138446748840960
138,446,748,840,960 is an even composite number composed of six prime numbers multiplied together.
138446748840960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138446748840960:
210 × 33 × 5 × 7 × 312 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 31 × 31 × 53 × 53 × 53)See below for interesting mathematical facts about the number 138446748840960 from the Numbermatics database.
Names of 138446748840960
- Cardinal: 138446748840960 can be written as One hundred thirty-eight trillion, four hundred forty-six billion, seven hundred forty-eight million, eight hundred forty thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3844674884096 × 1014
Factors of 138446748840960
Divisors of 138446748840960
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 53 54 56 60 62 63 64 70 72 80 84 90 93 96 105 106 108 112 120 124 126 128 135 140 144 155 159 160 168 180 186 189 192 210 212 216 217 224 240 248 252 256 265 270 279 280 288 310 315 318 320 336 360 371 372 378 384 420 424 432 434 448 465 477 480 496 504 512 530 540 558 560 576 620 630 636 640 651 672 720 742 744 756 768 795 837 840 848 864 868 896 930 945 954 960 961 992 1008 1024 1060 1080 1085 1113 1116 1120 1152 1240 1260 1272 1280 1302 1344 1395 1431 1440 1484 1488 1512 1536 1590 1643 1674 1680 1696 1728 1736 1792 1855 1860 1890 1908 1920 1922 1953 1984 2016 2120 2160 2170 2226 2232 2240 2304 2385 2480 2520 2544 2560 2604 2688 2790 2809 2862 2880 2883 2968 2976 3024 3072 3180 3255 3286 3339 3348 3360 3392 3456 3472 3584 3710 3720 3780 3816 3840 3844 3906 3968 4032 4185 4240 4320 4340 4452 4464 4480 4608 4770 4805 4929 4960 5040 5088 5120 5208 5376 5565 5580 5618 5724 5760 5766 5859 5936 5952 6048 6360 6510 6572 6678 6696 6720 6727 6784 6912 6944 7155 7168 7420 7440 7560 7632 7680 7688 7812 7936 8064 8215 8370 8427 8480 8640 8649 8680 8904 8928 8960 9216 9540 9610 9765 9858 9920 10017 10080 10176 10416 10752 11130 11160 11236 11448 11501 11520 11532 11718 11872 11904 12096 12720 13020 13144 13356 13392 13440 13454 13568 13824 13888 14045 14310 14415 14787 14840 14880 15120 15264 15360 15376 15624 15872 16128 16430 16695 16740 16854 16960 17280 17298 17360 17808 17856 17920 19080 19220 19530 19663 19716 19840 20034 20160 20181 20352 20832 21504 22260 22320 22472 22896 23002 23040 23064 23436 23744 23808 24192 24645 25281 25440 25947 26040 26288 26712 26784 26880 26908 27136 27648 27776 28090 28620 28830 29295 29574 29680 29760 30240 30528 30752 31248 31744 32256 32860 33390 33480 33635 33708 33920 34503 34560 34596 34720 35616 35712 35840 38160 38440 39060 39326 39432 39680 40068 40320 40362 40704 41664 42135 43245 44361 44520 44640 44944 45792 46004 46080 46128 46872 47488 47616 48384 49290 50085 50562 50880 50933 51894 52080 52576 53424 53568 53760 53816 54272 55552 56180 57240 57505 57660 58590 58989 59148 59360 59520 60480 60543 61056 61504 62496 64512 65720 66780 66960 67270 67416 67840 69006 69120 69192 69440 71232 71424 73935 75843 76320 76880 78120 78652 78864 79360 80136 80640 80724 81408 83328 84270 86490 87079 88722 89040 89280 89888 91584 92008 92256 93744 94976 95232 96768 98315 98580 100170 100905 101124 101760 101866 103509 103788 104160 105152 106848 107136 107520 107632 111104 112360 114480 115010 115320 117180 117978 118296 118720 119040 120960 121086 122112 123008 124992 126405 129735 131440 133560 133920 134540 134832 135680 138012 138240 138384 138880 142464 142848 147870 148877 151686 152640 152799 153760 156240 157304 157728 158720 160272 161280 161448 162816 166656 168540 172515 172980 174158 176967 177444 178080 178560 179776 181629 183168 184016 184512 187488 189952 193536 196630 197160 200340 201810 202248 203520 203732 207018 207576 208320 210304 213696 214272 215264 221805 222208 224720 228960 230020 230640 234360 235956 236592 237440 238080 241920 242172 244224 246016 249984 252810 254665 259470 261237 262880 267120 267840 269080 269664 271360 276024 276768 277760 284928 285696 294945 295740 297754 302715 303372 305280 305598 307520 310527 312480 314608 315456 320544 322560 322896 333312 337080 345030 345960 348316 353934 354888 356160 356531 357120 359552 363258 366336 368032 369024 374976 379215 379904 393260 394320 400680 403620 404496 407040 407464 414036 415152 416640 420608 427392 428544 430528 435395 443610 446631 449440 457920 458397 460040 461280 468720 471912 473184 474880 476160 483840 484344 488448 492032 499968 505620 509330 517545 518940 522474 525760 530901 