138378623320080
138,378,623,320,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138378623320080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 800 divisors.
138378623320080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 138378623320080:
24 × 34 × 5 × 11 × 13 × 277 × 539111
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 277 × 539111)See below for interesting mathematical facts about the number 138378623320080 from the Numbermatics database.
Names of 138378623320080
- Cardinal: 138378623320080 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, six hundred twenty-three million, three hundred twenty thousand and eighty.
Scientific notation
- Scientific notation: 1.3837862332008 × 1014
Factors of 138378623320080
Divisors of 138378623320080
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 33 36 39 40 44 45 48 52 54 55 60 65 66 72 78 80 81 88 90 99 104 108 110 117 120 130 132 135 143 144 156 162 165 176 180 195 198 208 216 220 234 240 260 264 270 277 286 297 312 324 330 351 360 390 396 405 429 432 440 468 495 520 528 540 554 572 585 594 624 648 660 702 715 720 780 792 810 831 858 880 891 936 990 1040 1053 1080 1108 1144 1170 1188 1287 1296 1320 1385 1404 1430 1485 1560 1584 1620 1662 1716 1755 1782 1872 1980 2106 2145 2160 2216 2288 2340 2376 2493 2574 2640 2770 2808 2860 2970 3047 3120 3240 3324 3432 3510 3564 3601 3861 3960 4155 4212 4290 4432 4455 4680 4752 4986 5148 5265 5540 5616 5720 5940 6094 6435 6480 6648 6864 7020 7128 7202 7479 7722 7920 8310 8424 8580 8910 9141 9360 9972 10296 10530 10803 11080 11440 11583 11880 12188 12465 12870 13296 14040 14256 14404 14958 15235 15444 16620 16848 17160 17820 18005 18282 19305 19944 20592 21060 21606 22160 22437 23166 23760 24376 24930 25740 27423 28080 28808 29916 30470 30888 32409 33240 34320 35640 36010 36564 37395 38610 39611 39888 42120 43212 44874 45705 46332 48752 49860 51480 54015 54846 57616 57915 59832 60940 61776 64818 66480 71280 72020 73128 74790 77220 79222 82269 84240 86424 89748 91410 92664 97227 99720 102960 108030 109692 112185 115830 118833 119664 121880 129636 137115 144040 146256 149580 154440 158444 162045 164538 172848 179496 182820 185328 194454 198055 199440 216060 219384 224370 231660 237666 243760 246807 259272 274230 288080 291681 299160 308880 316888 324090 329076 356499 358992 365640 388908 396110 411345 432120 438768 448740 463320 475332 486135 493614 518544 539111 548460 583362 594165 598320 633776 648180 658152 712998 731280 777816 792220 822690 864240 897480 926640 950664 972270 987228 1069497 1078222 1096920 1166724 1188330 1234035 1296360 1316304 1425996 1458405 1555632 1584440 1617333 1645380 1782495 1794960 1901328 1944540 1974456 2138994 2156444 2193840 2333448 2376660 2468070 2592720 2695555 2851992 2916810 3168880 3208491 3234666 3290760 3564990 3889080 3948912 4277988 4312888 4666896 4753320 4851999 4936140 5347485 5391110 5703984 5833620 5930221 6416982 6469332 6581520 7008443 7129980 7778160 8086665 8555976 8625776 9506640 9703998 9872280 10694970 10782220 11667240 11860442 12833964 12938664 14016886 14259960 14555997 16042455 16173330 17111952 17790663 19407996 19744560 21025329 21389940 21564440 23334480 23720884 24259995 25667928 25877328 28033772 28519920 29111994 29651105 32084910 32346660 35042215 35581326 38815992 42050658 42779880 43128880 43667991 47441768 48519990 51335856 53371989 56067544 58223988 59302210 63075987 64169820 64693320 70084430 71162652 72779985 77092873 77631984 84101316 85559760 87335982 88953315 94883536 97039980 105126645 106743978 112135088 116447976 118604420 126151974 128339640 129386640 140168860 142325304 145559970 149333747 154185746 160115967 168202632 174671964 177906630 189227961 194079960 210253290 213487956 218339955 231278619 232895952 237208840 252303948 256679280 266859945 280337720 284650608 291119940 298667494 308371492 315379935 320231934 336405264 349343928 355813260 378455922 385464365 388159920 420506580 426975912 436679910 448001241 462557238 474417680 480347901 504607896 533719890 560675440 567683883 582239880 597334988 616742984 630759870 640463868 693835857 698687856 711626520 746668735 756911844 770928730 800579835 841013160 853951824 873359820 896002482 925114476 946139805 960695802 1009215792 1067439780 1135367766 1156393095 1164479760 1194669976 1233485968 1261519740 1280927736 1344003723 1387671714 1423253040 1493337470 1513823688 1541857460 1601159670 1642671217 1682026320 1746719640 1792004964 1850228952 1892279610 1921391604 1941338711 2081507571 2134879560 2240006205 2270735532 2312786190 