138030102174720
138,030,102,174,720 is an even composite number composed of eight prime numbers multiplied together.
138030102174720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138030102174720:
210 × 3 × 5 × 7 × 292 × 31 × 41 × 1201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 29 × 31 × 41 × 1201)See below for interesting mathematical facts about the number 138030102174720 from the Numbermatics database.
Names of 138030102174720
- Cardinal: 138030102174720 can be written as One hundred thirty-eight trillion, thirty billion, one hundred two million, one hundred seventy-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3803010217472 × 1014
Factors of 138030102174720
Divisors of 138030102174720
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 31 32 35 40 41 42 48 56 58 60 62 64 70 80 82 84 87 93 96 105 112 116 120 123 124 128 140 145 155 160 164 168 174 186 192 203 205 210 217 224 232 240 246 248 256 280 287 290 310 320 328 336 348 372 384 406 410 420 434 435 448 464 465 480 492 496 512 560 574 580 609 615 620 640 651 656 672 696 744 768 812 820 840 841 861 868 870 896 899 928 930 960 984 992 1015 1024 1085 1120 1148 1160 1189 1201 1218 1230 1240 1271 1280 1302 1312 1344 1392 1435 1488 1536 1624 1640 1680 1682 1722 1736 1740 1792 1798 1856 1860 1920 1968 1984 2030 2170 2240 2296 2320 2378 2402 2436 2460 2480 2523 2542 2560 2604 2624 2688 2697 2784 2870 2976 3045 3072 3248 3255 3280 3360 3364 3444 3472 3480 3567 3584 3596 3603 3712 3720 3813 3840 3936 3968 4060 4205 4305 4340 4480 4495 4592 4640 4756 4804 4872 4920 4960 5046 5084 5120 5208 5248 5376 5394 5568 5740 5887 5945 5952 6005 6090 6293 6355 6496 6510 6560 6720 6728 6888 6944 6960 7134 7168 7192 7206 7424 7440 7626 7680 7872 7936 8120 8323 8407 8410 8610 8680 8897 8960 8990 9184 9280 9512 9608 9744 9840 9920 10092 10168 10416 10496 10752 10788 11136 11480 11774 11890 11904 12010 12180 12586 12615 12710 12992 13020 13120 13440 13456 13485 13776 13888 13920 14268 14384 14412 14848 14880 15252 15360 15744 15872 16240 16646 16814 16820 17220 17360 17661 17794 17835 17920 17980 18015 18368 18560 18879 19024 19065 19216 19488 19680 19840 20184 20336 20832 20992 21504 21576 22272 22960 23548 23780 23808 24020 24360 24969 25172 25221 25230 25420 25984 26040 26071 26240 26691 26880 26912 26970 27552 27776 27840 28536 28768 28824 29435 29696 29760 30504 31465 31488 31744 32480 33292 33628 33640 34440 34481 34720 34829 35322 35588 35670 35840 35960 36030 36736 36859 37120 37231 37758 38048 38130 38432 38976 39360 39680 40368 40672 41615 41664 41984 42035 43152 44485 44544 45920 47096 47560 47616 48040 48720 49241 49938 50344 50442 50460 50840 51968 52080 52142 52480 53382 53760 53824 53940 55104 55552 55680 57072 57536 57648 58870 59520 61008 62930 62976 64960 66584 67256 67280 68880 68962 69440 69658 70644 71176 71340 71920 72060 73472 73718 74240 74462 75516 76096 76260 76864 77952 78213 78720 79360 80736 81344 83230 83328 84070 86304 88305 88970 89088 91840 94192 94395 95120 95232 96080 97440 98482 99876 100688 100884 100920 101680 103443 103936 104160 104284 104487 104960 106764 107520 107648 107880 110208 110577 111104 111360 111693 114144 115072 115296 117740 119040 122016 124845 125860 125952 126105 129920 130355 133168 133455 134512 134560 137760 137924 138880 139316 141288 142352 142680 143840 144120 146944 147436 147723 148480 148924 151032 152192 152520 153728 155904 156426 157440 158720 161472 162688 166460 166656 168140 172405 172608 174145 176610 177940 182497 183680 184295 186155 188384 188790 190240 192160 194880 196964 199752 201376 201768 201840 203360 206886 207872 208320 208568 208974 209920 213528 215296 215760 220416 221154 222208 222720 223386 228288 230144 230592 235480 238080 241367 243803 244032 246205 249690 251720 252210 258013 259840 260617 260710 266336 266910 269024 269120 275520 275848 277760 278632 282576 284704 285360 287680 288240 293888 294872 295446 297848 302064 304384 305040 307456 311808 312852 314880 322944 325376 332920 333312 336280 344687 344810 345216 348290 353220 355880 364994 367360 368590 372310 376768 377580 380480 384320 389760 391065 393928 399504 402752 403536 403680 406720 413772 416640 417136 417948 427056 430592 431520 440832 442308 445440 446772 456576 460288 