138462055054400
138,462,055,054,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138462055054400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1680 divisors.
138462055054400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138462055054400:
26 × 52 × 74 × 11 × 53 × 211 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 53 × 211 × 293)See below for interesting mathematical facts about the number 138462055054400 from the Numbermatics database.
Names of 138462055054400
- Cardinal: 138462055054400 can be written as One hundred thirty-eight trillion, four hundred sixty-two billion, fifty-five million, fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.384620550544 × 1014
Factors of 138462055054400
Divisors of 138462055054400
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 53 55 56 64 70 77 80 88 98 100 106 110 112 140 154 160 175 176 196 200 211 212 220 224 245 265 275 280 293 308 320 343 350 352 371 385 392 400 422 424 440 448 490 530 539 550 560 583 586 616 686 700 704 742 770 784 800 844 848 880 980 1055 1060 1078 1100 1120 1166 1172 1225 1232 1325 1372 1400 1465 1477 1484 1540 1568 1600 1688 1696 1715 1760 1855 1925 1960 2051 2110 2120 2156 2200 2240 2321 2332 2344 2401 2450 2464 2597 2650 2695 2744 2800 2915 2930 2954 2968 3080 3136 3223 3376 3392 3430 3520 3710 3773 3850 3920 4081 4102 4220 4240 4312 4400 4642 4664 4688 4802 4900 4928 5194 5275 5300 5390 5488 5600 5830 5860 5908 5936 6160 6446 6752 6860 7325 7385 7420 7546 7700 7840 8162 8204 8440 8480 8575 8624 8800 9275 9284 9328 9376 9604 9800 10255 10339 10388 10550 10600 10780 10976 11183 11200 11605 11660 11720 11816 11872 12005 12320 12892 12985 13475 13504 13720 14357 14575 14650 14770 14840 15092 15400 15529 15680 16115 16247 16324 16408 16880 16960 17150 17248 17600 18179 18550 18568 18656 18752 18865 19208 19600 20405 20510 20678 20776 21100 21200 21560 21952 22366 22561 23210 23320 23440 23632 23744 24010 24640 25784 25970 26411 26950 27440 28567 28714 29150 29300 29540 29680 30184 30800 31058 32230 32494 32648 32816 33760 34300 34496 36358 36925 37100 37136 37312 37730 38416 39200 40810 41020 41356 41552 42200 42400 43120 44732 45122 46420 46640 46880 47264 48020 51275 51568 51695 51940 52822 53900 54880 55915 57134 57428 58025 58300 58600 59080 59360 60025 60368 61600 61823 62116 64460 64925 64988 65296 65632 67520 68600 71785 72373 72716 73850 74200 74272 75460 76832 77645 78281 78400 80575 81235 81620 82040 82712 83104 84400 84800 86240 89464 90244 90895 92840 93280 93760 94325 94528 96040 100499 102025 102550 103136 103390 103880 105644 107800 108703 109760 111830 112805 113729 114268 114856 116050 116600 117200 118160 118720 120050 120736 123013 123200 123646 124232 127253 128920 129850 129976 130592 131264 132055 137200 142835 143570 144746 145432 147700 148400 148544 150920 153664 155290 156562 157927 161150 162470 163240 164080 165424 166208 168800 170819 172480 178928 180488 181790 185680 186560 188650 192080 199969 200998 204050 205100 206272 206780 207760 211288 215600 217406 223660 225610 227458 228536 229712 232100 233200 234400 236320 240100 241472 246026 247292 248464 254506 257840 258475 259700 259952 261184 264110 274400 279575 285670 287140 289492 290864 295400 296800 301840 309115 310580 313124 315854 322300 324940 326480 328160 330848 337600 341638 357856 358925 360976 361865 363580 371360 377300 384160 388225 391405 399938 401996 406175 408100 410200 413560 415520 422576 431200 432761 434812 447320 451220 454475 454916 457072 459424 464200 466400 468800 472640 480200 492052 494584 496928 502495 506611 509012 515680 516950 519400 519904 528220 543515 547967 548800 559150 564025 568645 571340 574280 578984 581728 590800 593600 603680 615065 618230 621160 626248 631708 636265 644600 649880 652960 656320 660275 661696 680053 683276 703493 714175 715712 717850 721952 723730 727160 742720 754600 760921 768320 776450 782810 789635 796103 799876 803992 812350 816200 820400 827120 831040 845152 854095 861091 862400 865522 869624 894640 902440 908950 909832 914144 918848 928400 932800 960400 984104 989168 993856 999845 1004990 1013222 1018024 1031360 1033900 1038800 1039808 1056440 1087030 1095934 1105489 1118300 1128050 1137290 1142680 1148560 1157968 1163456 1181600 1195733 1207360 1230130 1236460 1242320 1252496 1263416 