137993972198400
137,993,972,198,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 137993972198400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
137993972198400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 137993972198400:
210 × 35 × 52 × 533 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 53 × 53 × 53 × 149)See below for interesting mathematical facts about the number 137993972198400 from the Numbermatics database.
Names of 137993972198400
- Cardinal: 137993972198400 can be written as One hundred thirty-seven trillion, nine hundred ninety-three billion, nine hundred seventy-two million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.379939721984 × 1014
Factors of 137993972198400
Divisors of 137993972198400
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 81 90 96 100 106 108 120 128 135 144 149 150 159 160 162 180 192 200 212 216 225 240 243 256 265 270 288 298 300 318 320 324 360 384 400 405 424 432 447 450 477 480 486 512 530 540 576 596 600 636 640 648 675 720 745 768 795 800 810 848 864 894 900 954 960 972 1024 1060 1080 1152 1192 1200 1215 1272 1280 1296 1325 1341 1350 1431 1440 1490 1536 1590 1600 1620 1696 1728 1788 1800 1908 1920 1944 2025 2120 2160 2235 2304 2384 2385 2400 2430 2544 2560 2592 2650 2682 2700 2809 2862 2880 2980 3072 3180 3200 3240 3392 3456 3576 3600 3725 3816 3840 3888 3975 4023 4050 4240 4293 4320 4470 4608 4768 4770 4800 4860 5088 5120 5184 5300 5364 5400 5618 5724 5760 5960 6075 6360 6400 6480 6705 6784 6912 7152 7155 7200 7450 7632 7680 7776 7897 7950 8046 8100 8427 8480 8586 8640 8940 9216 9536 9540 9600 9720 10176 10368 10600 10728 10800 11175 11236 11448 11520 11920 11925 12069 12150 12720 12800 12879 12960 13410 13568 13824 14045 14304 14310 14400 14900 15264 15360 15552 15794 15900 16092 16200 16854 16960 17172 17280 17880 19072 19080 19200 19440 20115 20352 20736 21200 21456 21465 21600 22350 22472 22896 23040 23691 23840 23850 24138 24300 25281 25440 25600 25758 25920 26820 27136 27648 28090 28608 28620 28800 29800 30528 31104 31588 31800 32184 32400 33525 33708 33920 34344 34560 35760 35775 36207 38144 38160 38400 38880 39485 40230 40704 41472 42135 42400 42912 42930 43200 44700 44944 45792 46080 47382 47680 47700 48276 48600 50562 50880 51516 51840 53640 54272 56180 57216 57240 57600 59600 60345 61056 62208 63176 63600 64368 64395 64800 67050 67416 67840 68688 69120 70225 71073 71520 71550 72414 75843 76288 76320 76800 77760 78970 80460 81408 82944 84270 84800 85824 85860 86400 89400 89888 91584 94764 95360 95400 96552 97200 100575 101124 101760 103032 103680 107280 107325 112360 114432 114480 115200 118455 119200 120690 122112 124416 126352 126405 127200 128736 128790 129600 134100 134832 135680 137376 138240 140450 142146 143040 143100 144828 148877 151686 152576 152640 155520 157940 160920 162816 168540 169600 171648 171720 172800 178800 179776 181035 183168 189528 190720 190800 193104 194400 197425 201150 202248 203520 206064 207360 210675 213219 214560 214650 224720 227529 228864 228960 230400 236910 238400 241380 244224 248832 252704 252810 254400 257472 257580 259200 268200 269664 271360 274752 280900 284292 286080 286200 289656 297754 301725 303372 305280 311040 315880 321840 321975 337080 339200 343296 343440 345600 355365 357600 359552 362070 366336 379056 379215 381440 381600 386208 388800 394850 402300 404496 407040 412128 414720 418541 421350 426438 429120 429300 446631 449440 455058 457728 457920 473820 476800 482760 488448 505408 505620 508800 514944 515160 518400 536400 539328 549504 561800 568584 572160 572400 579312 592275 595508 603450 606744 610560 622080 631760 632025 639657 643680 643950 674160 678400 682587 686592 686880 691200 710730 715200 719104 724140 732672 744385 758112 758430 762880 763200 772416 777600 789700 804600 808992 814080 824256 837082 842700 852876 858240 858600 893262 898880 905175 910116 915840 947640 953600 965520 1010816 1011240 1017600 1029888 1030320 1036800 1066095 1072800 1078656 1099008 1123600 1137168 1137645 