138196422174720
138,196,422,174,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138196422174720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138196422174720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138196422174720:
211 × 3 × 5 × 7 × 13 × 792 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 79 × 79 × 89 × 89)See below for interesting mathematical facts about the number 138196422174720 from the Numbermatics database.
Names of 138196422174720
- Cardinal: 138196422174720 can be written as One hundred thirty-eight trillion, one hundred ninety-six billion, four hundred twenty-two million, one hundred seventy-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3819642217472 × 1014
Factors of 138196422174720
Divisors of 138196422174720
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 79 80 84 89 91 96 104 105 112 120 128 130 140 156 158 160 168 178 182 192 195 208 210 224 237 240 256 260 267 273 280 312 316 320 336 356 364 384 390 395 416 420 445 448 455 474 480 512 520 534 546 553 560 623 624 632 640 672 712 728 768 780 790 832 840 890 896 910 948 960 1024 1027 1040 1068 1092 1106 1120 1157 1185 1246 1248 1264 1280 1335 1344 1365 1424 1456 1536 1560 1580 1659 1664 1680 1780 1792 1820 1869 1896 1920 2048 2054 2080 2136 2184 2212 2240 2314 2370 2492 2496 2528 2560 2670 2688 2730 2765 2848 2912 3072 3081 3115 3120 3160 3318 3328 3360 3471 3560 3584 3640 3738 3792 3840 4108 4160 4272 4368 4424 4480 4628 4740 4984 4992 5056 5120 5135 5340 5376 5460 5530 5696 5785 5824 6144 6162 6230 6240 6241 6320 6636 6656 6720 6942 7031 7120 7168 7189 7280 7476 7584 7680 7921 8099 8216 8295 8320 8544 8736 8848 8960 9256 9345 9480 9968 9984 10112 10240 10270 10680 10752 10920 11060 11392 11570 11648 12324 12460 12480 12482 12640 13272 13312 13440 13884 14062 14240 14336 14378 14560 14952 15168 15360 15405 15842 16198 16432 16590 16640 17088 17355 17472 17696 17920 18512 18690 18723 18960 19936 19968 20224 20540 21093 21360 21504 21567 21840 22120 22784 23140 23296 23763 24297 24648 24920 24960 24964 25280 26544 26624 26880 27768 28124 28480 28756 29120 29904 30336 30720 30810 31205 31684 32396 32864 33180 33280 34176 34710 34944 35155 35392 35840 35945 37024 37380 37446 37920 39605 39872 39936 40448 40495 41080 42186 42720 43008 43134 43680 43687 44240 45568 46280 46592 47526 48594 49217 49296 49840 49920 49928 50560 53088 53760 55447 55536 56248 56960 57512 58240 59808 60672 61620 62410 63368 64792 65728 66360 66560 68352 69420 69888 70310 70784 71680 71890 74048 74760 74892 75840 79210 79744 79872 80896 80990 81133 82160 84372 85440 86268 87360 87374 88480 91136 91403 92560 93184 93615 95052 97188 98434 98592 99680 99840 99856 101120 102973 105465 106176 107520 107835 110894 111072 112496 113920 115024 116480 118815 119616 121344 121485 123240 124820 126736 129584 131061 131456 132720 133120 136704 138840 139776 140620 141568 143780 147651 148096 149520 149784 151680 158420 159488 161792 161980 162266 164320 166341 168744 170880 172536 174720 174748 176960 182272 182806 185120 186368 187230 190104 194376 196868 197184 199360 199680 199712 202240 205946 210930 212352 215040 215670 218435 221788 222144 224992 227840 230048 232960 237630 239232 242688 242970 243399 246085 246480 249640 253472 259168 262122 262912 265440 273408 274209 277235 277680 279552 281240 283136 287560 295302 296192 299040 299568 303360 308919 316840 318976 323960 324532 328640 332682 337488 341760 345072 349440 349496 353920 365612 370240 374460 380208 388752 393736 394368 398720 399360 399424 404480 405665 411892 421860 424704 431340 436870 443576 444288 449984 455680 457015 460096 465920 475260 478464 485376 485940 486798 492170 492960 499280 506944 514865 518336 524244 525824 530880 546816 548418 554470 555360 555449 559104 562480 566272 567931 575120 590604 592384 598080 599136 606720 617838 625759 633680 637952 639821 647920 649064 655305 657280 665364 674976 683520 690144 698880 698992 707840 720811 731224 738255 740480 748920 760416 777504 787472 788736 797440 798848 808960 811330 823784 831705 843720 849408 862680 873740 887152 888576 899968 911360 914030 