461184 470960 476160 482734 487606 488064 492410 499380 503440 504420 516026 517215 519680 521234 521420 522435 532672 533820 538048 538240 547491 551040 551696 552885 555520 557264 558465 565152 569408 570720 575360 576480 589744 590892 595696 604128 608768 610080 614912 623616 625704 629760 645888 650752 665840 666624 672560 689374 689620 690432 696580 706440 711760 724101 729988 731409 734720 737180 738615 744620 753536 755160 760960 768640 774039 779520 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66051328 66179904 66203520 66717952 66741760 66871680 68328960 68410304 68543472 69100736 70078848 70702870 70769280 71483520 73270608 74823770 75578930 75634176 77237440 78016960 79967384 80090112 80803280 82564160 82724880 82823362 83397440 84843444 85482376 85512880 85679340 86375920 87598560 88239872 88271360 88535318 89162240 89788524 90424320 90694716 91391296 91588260 92684928 93438464 93620352 93933813 94359040 94542720 95311360 96660480 96963936 97694144 99076992 99959230 100076928 100112640 102615456 103651104 105925632 106054305 106852970 106994688 110299840 112235655 113124592 113230848 113368395 114239120 114373632 115856160 116798080 117025440 119718032 119951076 120926288 121204920 122117680 123579904 123846240 124235043 124827136 125096160 125245084 126056960 127841280 128223564 128269320 129131520 129285248 129563880 132102656 132359808 132407040 132802977 133435904 133483520 133743360 136657920 136820608 137086944 138201472 140157696 141405740 141538560 142967040 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1872407040 1878676260 1915488512 1919217216 1934820608 1939278720 1953882880 1981539840 1987760688 2001538560 2003921344 2051577024 2052309120 2073022080 2124847632 2191788970 2193391104 2262491840 2319054136 2344659456 2394360640 2399021520 2418525760 2478988904 2484700860 2504901680 2558956288 2564471280 2567524222 2585704960 2630146764 2647196160 2650347584 2656059540 2714990208 2735436032 2736412160 2741738880 2764029440 2803153920 2833130176 2873232768 2898817670 2902230912 2930824320 3005882016 3098736130 3102845952 3198695360 3283694592 3287683455 3312934480 3316835328 3393737760 3419295040 3478581204 3506862352 3541412720 3591540960 3619986944 3627788640 3655651840 3707397120 3718483356 3744814080 3757352520 3830977024 3838434432 3851286333 3869641216 3878557440 3907765760 3963079680 3975521376 4003077120 4007842688 4103154048 4104618240 4146044160 4249695264 4348226505 4383577940 4386782208 4524983680 4638108272 4648104195 4689318912 4788721280 4798043040 4837051520 4957977808 4969401720 5009803360 5117912576 5128942560 5135048444 5171409920 5260293528 5294392320 5300695168 5312119080 5429980416 5470872064 5472824320 5483477760 5528058880 5666260352 5746465536 5797635340 5804461824 5861648640 6011764032 6197472260 6397390720 6418810555 6575366910 6625868960 6787475520 6838590080 6957162408 7013724704 7082825440 7183081920 7239973888 7255577280 7311303680 7436966712 7514705040 7661954048 7676868864 7702572666 7739282432 7757114880 7815531520 7951042752 8015685376 8206308096 8209236480 8292088320 8499390528 8696453010 8767155880 8986334777 9049967360 9276216544 9296208390 9577442560 9596086080 9674103040 9915955616 9938803440 10019606720 10235825152 10257885120 10270096888 10520587056 10601390336 10624238160 10859960832 10941744128 10966955520 11332520704 11492931072 11595270680 11608923648 11723297280 12023528064 12394944520 12794781440 12837621110 13150733820 13251737920 13574951040 13677180160 13914324816 14027449408 14165650880 14366163840 14511154560 14873933424 15029410080 15353737728 15405145332 15514229760 15902085504 16031370752 16412616192 16418472960 16584176640 16998781056 17392906020 17534311760 17972669554 18099934720 18552433088 18592416780 19154885120 19192172160 19256431665 19348206080 19831911232 19877606880 20039213440 20515770240 20540193776 21041174112 21202780672 21248476320 21719921664 21933911040 22665041408 22985862144 23190541360 23217847296 23446594560 24047056128 24789889040 25589562880 25675242220 26301467640 26503475840 26959004331 27149902080 27354360320 27828649632 28054898816 28331301760 28732327680 29022309120 29747866848 30058820160 30707475456 30810290664 31804171008 32062741504 32825232384 33997562112 