138094470775200
138,094,470,775,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138094470775200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138094470775200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138094470775200:
25 × 3 × 52 × 19 × 61 × 127 × 331 × 1181
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 61 × 127 × 331 × 1181)See below for interesting mathematical facts about the number 138094470775200 from the Numbermatics database.
Names of 138094470775200
- Cardinal: 138094470775200 can be written as One hundred thirty-eight trillion, ninety-four billion, four hundred seventy million, seven hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.380944707752 × 1014
Factors of 138094470775200
Divisors of 138094470775200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 61 75 76 80 95 96 100 114 120 122 127 150 152 160 183 190 200 228 240 244 254 285 300 304 305 331 366 380 381 400 456 475 480 488 508 570 600 608 610 635 662 732 760 762 800 912 915 950 976 993 1016 1140 1159 1181 1200 1220 1270 1324 1425 1464 1520 1524 1525 1655 1824 1830 1900 1905 1952 1986 2032 2280 2318 2362 2400 2413 2440 2540 2648 2850 2928 3040 3048 3050 3175 3310 3477 3543 3660 3800 3810 3972 4064 4560 4575 4636 4724 4826 4880 4965 5080 5296 5700 5795 5856 5905 6096 6100 6289 6350 6620 6954 7086 7239 7320 7600 7620 7747 7944 8275 9120 9150 9272 9448 9525 9652 9760 9930 10160 10592 11400 11590 11810 12065 12192 12200 12578 12700 13240 13908 14172 14478 14640 15200 15240 15494 15888 16550 17385 17715 18300 18544 18867 18896 19050 19304 19860 20191 20320 22439 22800 23180 23241 23620 24130 24400 24825 25156 25400 26480 27816 28344 28956 28975 29280 29525 30480 30988 31445 31776 33100 34770 35430 36195 36600 37088 37734 37792 38100 38608 38735 39720 40382 42037 44878 45600 46360 46482 47240 48260 48800 49650 50312 50800 52960 55632 56688 57912 57950 59050 60325 60573 60960 61976 62890 66200 67317 69540 70860 72041 72390 73200 75468 76200 77216 77470 79440 80764 84074 86925 88575 89756 92720 92964 94335 94480 96520 99300 100624 100955 101600 111264 112195 113376 115824 115900 116205 118100 120650 121146 123952 125780 126111 132400 134634 139080 141720 144082 144780 146400 147193 149987 150936 152400 154940 157225 158880 161528 168148 173850 177150 179512 180975 185440 185928 188670 188960 193040 193675 198600 201248 201910 210185 216123 224390 231648 231800 232410 236200 241300 242292 247904 251560 252222 264800 269268 278160 283440 288164 289560 294386 299974 301872 302865 304800 309880 314450 323056 336296 336585 347700 354300 359024 360205 361950 371856 377340 383629 386080 387350 390911 397200 403820 420370 432246 441579 448780 449961 463600 464820 471675 472400 482600 484584 503120 504444 504775 538536 556320 560975 566880 576328 579120 581025 588772 599948 603744 605730 619760 628900 630555 646112 672592 673170 695400 708600 718048 720410 723900 735965 743712 749935 754680 767258 774700 781822 794400 798703 807640 840740 864492 883158 897560 899922 927200 929640 943350 944800 965200 969168 1006240 1008888 1009550 1050925 1077072 1080615 1121950 1150887 1152656 1158240 1162050 1172733 1177544 1199896 1211460 1239520 1257800 1261110 1345184 1346340 1368779 1390800 1417200 1440820 1447800 1471930 1499870 1509360 1514325 1534516 1549400 1563644 1597406 1615280 1681480 1682925 1728984 1766316 1795120 1799844 1801025 1859280 1886700 1918145 1930400 1938336 1954555 2017776 2019100 2101850 2154144 2161230 2207895 2243900 2249805 2301774 2305312 2324100 2345466 2355088 2396109 2399792 2422920 2515600 2522220 2564257 2692680 2737558 2781600 2834400 2849753 2881640 2895600 2943860 2999740 3018720 3028650 3069032 3098800 3127288 3152775 3194812 3230560 3362960 3365850 3457968 3532632 3590240 3599688 3602050 3679825 3718560 3749675 3773400 3836290 3909110 3993515 4035552 4038200 4106337 4203700 4322460 4415790 4487800 4499610 4603548 4648200 4690932 4710176 4792218 4799584 4845840 5031200 5044440 5128514 5385360 5403075 5475116 5699506 5754435 5763280 5791200 5863665 5887720 