138975431091984
138,975,431,091,984 is an even composite number composed of six prime numbers multiplied together.
138975431091984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138975431091984:
24 × 35 × 17 × 67 × 233 × 3672
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 67 × 233 × 367 × 367)See below for interesting mathematical facts about the number 138975431091984 from the Numbermatics database.
Names of 138975431091984
- Cardinal: 138975431091984 can be written as One hundred thirty-eight trillion, nine hundred seventy-five billion, four hundred thirty-one million, ninety-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38975431091984 × 1014
Factors of 138975431091984
Divisors of 138975431091984
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 67 68 72 81 102 108 134 136 144 153 162 201 204 216 233 243 268 272 306 324 367 402 408 432 459 466 486 536 603 612 648 699 734 804 816 918 932 972 1072 1101 1139 1206 1224 1296 1377 1398 1468 1608 1809 1836 1864 1944 2097 2202 2278 2412 2448 2754 2796 2936 3216 3303 3417 3618 3672 3728 3888 3961 4131 4194 4404 4556 4824 5427 5508 5592 5872 6239 6291 6606 6834 7236 7344 7922 8262 8388 8808 9112 9648 9909 10251 10854 11016 11184 11883 12478 12582 13212 13668 14472 15611 15844 16281 16524 16776 17616 18224 18717 18873 19818 20502 21708 22032 23766 24589 24956 25164 26424 27336 28944 29727 30753 31222 31688 32562 33048 33552 35649 37434 37746 39636 41004 43416 46833 47532 49178 49912 50328 52848 54672 56151 56619 59454 61506 62444 63376 65124 66096 71298 73767 74868 75492 79272 82008 85511 86832 89181 92259 93666 95064 98356 99824 100656 106947 112302 113238 118908 123012 124888 130248 134689 140499 142596 147534 149736 150984 158544 164016 168453 171022 178362 184518 187332 190128 196712 213894 221301 224604 226476 237816 246024 249776 256533 260496 265387 269378 276777 280998 285192 295068 299472 301968 320841 336906 342044 356724 369036 374664 393424 404067 418013 421497 427788 442602 449208 452952 475632 492048 505359 513066 530774 538756 553554 561996 570384 590136 641682 663903 673812 684088 713448 738072 749328 769599 796161 808134 836026 842994 855576 885204 898416 905904 962523 1010718 1026132 1061548 1077512 1107108 1123992 1180272 1212201 1254039 1264491 1283364 1327806 1347624 1368176 1426896 1453687 1476144 1516077 1539198 1592322 1616268 1672052 1685988 1711152 1770408 1925046 1991709 2021436 2052264 2123096 2155024 2214216 2247984 2289713 2308797 2388483 2424402 2508078 2528982 2566728 2655612 2695248 2907374 3032154 3078396 3184644 3232536 3344104 3371976 3540816 3636603 3762117 3793473 3850092 3983418 4042872 4104528 4246192 4361061 4428432 4579426 4617594 4776966 4848804 5016156 5057964 5133456 5311224 5729237 5814748 5975127 6064308 6156792 6369288 6465072 6688208 6743952 6869139 6926391 7165449 7273206 7524234 7586946 7700184 7966836 8085744 8722122 9024163 9158852 9235188 9553932 9697608 10032312 10115928 10622448 10909809 11286351 11458474 11629496 11950254 12128616 12313584 12738576 13083183 13738278 13852782 14330898 14546412 15048468 15173892 15400368 15933672 17187711 17444244 18048326 18317704 18470376 19107864 19395216 20064624 20231856 20607417 20779173 21496347 21819618 22572702 22916948 23258992 23900508 24257232 26166366 27072489 27476556 27705564 28661796 29092824 30096936 30347784 31382537 31867344 32729427 33859053 34375422 34888488 36096652 36635408 36940752 38215728 39249549 41214834 41558346 42992694 43639236 45145404 45833896 47801016 51563133 52332732 54144978 54953112 55411128 57323592 58185648 60193872 60695568 61822251 62765074 64489041 65458854 67718106 68750844 69776976 72193304 78499098 81217467 82429668 83116692 85985388 87278472 90290808 91667792 94147611 95602032 97397029 101577159 103126266 104665464 108289956 109906224 110822256 114647184 117748647 123644502 125530148 128978082 130917708 135436212 137501688 144386608 153410771 154689399 156998196 162434934 164859336 166233384 171970776 174556944 180581616 185466753 188295222 194794058 203154318 206252532 209330928 216579912 235497294 243652401 247289004 251060296 257956164 261835416 270872424 275003376 282442833 292191087 306821542 309378798 313996392 324869868 329718672 332466768 