358680 360024 368928 375025 384300 385740 392169 403515 405027 420028 428600 430416 439200 448350 450030 461160 462888 478240 480032 482175 512400 514320 522892 525035 529200 538020 540036 576450 578610 597800 600040 614880 617184 630042 642900 645624 653615 658800 672525 675045 717360 720048 750050 768600 771480 784338 807030 810054 840056 857200 860832 896700 900060 915061 922320 925776 945063 964350 1024800 1028640 1045784 1050070 1058400 1076040 1080072 1125075 1152900 1157220 1176507 1195600 1200080 1260084 1285800 1291248 1307230 1317600 1345050 1350090 1434720 1440096 1446525 1500100 1537200 1542960 1568676 1575105 1614060 1620108 1680112 1714400 1793400 1800120 1830122 1844640 1851552 1890126 1928700 1960845 2017575 2025135 2091568 2100140 2152080 2160144 2250150 2305800 2314440 2353014 2391200 2400160 2520168 2571600 2582496 2614460 2625175 2690100 2700180 2745183 2835189 2893050 3000200 3074400 3085920 3137352 3150210 3228120 3240216 3268075 3360224 3375225 3529521 3586800 3600240 3660244 3780252 3857400 3921690 4035150 4050270 4183136 4200280 4304160 4320288 4500300 4575305 4611600 4628880 4706028 4725315 5040336 5143200 5228920 5250350 5380200 5400360 5490366 5670378 5786100 5882535 6000400 6274704 6300420 6405427 6456240 6480432 6536150 6750450 7059042 7173600 7200480 7320488 7560504 7714800 7843380 7875525 8070300 8100540 8235549 8400560 9000600 9150610 9223200 9257760 9412056 9450630 9804225 10080672 10125675 10457840 10500700 10760400 10800720 10980732 11340756 11572200 11765070 12000800 12549408 12600840 12810854 12912480 12960864 13072300 13500900 13725915 14118084 14175945 14640976 15121008 15429600 15686760 15751050 16140600 16201080 16471098 16801120 17647605 18001200 18301220 18824112 18901260 19216281 19608450 20251350 20915680 21001400 21520800 21601440 21961464 22681512 22876525 23144400 23530140 23626575 24706647 25201680 25621708 26144600 27001800 27451830 28236168 28351890 29281952 29412675 30242016 31373520 31502100 32027135 32281200 32402160 32942196 35295210 36002400 36602440 37648224 37802520 38432562 39216900 40502700 41177745 42002800 43922928 45363024 45753050 46288800 47060280 47253150 49413294 50403360 51243416 52289200 54003600 54903660 56472336 56703780 57648843 58825350 62747040 63004200 64054270 64562400 64804320 65884392 68629575 70590420 70879725 73204880 75605040 76865124 78433800 81005400 82355490 84005600 87845856 88238025 90726048 91506100 94120560 94506300 96081405 98826588 102486832 104578400 108007200 109807320 112944672 113407560 115297686 117650700 123533235 126008400 128108540 131768784 137259150 141180840 141759450 146409760 151210080 153730248 156867600 160135675 162010800 164710980 172946529 176476050 183012200 188241120 189012600 192162810 197653176 204973664 205888725 219614640 226815120 230595372 235301400 247066470 252016800 256217080 263537568 274518300 282361680 283518900 288244215 307460496 313735200 320271350 324021600 329421960 345893058 352952100 366024400 378025200 384325620 395306352 411777450 439229280 453630240 461190744 470602800 480407025 494132940 512434160 549036600 564723360 567037800 576488430 614920992 617666175 640542700 658843920 691786116 705904200 732048800 756050400 768651240 790612704 823554900 864732645 922381488 941205600 960814050 988265880 1024868320 1098073200 1134075600 1152976860 1235332350 1281085400 1317687840 1383572232 1411808400 1441221075 1537302480 1647109800 1729465290 1844762976 1921628100 1976531760 2196146400 2268151200 2305953720 2470664700 2562170800 2767144464 2823616800 2882442150 3074604960 3294219600 3458930580 3843256200 3953063520 4323663225 4611907440 4941329400 5124341600 5534288928 5764884300 6588439200 6917861160 7686512400 8647326450 9223814880 9882658800 11529768600 13835722320 15373024800 17294652900 19765317600 23059537200 27671444640 34589305800 46119074400 69178611600 138357223200
- Sum of all divisors σ(n): 591907115520
- Sum of proper divisors (its aliquot sum) s(n): 453549892320
- 138357223200 is an abundant number, because the sum of its proper divisors (453549892320) is greater than itself. Its abundance is 315192669120
Bases of 138357223200
- Binary: 100000001101101011101110101111001000002
- Hexadecimal: 0x2036BBAF20
- Base-36: 1RK6BGO0
Squares and roots of 138357223200
- 138357223200 squared (1383572232002) is 19142721211614618240000
- 138357223200 cubed (1383572232003) is 2648533751330738168214471168000000
-
The
square root of 138357223200 is 371964.0079362519 -
The
cube root of 138357223200 is 5172.1043577977
Scales and comparisons
How big is 138357223200?- 138,357,223,200 seconds is equal to 4,399 years, 17 weeks, 1 day, 18 hours.
-
To count from 1 to 138,357,223,200 would take you about eight thousand, seven hundred ninety-eight 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 138357223200 cubic inches would be around 431 feet tall.
Recreational maths with 138357223200
- 138357223200 backwards is 002322753831
- 138357223200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138357223200's digits is 36
- More coming soon!
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The information we have on file for 138357223200 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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