138464212771497600
138,464,212,771,497,600 is an even composite number composed of six prime numbers multiplied together.
138464212771497600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 138464212771497600:
27 × 32 × 52 × 132 × 612 × 1973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 61 × 61 × 197 × 197 × 197)See below for interesting mathematical facts about the number 138464212771497600 from the Numbermatics database.
Names of 138464212771497600
- Cardinal: 138464212771497600 can be written as One hundred thirty-eight quadrillion, four hundred sixty-four trillion, two hundred twelve billion, seven hundred seventy-one million, four hundred ninety-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.384642127714976 × 1017
Factors of 138464212771497600
Divisors of 138464212771497600
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 61 64 65 72 75 78 80 90 96 100 104 117 120 122 128 130 144 150 156 160 169 180 183 192 195 197 200 208 225 234 240 244 260 288 300 305 312 320 325 338 360 366 384 390 394 400 416 450 468 480 488 507 520 549 576 585 591 600 610 624 640 650 676 720 732 780 788 793 800 832 845 900 915 936 960 975 976 985 1014 1040 1098 1152 1170 1182 1200 1220 1248 1300 1352 1440 1464 1521 1525 1560 1576 1586 1600 1664 1690 1773 1800 1830 1872 1920 1950 1952 1970 2028 2080 2196 2340 2364 2379 2400 2440 2496 2535 2561 2600 2704 2745 2880 2925 2928 2955 3042 3050 3120 3152 3172 3200 3380 3546 3600 3660 3721 3744 3900 3904 3940 3965 4056 4160 4225 4392 4575 4680 4728 4758 4800 4880 4925 4992 5070 5122 5200 5408 5490 5760 5850 5856 5910 6084 6100 6240 6304 6344 6760 7092 7137 7200 7320 7442 7488 7605 7683 7800 7808 7880 7930 8112 8320 8450 8784 8865 9150 9360 9456 9516 9600 9760 9850 10140 10244 10309 10400 10816 10980 11163 11700 11712 11820 11895 12017 12168 12200 12480 12608 12675 12688 12805 13520 13725 14184 14274 14400 14640 14775 14884 14976 15210 15366 15600 15760 15860 16224 16900 17568 17730 18300 18605 18720 18912 19032 19520 19700 19825 20280 20488 20618 20800 21632 21960 22326 23049 23400 23424 23640 23790 24034 24336 24400 24960 25216 25350 25376 25610 27040 27450 28368 28548 28800 29280 29550 29768 30420 30732 30927 31200 31520 31720 32448 33293 33489 33800 35136 35460 35685 36051 36600 37210 37440 37824 38025 38064 38415 38809 39040 39400 39650 40560 40976 41236 41600 43920 44325 44652 46098 46800 47280 47580 48068 48373 48672 48800 50700 50752 51220 51545 54080 54900 55815 56736 57096 58560 59100 59475 59536 60085 60840 61464 61854 62400 63040 63440 64025 64896 66586 66978 67600 70272 70920 71370 72102 73200 74420 74880 75648 76050 76128 76830 77618 78800 79300 81120 81952 82472 87840 88650 89304 92196 92781 93025 93600 94560 95160 96136 96746 97344 97600 99879 101400 101504 102440 103090 108153 108160 109800 111630 113472 114192 115245 116427 117120 118200 118950 119072 120170 121680 122928 123708 124800 126080 126880 128050 133172 133956 135200 141840 142740 144204 145119 146400 148840 152100 152256 153660 154635 155236 156221 157600 158600 162240 163904 164944 166465 167445 175680 177300 178425 178608 180255 184392 185562 186050 187200 189120 190320 192075 192272 193492 194045 194688 195200 199758 202800 204880 206180 216306 219600 223260 226944 228384 230490 232854 236400 237900 238144 240340 241865 243360 245856 247416 253760 256100 257725 266344 267912 270400 279075 283680 285480 288408 290238 292800 297680 299637 300425 304200 304512 307320 309270 310472 312442 315200 317200 324480 327808 329888 332930 334890 349281 351360 354600 356850 357216 360510 368784 371124 372100 374400 378240 380640 384150 384544 386984 388090 399516 405600 409760 412360 432612 435357 439200 446520 456768 460980 463905 465708 468663 472800 475800 476288 480680 483730 486720 491712 494832 499395 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1137937317320 1152236105280 1162861233300 1164053911488 1171440040368 1182242253855 1189279228800 