920192 931840 950520 956928 971880 973596 984340 985920 998560 1013888 1029730 1036672 1048488 1051648 1061760 1096836 1108940 1110720 1110898 1124960 1132544 1135862 1150240 1181208 1184768 1196160 1198272 1213440 1216995 1235676 1251518 1267360 1275904 1279642 1295840 1298128 1310610 1314560 1330728 1349952 1367040 1371045 1380288 1397760 1397984 1415680 1441622 1462448 1476510 1480960 1497840 1520832 1544595 1555008 1574944 1577472 1594880 1597696 1622660 1647568 1663410 1666347 1687440 1698816 1703793 1725360 1747480 1774304 1777152 1799936 1828060 1840384 1877277 1901040 1913856 1919463 1943760 1947192 1968680 1971840 1997120 2027776 2059460 2073344 2096976 2103296 2123520 2162433 2193672 2217880 2221440 2221796 2249920 2271724 2300480 2362416 2369536 2392320 2396544 2426880 2433990 2471352 2503036 2534720 2559284 2591680 2596256 2621220 2629120 2661456 2699904 2734080 2742090 2760576 2777245 2795520 2795968 2831360 2839655 2883244 2924896 2953020 2961920 2995680 3041664 3089190 3110016 3128795 3149888 3154944 3189760 3195392 3199105 3245320 3295136 3326820 3332694 3374880 3397632 3407586 3450720 3494960 3548608 3554304 3599872 3604055 3656120 3680768 3754554 3802080 3827712 3838926 3887520 3888143 3894384 3937360 3943680 3994240 4055552 4118920 4146688 4193952 4247040 4324866 4380313 4387344 4435760 4442880 4443592 4499840 4543448 4600960 4724832 4784640 4793088 4867980 4942704 5006072 5069440 5118568 5183360 5192512 5242440 5258240 5322912 5399808 5484180 5521152 5554490 5591936 5662720 5679310 5766488 5849792 5906040 5923840 5991360 6083328 6178380 6220032 6257590 6299776 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390473616 395416320 395479688 400485760 404366872 409485440 415400960 420510048 425832960 426584832 433250220 436171008 447354880 455552552 461319040 462133568 466577160 467983360 480582912 488092020 491382528 494349610 497682304 498481152 503982080 505458590 520631488 525637560 527221760 533231040 545213760 553582848 560680064 561580032 567777280 568779776 569440690 577666960 581561344 593219532 600728640 606550308 614228160 622102880 623101440 632666112 640777216 642654493 650789360 655176704 671032320 683328828 691978560 692089454 693200352 700850080 701975040 710974720 726951680 738110464 741524415 746523456 755973120 758187885 780947232 790832640 790959376 800971520 808733744 818970880 830801920 841020096 851665920 853169664 854161035 866500440 872342016 911105104 922638080 924267136 933154320 935966720 961165824 976184040 982765056 988699220 995364608 1010917180 1038134181 1041262976 1051275120 1054443520 1066462080 1090427520 1107165696 1121360128 1137559552 1138881380 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3644420416 3690552320 3697068544 3732617280 3844663296 3855926958 3904736160 3931060224 3954796880 3981458432 4043668720 4152536724 4165051904 4205100480 4265848320 4361710080 4428662784 4485440512 4498581451 4555525520 4621335680 4745756256 4805829120 4852402464 4913825280 4976823040 5141235944 5190670905 5206314880 5466630624 5535828480 5536715632 5545602816 5606800640 5687797760 5815613440 5932195320 5972187648 6065503080 6247577856 6327675008 6407772160 6426544930 6469869952 6551767040 6728160768 6833288280 6920894540 6932003520 7288840832 7381104640 7394137088 7465234560 7711853916 7809472320 7909593760 7962916864 8087337440 8305073448 8330103808 8410200960 8531696640 8723420160 8970881024 8997162902 9111051040 9242671360 9491512512 9611658240 9639817395 9704804928 9827650560 9953646080 10282471888 10381341810 10412629760 10933261248 11071656960 11073431264 11091205632 11213601280 11864390640 11944375296 12131006160 12495155712 12655350016 12853089860 12939739904 13456321536 13495744353 13666576560 13841789080 13864007040 14577681664 14788274176 14930469120 15423707832 15618944640 15819187520 16174674880 16610146896 16660207616 16820401920 17063393280 17446840320 17994325804 18222102080 18485342720 18983025024 19223316480 19279634790 19409609856 19655301120 19907292160 20564943776 20762683620 20825259520 21866522496 22143313920 22146862528 22182411264 22427202560 22492907255 23728781280 