1144320 1144800 1158624 1184550 1191016 1206900 1213488 1221120 1244160 1255623 1263520 1264050 1279314 1287360 1287900 1339893 1348320 1356800 1365174 1373184 1373760 1421460 1430400 1438208 1448280 1465344 1488770 1516224 1516860 1526400 1544832 1555200 1579400 1609200 1617984 1648512 1674164 1685400 1705752 1716480 1717200 1776825 1786524 1797760 1810350 1820232 1831680 1895280 1896075 1907200 1918971 1931040 2021632 2022480 2035200 2059776 2060640 2073600 2092705 2132190 2145600 2157312 2198016 2233155 2247200 2274336 2275290 2288640 2289600 2317248 2369100 2382032 2413800 2426976 2442240 2511246 2527040 2528100 2558628 2574720 2575800 2679786 2696640 2730348 2747520 2842920 2860800 2876416 2896560 2977540 3032448 3033720 3052800 3089664 3110400 3158800 3198285 3218400 3235968 3297024 3348328 3370800 3411504 3412935 3432960 3434400 3553650 3573048 3595520 3620700 3640464 3663360 3721925 3766869 3790560 3792150 3814400 3837942 3862080 4019679 4043264 4044960 4070400 4119552 4121280 4185410 4264380 4291200 4314624 4396032 4466310 4494400 4548672 4550580 4579200 4634496 4738200 4764064 4827600 4853952 5022492 5054080 5056200 5117256 5149440 5151600 5330475 5359572 5393280 5460696 5495040 5685840 5688225 5721600 5793120 5955080 6064896 6067440 6105600 6179328 6220800 6278115 6317600 6396570 6436800 6471936 6594048 6696656 6699465 6741600 6823008 6825870 6865920 6868800 7107300 7146096 7191040 7241400 7280928 7326720 7443850 7533738 7581120 7584300 7675884 7724160 8039358 8086528 8089920 8242560 8370820 8528760 8582400 8629248 8932620 8988800 9097344 9101160 9158400 9268992 9476400 9528128 9594855 9655200 9707904 10044984 10108160 10112400 10234512 10298880 10303200 10463525 10660950 10719144 10786560 10921392 10990080 11165775 11300607 11371680 11376450 11443200 11586240 11910160 12059037 12129792 12134880 12211200 12358656 12556230 12635200 12793140 12873600 12943872 13188096 13393312 13398930 13483200 13646016 13651740 13737600 14214600 14292192 14382080 14482800 14561856 14887700 15067476 15162240 15168600 15351768 15448320 15991425 16078716 16179840 16485120 16741640 17057520 17064675 17164800 17865240 17977600 18194688 18202320 18316800 18537984 18834345 18952800 19056256 19189710 19310400 19415808 20089968 20098395 20216320 20224800 20469024 20597760 20606400 20927050 21321900 21438288 21573120 21842784 21980160 22182673 22331550 22601214 22743360 22752900 23172480 23820320 24118074 24259584 24269760 25112460 25270400 25586280 25747200 25887744 26786624 26797860 26966400 27292032 27303480 27475200 28429200 28584384 28965600 29123712 29775400 30134952 30324480 30337200 30703536 30896640 31390575 31982850 32157432 32359680 32970240 33483280 33497325 33901821 34115040 34129350 34329600 35730480 35955200 36177111 36389376 36404640 36633600 37075968 37668690 37905600 38112512 38379420 38620800 38831616 40179936 40196790 40432640 40449600 40938048 41212800 41854100 42643800 42876576 43146240 43685568 44365346 44663100 45202428 45486720 45505800 46344960 47640640 47974275 48236148 48539520 50224920 50540800 51172560 51494400 53573248 53595720 53932800 54584064 54606960 54950400 56503035 56858400 57168768 57931200 58247424 59550800 60269904 60295185 60648960 60674400 61407072 61793280 62781150 63965700 64314864 64719360 65940480 66548019 66966560 66994650 67803642 68230080 68258700 71460960 71910400 72354222 72778752 72809280 75337380 75811200 76225024 76758840 77241600 77663232 80359872 80393580 80899200 81876096 82425600 83708200 85287600 85753152 87371136 88730692 89326200 90404856 90973440 91011600 92689920 94171725 95281280 95948550 96472296 97079040 100449840 100491975 101081600 101705463 102345120 102988800 107146496 107191440 107865600 109168128 109213920 109900800 110913365 113006070 113716800 114337536 115862400 116494848 119101600 120539808 120590370 121297920 121348800 122814144 125562300 127931400 128629728 129438720 133096038 133933120 133989300 135607284 136460160 136517400 142921920 144708444 145618560 150674760 151622400 