1201476964480 1212556157800 1220250042050 1240385315520 1261058404112 1280179481985 1280262339200 1343139128640 1351661585040 1364125677525 1365524780784 1386319574400 1418690704626 1422421646650 1431213825600 1440295131600 1455067389360 1464300050460 1479318512516 1488462378624 1492376809600 1501846205600 1550481644400 1561920053824 1576323005140 1678923910800 1689576981300 1706905975980 1746080867232 1757160060552 1783918843200 1802215446720 1818834236700 1820699707712 1830375063075 1849148140645 1860577973280 1891587606168 1920393508800 1940089852480 1952400067280 1970403756425 2048287171176 2067308859200 2079479361600 2133632469975 2162658536064 2182601084040 2196450075690 2218977768774 2238565214400 2252769308400 2275874634640 2304472210560 2325722466600 2328107822976 2342880080736 2364484507710 2425112315600 2440500084100 2480770631040 2522116808224 2560358963970 2686278257280 2703323170080 2728251355050 2731049561568 2837381409252 2844843293300 2862427651200 2880590263200 2910134778720 2928600100920 2958637025032 3003692411200 3100963288800 3123840107648 3152646010280 3328466653161 3357847821600 3379153962600 3413811951960 3492161734464 3514320121104 3546726761565 3567837686400 3604430893440 3637668473400 3641399415424 3660750126150 3698296281290 3721155946560 3783175212336 3840787017600 3880179704960 3904800134560 3940807512850 4096574342352 4134617718400 4158958723200 4267264939950 4365202168080 4392900151380 4437955537548 4477130428800 4505538616800 4551749269280 4651444933200 4685760161472 4728969015420 4807785165677 4850224631200 4881000168200 5044233616448 5120717927940 5406646340160 5456502710100 5462099123136 5491125189225 5547444421935 5674762818504 5689686586600 5761180526400 5820269557440 5857200201840 5911211269275 5917274050064 6007384822400 6201926577600 6305292020560 6400897409925 6656933306322 6715695643200 6758307925200 6827623903920 6984323468928 7028640242208 7093453523130 7275336946800 7321500252300 7396592562580 7442311893120 7566350424672 7809600269120 7881615025700 8193148684704 8534529879900 8730404336160 8785800302760 8875911075096 9011077233600 9103498538560 9245740703225 9302889866400 9371520322944 9457938030840 9615570331354 9700449262400 9762000336400 10088467232896 10241435855880 10813292680320 10913005420200 10924198246272 10982250378450 11094888843870 11349525637008 11379373173200 11522361052800 11640539114880 11714400403680 11822422538550 11834548100128 12403853155200 12610584041120 12801794819850 13313866612644 13431391286400 13516615850400 13655247807840 14057280484416 14186907046260 14423355497031 14550673893600 14643000504600 14793185125160 15132700849344 15619200538240 15763230051400 16386297369408 16642333265805 17069059759800 17460808672320 17571600605520 17733633807825 17751822150192 18022154467200 18206997077120 18491481406450 18605779732800 18915876061680 19231140662708 19400898524800 19524000672800 20482871711760 21826010840400 21964500756900 22189777687740 22699051274016 22758746346400 23428800807360 23644845077100 23669096200256 24038925828385 25221168082240 25603589639700 26627733225288 27033231700800 27310495615680 27737222109675 28114560968832 28373814092520 28846710994062 29101347787200 29286001009200 29586370250320 30265401698688 31526460102800 32772594738816 33284666531610 34138119519600 34921617344640 35143201211040 35467267615650 35503644300384 36982962812900 37211559465600 37831752123360 38462281325416 39048001345600 40965743423520 43270066491093 43652021680800 43929001513800 44379555375480 45398102548032 45517492692800 46857601614720 47289690154200 47338192400512 48077851656770 50442336164480 51207179279400 53255466450576 54066463401600 54620991231360 55474444219350 56747628185040 57693421988124 58202695574400 58572002018400 59172740500640 63052920205600 66569333063220 68276239039200 70286402422080 70934535231300 71007288600768 72116777485155 73965925625800 75663504246720 76924562650832 78096002691200 