138534323522400
138,534,323,522,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138534323522400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138534323522400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138534323522400:
25 × 39 × 52 × 13 × 53 × 1132
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 53 × 113 × 113)See below for interesting mathematical facts about the number 138534323522400 from the Numbermatics database.
Names of 138534323522400
- Cardinal: 138534323522400 can be written as One hundred thirty-eight trillion, five hundred thirty-four billion, three hundred twenty-three million, five hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.385343235224 × 1014
Factors of 138534323522400
Divisors of 138534323522400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 53 54 60 65 72 75 78 80 81 90 96 100 104 106 108 113 117 120 130 135 144 150 156 159 160 162 180 195 200 208 212 216 225 226 234 240 243 260 265 270 288 300 312 318 324 325 339 351 360 390 400 405 416 424 432 450 452 468 477 480 486 520 530 540 565 585 600 624 636 648 650 675 678 689 702 720 729 780 795 800 810 848 864 900 904 936 954 972 975 1017 1040 1053 1060 1080 1130 1170 1200 1215 1248 1272 1296 1300 1325 1350 1356 1378 1404 1431 1440 1458 1469 1560 1590 1620 1695 1696 1755 1800 1808 1872 1908 1944 1950 2025 2034 2067 2080 2106 2120 2160 2187 2260 2340 2385 2400 2430 2544 2592 2600 2650 2700 2712 2756 2808 2825 2862 2916 2925 2938 3051 3120 3159 3180 3240 3390 3445 3510 3600 3616 3645 3744 3816 3888 3900 3975 4050 4068 4134 4212 4240 4293 4320 4374 4407 4520 4680 4770 4860 5085 5088 5200 5265 5300 5400 5424 5512 5616 5650 5724 5832 5850 5876 5989 6075 6102 6201 6240 6318 6360 6480 6561 6780 6890 7020 7155 7200 7290 7345 7632 7776 7800 7950 8100 8136 8268 8424 8475 8480 8586 8748 8775 8814 9040 9153 9360 9477 9540 9720 10170 10335 10400 10530 10600 10800 10848 10935 11024 11232 11300 11448 11664 11700 11752 11925 11978 12150 12204 12402 12636 12720 12769 12879 12960 13122 13221 13560 13780 14040 14310 14580 14690 15255 15264 15600 15795 15900 16200 16272 16536 16848 16950 17172 17225 17496 17550 17628 17967 18080 18225 18306 18603 18720 18954 19080 19440 19683 20340 20670 21060 21200 21465 21600 21870 22035 22048 22600 22896 23328 23400 23504 23850 23956 24300 24408 24804 25272 25425 25440 25538 25758 26244 26325 26442 27120 27459 27560 28080 28431 28620 29160 29380 29945 30510 31005 31200 31590 31800 32400 32544 32805 33072 33696 33900 34344 34450 34992 35100 35256 35775 35934 36450 36612 36725 37206 37908 38160 38307 38637 38880 39366 39663 40680 41340 42120 42400 42930 43740 44070 45200 45765 45792 46800 47008 47385 47700 47912 48600 48816 49608 50544 50850 51076 51516 51675 52488 52650 52884 53901 54240 54675 54918 55120 55809 56160 56862 57240 58320 58760 59890 61020 62010 63180 63600 63845 64395 64800 65610 66105 66144 67800 68688 68900 69984 70200 70512 71550 71868 72900 73224 73450 74412 75816 76275 76320 76614 77274 77857 78732 78975 79326 81360 82377 82680 84240 85293 85860 87480 88140 89835 90400 91530 93015 93600 94770 95400 95824 97200 97632 98415 99216 101088 101700 102152 103032 103350 104976 105300 105768 107325 107802 109350 109836 110175 110240 111618 113724 114480 114921 115911 116640 117520 118989 119780 122040 124020 126360 127200 127690 128790 131220 132210 135600 137295 137376 137800 140400 141024 142155 143100 143736 145800 146448 146900 148824 149725 151632 152550 153228 154548 155025 155714 157464 157950 158652 161703 162720 164025 164754 165360 165997 167427 168480 170586 171720 174960 176280 179670 183060 186030 189540 190800 191535 191648 193185 194400 196830 198315 198432 203400 204304 206064 206700 209952 210600 211536 214650 215604 218700 219672 220350 223236 227448 228825 228960 229842 231822 233571 235040 236925 237978 239560 244080 247131 248040 252720 255380 255879 257580 262440 264420 269505 271200 274590 275600 279045 280800 284310 286200 287472 291600 292896 293800 297648 299450 303264 305100 306456 309096 310050 311428 314928 315900 317304 319225 321975 323406 328050 329508 330525 330720 331994 334854 341172 343440 344763 347733 349920 352560 356967 359340 366120 372060 379080 381600 383070 386370 389285 393660 396630 406800 408608 411885 412128 413400 421200 423072 426465 429300 431208 437400 439344 440700 446472 449175 454896 