138164283975680
138,164,283,975,680 is an even composite number composed of seven prime numbers multiplied together.
138164283975680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138164283975680:
211 × 5 × 53 × 89 × 101 × 127 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 53 × 89 × 101 × 127 × 223)See below for interesting mathematical facts about the number 138164283975680 from the Numbermatics database.
Names of 138164283975680
- Cardinal: 138164283975680 can be written as One hundred thirty-eight trillion, one hundred sixty-four billion, two hundred eighty-three million, nine hundred seventy-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3816428397568 × 1014
Factors of 138164283975680
Divisors of 138164283975680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 53 64 80 89 101 106 127 128 160 178 202 212 223 254 256 265 320 356 404 424 445 446 505 508 512 530 635 640 712 808 848 890 892 1010 1016 1024 1060 1115 1270 1280 1424 1616 1696 1780 1784 2020 2032 2048 2120 2230 2540 2560 2848 3232 3392 3560 3568 4040 4064 4240 4460 4717 5080 5120 5353 5696 6464 6731 6784 7120 7136 8080 8128 8480 8920 8989 9434 10160 10240 10706 11303 11392 11819 12827 12928 13462 13568 14240 14272 16160 16256 16960 17840 17978 18868 19847 20320 21412 22523 22606 22784 23585 23638 25654 25856 26765 26924 27136 28321 28480 28544 32320 32512 33655 33920 35680 35956 37736 39694 40640 42824 44945 45046 45212 45568 47170 47276 51308 51712 53530 53848 54272 56515 56642 56960 57088 59095 64135 64640 65024 67310 67840 71360 71912 75472 79388 81280 85648 89890 90092 90424 91136 94340 94552 99235 102616 103424 107060 107696 108544 112615 113030 113284 113920 114176 118190 128270 129280 130048 134620 135680 141605 142720 143824 150944 158776 162560 171296 179780 180184 180848 182272 188680 189104 198470 205232 206848 214120 215392 225230 226060 226568 227840 228352 236380 256540 258560 260096 269240 271360 283210 285440 287648 301888 317552 325120 342592 359560 360368 361696 377360 378208 396940 410464 428240 430784 450460 452120 453136 455680 456704 472760 476417 513080 517120 538480 542720 566420 570880 575296 599059 603776 635104 650240 679831 685184 719120 720736 723392 754720 756416 793880 820928 856480 861568 900920 904240 906272 911360 945520 952834 1026160 1034240 1051891 1076960 1132840 1141603 1141760 1150592 1193719 1198118 1207552 1270208 1300480 1359662 1370368 1438240 1441472 1446784 1501013 1509440 1512832 1587760 1641856 1712960 1723136 1801840 1808480 1812544 1891040 1905668 2004547 2052320 2103782 2153920 2265680 2283206 2283520 2301184 2382085 2387438 2396236 2415104 2520569 2540416 2719324 2740736 2860421 2876480 2882944 2893568 2995295 3002026 3018880 3025664 3175520 3283712 3399155 3425920 3446272 3603680 3616960 3625088 3782080 3811336 4009094 4104640 4207564 4307840 4531360 4566412 4602368 4764170 4774876 4792472 4830208 5041138 5080832 5259455 5438648 5481472 5708015 5720842 5752960 5765888 5787136 5968595 5990590 6004052 6037760 6051328 6351040 6567424 6798310 6851840 6892544 7207360 7233920 7250176 7505065 7564160 7622672 8018188 8209280 8415128 8615680 9062720 9132824 9204736 9528340 9549752 9584944 9660416 10022735 10082276 10161664 10518910 10877296 10962944 11416030 11441684 11505920 11531776 11574272 11937190 11981180 12008104 12075520 12102656 12602845 12702080 13134848 13596620 13703680 13785088 14302105 14414720 14467840 14500352 15010130 15128320 15245344 16036376 16418560 16830256 17231360 18125440 18265648 18409472 19056680 19099504 19169888 20045470 20164552 20323328 21037820 21754592 22832060 22883368 23011840 23063552 23148544 23874380 23962360 24016208 24151040 24205312 25205690 25404160 26269696 27193240 27407360 28604210 28829440 28935680 29000704 30020260 30256640 30490688 32072752 32837120 33660512 34462720 36250880 36531296 38113360 38199008 38339776 40090940 40329104 40646656 42075640 43509184 45664120 45766736 46023680 46127104 47748760 47924720 48032416 48302080 50411380 50808320 54386480 54814720 57208420 57658880 57871360 58001408 60040520 60504959 60513280 60981376 64145504 65674240 67321024 68925440 72501760 73062592 76226720 76398016 76679552 80181880 80658208 84151280 87018368 91328240 91533472 92047360 95497520 95849440 96064832 100822760 101616640 106240991 108772960 114416840 115317760 115742720 120081040 121009918 121026560 121962752 128291008 131348480 133590157 134642048 145003520 146125184 151602313 152453440 