23888750592 24262012320 24990311424 25310700032 25706179720 25879479808 26912643072 26991488706 27333153120 27683578160 27728014080 29155363328 29860938240 30847415664 31237889280 31638375040 32349349760 33220293792 33640803840 35988651608 36444204160 36970685440 37966050048 38559269580 38819219712 39814584320 41129887552 41525367240 41650519040 43733044992 44293725056 44364822528 44854405120 44985814510 47457562560 48524024640 49980622848 50621400064 51412359440 51758959616 53982977412 54666306240 55367156320 55456028160 58310726656 59721876480 61694831328 62475778560 63276750080 64698699520 66440587584 67281607680 67478721765 71977303216 72888408320 73941370880 75932100096 77118539160 77638439424 82259775104 83050734480 83301038080 87466089984 88587450112 89971629020 94915125120 97048049280 101242800128 102824718880 103517919232 107965954824 109332612480 110734312640 110912056320 116621453312 119443752960 123389662656 124951557120 126553500160 129397399040 132881175168 134563215360 134957443530 143954606432 145776816640 151864200192 154237078320 155276878848 164519550208 166101468960 174932179968 177174900224 179943258040 189830250240 194096098560 205649437760 215931909648 218665224960 221468625280 221824112640 246779325312 249903114240 253107000320 258794798080 265762350336 269914887060 287909212864 291553633280 303728400384 308474156640 310553757696 329039100416 332202937920 349864359936 354349800448 359886516080 379660500480 388192197120 411298875520 431863819296 437330449920 442937250560 493558650624 506214000640 517589596160 531524700672 539829774120 575818425728 583107266560 616948313280 658078200832 664405875840 708699600896 719773032160 759321000960 776384394240 822597751040 863727638592 874660899840 885874501120 987117301248 1063049401344 1079659548240 1151636851456 1233896626560 1316156401664 1328811751680 1439546064320 1518642001920 1552768788480 1645195502080 1727455277184 1749321799680 1771749002240 1974234602496 2126098802688 2159319096480 2303273702912 2467793253120 2657623503360 2879092128640 3290391004160 3454910554368 3543498004480 3948469204992 4318638192960 4606547405824 4935586506240 5315247006720 5758184257280 6580782008320 6909821108736 8637276385920 9213094811648 9871173012480 10630494013440 11516368514560 13819642217472 17274552771840 19742346024960 23032737029120 27639284434944 34549105543680 46065474058240 69098211087360 138196422174720
- Sum of all divisors σ(n): 557385533228160
- Sum of proper divisors (its aliquot sum) s(n): 419189111053440
- 138196422174720 is an abundant number, because the sum of its proper divisors (419189111053440) is greater than itself. Its abundance is 280992688878720
Bases of 138196422174720
- Binary: 111110110110000010111001010011100101000000000002
- Hexadecimal: 0x7DB05CA72800
- Base-36: 1CZIK5MXHC
Squares and roots of 138196422174720
- 138196422174720 squared (1381964221747202) is 19098251101893441734207078400
- 138196422174720 cubed (1381964221747203) is 2639309972076077505455715381754145538048000
-
The
square root of 138196422174720 is 11755697.4346365345 -
The
cube root of 138196422174720 is 51700.9987965575
Scales and comparisons
How big is 138196422174720?- 138,196,422,174,720 seconds is equal to 4,394,218 years, 39 weeks, 2 days, 32 minutes.
-
To count from 1 to 138,196,422,174,720 would take you about ten million, nine hundred eighty-five thousand, five hundred forty-six 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 138196422174720 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138196422174720
- 138196422174720 backwards is 027471224691831
- The number of decimal digits it has is: 15
- The sum of 138196422174720's digits is 57
- More coming soon!
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"Number 138196422174720 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138196422174720 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138196422174720/
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The information we have on file for 138196422174720 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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