534240 535680 538160 539328 552048 553536 555520 569856 589890 591480 595508 605430 606744 609553 610560 611196 615040 621054 624960 629216 630912 641088 645792 666624 674160 690060 691920 696632 707868 709776 712320 713062 714240 719104 726516 732672 736064 738048 744385 749952 758430 763995 783711 786520 788640 801360 807240 808992 814080 814928 828072 830304 833280 841216 854784 857088 861056 870790 884835 887220 893262 898880 908145 915840 916794 920080 922560 937440 943824 946368 949760 967680 968688 984064 999936 1011240 1018660 1035090 1037880 1042139 1044948 1051520 1061802 1068480 1069593 1071360 1076320 1078656 1104096 1107072 1111040 1139712 1179780 1182960 1191016 1210860 1213488 1219106 1221120 1222392 1230080 1242108 1249920 1258432 1261824 1282176 1291584 1306185 1339893 1348320 1375191 1380120 1383840 1393264 1415736 1419552 1424640 1426124 1428480 1438208 1453032 1465344 1472128 1476096 1488770 1499904 1516860 1527990 1552635 1567422 1573040 1577280 1602720 1614480 1617984 1629856 1656144 1660608 1666560 1682432 1709568 1722112 1741580 1769670 1774440 1782655 1786524 1797760 1816290 1828659 1831680 1833588 1840160 1845120 1874880 1887648 1892736 1899520 1937376 1999872 2022480 2037320 2070180 2075760 2084278 2089896 2103040 2123604 2136960 2139186 2142720 2152640 2157312 2208192 2214144 2233155 2291985 2351133 2359560 2365920 2382032 2421720 2426976 2438212 2442240 2444784 2460160 2484216 2499840 2516864 2523648 2564352 2583168 2612370 2654505 2679786 2696640 2699449 2750382 2760240 2767680 2786528 2831472 2839104 2849280 2852248 2876416 2906064 2944256 2952192 2977540 2999808 3033720 3047765 3055980 3105270 3126417 3134844 3146080 3154560 3205440 3208779 3228960 3235968 3259712 3312288 3321216 3333120 3419136 3444224 3483160 3539340 3548880 3565310 3573048 3595520 3632580 3657318 3663360 3667176 3680320 3690240 3749760 3775296 3785472 3874752 3918555 4019679 4044960 4074640 4140360 4151520 4168556 4179792 4206080 4247208 4273920 4278372 4285440 4305280 4314624 4416384 4428288 4466310 4583970 4615187 4702266 4719120 4731840 4764064 4843440 4853952 4876424 4889568 4920320 4968432 4999680 5033728 5047296 5128704 5166336 5210695 5224740 5309010 5347965 5359572 5393280 5398898 5485977 5500764 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13932640 14157360 14195520 14261240 14292192 14382080 14530320 14629272 14668704 14721280 14760960 14999040 15101184 15141888 15499008 15632085 15674220 16043895 16078716 16179840 16196694 16298560 16457931 16561440 16606080 16674224 16719168 16988832 17095680 17113488 17221120 17665536 17865240 18286590 18335880 18460748 18758502 18809064 18876480 18896143 18927360 19056256 19252674 19373760 19415808 19505696 19558272 19873728 20098395 20134912 20665344 20842780 20898960 21236040 21391860 21438288 21573120 21595592 21943908 22003056 22081920 22141440 22292224 22651776 22712832 22817984 23075935 23248512 23511330 23820320 24269760 24295041 24382120 24447840 24842160 25011336 25078752 25168640 25236480 25643520 25670232 25831680 25887744 26077696 26498304 26569728 26797860 26994490 27429885 27503820 27691122 27865280 28137753 28314720 28391040 28522480 28584384 29060640 29258544 29337408 29442560 29998080 30202368 30998016 31264170 31348440 32087790 32157432 32306309 32359680 32393388 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78022784 78233088 79494912 80393580 80983470 82289655 83073366 83371120 83595840 84944160 85567440 85753152 86382368 87775632 88012224 88327680 89168896 90607104 91271936 92303740 92994048 93792510 94045320 94480715 95281280 96263370 96918927 97079040 97180164 97528480 97791360 99368640 100045344 100315008 100674560 102680928 103326720 105993216 107191440 107977960 109719540 110015280 110764488 111461120 112551012 113258880 113376858 113564160 114089920 114337536 116242560 117034176 117349632 121475205 124610049 125056680 125393760 128351160 128629728 129225236 129438720 129573552 130388480 131663448 132491520 132848640 133393792 133753344 135910656 136907904 138455610 140688765 142921920 143070797 145770246 146292720 146687040 147685984 150068016 150472512 151011840 151169144 152450048 154021392 154990080 156045568 156466176 158989824 160787160 161531545 161966940 164579310 166146732 166742240 167191680 169888320 170065287 171134880 171506304 172764736 175551264 176024448 176655360 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429212391 431911840 438878160 440061120 443057952 