138432583446192
138,432,583,446,192 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138432583446192 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138432583446192 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138432583446192:
24 × 32 × 73 × 61 × 127 × 331 × 1093
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 61 × 127 × 331 × 1093)See below for interesting mathematical facts about the number 138432583446192 from the Numbermatics database.
Names of 138432583446192
- Cardinal: 138432583446192 can be written as One hundred thirty-eight trillion, four hundred thirty-two billion, five hundred eighty-three million, four hundred forty-six thousand, one hundred ninety-two.
Scientific notation
- Scientific notation: 1.38432583446192 × 1014
Factors of 138432583446192
Divisors of 138432583446192
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 61 63 72 84 98 112 122 126 127 144 147 168 183 196 244 252 254 294 331 336 343 366 381 392 427 441 488 504 508 549 588 662 686 732 762 784 854 882 889 976 993 1008 1016 1029 1093 1098 1143 1176 1281 1324 1372 1464 1524 1708 1764 1778 1986 2032 2058 2186 2196 2286 2317 2352 2562 2648 2667 2744 2928 2979 2989 3048 3087 3279 3416 3528 3556 3843 3972 4116 4372 4392 4572 4634 5124 5296 5334 5488 5958 5978 6096 6174 6223 6558 6832 6951 7056 7112 7651 7686 7747 7944 8001 8232 8744 8784 8967 9144 9268 9837 10248 10668 11916 11956 12348 12446 13116 13902 14224 15302 15372 15494 15888 16002 16219 16464 17488 17934 18288 18536 18669 19674 20191 20496 20853 20923 21336 22953 23241 23832 23912 24696 24892 26232 26901 27804 30604 30744 30988 32004 32438 35868 37072 37338 39348 40382 41706 41846 42037 42672 43561 45906 46482 47664 47824 48657 49392 49784 52464 53557 53802 54229 55608 56007 60573 61208 61488 61976 62769 64008 64876 66673 68859 69723 71736 74676 78696 80764 83412 83692 84074 87122 91812 92964 97314 99568 107114 107604 108458 111216 112014 113533 121146 122416 123952 125538 126111 128016 129752 130683 133346 137718 138811 139446 141337 143472 145971 149352 157392 160671 161528 162687 166824 167384 168148 174244 181719 183624 185928 188307 194628 200019 214228 215208 216916 224028 227066 242292 251076 252222 259504 261366 266692 275436 277622 278892 282674 291942 294259 298704 321342 323056 325374 333648 334768 336296 340599 348488 361783 363438 367248 371856 374899 376614 378333 379603 389256 392049 400038 416433 424011 428456 430416 433832 448056 454132 466711 482013 484584 488061 502152 504444 522732 533384 550872 555244 557784 565348 583884 588518 600057 642684 650748 672592 681198 696976 723566 726876 749798 753228 756666 759206 778512 784098 800076 832866 848022 856912 867664 882777 896112 908264 933422 964026 969168 971677 976122 989359 1004304 1008888 1021797 1045464 1066768 1085349 1101744 1110488 1115568 1124697 1130696 1138809 1167768 1177036 1200114 1249299 1272033 1285368 1301496 1362396 1400133 1447132 1453752 1499596 1506456 1513332 1518412 1568196 1600152 1665732 1696044 1765554 1816528 1866844 1928052 1943354 1952244 1978718 2017776 2043594 2059813 2090928 2170698 2220976 2249394 2261392 2277618 2335536 2354072 2400228 2498598 2532481 2544066 2564257 2570736 2602992 2648331 2657221 2724792 2800266 2894264 2907504 2915031 2968077 2999192 3012912 3026664 3036824 3136392 3200304 3256047 3266977 3331464 3374091 3392088 3416427 3531108 3733688 3856104 3886708 3904488 3957436 4087188 4119626 4200399 4341396 4498788 4555236 4708144 4800456 4997196 5064962 5088132 5128514 5296662 5314442 5449584 5600532 5788528 5830062 5936154 5998384 6053328 6073648 6179439 6272784 6512094 6533954 6662928 6748182 6784176 6801739 6832854 6925513 7062216 7467376 7597443 7692771 7712208 7773416 7808976 7914872 7971663 8174376 8239252 8400798 8467471 8682792 8745093 8904231 8997576 9110472 9600912 9800931 9994392 10129924 10176264 10257028 10593324 10628884 11201064 11660124 11872308 12358878 13024188 13067908 13496364 13603478 13665708 13851026 14124432 14418691 15194886 15385542 15546832 15829744 15943326 16348752 16478504 16801596 16934942 17365584 17490186 17727367 17808462 17949799 17995152 18220944 18538317 19601862 19988784 20259848 20352528 20405217 20514056 20776539 21186648 21257768 22068763 22402128 22792329 22868839 23078313 23320248 23744616 23914989 24717756 25402413 26048376 26135816 26992728 27206956 27331416 27702052 28837382 29402793 30389772 30771084 31886652 32957008 33603192 33869884 34980372 35454734 35616924 35899598 37076634 39203724 40519696 40810434 41028112 41553078 42373296 42515536 43256073 44137526 45584658 45737678 45946441 46156626 46640496 47489232 47612173 47829978 49435512 50804826 52096752 52271632 53182101 53849397 53985456 54413912 54662832 55404104 57674764 58805586 59272297 60779544 61215651 61542168 62329617 63773304 66206289 67206384 67739768 68606517 69960744 70909468 71233848 71799196 74153268 76207239 78407448 81620868 83106156 86512146 88275052 91169316 91475356 91892882 92313252 95224346 95659956 98871024 101609652 106364202 107698794 108827824 110808208 115349528 117611172 118544594 121559088 122431302 123084336 124091569 124659234 125648593 127546608 129768219 132412578 135479536 137213034 137839323 139921488 141818936 142467696 142836519 143598392 148306536 152414478 154481341 156814896 