457650 459684 463644 465075 467142 473850 475956 479120 485109 488160 492075 494262 496080 497991 502281 505440 510760 511758 515160 524880 528840 539010 549180 551200 558090 568620 572400 574605 574944 579555 583200 587600 594945 595296 598900 610200 612912 618192 620100 622856 629856 631800 634608 638450 643950 646812 656100 659016 661050 663988 669708 676757 682344 686475 686880 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642540600 645396336 654897150 657807804 659838075 670219272 672287850 678079350 681093036 698145075 698556960 703827280 712625121 717107040 722858175 723284640 726070878 730897560 744688080 756770040 771048720 785876580 791805690 806745420 812108400 822259755 827431200 834559200 837774090 840855600 844592736 851366295 856720800 873196200 877077072 879784100 889671600 893625696 896383800 904105800 908124048 913621950 925258464 930860100 943051896 945962550 950166828 963810900 968094504 974530080 982345725 986711706 1005328908 1008431775 1009026720 1021639554 1047835440 1055740920 1075660560 1084926960 1089106317 1096346340 1117032120 1135155060 1156573080 1164261600 1178814870 1187708535 1195178400 1205474400 1210118130 1218162600 1241146800 1256661135 1257402528 1261283400 1266889104 1285081200 1290792672 1309794300 1315615608 1319676150 1340438544 1344575700 1356158700 1362186072 1370432925 1396290150 1407654560 1418943825 1425250242 1445716350 1452141756 1461795120 1480067559 1489376160 1513540080 1532459331 1542097440 1571753160 1583611380 1613490840 1624216800 1644519510 1675548180 1681711200 1702732590 1746392400 1754154144 1759568200 1779343200 1792767600 1808211600 1815177195 1816248096 1827243900 1861720200 1886103792 1891925100 1900333656 1927621800 1936189008 1964691450 1973423412 1979514225 2010657816 2016863550 2043279108 2094435225 2095670880 2111481840 2137875363 2151321120 2169853920 2178212634 2192692680 2234064240 2270310120 2313146160 2357629740 2375417070 2420236260 2436325200 2466779265 2482293600 2513322270 2522566800 2533778208 2554098885 2570162400 2619588600 2631231216 2639352300 2680877088 2689151400 2712317400 2724372144 2740865850 2792580300 2837887650 2850500484 2891432700 2904283512 2923590240 2947037175 2960135118 3025295325 3027080160 3064918662 3143506320 3167222760 3226981680 3267318951 3289039020 3351096360 3405465180 3492784800 3519136400 3563125605 3585535200 3616423200 3630354390 3654487800 3723440400 3772207584 3783850200 3800667312 3855243600 3872378016 3929382900 3946846824 3959028450 4021315632 4033727100 4086558216 4111298775 4188870450 4222963680 4256831475 4275750726 4356425268 4385385360 4440202677 4468128480 4540620240 4626292320 4715259480 4750834140 4840472520 4872650400 4933558530 5026644540 5045133600 5108197770 5239177200 5262462432 5278704600 5378302800 5424634800 5445531585 5448744288 5481731700 5585160600 5675775300 5701000968 5782865400 5808567024 5894074350 5920270236 5938542675 6050590650 6129837324 6283305675 6287012640 6334445520 6413626089 6453963360 6534637902 6578078040 6702192720 6810930360 7038272800 7126251210 7260708780 7308975600 7400337795 7446880800 7567700400 7601334624 7662296655 7710487200 7858765800 7893693648 7918056900 8042631264 8067454200 8173116432 8222597550 8377740900 8513662950 8551501452 8712850536 8770770720 8880405354 9075885975 9081240480 9430518960 9501668280 9680945040 9867117060 10053289080 10216395540 10478354400 10557409200 10689376815 10756605600 10849269600 10891063170 10963463400 11170321200 11351550600 11402001936 11565730800 11617134048 11788148700 11840540472 11877085350 12101181300 12259674648 12333896325 12566611350 12668891040 12770494425 12827252178 13069275804 13156156080 13320608031 13404385440 13621860720 14252502420 14521417560 14617951200 14800675590 15135400800 15324593310 15717531600 15787387296 15836113800 16134908400 16336594755 16346232864 16445195100 16755481800 17027325900 17103002904 17425701072 17760810708 17815628025 18151771950 18861037920 19003336560 19240878267 19361890080 19734234120 20106578160 20432791080 21114818400 21378753630 21782126340 21926926800 22201013385 22340642400 22703101200 22804003872 23131461600 23576297400 23681080944 23754170700 24202362600 24519349296 24667792650 25133222700 25540988850 25654504356 26138551608 26312312160 26641216062 27227657925 27243721440 28505004840 29042835120 29601351180 30649186620 