152450048 153517680 154483200 160719744 160787160 161798400 163752192 164851200 167416400 169509105 170575200 171506304 174742272 177461384 178652400 180809712 180885555 181946880 182023200 185379840 188343450 190562560 191897100 192944592 194158080 199644057 200899680 200983950 202163200 203410926 204690240 214292992 214382880 215731200 218336256 218427840 221826730 226012140 227433600 228675072 231724800 232989696 238203200 241079616 241180740 242697600 245628288 251124600 255862800 257259456 266192076 267866240 267978600 271214568 272920320 273034800 282515175 285843840 289416888 291237120 301349520 301475925 303244800 307035360 308966400 321439488 321574320 323596800 327504384 329702400 332740095 334832800 339018210 341150400 343012608 349484544 354922768 357304800 361619424 361771110 363893760 364046400 376686900 381125120 383794200 385889184 388316160 399288114 401799360 401967900 406821852 409380480 428585984 428765760 436855680 443653460 452024280 454867200 457350144 463449600 476406400 482159232 482361480 485395200 491256576 502249200 508527315 511725600 514518912 532384152 535732480 535957200 542429136 545840640 546069600 554566825 565030350 571687680 578833776 582474240 598932171 602699040 602951850 606489600 614070720 642878976 643148640 647193600 655008768 665480190 669665600 678036420 682300800 686025216 698969088 709845536 714609600 723238848 723542220 728092800 753373800 762250240 767588400 771778368 798576228 803598720 803935800 813643704 818760960 847545525 857531520 873711360 887306920 904048560 904427775 909734400 926899200 952812800 964318464 964722960 970790400 982513152 998220285 1004498400 1017054630 1023451200 1029037824 1064768304 1071464960 1071914400 1084858272 1091681280 1092139200 1109133650 1130060700 1143375360 1157667552 1164948480 1197864342 1205398080 1205903700 1228141440 1285757952 1286297280 1330960380 1339331200 1356072840 1364601600 1372050432 1419691072 1429219200 1446477696 1447084440 1456185600 1506747600 1535176800 1543556736 1597152456 1607197440 1607871600 1627287408 1637521920 1663700475 1695091050 1715063040 1747422720 1774613840 1796796513 1808097120 1808855550 1819468800 1905625600 1928636928 1929445920 1941580800 1965026304 1996440570 2008996800 2034109260 2046902400 2058075648 2129536608 2142929920 2143828800 2169716544 2184278400 2218267300 2260121400 2286750720 2315335104 2395728684 2410796160 2411807400 2456282880 2542636575 2572594560 2661920760 2678662400 2712145680 2729203200 2839382144 2858438400 2892955392 2894168880 2912371200 2994660855 3013495200 3070353600 3087113472 3194304912 3214394880 3215743200 3254574816 3275043840 3327400950 3390182100 3430126080 3494845440 3549227680 3593593026 3616194240 3617711100 3811251200 3857273856 3858891840 3992881140 4017993600 4068218520 4093804800 4116151296 4259073216 4287657600 4339433088 4368556800 4436534600 4520242800 4630670208 4791457368 4821592320 4823614800 4912565760 4991101425 5085273150 5145189120 5323841520 5357324800 5390389539 5424291360 5458406400 5678764288 5716876800 5785910784 5788337760 5824742400 5989321710 6026990400 6140707200 6174226944 6388609824 6428789760 6431486400 6509149632 6654801900 6780364200 6860252160 7098455360 7187186052 7232388480 7235422200 7717783680 7985762280 8035987200 8136437040 8187609600 8518146432 8575315200 8678866176 8737113600 8873069200 8983982565 9040485600 9261340416 9582914736 9643184640 9647229600 9825131520 9982202850 10170546300 10290378240 10647683040 10714649600 10780779078 10848582720 11357528576 11433753600 11571821568 11576675520 11978643420 12053980800 12281414400 12348453888 12777219648 12862972800 13018299264 13309603800 13560728400 14196910720 14374372104 14464776960 14470844400 14973304275 15435567360 15971524560 16071974400 16272874080 16375219200 17036292864 17150630400 17357732352 17474227200 17746138400 17967965130 18080971200 18522680832 19165829472 19286369280 19294459200 19964405700 20341092600 20580756480 21295366080 21561558156 21697165440 22715057152 23153351040 