2389339952 2401739505 2523039480 2561855472 2688007446 2775343428 2838419415 2986674940 3027647376 3083714920 3202319340 3285342434 3469179285 3493439280 3584009928 3700457904 3784559220 3842783208 3882677422 4032011169 4163015142 4269759120 4480012410 4541471064 4625572380 4803479010 4928013651 5046078960 5376014892 5550686856 5676838830 5824016133 5973349880 6167429840 6244522713 6404638680 6570684868 6720018615 6938358570 7168019856 7569118440 7685566416 7765354844 8064022338 8213356085 8326030284 8960024820 9082942128 9251144760 9606958020 9706693555 9856027302 10407537855 10752029784 11101373712 11353677660 11648032266 11946699760 12096033507 12489045426 12809277360 13141369736 13440037230 13876717140 14784040953 15138236880 15530709688 16128044676 16426712170 16652060568 17472048399 17920049640 18502289520 19213916040 19413387110 19712054604 20160055845 20815075710 21354725821 21504059568 22707355320 23296064532 24192067014 24640068255 24978090852 26282739472 26880074460 27753434280 29120080665 29568081906 31061419376 31222613565 32256089352 32853424340 33304121136 34944096798 35840099280 38427832080 38826774220 39424109208 40320111690 41630151420 42709451642 44352122859 45414710640 46592129064 48384134028 49280136510 49956181704 52416145197 53760148920 55506868560 58240161330 59136163812 60480167535 62445227130 64064177463 64512178704 65706848680 69888193596 73920204765 77653548440 78848218416 80640223380 83260302840 85418903284 87360241995 88704245718 93184258128 96768268056 98560273020 99912363408 104832290394 106773629105 107520297840 116480322660 118272327624 120960335070 124890454260 128128354926 131413697360 133056368577 139776387192 147840409530 155307096880 157248435591 161280446760 166520605680 170837806568 174720483990 177408491436 192192532389 193536536112 197120546040 209664580788 213547258210 221760614295 232960645320 236544655248 241920670140 249780908520 256256709852 262080725985 266112737154 279552774384 295680819060 314496871182 320320887315 322560893520 341675613136 349440967980 354816982872 384385064778 394241092080 419329161576 427094516420 443521228590 465921290640 483841340280 499561817040 512513419704 524161451970 532225474308 576577597167 591361638120 628993742364 640641774630 665281842885 698881935960 709633965744 768770129556 786242177955 838658323152 854189032840 887042457180 960962661945 967682680560 1025026839408 1048322903940 1064450948616 1153155194334 1182723276240 1257987484728 1281283549260 1330563685770 1397763871920 1537540259112 1572484355910 1708378065680 1729732791501 1774084914360 1921925323890 2096645807880 2128901897232 2306310388668 2515974969456 2562567098520 2661127371540 2882887985835 3075080518224 3144968711820 3459465583002 3548169828720 3843850647780 4193291615760 4612620777336 5125134197040 5322254743080 5765775971670 6289937423640 6918931166004 7687701295560 8648663957505 9225241554672 10644509486160 11531551943340 12579874847280 13837862332008 15375402591120 17297327915010 23063103886680 27675724664016 34594655830020 46126207773360 69189311660040 138378623320080
- Sum of all divisors σ(n): 566671526201088
- Sum of proper divisors (its aliquot sum) s(n): 428292902881008
- 138378623320080 is an abundant number, because the sum of its proper divisors (428292902881008) is greater than itself. Its abundance is 289914279560928
Bases of 138378623320080
- Binary: 111110111011010110010001011000000000000000100002
- Hexadecimal: 0x7DDAC8B00010
- Base-36: 1D1U9FHT00
Squares and roots of 138378623320080
- 138378623320080 squared (1383786233200802) is 19148643391960588402131206400
- 138378623320080 cubed (1383786233200803) is 2649762911026653270255431742714943744512000
-
The
square root of 138378623320080 is 11763444.3646442261 -
The
cube root of 138378623320080 is 51723.7100559927
Scales and comparisons
How big is 138378623320080?- 138,378,623,320,080 seconds is equal to 4,400,012 years, 9 weeks, 5 days, 13 hours, 48 minutes.
-
To count from 1 to 138,378,623,320,080 would take you about eleven million and thirty 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 138378623320080 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138378623320080
- 138378623320080 backwards is 080023326873831
- 138378623320080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138378623320080's digits is 54
- More coming soon!
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The information we have on file for 138378623320080 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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