445844480 450204048 453035520 453507432 456359680 457350144 464970240 468136704 469398528 484594635 485900820 498440196 500226720 501575040 510195861 513404640 514518912 516900944 518294208 526653792 529966080 533575168 543642624 547631616 553822440 562755060 566884290 571687680 572283188 581513562 583080984 585170880 586748160 590743936 600272064 601890048 604676576 616085568 623050245 624182272 643148640 646126180 647867760 658317240 664586928 666968960 668766720 679553280 680261148 684539520 686025216 691058944 702205056 704097792 715353985 728851230 738429920 750340080 752362560 755845720 762250240 770106960 775351416 777441312 780227840 782330880 794949120 800362752 802520064 821447424 830733660 850326435 857531520 858424782 863823680 872270343 877756320 880122240 886115904 900408096 906071040 907014864 912719360 929940480 936273408 969189270 971801640 996880392 1000453440 1001495579 1003150080 1020391722 1026809280 1029037824 1033801888 1036588416 1053307584 1067150336 1095263232 1107644880 1125510120 1133768580 1143375360 1144566376 1163027124 1166161968 1170341760 1173496320 1181487872 1200544128 1203780096 1209353152 1232171136 1246100490 1286297280 1287637173 1292252360 1295735520 1316634480 1329173856 1333937920 1337533440 1359106560 1360522296 1369079040 1372050432 1382117888 1404410112 1408195584 1430707970 1453783905 1457702460 1476859840 1500680160 1504725120 1511691440 1540213920 1550702832 1554882624 1560455680 1589898240 1600725504 1642894848 1661467320 1700652870 1715063040 1716849564 1727647360 1744540686 1755512640 1760244480 1772231808 1800816192 1814029728 1825438720 1872546816 1938378540 1943603280 1993760784 2000906880 2002991158 2006300160 2040783444 2053618560 2058075648 2067603776 2073176832 2106615168 2146061955 2215289760 2251020240 2267537160 2286750720 2289132752 2326054248 2332323936 2340683520 2346992640 2362975744 2401088256 2407560192 2418706304 2464342272 2492200980 2550979305 2572594560 2575274346 2584504720 2591471040 2633268960 2658347712 2667875840 2718213120 2721044592 2738158080 2764235776 2808820224 2861415940 2907567810 2915404920 2953719680 3001360320 3004486737 3009450240 3023382880 3080427840 3101405664 3109765248 3120911360 3201451008 3285789696 3322934640 3401305740 3430126080 3433699128 3455294720 3489081372 3511025280 3520488960 3544463616 3601632384 3628059456 3862911519 3876757080 3887206560 3987521568 4001813760 4005982316 4012600320 4081566888 4107237120 4116151296 4135207552 4146353664 4213230336 4292123910 4361351715 4430579520 4502040480 4535074320 4578265504 4652108496 4664647872 4681367040 4725951488 4802176512 4837412608 4928684544 4984401960 5007477895 5101958610 5145189120 5150548692 5169009440 5182942080 5266537920 5316695424 5335751680 5442089184 5476316160 5617640448 5722831880 5815135620 5830809840 5907439360 6002720640 6008973474 6018900480 6046765760 6160855680 6202811328 6219530496 6438185865 6645869280 6802611480 6860252160 6867398256 6910589440 6978162744 7022050560 7040977920 7088927232 7203264768 7256118912 7725823038 7753514160 7774413120 7975043136 8003627520 8011964632 8163133776 8214474240 8270415104 8292707328 8426460672 8584247820 8722703430 8861159040 9004080960 9013460211 9070148640 9156531008 9304216992 9329295744 9362734080 9604353024 9674825216 9857369088 9968803920 10014955790 10203917220 10290378240 10301097384 10338018880 10365884160 10533075840 10633390848 10884178368 11445663760 11630271240 11661619680 11814878720 12005441280 12017946948 12037800960 12093531520 12321711360 12405622656 12439060992 12876371730 13291738560 13605222960 13734796512 13821178880 13956325488 14044101120 14177854464 14406529536 14512237824 15022433685 15451646076 15507028320 15548826240 15950086272 16007255040 16023929264 16326267552 16428948480 16540830208 16852921344 17168495640 17445406860 17722318080 18008161920 18026920422 18140297280 18313062016 18608433984 18658591488 19314557595 19349650432 19937607840 20029911580 20407834440 20580756480 20602194768 20676037760 20731768320 21066151680 21266781696 21768356736 22891327520 23260542480 23323239360 23629757440 24010882560 24035893896 24187063040 24643422720 24811245312 24878121984 25752743460 26583477120 27040380633 27210445920 27469593024 27912650976 28088202240 28813059072 29024475648 30044867370 30903292152 31014056640 31097652480 31900172544 32047858528 32652535104 33081660416 34336991280 34890813720 35444636160 36016323840 36053840844 36280594560 36626124032 