23957286840 24107961600 24562828800 25554439296 25725945600 26036598528 26619207600 26951947695 27121456800 28393821440 28748744208 28929553920 28941688800 29946608550 30871134720 31943049120 32143948800 32545748160 34072585728 34301260800 34715464704 35492276800 35935930260 36161942400 37045361664 38331658944 38588918400 39928811400 40682185200 42590732160 43123116312 43394330880 44919912825 46306702080 47914573680 48215923200 49125657600 51108878592 51451891200 52073197056 53238415200 53903895390 54242913600 56787642880 57497488416 57859107840 57883377600 59893217100 61742269440 63886098240 65091496320 68145171456 70984553600 71871860520 72323884800 76663317888 77177836800 79857622800 81364370400 85181464320 86246232624 86788661760 89839825650 92613404160 95829147360 96431846400 102217757184 102903782400 104146394112 106476830400 107807790780 108485827200 113575285760 114994976832 115766755200 119786434200 127772196480 130182992640 134759738475 141969107200 143743721040 144647769600 153326635776 154355673600 159715245600 162728740800 170362928640 172492465248 173577323520 179679651300 185226808320 191658294720 204435514368 212953660800 215615581560 216971654400 229989953664 231533510400 239572868400 255544392960 260365985280 269519476950 283938214400 287487442080 289295539200 306653271552 308711347200 319430491200 325457481600 340725857280 344984930496 359359302600 383316589440 425907321600 431231163120 433943308800 459979907328 463067020800 479145736800 511088785920 520731970560 539038953900 567876428800 574974884160 613306543104 638860982400 650914963200 689969860992 718718605200 766633178880 851814643200 862462326240 867886617600 919959814656 926134041600 958291473600 1022177571840 1078077907800 1149949768320 1277721964800 1301829926400 1379939721984 1437437210400 1533266357760 1703629286400 1724924652480 1839919629312 1916582947200 2156155815600 2299899536640 2555443929600 2603659852800 2759879443968 2874874420800 3066532715520 3449849304960 3833165894400 4312311631200 4599799073280 5110887859200 5519758887936 5749748841600 6899698609920 7666331788800 8624623262400 9199598146560 11499497683200 13799397219840 15332663577600 17249246524800 22998995366400 27598794439680 34498493049600 45997990732800 68996986099200 137993972198400
- Sum of all divisors σ(n): 525741498828000
- Sum of proper divisors (its aliquot sum) s(n): 387747526629600
- 137993972198400 is an abundant number, because the sum of its proper divisors (387747526629600) is greater than itself. Its abundance is 249753554431200
Bases of 137993972198400
- Binary: 111110110000001001110011011000110101100000000002
- Hexadecimal: 0x7D8139B1AC00
- Base-36: 1CWXK05C00
Squares and roots of 137993972198400
- 137993972198400 squared (1379939721984002) is 19042336363092792128962560000
- 137993972198400 cubed (1379939721984003) is 2627727634681208124883489852074491904000000
-
The
square root of 137993972198400 is 11747083.5613951431 -
The
cube root of 137993972198400 is 51675.7401077431
Scales and comparisons
How big is 137993972198400?- 137,993,972,198,400 seconds is equal to 4,387,781 years, 24 weeks, 4 days.
-
To count from 1 to 137,993,972,198,400 would take you about ten million, nine hundred sixty-nine thousand, four hundred fifty-three 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 137993972198400 cubic inches would be around 4306.3 feet tall.
Recreational maths with 137993972198400
- 137993972198400 backwards is 004891279399731
- 137993972198400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137993972198400's digits is 72
- More coming soon!
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"Number 137993972198400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 137993972198400 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/137993972198400/
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The information we have on file for 137993972198400 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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