1272530 1289200 1299760 1305920 1320550 1360106 1366552 1399783 1406986 1428350 1435700 1443904 1447460 1454320 1509200 1521842 1545575 1552900 1565620 1579270 1592206 1599752 1607984 1624700 1632400 1640800 1654240 1690304 1708190 1722182 1731044 1739248 1789280 1804880 1809325 1817900 1819664 1828288 1856800 1920800 1957025 1968208 1978336 1999690 2009980 2026444 2036048 2067800 2077600 2112880 2163805 2174060 2191868 2210978 2236600 2256100 2274580 2285360 2297120 2315936 2363200 2391466 2460260 2472920 2484640 2504992 2512475 2526832 2533055 2545060 2578400 2599520 2641100 2717575 2720212 2733104 2739835 2799566 2813972 2843225 2856700 2871400 2894920 2908640 3018400 3029327 3043684 3075325 3091150 3105800 3131240 3158540 3181325 3184412 3199504 3215968 3249400 3264800 3276619 3281600 3308480 3400265 3416380 3444364 3462088 3478496 3517465 3578560 3609760 3618650 3635800 3639328 3713600 3804605 3835769 3841600 3914050 3936416 3948175 3956672 3980515 3999380 4019960 4052888 4072096 4135600 4155200 4225760 4270475 4305455 4327610 4348120 4383736 4421956 4473200 4512200 4549160 4570720 4594240 4631872 4760371 4782932 4920520 4945840 4969280 4999225 5009984 5024950 5053664 5066110 5090120 5156800 5199040 5282200 5326447 5435150 5440424 5466208 5479670 5527445 5572721 5599132 5627944 5686450 5713400 5742800 5789840 5817280 5978665 6027637 6036800 6058654 6087368 6150650 6182300 6211600 6262480 6317080 6362650 6368824 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346208800 353756480 356654144 360428090 366981328 372851290 380829680 382634560 383576900 385768768 386921150 405288800 410136419 418506550 421934590 424105780 426115760 429606128 438373600 442195600 445817680 447930560 458726660 466516358 468727336 476037100 478293200 482210960 484692320 495259072 504599326 524259040 530132225 532644700 533161552 535688384 537007660 544042400 557272100 559913200 562794400 573408325 576684944 585909170 590708426 593748092 596562064 602763700 605865400 608736800 613723040 619073840 636882400 642217324 655323800 666451940 669610480 671259575 675095344 678569248 688872800 692417600 720856180 733962656 742185115 745702580 761659360 767153800 773842300 802771655 810577600 820272838 833064925 837013100 843869180 848211560 852231520 859212256 876747200 884391200 891635360 901070225 917453320 932128225 933032716 937454672 952074200 956586400 964421920 969384640 1009198652 1048518080 1054836475 1060264450 1065289400 1066323104 1074015320 1088084800 1114544200 1119826400 1123880317 1125588800 1146816650 1153369888 1166290895 1171818340 1181416852 1187496184 1193124128 1205527400 1211730800 1217473600 1227446080 1238147680 1261498315 1273764800 1284434648 1310647600 1332903880 1339220960 1342519150 1350190688 1357138496 1377745600 1441712360 1464772925 1467925312 1476771065 1484370230 1491405160 1523318720 1534307600 1547684600 1605543310 1632807253 1640545676 1666129850 1674026200 1687738360 1696423120 1704463040 1718424512 1766097641 1768782400 1783270720 1802140450 1834906640 1864256450 1866065432 1874909344 1904148400 1913172800 1928843840 2018397304 2050682095 2109672950 2120528900 2130578800 2132646208 2148030640 2229088400 2239652800 2247760634 2293633300 2306739776 2332581790 2343636680 2362833704 2374992368 2386248256 2411054800 2423461600 2476295360 2522996630 2568869296 2621295200 2665807760 2678441920 2685038300 2700381376 2883424720 2929545850 2953542130 2968740460 2982810320 3068615200 3095369200 3211086620 3265614506 3281091352 3332259700 3348052400 3375476720 3392846240 3532195282 3604280900 3669813280 3710925575 3728512900 3732130864 3749818688 3808296800 4013858275 4036794608 4101364190 4219345900 4241057800 4261157600 4296061280 4458176800 4495521268 4587266600 4665163580 4687273360 4725667408 4749984736 4822109600 4846923200 5045993260 5137738592 5242590400 5331615520 5370076600 5619401585 5766849440 5831454475 5859091700 5907084260 5937480920 5965620640 6137230400 6190738400 6307491575 6422173240 6531229012 6562182704 6664519400 6696104800 6750953440 6785692480 7064390564 7208561800 7339626560 7383855325 7421851150 7457025800 7464261728 7616593600 7867162219 8027716550 8073589216 8164036265 8202728380 8438691800 8482115600 8522315200 8592122560 8830488205 8916353600 8991042536 9174533200 9330327160 9374546720 9451334816 