159546303 161548191 163241736 166212312 173024292 176550104 177816891 182338632 182950712 183785764 184626504 190448692 191319912 198618867 203219304 205819551 212728404 215397588 230699056 235222344 237089188 244862604 248183138 249318468 251297186 259536438 264825156 274426068 275678646 283637872 285673038 287196784 296613072 304828956 308962682 319092606 321625087 323096382 326483472 332424624 346048584 353100208 355633782 364677264 365901424 367571528 369253008 372274707 376945779 380897384 382639824 397237734 406438608 411639102 413517969 414906079 425456808 428509557 430795176 463444023 470444688 474178376 489725208 496366276 498636936 502594372 519072876 529650312 533450673 548852136 551357292 571346076 609657912 617925364 638185212 643250174 646192764 692097168 711267564 735143056 744549414 753891558 761794768 794475468 823278204 827035938 829812158 850913616 857019114 861590352 879540151 926888046 948356752 964875261 979450416 992732552 997273872 1005188744 1038145752 1059300624 1066901346 1081369387 1097704272 1102714584 1116824121 1130837337 1142692152 1219315824 1235850728 1244718237 1276370424 1286500348 1292385528 1390332069 1422535128 1489098828 1507783116 1588950936 1646556408 1654071876 1659624316 1714038228 1759080302 1853776092 1929750522 1985465104 2010377488 2076291504 2133802692 2162738774 2205429168 2233648242 2251375609 2261674674 2285384304 2471701456 2489436474 2552740848 2573000696 2584771056 2638620453 2780664138 2802732901 2845070256 2894625783 2904342553 2978197656 3015566232 3177901872 3244108161 3293112816 3308143752 3319248632 3428076456 3518160604 3707552184 3734154711 3859501044 4267605384 4325477548 4467296484 4502751218 4523349348 4978872948 5146001392 5277240906 5561328276 5605465802 5789251566 5808685106 5956395312 6031132464 6488216322 6616287504 6638497264 6754126827 6856152912 7036321208 7415104368 7468309422 7569585709 7719002088 7915861359 8408198703 8535210768 8650955096 8713027659 8934592968 9005502436 9046698696 9732324483 9957745896 10554481812 11122656552 11210931604 11578503132 11617370212 12976432644 13508253654 14072642416 14936618844 15139171418 15438004176 15759629263 15831722718 16816397406 17301910192 17426055318 17869185936 18011004872 18093397392 19464648966 19619130307 19915491792 20262380481 21108963624 22245313104 22421863208 22708757127 23157006264 23234740424 25224596109 25952865288 26139082977 27016507308 29873237688 30278342836 31519258526 31663445436 33632794812 34852110636 36022009744 38929297932 39238260614 40524760962 42217927248 44843726416 45417514254 46314012528 46469480848 47278887789 50449192218 51905730576 52278165954 54033014616 58857390921 59746475376 60556685672 63038517052 63326890872 67265589624 68126271381 69704221272 77858595864 78476521228 81049521924 90835028508 94557775578 100898384436 104556331908 108066029232 117714781842 121113371344 126077034104 126653781744 134531179248 136252542762 137333912149 139408442544 141836663367 155717191728 156953042456 162099043848 176572172763 181670057016 189115551156 201796768872 209112663816 235429563684 252154068208 272505085524 274667824298 283673326734 313906084912 324198087696 353144345526 363340114032 378231102312 403593537744 412001736447 418225327632 470859127368 545010171048 549335648596 567346653468 706288691052 756462204624 824003472894 941718254736 961337385043 1090020342096 1098671297192 1134693306936 1236005209341 1412577382104 1648006945788 1922674770086 2197342594384 2269386613872 2472010418682 2825154764208 2884012155129 3296013891576 3845349540172 4944020837364 5768024310258 6592027783152 7690699080344 8652036465387 9888041674728 11536048620516 15381398160688 17304072930774 19776083349456 23072097241032 34608145861548 46144194482064 69216291723096 138432583446192
- Sum of all divisors σ(n): 464645892505600
- Sum of proper divisors (its aliquot sum) s(n): 326213309059408
- 138432583446192 is an abundant number, because the sum of its proper divisors (326213309059408) is greater than itself. Its abundance is 187780725613216
Bases of 138432583446192
- Binary: 111110111100111010110001111011000101110101100002
- Hexadecimal: 0x7DE758F62EB0
- Base-36: 1D2J1TYKS0
Squares and roots of 138432583446192
- 138432583446192 squared (1384325834461922) is 19163580159586911346959300864
- 138432583446192 cubed (1384325834461923) is 2652863909569804509317988362200116083109888
-
The
square root of 138432583446192 is 11765737.6923927725 -
The
cube root of 138432583446192 is 51730.4323255349
Scales and comparisons
How big is 138432583446192?- 138,432,583,446,192 seconds is equal to 4,401,727 years, 49 weeks, 4 days, 1 hour, 43 minutes, 12 seconds.
-
To count from 1 to 138,432,583,446,192 would take you about eleven million, four thousand, three hundred nineteen 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 138432583446192 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138432583446192
- 138432583446192 backwards is 291644385234831
- 138432583446192 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138432583446192's digits is 63
- More coming soon!
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The information we have on file for 138432583446192 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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