138073104915200
138,073,104,915,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138073104915200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1620 divisors.
138073104915200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138073104915200:
28 × 52 × 7 × 134 × 29 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 13 × 13 × 29 × 61 × 61)See below for interesting mathematical facts about the number 138073104915200 from the Numbermatics database.
Names of 138073104915200
- Cardinal: 138073104915200 can be written as One hundred thirty-eight trillion, seventy-three billion, one hundred four million, nine hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.380731049152 × 1014
Factors of 138073104915200
Divisors of 138073104915200
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 50 52 56 58 61 64 65 70 80 91 100 104 112 116 122 128 130 140 145 160 169 175 182 200 203 208 224 232 244 256 260 280 290 305 320 325 338 350 364 377 400 406 416 427 448 455 464 488 520 560 580 610 640 650 676 700 725 728 754 793 800 812 832 845 854 896 910 928 976 1015 1040 1120 1160 1183 1220 1280 1300 1352 1400 1450 1456 1508 1525 1586 1600 1624 1664 1690 1708 1769 1792 1820 1856 1885 1952 2030 2080 2135 2197 2240 2275 2320 2366 2440 2600 2639 2704 2800 2900 2912 3016 3050 3172 3200 3248 3328 3380 3416 3538 3640 3712 3721 3770 3904 3965 4060 4160 4225 4270 4394 4480 4550 4640 4732 4880 4901 5075 5200 5278 5408 5551 5600 5800 5824 5915 6032 6100 6344 6400 6496 6760 6832 7076 7280 7424 7442 7540 7808 7930 8120 8320 8450 8540 8788 8845 8960 9100 9280 9425 9464 9760 9802 10150 10309 10400 10556 10675 10816 10985 11102 11200 11600 11648 11830 12064 12200 12383 12688 12992 13195 13520 13664 14152 14560 14884 15080 15379 15616 15860 16240 16640 16900 17080 17576 17690 18200 18560 18605 18850 18928 19520 19604 19825 20300 20618 20800 21112 21350 21632 21970 22204 22400 22997 23200 23296 23660 24128 24400 24505 24766 25376 25984 26047 26390 27040 27328 27755 28304 28561 29120 29575 29768 30160 30758 31720 32480 33800 34160 34307 35152 35380 36400 37120 37210 37700 37856 39040 39208 39650 40600 41236 41600 42224 42700 43264 43940 44225 44408 44800 45994 46400 47320 48256 48373 48800 49010 49532 50752 51545 51968 52094 52780 54080 54656 54925 55510 56608 57122 58240 59150 59536 60320 61516 61915 63440 63713 64960 65975 67600 68320 68614 70304 70760 72163 72800 74420 75400 75712 76895 78080 78416 79300 81200 82472 83200 84448 85400 87880 88450 88816 91988 92800 93025 94640 96512 96746 97600 98020 99064 101504 103090 104188 105560 107909 108160 109312 109850 111020 113216 114244 114985 116480 118300 119072 120640 122525 123032 123830 126880 127426 129920 130235 131950 134017 135200 136640 137228 138775 140608 141520 142805 144326 145600 148840 150800 151424 153790 156832 158600 160979 162400 164944 168896 170800 171535 175760 176900 177632 183976 185600 186050 189280 193492 195200 196040 198128 199927 203008 206180 208376 211120 215818 216320 219700 222040 226432 228488 229970 236600 238144 241280 241865 245050 246064 247660 253760 254852 257725 259840 260470 263900 268034 270400 273280 274456 277550 281216 283040 285610 288652 291200 297680 298961 301600 302848 307580 309575 313664 317200 318565 321958 324800 329888 337792 338611 341600 343070 351520 353800 355264 360815 367952 372100 378560 384475 386984 390400 392080 396256 399854 412360 416752 422240 431636 439400 444080 445991 452864 456976 459940 473200 476288 482560 483730 490100 492128 495320 507520 509704 515450 520940 527800 536068 539545 540800 546560 548912 555100 562432 566080 571220 574925 577304 582400 595360 597922 603200 615160 619150 627328 628849 634400 637130 643916 649600 651175 659776 670085 675584 677222 683200 686140 703040 707600 710528 714025 721630 735904 744200 755363 757120 768950 773968 784160 792512 799708 804895 824720 828269 833504 844480 857675 863272 878800 888160 891982 913952 919880 938119 946400 952576 967460 980200 984256 990640 999635 1015040 1019408 1030900 1041880 1055600 1072136 1079090 1081600 1097824 1110200 1132160 1142440 1149850 1154608 1190720 1195844 1206400 1209325 1230320 1238300 1254656 1257698 1268800 1274260 1287832 1299200 1302350 1319552 1340170 1354444 1366400 1372280 1402817 1406080 1415200 1421056 1428050 1443260 1471808 1488400 1494805 1510726 1514240 1537900 1547936 1568320 1585024 1592825 1599416 1609790 1649440 1656538 1667008 1688960 1693055 1715350 1726544 1742221 1757600 1776320 1783964 1804075 1827904 1839760 1876238 1892800 1934920 