343941552 353245941 370933506 376590444 389588116 406308636 412505064 433159824 460232313 464068197 470994588 487304802 494578008 502120592 515912328 523670832 533503129 541744848 556400259 564885666 584382174 613643084 618757596 627992784 649739736 706491882 730957203 741867012 753180888 779176232 812617272 825010128 847328499 876573261 920464626 928136394 941989176 974609604 989156016 1031824656 1067006258 1112800518 1129771332 1168764348 1227286168 1237515192 1299479472 1380696939 1392204591 1412983764 1461914406 1483734024 1506361776 1558352464 1600509387 1625234544 1694656998 1753146522 1840929252 1856272788 1883978352 1949219208 2102629979 2134012516 2192871609 2225601036 2259542664 2337528696 2454572336 2475030384 2541985497 2629719783 2761393878 2784409182 2825967528 2923828812 2967468048 3201018774 3389313996 3506293044 3681858504 3712545576 3898438416 4142090817 4205259958 4268025032 4385743218 4451202072 4519085328 4675057392 4801528161 5083970994 5259439566 5522787756 5568818364 5651935056 5847657624 6307889937 6402037548 6778627992 7012586088 7363717008 7425091152 7625956491 7889159349 8284181634 8410519916 8536050064 8771486436 8902404144 9603056322 10167941988 10518879132 11045575512 11137636728 11695315248 12426272451 12615779874 12804075096 13557255984 14025172176 14404584483 15251912982 15778318698 16568363268 16821039832 17542972872 18923669811 19206112644 20335883976 21037758264 22091151024 22275273456 23667478047 24852544902 25231559748 25608150192 28809168966 30503825964 31556637396 33136726536 33642079664 35085945744 35744709643 37278817353 37847339622 38412225288 40671767952 42075516528 43213753449 47334956094 49705089804 50463119496 56771009433 57618337932 61007651928 63113274792 66273453072 71489419286 74557634706 75694679244 76824450576 86427506898 94669912188 99410179608 100926238992 107234128929 113542018866 115236675864 122015303856 126226549584 129641260347 142978838572 149115269412 151389358488 170313028299 172855013796 189339824376 198820359216 214468257858 227084037732 230473351728 259282520694 285957677144 298230538824 302778716976 321702386787 340626056598 345710027592 378679648752 428936515716 454168075464 510939084897 518565041388 571915354288 596461077648 643404773574 681252113196 691420055184 857873031432 908336150928 965107160361 1021878169794 1037130082776 1286809547148 1362504226392 1715746062864 1930214320722 2043756339588 2074260165552 2573619094296 2725008452784 2895321481083 3860428641444 4087512679176 5147238188592 5790642962166 7720857282888 8175025358352 8685964443249 11581285924332 15441714565776 17371928886498 23162571848664 34743857772996 46325143697328 69487715545992 138975431091984
- Sum of all divisors σ(n): 436493168774208
- Sum of proper divisors (its aliquot sum) s(n): 297517737682224
- 138975431091984 is an abundant number, because the sum of its proper divisors (297517737682224) is greater than itself. Its abundance is 158542306590240
Bases of 138975431091984
- Binary: 111111001100101101111010011001111100111000100002
- Hexadecimal: 0x7E65BD33E710
- Base-36: 1D9GFJFL00
Squares and roots of 138975431091984
- 138975431091984 squared (1389754310919842) is 19314170447202793098669056256
- 138975431091984 cubed (1389754310919843) is 2684195164084065569706859339928820806651904
-
The
square root of 138975431091984 is 11788784.1227152853 -
The
cube root of 138975431091984 is 51797.9624691101
Scales and comparisons
How big is 138975431091984?- 138,975,431,091,984 seconds is equal to 4,418,988 years, 43 weeks, 22 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,975,431,091,984 would take you about eleven million, forty-seven thousand, four hundred seventy-two 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 138975431091984 cubic inches would be around 4316.5 feet tall.
Recreational maths with 138975431091984
- 138975431091984 backwards is 489190134579831
- 138975431091984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138975431091984's digits is 72
- More coming soon!
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The information we have on file for 138975431091984 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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