37216867968 37317182976 38629115190 39875215680 40059823160 40815668880 41204389536 41352075520 41463536640 42132303360 42533563392 43536713472 45067301055 45782655040 46521084960 46646478720 48021765120 48071787792 48374126080 49286845440 49622490624 51505486920 53166954240 54080761266 54420891840 54939186048 55825301952 58048951296 60089734740 61806584304 62028113280 62195304960 63800345088 64095717056 65305070208 68673982560 69781627440 70889272320 72032647680 72107681688 72561189120 73252248064 74433735936 74634365952 77258230380 79750431360 80119646320 81631337760 82408779072 82704151040 84264606720 87073426944 90134602110 91565310080 93042169920 93292957440 96143575584 96748252160 99244981248 103010973840 106333908480 108161522532 108841783680 109878372096 111650603904 120179469480 123613168608 124056226560 124390609920 127600690176 128191434112 130610140416 135201903165 137347965120 139563254880 144065295360 144215363376 145122378240 146504496128 148867471872 154516460760 159500862720 160239292640 163262675520 164817558144 165408302080 174146853888 180269204220 183130620160 186084339840 186585914880 192287151168 206021947680 212667816960 216323045064 217683567360 219756744192 223301207808 240358938960 247226337216 248112453120 256382868224 261220280832 270403806330 274695930240 279126509760 288430726752 290244756480 297734943744 309032921520 319001725440 320478585280 326525351040 329635116288 360538408440 366261240320 372168679680 373171829760 384574302336 412043895360 432646090128 435367134720 439513488384 446602415616 480717877920 494452674432 496224906240 512765736448 522440561664 540807612660 549391860480 558253019520 576861453504 618065843040 638003450880 640957170560 653050702080 659270232576 721076816880 732522480640 744337359360 769148604672 824087790720 865292180256 870734269440 893204831232 961435755840 988905348864 1025531472896 1081615225320 1098783720960 1116506039040 1153722907008 1236131686080 1281914341120 1306101404160 1318540465152 1442153633760 1488674718720 1538297209344 1648175581440 1730584360512 1922871511680 1977810697728 2163230450640 2197567441920 2233012078080 2307445814016 2472263372160 2563828682240 2612202808320 2884307267520 3076594418688 3296351162880 3461168721024 3845743023360 3955621395456 4326460901280 4466024156160 4614891628032 4944526744320 5127657364480 5768614535040 6592702325760 6922337442048 7691486046720 8652921802560 9229783256064 9889053488640 11537229070080 13844674884096 15382972093440 17305843605120 19778106977280 23074458140160 27689349768192 34611687210240 46148916280320 69223374420480 138446748840960
- Sum of all divisors σ(n): 592199995276800
- Sum of proper divisors (its aliquot sum) s(n): 453753246435840
- 138446748840960 is an abundant number, because the sum of its proper divisors (453753246435840) is greater than itself. Its abundance is 315306497594880
Bases of 138446748840960
- Binary: 111110111101010101001010100100011110100000000002
- Hexadecimal: 0x7DEAA548F400
- Base-36: 1D2PK3O5C0
Squares and roots of 138446748840960
- 138446748840960 squared (1384467488409602) is 19167502264631859103373721600
- 138446748840960 cubed (1384467488409603) is 2653678371940019014521095815750521716736000
-
The
square root of 138446748840960 is 11766339.6534759271 -
The
cube root of 138446748840960 is 51732.1967391437
Scales and comparisons
How big is 138446748840960?- 138,446,748,840,960 seconds is equal to 4,402,178 years, 19 weeks, 1 day, 9 hours, 36 minutes.
-
To count from 1 to 138,446,748,840,960 would take you about eleven million, five thousand, four hundred forty-five 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 138446748840960 cubic inches would be around 4311 feet tall.
Recreational maths with 138446748840960
- 138446748840960 backwards is 069048847644831
- 138446748840960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138446748840960's digits is 72
- More coming soon!
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"Number 138446748840960 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 138446748840960 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/138446748840960/
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Numbermatics. 2024. "Number 138446748840960 - Facts about the integer". https://numbermatics.com/n/138446748840960/
The information we have on file for 138446748840960 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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