34785812040 35068623520 35945339108 36199869440 37104866176 37184833560 38309770240 38384344320 38512863330 38696412160 39663822464 39755213760 40078426880 41031540480 41080387552 42082348224 42405561344 42496952640 44931673885 45330082816 46381082720 48094112256 49579778080 51179125760 51350484440 52602935280 53006951680 53918008662 54299804160 54708720640 55657299264 56109797632 56662603520 57464655360 58044618240 59495733696 60117640320 61620581328 63608342016 67995124224 69571624080 70137247040 71890678216 74209732352 74369667120 76768688640 77025726660 79327644928 79510427520 80156853760 82063080960 82160775104 84164696448 84993905280 89863347770 92762165440 96188224512 99159556160 102700968880 105205870560 106013903360 107836017324 108599608320 111314598528 112219595264 113325207040 114929310720 116089236480 118991467392 120235280640 123241162656 127216684032 134795021655 135990248448 139143248160 140274494080 143781356432 148419464704 148739334240 153537377280 154051453320 158655289856 159020855040 160313707520 164126161920 164321550208 168329392896 169987810560 179726695540 185524330880 198319112320 205401937760 210411741120 212027806720 215672034648 222629197056 224439190528 226650414080 237982934784 240470561280 246482325312 269590043310 278286496320 280548988160 287562712864 296838929408 297478668480 308102906640 317310579712 318041710080 328643100416 336658785792 339975621120 359453391080 371048661760 396638224640 410803875520 420823482240 431344069296 445258394112 475965869568 480941122560 492964650624 539180086620 556572992640 561097976320 575125425728 594957336960 616205813280 636083420160 657286200832 673317571584 679951242240 718906782160 742097323520 793276449280 821607751040 841646964480 862688138592 890516788224 951931739136 985929301248 1078360173240 1113145985280 1122195952640 1150250851456 1189914673920 1232411626560 1314572401664 1437813564320 1484194647040 1586552898560 1643215502080 1683293928960 1725376277184 1971858602496 2156720346480 2226291970560 2300501702912 2379829347840 2464823253120 2875627128640 3286431004160 3366587857920 3450752554368 3943717204992 4313440692960 4452583941120 4601003405824 4759658695680 4929646506240 5751254257280 6572862008320 6901505108736 8626881385920 9202006811648 9859293012480 11502508514560 13803010217472 17253762771840 19718586024960 23005017029120 27606020434944 34507525543680 46010034058240 69015051087360 138030102174720
- Sum of all divisors σ(n): 553020159025152
- Sum of proper divisors (its aliquot sum) s(n): 414990056850432
- 138030102174720 is an abundant number, because the sum of its proper divisors (414990056850432) is greater than itself. Its abundance is 276959954675712
Bases of 138030102174720
- Binary: 111110110001001101000110011010101011100000000002
- Hexadecimal: 0x7D89A3355C00
- Base-36: 1CXE5J045C
Squares and roots of 138030102174720
- 138030102174720 squared (1380301021747202) is 19052309106363642873407078400
- 138030102174720 cubed (1380301021747203) is 2629792172615721921971807801915681538048000
-
The
square root of 138030102174720 is 11748621.2882499537 -
The
cube root of 138030102174720 is 51680.2496775345
Scales and comparisons
How big is 138030102174720?- 138,030,102,174,720 seconds is equal to 4,388,930 years, 15 weeks, 2 days, 32 minutes.
-
To count from 1 to 138,030,102,174,720 would take you about ten million, nine hundred seventy-two thousand, three hundred twenty-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 138030102174720 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138030102174720
- 138030102174720 backwards is 027471201030831
- The number of decimal digits it has is: 15
- The sum of 138030102174720's digits is 39
- More coming soon!
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"Number 138030102174720 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138030102174720 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138030102174720/
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Numbermatics. 2024. "Number 138030102174720 - Facts about the integer". https://numbermatics.com/n/138030102174720/
The information we have on file for 138030102174720 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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