138427007533056
138,427,007,533,056 is an even composite number composed of six prime numbers multiplied together.
138427007533056 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138427007533056:
215 × 33 × 11 × 192 × 312 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 19 × 31 × 31 × 41)See below for interesting mathematical facts about the number 138427007533056 from the Numbermatics database.
Names of 138427007533056
- Cardinal: 138427007533056 can be written as One hundred thirty-eight trillion, four hundred twenty-seven billion, seven million, five hundred thirty-three thousand and fifty-six.
Scientific notation
- Scientific notation: 1.38427007533056 × 1014
Factors of 138427007533056
Divisors of 138427007533056
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 32 33 36 38 41 44 48 54 57 62 64 66 72 76 82 88 93 96 99 108 114 123 124 128 132 144 152 164 171 176 186 192 198 209 216 228 246 248 256 264 279 288 297 304 328 341 342 352 361 369 372 384 396 418 432 451 456 492 496 512 513 528 558 576 589 594 608 627 656 682 684 704 722 738 744 768 779 792 836 837 864 902 912 961 984 992 1023 1024 1026 1056 1083 1107 1116 1152 1178 1188 1216 1254 1271 1312 1353 1364 1368 1408 1444 1476 1488 1536 1558 1584 1672 1674 1728 1767 1804 1824 1881 1922 1968 1984 2046 2048 2052 2112 2166 2214 2232 2304 2337 2356 2376 2432 2508 2542 2624 2706 2728 2736 2816 2883 2888 2952 2976 3069 3072 3116 3168 3249 3344 3348 3456 3534 3608 3648 3762 3813 3844 3936 3968 3971 4059 4092 4096 4104 4224 4332 4428 4464 4608 4674 4712 4752 4864 5016 5084 5248 5301 5412 5456 5472 5632 5643 5766 5776 5904 5952 6138 6144 6232 6336 6479 6498 6688 6696 6912 7011 7068 7216 7296 7524 7626 7688 7872 7936 7942 8118 8184 8192 8208 8448 8569 8649 8664 8856 8928 9207 9216 9348 9424 9504 9728 9747 10032 10168 10496 10571 10602 10824 10912 10944 11191 11264 11286 11439 11532 11552 11808 11904 11913 12177 12276 12288 12464 12672 12958 12996 13376 13392 13824 13981 14022 14136 14432 14592 14801 15048 15252 15376 15744 15872 15884 15903 16236 16368 16384 16416 16896 17138 17298 17328 17712 17856 18259 18414 18432 18696 18848 19008 19437 19456 19494 20064 20336 20992 21033 21142 21204 21648 21824 21888 22382 22528 22572 22878 23064 23104 23616 23808 23826 24149 24354 24552 24576 24928 25344 25707 25916 25947 25992 26752 26784 27648 27962 28044 28272 28864 29184 29602 30096 30504 30752 31488 31713 31744 31768 31806 32472 32736 32768 32832 33573 33792 34276 34317 34596 34656 35424 35712 35739 36518 36828 36864 37392 37696 38016 38874 38912 38988 39401 40128 40672 41943 41984 42066 42284 42408 43296 43648 43776 44403 44764 45056 45144 45756 46128 46208 47232 47616 47652 48298 48708 49104 49152 49856 50688 51414 51832 51894 51984 53504 53568 54777 55296 55924 56088 56544 57728 58311 58368 59204 60192 61008 61504 62976 63426 63488 63536 63612 64944 65472 65664 67146 67584 68552 68634 69192 69312 70848 71424 71478 72447 73036 73656 73728 74784 75392 76032 77121 77748 77824 77976 78802 80256 81344 83886 83968 84132 84568 84816 86592 87296 87552 88806 89528 90112 90288 91512 92256 92416 94464 95139 95232 95304 96596 97416 98208 98304 99712 100719 101376 102828 103664 103788 103968 107008 107136 107217 109554 110592 111848 112176 113088 115456 116622 116736 118203 118408 120384 122016 123008 123101 125829 125952 126852 126976 127072 127224 129888 130944 131328 133209 134292 135168 137104 137268 138384 138624 141696 142848 142956 144894 146072 147312 147456 149568 150784 152064 154242 155496 155648 155952 157604 160512 162688 162811 164331 167772 167936 168264 169136 169632 173184 174592 174933 175104 177612 179056 180224 180576 183024 184512 184832 188928 190278 190464 190608 193192 194832 196416 199424 200849 201438 202752 205656 207328 207576 207936 214016 214272 214434 217341 219108 221184 223696 224352 226176 230912 231363 233244 233472 236406 236816 240768 244032 246016 246202 251658 251904 253704 253952 254144 254448 259776 261888 262656 265639 266418 268584 270336 274208 274536 276768 277248 283392 285417 285696 285912 289788 292144 294624 294912 299136 301568 302157 304128 308484 310992 311296 311904 315208 321024 325376 325622 328662 335544 335872 336528 338272 339264 346368 346921 349184 349866 350208 354609 355224 358112 360448 361152 366048 369024 369303 369664 377487 377856 380556 380928 381216 386384 389664 392832 398848 399627 401698 402876 405504 411312 414656 415152 415872 428032 428544 428868 433411 434682 438216 442368 447392 448704 452352 458831 461824 462726 466488 466944 472812 473632 481536 488064 488433 492032 492404 492993 