31435063200 31672227600 32068130445 32269816800 32673189510 32890390200 33510963600 34054651800 34206005808 34851402144 35521621416 35631256050 36303543900 37001688975 38006673120 38311483275 38481756534 39468468240 40213156320 40865582160 42757507260 43564252680 43853853600 44402026770 45406202400 47152594800 47362161888 47508341400 48404725200 49038698592 49335585300 50266445400 51081977700 51309008712 52277103216 53282432124 53446884075 54455315850 57010009680 57722634801 58085670240 59202702360 61298373240 63344455200 64136260890 65346379020 65780780400 66603040155 67021927200 68109303600 68412011616 71043242832 71262512100 72607087800 74003377950 76622966550 76963513068 78936936480 81682973775 81731164320 85515014520 87128505360 88804053540 94305189600 95016682800 96204391335 96809450400 98671170600 100532890800 102163955400 102618017424 104554206432 106564864248 106893768150 108910631700 111005066925 114020019360 115445269602 118405404720 122596746480 128272521780 130692758040 131561560800 133206080310 136218607200 142086485664 142525024200 145214175600 148006755900 153245933100 153927026136 160340652225 163365947550 171030029040 173167904403 174257010720 177608107080 190033365600 192408782670 197342341200 201065781600 204327910800 205236034848 213129728496 213787536300 217821263400 222010133850 230890539204 236810809440 245193492960 256545043560 261385516080 266412160620 285050048400 288613174005 290428351200 296013511800 306491866200 307854052272 320681304450 326731895100 333015200775 342060058080 346335808806 355216214160 384817565340 394684682400 408655821600 426259456992 427575072600 435642526800 444020267700 461781078408 481021956675 513090087120 522771032160 532824321240 570100096800 577226348010 592027023600 612983732400 615708104544 641362608900 653463790200 666030401550 692671617612 710432428320 769635130680 855150145200 865839522015 871285053600 888040535400 923562156816 962043913350 1026180174240 1065648642480 1154452696020 1184054047200 1225967464800 1282725217800 1306927580400 1332060803100 1385343235224 1443065870025 1539270261360 1710300290400 1731679044030 1776081070800 1847124313632 1924087826700 2131297284960 2308905392040 2565450435600 2613855160800 2664121606200 2770686470448 2886131740050 3078540522720 3463358088060 3552162141600 3848175653400 4329197610075 4617810784080 5130900871200 5328243212400 5541372940896 5772263480100 6926716176120 7696351306800 8658395220150 9235621568160 10656486424800 11544526960200 13853432352240 15392702613600 17316790440300 23089053920400 27706864704480 34633580880600 46178107840800 69267161761200 138534323522400
- Sum of all divisors σ(n): 561585960791856
- Sum of proper divisors (its aliquot sum) s(n): 423051637269456
- 138534323522400 is an abundant number, because the sum of its proper divisors (423051637269456) is greater than itself. Its abundance is 284517313747056
Bases of 138534323522400
- Binary: 111110111111111000010010010010010001011011000002
- Hexadecimal: 0x7DFF09248B60
- Base-36: 1D3TSFDI00
Squares and roots of 138534323522400
- 138534323522400 squared (1385343235224002) is 19191758793808989943301760000
- 138534323522400 cubed (1385343235224003) is 2658717321705399806994934052689319424000000
-
The
square root of 138534323522400 is 11770060.4723340313 -
The
cube root of 138534323522400 is 51743.1021974509
Scales and comparisons
How big is 138534323522400?- 138,534,323,522,400 seconds is equal to 4,404,962 years, 50 weeks, 4 days, 6 hours.
-
To count from 1 to 138,534,323,522,400 would take you about eleven million, twelve thousand, four hundred seven 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 138534323522400 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138534323522400
- 138534323522400 backwards is 004225323435831
- 138534323522400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138534323522400's digits is 45
- More coming soon!
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MLA style:
"Number 138534323522400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138534323522400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138534323522400/
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Numbermatics. 2024. "Number 138534323522400 - Facts about the integer". https://numbermatics.com/n/138534323522400/
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