1960400 1968512 1981280 1999270 2038816 2061800 2083760 2092727 2111200 2144272 2158180 2195648 2220400 2229955 2264320 2284880 2299700 2309216 2381440 2391688 2412800 2418650 2460640 2476600 2515396 2537600 2548520 2575664 2604700 2639104 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8444800 8465275 8577088 8632720 8711105 8782592 8803886 8881600 8919820 9139520 9198800 9236864 9381190 9566752 9674600 9819719 9842560 9906400 9996350 10061584 10194080 10302656 10418800 10463635 10721360 10790900 10835552 10978240 11149775 11222536 11321600 11424400 11546080 11595766 11907200 11958440 12085808 12195547 12303200 12383488 12576980 12742600 12795328 12878320 13195520 13252304 13401700 13544440 13722800 13812352 13937768 14028170 14060800 14271712 14432600 14718080 14948050 15009904 15107260 15479360 15545972 15683200 15721225 15850240 15994160 16097900 16310528 16350074 16494400 16565380 16670080 16741816 16889600 16930550 17154176 17265440 17422210 17607772 17763200 17839640 18236621 18279040 18397600 18473728 18762380 18884075 19133504 19349200 19432465 19639438 19685120 19812800 19992700 20123168 20388160 20605312 20706725 20837600 20927270 21442720 21581800 21671104 21956480 22009715 22299550 22445072 22848800 23092160 23191532 23452975 23814400 23916880 24171616 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72946484 73590400 75049520 75536300 76534016 77396800 77729860 78557752 79251200 79970800 80492672 81552640 81750370 82826900 83350400 83709080 85770880 86327200 86684416 87111050 88038860 89198200 89780288 91183105 91395200 92368640 92766128 93811900 95667520 96686464 97162325 97564376 98197190 98425600 100615840 101048818 101940800 103026560 104636350 106018432 106275481 107213600 108355520 108821804 109782400 110048575 111502144 112225360 114173696 114450518 115460800 115957660 119584400 120079232 120858080 121955470 124367776 125769800 127656347 127953280 128783200 130800592 132523040 133934528 135444400 136027255 138123520 139377680 140281700 140862176 142717120 144947075 145892968 147180800 150099040 151072600 154793600 155459720 157115504 159941600 160985344 163500740 165653800 166700800 167418160 171541760 172654400 174222100 176077720 178396400 179560576 182366210 182790400 185532256 187623800 191335040 193372928 194324650 195128752 196394380 201231680 202097636 203881600 204375925 206053120 209272700 212036864 212550962 214427200 216711040 217643608 219564800 220097150 223004288 224450720 228901036 230921600 231915320 237076073 239168800 240158464 241716160 243910940 245492975 248735552 251539600 252622045 255312694 255906560 257566400 261601184 265046080 267869056 270888800 272054510 278755360 280563400 281724352 285434240 286126295 289894150 291785936 300198080 302145200 304888675 309587200 310919440 314231008 319883200 327001480 331307600 334836320 345308800 348444200 352155440 353670863 356792800 359121152 364732420 371064512 375247600 382670080 388649300 390257504 392788760 402463360 404195272 407763200 408751850 418545400 425101924 428854400 433422080 435287216 440194300 446008576 448901440 455915525 457802072 461843200 463830640 474152146 478337600 483432320 487821880 490985950 497471104 503079200 505244090 510625388 515132800 523202368 530092160 531377405 535738112 541777600 544109020 557510720 561126800 563448704 570868480 572252590 579788300 583571872 600396160 604290400 609777350 621838880 628462016 638281735 639766400 654002960 662615200 669672640 680136275 690617600 696888400 704310880 707341726 713585600 729464840 742129024 743928367 750495200 777298600 780515008 785577520 804926720 808390544 817503700 837090800 850203848 857708800 870574432 880388600 897802880 911831050 915604144 927661280 948304292 956675200 966864640 975643760 981971900 994942208 1006158400 1010488180 1021250776 1030265600 1046404736 1060184320 1062754810 1083555200 1088218040 1115021440 1122253600 1126897408 1144505180 1159576600 1167143744 1185380365 1200792320 1208580800 1219554700 1243677760 1256924032 1263110225 1276563470 1279532800 1308005920 1325230400 1339345280 1360272550 1393776800 1408621760 1414683452 1427171200 1430631475 1458929680 1484258048 1487856734 1500990400 1554597200 1561030016 1571155040 1616781088 1635007400 1659532511 1674181600 1700407696 1741148864 1760777200 1768354315 1795605760 1823662100 1831208288 1855322560 1896608584 1913350400 1951287520 1963943800 2012316800 2020976360 2042501552 2092809472 2125509620 2167110400 2176436080 2230042880 2244507200 2289010360 2319153200 2334287488 