5999480 6057300 6138064 6197600 6254576 6305550 6389624 6725920 6731700 6843895 6915936 7065264 7199376 7204100 7359650 7427309 7499350 7546800 7672580 7692771 7818220 7987030 8076400 8212674 8407400 8549259 8644920 8831580 8975600 8999220 9149207 9207096 9296400 9381864 9584436 9590725 9691680 9772775 10088880 10257028 10770720 10806150 10950232 11039475 11249025 11399012 11508870 11526560 11727330 11775440 11980545 11998960 12114600 12276128 12509152 12611100 12779248 12821285 13463400 13687790 14130528 14248765 14398752 14408200 14719300 14854618 14998700 15093600 15345160 15385542 15636440 15974060 16152800 16425348 16814800 17098518 17289840 17663160 17951200 17998440 18298414 18414192 18592800 18763728 19168872 19181450 19545550 19967575 20177760 20514056 20531685 21612300 21900464 22078950 22281927 22498050 22798024 23017740 23454660 23550880 23845571 23961090 23997920 24229200 25222200 25558496 25642570 26926800 27375580 27447621 28497530 28772175 28816400 29318325 29438600 29709236 29997400 30690320 30771084 31272880 31948120 32850696 33629600 34197036 34219475 34579680 35326320 35996880 36596828 36828384 37136545 37527456 38337744 38362900 38463855 39091100 39935150 41028112 41063370 42746295 43224600 43800928 44157900 44563854 44996100 45596048 45746035 46035480 46909320 47691142 47922180 48458400 48720883 49645697 50444400 51285140 53853600 54751160 54895242 56995060 57544350 57632800 58636650 58877200 59418472 59902725 59994800 61380640 61542168 62545760 63896240 64106425 65701392 68394072 68438950 70652640 71243825 71536713 71993760 73193656 74273090 76675488 76725800 76927710 78182200 79870300 82056224 82126740 85492590 86449200 88315800 89127708 89992200 91192096 91492070 92070960 93818640 95382284 95844360 97441766 99291394 100888800 102570280 102658425 109502320 109790484 111409635 113990120 115088700 117273300 117754400 118836944 119227855 119805450 119989600 123084336 127792480 128212850 131402784 136788144 136877900 137238105 142487650 143073426 146162649 146387312 148546180 148937091 153451600 153855420 156364400 159740600 164253480 170985180 172898400 173834933 176631600 178255416 179984400 182984140 184141920 185682725 187637280 190764568 191688720 192319275 194883532 198582788 205140560 205316850 213731475 219004640 219580968 222819270 227980240 228730175 230177400 234546600 237673888 238455710 239610900 243604415 246168672 248228485 256425700 273576288 273755800 274476210 284975300 286146852 292325298 292774624 297092360 297874182 306903200 307710840 312728800 319481200 328506960 341970360 347669866 353263200 356510832 357683565 359968800 365968280 371365450 381529136 383377440 384638550 389767064 397165576 410281120 410633700 427462950 439161936 445638540 453065849 455960480 457460350 460354800 469093200 476911420 479221800 487208830 496456970 512851400 521504799 547511600 548952420 557048175 569950600 572293704 584650596 594184720 595748364 596139275 615421680 638962400 657013920 683940720 686190525 695339732 713021664 715367130 730813245 731936560 742730900 744685455 763058272 769277100 779534128 794331152 821267400 854925900 869174665 878323872 891277080 906131698 914920700 920709600 938186400 943268243 953822840 958443600 974417660 992913940 1025702800 1043009598 1095023200 1097904840 1114096350 1139901200 1144587408 1169301192 1188369440 1191496728 1192278550 1218022075 1230843360 1241142425 1359197547 1367881440 1372381050 1390679464 1430734260 1461626490 1463873120 1485461800 1489370910 1538554200 1559068256 1588662304 1642534800 1709851800 1738349330 1782554160 1788417825 1812263396 1829841400 1886536486 1907645680 1916887200 1948835320 1985827880 2051405600 2086019196 2195809680 2228192700 2265329245 2279802400 2289174816 2338602384 2382993456 2384557100 2436044150 2482284850 2607523995 2718395094 2744762100 2781358928 2829804729 2861468520 2923252980 2970923600 2978741820 3028387517 3077108400 3285069600 3419703600 3476698660 3565108320 3576835650 3624526792 3654066225 3659682800 3723427275 3773072972 3815291360 3897670640 3971655760 