9499969472 9644219200 10091986520 10253410475 10275477184 10663231040 10740153200 11238803170 11533698880 11662908950 11718183400 11814168520 11874961840 11931241280 12362683487 12381476800 12614983150 12844346480 13062458024 13124365408 13329038800 13392209600 13501906880 14128781128 14417123600 14767710650 14843702300 14914051600 14928523456 15734324438 16055433100 16147178432 16328072530 16405456760 16877383600 16964231200 17660976410 17982085072 18349066400 18660654320 18749093440 18902669632 20183973040 20506820950 21480306400 22477606340 23325817900 23436366800 23628337040 23749923680 24725366974 25229966300 25688692960 26124916048 26248730816 26658077600 28097007925 28257562256 28834247200 29535421300 29687404600 29828103200 31468648876 32110866200 32656145060 32810913520 33754767200 33928462400 35321952820 35964170144 36698132800 37321308640 39335811095 40367946080 40820181325 41013641900 42960612800 44152441025 44955212680 46651635800 46872733600 47256674080 47499847360 49450733948 50459932600 51377385920 52249832096 53316155200 56194015850 56515124512 57668494400 59070842600 59374809200 59656206400 61813417435 62937297752 64221732400 65312290120 65621827040 67509534400 70643905640 71928340288 74642617280 78671622190 80735892160 81640362650 82027283800 86538784409 88304882050 89910425360 93303271600 93745467200 94513348160 98901467896 100919865200 104499664192 112388031700 113030249024 118141685200 118749618400 123626834870 125874595504 128443464800 130624580240 131243654080 141287811280 157343244380 163280725300 164054567600 173077568818 176609764100 179820850720 186606543200 196679055475 197802935792 201839730400 224776063400 236283370400 237499236800 247253669740 251749191008 256886929600 261249160480 282575622560 309067087175 314686488760 326561450600 328109135200 346155137636 353219528200 359641701440 373213086400 393358110950 395605871584 403679460800 432693922045 449552126800 472566740800 494507339480 503498382016 522498320960 565151245120 618134174350 629372977520 653122901200 656218270400 692310275272 706439056400 786716221900 791211743168 865387844090 899104253600 989014678960 1236268348700 1258745955040 1306245802400 1384620550544 1412878112800 1573432443800 1730775688180 1798208507200 1978029357920 2163469610225 2472536697400 2517491910080 2612491604800 2769241101088 2825756225600 3146864887600 3461551376360 3956058715840 4326939220450 4945073394800 5538482202176 6293729775200 6923102752720 8653878440900 9890146789600 12587459550400 13846205505440 17307756881800 19780293579200 27692411010880 34615513763600 69231027527200 138462055054400
- Sum of all divisors σ(n): 445386163336128
- Sum of proper divisors (its aliquot sum) s(n): 306924108281728
- 138462055054400 is an abundant number, because the sum of its proper divisors (306924108281728) is greater than itself. Its abundance is 168462053227328
Bases of 138462055054400
- Binary: 111110111101110001101011001101100111100010000002
- Hexadecimal: 0x7DEE359B3C40
- Base-36: 1D2WL8LF7K
Squares and roots of 138462055054400
- 138462055054400 squared (1384620550544002) is 19171740689887696586959360000
- 138462055054400 cubed (1384620550544003) is 2654558614891910882176769881415389184000000
-
The
square root of 138462055054400 is 11766990.0592462471 -
The
cube root of 138462055054400 is 51734.1031155975
Scales and comparisons
How big is 138462055054400?- 138,462,055,054,400 seconds is equal to 4,402,665 years, 3 weeks, 15 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,462,055,054,400 would take you about eleven million, six thousand, six hundred sixty-two 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 138462055054400 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138462055054400
- 138462055054400 backwards is 004450550264831
- The number of decimal digits it has is: 15
- The sum of 138462055054400's digits is 47
- More coming soon!
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"Number 138462055054400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138462055054400 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138462055054400/
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The information we have on file for 138462055054400 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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