152796032 153359104 160363760 161316416 168302560 174036736 182656480 183066944 190995040 191698880 192129664 201645520 203233280 212481982 217545920 228833680 230635520 240162080 242019836 243925504 254577469 256582016 267180314 269284096 290007040 292250368 302524795 303204626 304906880 305592064 306718208 320727520 322632832 336605120 348073472 365312960 366133888 381990080 383397760 384259328 403291040 424963964 435091840 457667360 480324160 484039672 487851008 509154938 513164032 531204955 534360628 538568192 584500736 605049590 606409252 609813760 611184128 613436416 641455040 645265664 667950785 673210240 696146944 730625920 732267776 758011565 763980160 766795520 768518656 806582080 849927928 870183680 915334720 960648320 968079344 975702016 1018309876 1026328064 1062409910 1068721256 1077136384 1169001472 1210099180 1212818504 1219627520 1222368256 1226872832 1272887345 1282910080 1290531328 1335901570 1346420480 1392293888 1461251840 1464535552 1516023130 1527960320 1533591040 1537037312 1613164160 1699855856 1740367360 1830669440 1921296640 1936158688 2036619752 2052656128 2124819820 2137442512 2154272768 2338002944 2420198360 2425637008 2439255040 2444736512 2545774690 2565820160 2581062656 2671803140 2692840960 2922503680 2929071104 3032046260 3055920640 3067182080 3074074624 3226328320 3399711712 3480734720 3661338880 3842593280 3872317376 4073239504 4105312256 4249639640 4274885024 4840396720 4851274016 4878510080 5091549380 5131640320 5162125312 5343606280 5385681920 5845007360 5858142208 6064092520 6111841280 6134364160 6452656640 6799423424 6961469440 7322677760 7685186560 7744634752 8146479008 8499279280 8549770048 9680793440 9702548032 10183098760 10263280640 10687212560 10771363840 11690014720 12128185040 12223682560 12905313280 13492605857 13598846848 14645355520 15370373120 15489269504 16292958016 16998558560 17099540096 19361586880 19405096064 20366197520 20526561280 21374425120 24256370080 25810626560 26985211714 27197693696 29290711040 30978539008 32585916032 33997117120 34199080192 38723173760 38810192128 40732395040 42748850240 48512740160 53970423428 54395387392 61957078016 65171832064 67463029285 67994234240 68398160384 77446347520 77620384256 81464790080 85497700480 97025480320 107940846856 108790774784 123914156032 130343664128 134926058570 135988468480 136796320768 154892695040 155240768512 162929580160 170995400960 194050960640 215881693712 217581549568 260687328256 269852117140 271976936960 273592641536 309785390080 310481537024 325859160320 341990801920 388101921280 431763387424 521374656512 539704234280 543953873920 619570780160 651718320640 683981603840 776203842560 863526774848 1079408468560 1087907747840 1303436641280 1367963207680 1552407685120 1727053549696 2158816937120 2606873282560 3454107099392 4317633874240 6908214198784 8635267748480 13816428397568 17270535496960 27632856795136 34541070993920 69082141987840 138164283975680
- Sum of all divisors σ(n): 349220383948800
- Sum of proper divisors (its aliquot sum) s(n): 211056099973120
- 138164283975680 is an abundant number, because the sum of its proper divisors (211056099973120) is greater than itself. Its abundance is 72891815997440
Bases of 138164283975680
- Binary: 111110110101000111000010001000100101000000000002
- Hexadecimal: 0x7DA8E1112800
- Base-36: 1CZ3SNDSE8
Squares and roots of 138164283975680
- 138164283975680 squared (1381642839756802) is 19089369366512345226831462400
- 138164283975680 cubed (1381642839756803) is 2637469050071458292432406355252380434432000
-
The
square root of 138164283975680 is 11754330.4350218095 -
The
cube root of 138164283975680 is 51696.9907193035
Scales and comparisons
How big is 138164283975680?- 138,164,283,975,680 seconds is equal to 4,393,196 years, 44 weeks, 5 days, 3 hours, 1 minute, 20 seconds.
-
To count from 1 to 138,164,283,975,680 would take you about ten million, nine hundred eighty-two thousand, nine hundred ninety-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 138164283975680 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138164283975680
- 138164283975680 backwards is 086579382461831
- The number of decimal digits it has is: 15
- The sum of 138164283975680's digits is 71
- More coming soon!
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The information we have on file for 138164283975680 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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