4172038392 4345873325 4391619360 4456385400 4530658490 4677204768 4716341215 4765986912 4769114200 4872088300 4964569700 5215047990 5436790188 5489524200 5562717856 5659609458 5722937040 5846505960 5941847200 5957483640 6056775034 6154216800 6795987735 6839407200 6953397320 7153671300 7249053584 7308132450 7319365600 7446854550 7546145944 7795341280 7943311520 8344076784 8691746650 8912770800 9061316980 9085162551 9432682430 9538228400 9744176600 9929139400 10430095980 10873580376 10979048400 11319218916 11326646225 11445874080 11693011920 11914967280 12113550068 13037619975 13591975470 13906794640 14149023645 14307342600 14498107168 14616264900 14893709100 15092291888 15141937585 16688153568 17383493300 17825541600 18122633960 18170325102 18865364860 19076456800 19488353200 19858278800 20860191960 21747160752 21958096800 22638437832 22653292450 23386023840 23581706075 23829934560 24227100136 26075239950 27183950940 27813589280 28298047290 28614685200 29232529800 29787418200 30184583776 30283875170 33979938675 34766986600 36245267920 36340650204 37730729720 38976706400 39716557600 41720383920 43494321504 45276875664 45306584900 45425812755 47163412150 48454200272 52150479900 54367901880 56596094580 57229370400 57539362823 58465059600 59574836400 60567750340 67959877350 69533973200 70745118225 72490535840 72681300408 75461459440 75709687925 83440767840 90553751328 90613169800 90851625510 94326824300 96908400544 104300959800 108735803760 113192189160 115078725646 116930119200 119149672800 121135500680 135919754700 139067946400 141490236450 145362600816 150922918880 151419375850 172618088469 181226339600 181703251020 188653648600 208601919600 217471607520 226384378320 227129063775 230157451292 242271001360 271839509400 282980472900 287696814115 290725201632 302838751700 345236176938 362452679200 363406502040 377307297200 417203839200 452768756640 454258127550 460314902584 484542002720 543679018800 565960945800 575393628230 605677503400 690472353876 726813004080 754614594400 863090442345 908516255100 920629805168 1087358037600 1131921891600 1150787256460 1211355006800 1380944707752 1438484070575 1453626008160 1726180884690 1817032510200 1841259610336 2263843783200 2301574512920 2422710013600 2761889415504 2876968141150 3452361769380 3634065020400 4315452211725 4603149025840 5523778831008 5753936282300 6904723538760 7268130040800 8630904423450 9206298051680 11507872564600 13809447077520 17261808846900 23015745129200 27618894155040 34523617693800 46031490258400 69047235387600 138094470775200
- Sum of all divisors σ(n): 486574617231360
- Sum of proper divisors (its aliquot sum) s(n): 348480146456160
- 138094470775200 is an abundant number, because the sum of its proper divisors (348480146456160) is greater than itself. Its abundance is 210385675680960
Bases of 138094470775200
- Binary: 111110110011000100111111110000001000001101000002
- Hexadecimal: 0x7D989FE041A0
- Base-36: 1CY7Q2EM5C
Squares and roots of 138094470775200
- 138094470775200 squared (1380944707752002) is 19070082858682566888935040000
- 138094470775200 cubed (1380944707752003) is 2633473000008982204817759065531243008000000
-
The
square root of 138094470775200 is 11751360.3797688037 -
The
cube root of 138094470775200 is 51688.2819070311
Scales and comparisons
How big is 138094470775200?- 138,094,470,775,200 seconds is equal to 4,390,977 years, 5 days, 23 hours, 20 minutes.
-
To count from 1 to 138,094,470,775,200 would take you about ten million, nine hundred seventy-seven thousand, four hundred forty-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 138094470775200 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138094470775200
- 138094470775200 backwards is 002577074490831
- 138094470775200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138094470775200's digits is 57
- More coming soon!
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The information we have on file for 138094470775200 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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