503316 503808 507408 507904 508288 508896 519552 523776 525312 531278 532836 537168 540672 548416 549072 553536 554496 566784 570834 571392 571824 579576 584288 589248 598272 602547 603136 604314 608256 616968 621984 622592 623808 630416 642048 650752 651244 652023 657324 671088 671744 673056 676544 678528 692736 693842 698368 699732 700416 709218 710448 716224 722304 732096 738048 738606 739328 748619 754974 755712 761112 761856 762432 772768 779328 785664 796917 797696 799254 803396 805752 811008 822624 829312 830304 831744 856064 857088 857736 866822 869364 876432 884736 894784 897408 904704 917662 923648 925452 932976 933888 945624 947264 963072 976128 976866 984064 984808 985986 1006632 1007616 1014816 1015808 1016576 1017792 1039104 1040763 1047552 1050624 1062556 1063827 1065672 1074336 1081344 1096832 1098144 1107072 1107909 1108992 1133568 1141668 1142784 1143648 1159152 1168576 1178496 1196544 1205094 1206272 1208628 1216512 1233936 1243968 1247616 1260832 1284096 1300233 1301504 1302488 1304046 1314648 1342176 1343488 1346112 1353088 1357056 1376493 1385472 1387684 1396736 1399464 1400832 1418436 1420896 1432448 1444608 1464192 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6528344064 6547488768 6581420032 6594274368 6806992896 6899272704 7101005824 7114874976 7121829888 7282565632 7344387072 7404097536 7510145808 7517487104 7581302784 7752408576 7815436288 7988631552 8002486272 8077197312 8192886336 8432444416 8448914034 8457172992 8525930496 8704458752 8714870784 8721459648 8792365824 9002797056 9075990528 9199030272 9352544256 9486499968 9591671808 9792516096 9872130048 9901080576 10013527744 10336544768 10348909056 10651508736 10682744832 10923848448 11106146304 11265218712 11276230656 11367907328 11619827712 11628612864 11723154432 11982947328 12003729408 12101320704 12265373696 12289329504 12369494016 12648666624 12685759488 12788895744 13056688128 13094977536 13188548736 13613985792 13798545408 14202011648 14229749952 14565131264 14688774144 14808195072 15020291616 15034974208 15504817152 15630872576 15977263104 16004972544 16154394624 16385772672 16864888832 16897828068 16914345984 17051860992 17429741568 17442919296 17584731648 18005594112 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524344725504 540730498176 558173417472 562711412736 607135997952 640865775616 662330179584 699126300672 720973997568 744231223296 786517088256 809514663936 844067119104 910703996928 961298663424 1048689451008 1081460996352 1116346834944 1125422825472 1214271995904 1281731551232 1398252601344 1441947995136 1488462446592 1573034176512 1688134238208 1821407993856 1922597326848 2097378902016 2162921992704 2232693669888 2428543991808 2563463102464 2883895990272 3146068353024 3376268476416 3642815987712 3845194653696 4194757804032 4325843985408 4465387339776 5126926204928 5767791980544 6292136706048 7285631975424 7690389307392 8651687970816 11535583961088 12584273412096 15380778614784 17303375941632 23071167922176 34606751883264 46142335844352 69213503766528 138427007533056
- Sum of all divisors σ(n): 499848111604800
- Sum of proper divisors (its aliquot sum) s(n): 361421104071744
- 138427007533056 is an abundant number, because the sum of its proper divisors (361421104071744) is greater than itself. Its abundance is 222994096538688
Bases of 138427007533056
- Binary: 111110111100110000011001001110010000000000000002
- Hexadecimal: 0x7DE60C9C8000
- Base-36: 1D2GHM7EO0
Squares and roots of 138427007533056
- 138427007533056 squared (1384270075330562) is 19162036414556742570932699136
- 138427007533056 cubed (1384270075330563) is 2652543359106539588761657707719066822639616
-
The
square root of 138427007533056 is 11765500.7344802797 -
The
cube root of 138427007533056 is 51729.7377677875
Scales and comparisons
How big is 138427007533056?- 138,427,007,533,056 seconds is equal to 4,401,550 years, 34 weeks, 1 day, 57 minutes, 36 seconds.
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To count from 1 to 138,427,007,533,056 would take you about eleven million, three thousand, eight hundred seventy-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 138427007533056 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138427007533056
- 138427007533056 backwards is 650335700724831
- 138427007533056 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138427007533056's digits is 54
- More coming soon!
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The information we have on file for 138427007533056 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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