81931486847040 83211666329025 86540132982186 87304043361600 87858003027600 88759110750960 90796205096064 91034985385600 94579380308400 96155703313540 102414358558800 106510932901152 110948888438700 113495256370080 115386843976248 117144004036800 118345481001280 120194629141925 126105840411200 133138666126440 136552478078400 140572804844160 141869070462600 142014577201536 144233554970310 147931851251600 151327008493440 153849125301664 163862973694080 166423332658050 173080265964372 174608086723200 175716006055200 177518221501920 189158760616800 192311406627080 204828717117600 213021865802304 216350332455465 221897776877400 226990512740160 230773687952496 234288008073600 236690962002560 240389258283850 252211680822400 266277332252880 273104956156800 283738140925200 288467109940620 295863702503200 307698250603328 332846665316100 346160531928744 351432012110400 355036443003840 360583887425775 378317521233600 384622813254160 409657434235200 426043731604608 432700664910930 443795553754800 453981025480320 461547375904992 480778516567700 532554664505760 567476281850400 576934219881240 591727405006400 615396501206656 665693330632200 692321063857488 702864024220800 710072886007680 721167774851550 756635042467200 769245626508320 819314868470400 865401329821860 887591107509600 923094751809984 961557033135400 1065109329011520 1081751662277325 1134952563700800 1153868439762480 1183454810012800 1331386661264400 1384642127714976 1442335549703100 1538491253016640 1730802659643720 1775182215019200 1846189503619968 1923114066270800 2130218658023040 2163503324554650 2269905127401600 2307736879524960 2662773322528800 2769284255429952 2884671099406200 3076982506033280 3461605319287440 3550364430038400 3846228132541600 4327006649109300 4615473759049920 5325546645057600 5538568510859904 5769342198812400 6923210638574880 7692456265083200 8654013298218600 9230947518099840 10651093290115200 11538684397624800 13846421277149760 15384912530166400 17308026596437200 23077368795249600 27692842554299520 34616053192874400 46154737590499200 69232106385748800 138464212771497600
- Sum of all divisors σ(n): 546690454059192300
- Sum of proper divisors (its aliquot sum) s(n): 408226241287694700
- 138464212771497600 is an abundant number, because the sum of its proper divisors (408226241287694700) is greater than itself. Its abundance is 269762028516197100
Bases of 138464212771497600
- Binary: 1111010111110110001110111110010000101100101100110100000002
- Hexadecimal: 0x1EBEC77C8596680
- Base-36: 11VDGT7G49S0
Squares and roots of 138464212771497600
- 138464212771497600 squared (1384642127714976002) is 19172338218430559082990946805760000
- 138464212771497600 cubed (1384642127714976003) is 2654682718403884162053236151779191743491506176000000
-
The
square root of 138464212771497600 is 372107797.2463054959 -
The
cube root of 138464212771497600 is 517343.7184621099
Scales and comparisons
How big is 138464212771497600?- 138,464,212,771,497,600 seconds is equal to 4,402,733,668 years, 10 weeks, 3 days, 16 hours.
-
To count from 1 to 138,464,212,771,497,600 would take you about thirteen billion, two hundred eight million, two hundred one thousand and 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 138464212771497600 cubic inches would be around 43112 feet tall.
Recreational maths with 138464212771497600
- 138464212771497600 backwards is 006794177212464831
- 138464212771497600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138464212771497600's digits is 72
- More coming soon!
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"Number 138464212771497600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138464212771497600 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138464212771497600/
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The information we have on file for 138464212771497600 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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