2370760730 2417161600 2439109400 2487355520 2513848064 2526220450 2553126940 2616011840 2650460800 2656887025 2678690560 2720545100 2787553600 2817243520 2829366904 2854342400 2861262950 2917859360 2975713468 3001980800 3081988949 3109194400 3122060032 3142310080 3191408675 3233562176 3270014800 3319065022 3348363200 3400815392 3482297728 3521554400 3536708630 3647324200 3662416576 3710645120 3719641835 3793217168 3902575040 3927887600 4024633600 4041952720 4085003104 4251019240 4352872160 4489014400 4578020720 4638306400 4668574976 4741521460 4834323200 4878218800 4974711040 5052440900 5106253880 5232023680 5300921600 5313774050 5441090200 5575107200 5634487040 5658733808 5722525900 5835718720 5926901825 5951426936 6003961600 6163977898 6218388800 6284620160 6382817350 6467124352 6540029600 6638130044 6696726400 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32335621760 32680024832 33190650220 34008153920 34822977280 35367086300 36624165760 37106451200 37196418350 37932171680 39025750400 40419527200 40850031040 41488312775 42510192400 43147845286 43528721600 45269870464 45780207200 47415214600 47611415488 49311823184 51062538800 52320236800 53105040352 56587338080 58357187200 59514269360 60691474688 61639778980 62846201600 64671243520 66381300440 68016307840 70734172600 73248331520 74392836700 75864343360 77049723725 78051500800 80839054400 81700062080 82976625550 85020384800 86295690572 87057443200 90539740928 91560414400 94830429200 95222830976 98623646368 102125077600 106210080704 107869613215 113174676160 116714374400 119028538720 123279557960 132762600880 136032615680 141468345200 148785673400 151728686720 154099447450 161678108800 163400124160 165953251100 170040769600 172591381144 174114886400 183120828800 189660858400 190445661952 197247292736 204250155200 212420161408 215739226430 226349352320 238057077440 246559115920 265525201760 282936690400 297571346800 303457373440 308198894900 323356217600 331906502200 340081539200 345182762288 366241657600 379321716800 394494585472 408500310400 424840322816 431478452860 452698704640 476114154880 493118231840 531050403520 539348066075 565873380800 595142693600 616397789800 663813004400 680163078400 690365524576 758643433600 788989170944 817000620800 862956905720 952228309760 986236463680 1062100807040 1078696132150 1131746761600 1190285387200 1232795579600 1327626008800 1380731049152 1517286867200 1725913811440 1972472927360 2124201614080 2157392264300 2263493523200 2380570774400 2465591159200 2655252017600 2761462098304 3451827622880 3944945854720 4314784528600 4761141548800 4931182318400 5310504035200 5522924196608 6903655245760 8629569057200 9862364636800 10621008070400 13807310491520 17259138114400 19724729273600 27614620983040 34518276228800 69036552457600 138073104915200
- Sum of all divisors σ(n): 445004623037520
- Sum of proper divisors (its aliquot sum) s(n): 306931518122320
- 138073104915200 is an abundant number, because the sum of its proper divisors (306931518122320) is greater than itself. Its abundance is 168858413207120
Bases of 138073104915200
- Binary: 111110110010011101001100101111100011011000000002
- Hexadecimal: 0x7D93A65F1B00
- Base-36: 1CXXWPQ328
Squares and roots of 138073104915200
- 138073104915200 squared (1380731049152002) is 19064182300923826399191040000
- 138073104915200 cubed (1380731049152003) is 2632250842957954420298935902327799808000000
-
The
square root of 138073104915200 is 11750451.2643217239 -
The
cube root of 138073104915200 is 51685.6160470851
Scales and comparisons
How big is 138073104915200?- 138,073,104,915,200 seconds is equal to 4,390,297 years, 33 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,073,104,915,200 would take you about ten million, nine hundred seventy-five thousand, seven hundred forty-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 138073104915200 cubic inches would be around 4307.1 feet tall.
Recreational maths with 138073104915200
- 138073104915200 backwards is 002519401370831
- The number of decimal digits it has is: 15
- The sum of 138073104915200's digits is 44
- More coming soon!
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"Number 138073104915200 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138073104915200 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138073104915200/
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The information we have on file for 138073104915200 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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