138400931648448
138,400,931,648,448 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138400931648448 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
138400931648448 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138400931648448:
26 × 33 × 72 × 29 × 31 × 151 × 12041
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 29 × 31 × 151 × 12041)See below for interesting mathematical facts about the number 138400931648448 from the Numbermatics database.
Names of 138400931648448
- Cardinal: 138400931648448 can be written as One hundred thirty-eight trillion, four hundred billion, nine hundred thirty-one million, six hundred forty-eight thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38400931648448 × 1014
Factors of 138400931648448
Divisors of 138400931648448
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 31 32 36 42 48 49 54 56 58 62 63 64 72 84 87 93 96 98 108 112 116 124 126 144 147 151 168 174 186 189 192 196 203 216 217 224 232 248 252 261 279 288 294 302 336 348 372 378 392 406 432 434 441 448 453 464 496 504 522 558 576 588 604 609 651 672 696 744 756 783 784 812 837 864 868 882 899 906 928 992 1008 1044 1057 1116 1176 1208 1218 1302 1323 1344 1359 1392 1421 1488 1512 1519 1566 1568 1624 1674 1728 1736 1764 1798 1812 1827 1856 1953 1984 2016 2088 2114 2232 2352 2416 2436 2604 2646 2697 2718 2784 2842 2976 3024 3038 3132 3136 3171 3248 3348 3472 3528 3596 3624 3654 3906 4032 4077 4176 4228 4263 4379 4464 4557 4681 4704 4832 4872 5208 5292 5394 5436 5481 5568 5684 5859 5952 6048 6076 6264 6293 6342 6496 6696 6944 7056 7192 7248 7308 7399 7812 8091 8154 8352 8456 8526 8758 8928 9114 9362 9408 9513 9664 9744 10416 10584 10788 10872 10962 11368 11718 12041 12096 12152 12528 12586 12684 12789 12992 13137 13392 13671 13888 14043 14112 14384 14496 14616 14798 15624 16182 16308 16704 16912 17052 17516 17856 18228 18724 18879 19026 19488 20832 21168 21576 21744 21924 22197 22736 23436 24082 24273 24304 25056 25172 25368 25578 26274 26784 27342 28086 28224 28539 28768 28992 29232 29596 30653 31248 32364 32616 32767 33824 34104 35032 36123 36456 37448 37758 38052 38367 38976 39411 41013 41664 42129 42336 43152 43488 43848 44051 44394 45472 46872 48164 48546 48608 50112 50344 50736 51156 52548 53568 54684 56172 56637 57078 57536 58464 59192 61306 62496 64728 65232 65534 66591 67648 68208 70064 72246 72912 74896 75516 76104 76734 78822 82026 84258 84287 84672 86304 86976 87696 88102 88788 90944 91959 93744 96328 97092 97216 98301 100688 101472 102312 105096 108369 109368 112344 113274 114156 116928 118233 118384 122612 124992 126387 129456 130464 131068 132153 133182 135749 136416 140128 144492 145824 149792 151032 152208 153468 157644 164052 168516 168574 169911 172608 175392 176204 177576 183918 187488 192656 194184 196602 199773 201376 202944 204624 210192 214571 216738 218736 224688 226548 228312 229369 236466 236768 245224 252774 252861 258912 260928 262136 264306 266364 271498 272832 275877 280256 288984 291648 294903 299584 302064 304416 306936 315288 325107 328104 337032 337148 339822 349189 350784 352408 355152 367836 373271 374976 385312 388368 393204 396459 399546 402752 407247 409248 420384 429142 433476 437472 449376 453096 456624 458738 472932 473536 490448 505548 505722 517824 524272 528612 532728 542996 551754 577968 589806 590009 604128 608832 613872 630576 643713 650214 656208 674064 674296 679644 688107 698378 704816 710304 735672 746542 758583 770624 776736 786408 792918 799092 814494 818496 827631 840768 858284 866952 874944 884709 898752 906192 913248 917476 945864 950243 980896 1011096 1011444 1047567 1048544 1057224 1065456 1085992 1103508 1119813 1155936 1179612 1180018 1189377 1208256 1221741 1227744 1261152 1287426 1300428 1312416 1348128 1348592 1359288 1376214 1396756 1409632 1420608 1471344 1493084 1517166 1553472 1572816 1585836 1598184 1628988 1655262 1716568 1733904 1769418 1770027 1812384 1818191 1826496 1834952 1891728 1900486 1931139 1961792 2022192 2022888 2064321 2095134 2097088 2114448 2130912 2171984 2207016 2239626 2275749 2311872 2359224 2360036 2378754 2443482 2444323 2455488 2522304 2574852 2600856 2612897 2624832 2696256 2697184 2718576 2752428 2793512 2819264 2850729 2942688 2986168 3034332 3142701 3145632 3171672 3196368 3257976 3310524 3359439 3433136 3467808 3538836 3540054 3624768 3636382 3665223 3669904 3783456 3800972 3862278 4044384 4045776 4128642 4190268 4228896 4261824 4343968 4414032 4479252 4551498 4718448 4720072 4757508 4886964 4888646 5149704 5201712 5225794 5310081 5394368 5437152 5454573 5504856 5587024 5701458 5793417 5885376 5972336 6068664 6192963 6285402 6291264 6343344 6392736 6515952 6621048 6651701 6718878 6866272 6935616 7077672 7080108 7272764 7330446 7332969 7339808 7566912 7601944 7724556 7838691 8088768 8091552 8257284 8380536 8457792 8552187 8687936 8828064 8958504 9102996 9428103 9436896 9440144 9515016 9773928 9777292 10078317 10299408 10403424 10451588 10620162 10824859 10874304 10909146 11009712 11174048 11402916 11586834 11944672 12137328 12385926 12570804 12686688 12727337 12785472 13031904 13242096 13303402 13437756 13732544 14155344 14160216 14545528 14660892 14665938 14679616 15203888 15449112 15677382 15930243 16183104 16363719 16514568 16761072 17104374 17110261 17656128 17917008 18205992 18290279 18856206 18873792 18880288 19030032 19547856 19554584 19955103 20156634 20598816 20806848 20903176 21240324 21649718 21818292 21998907 22019424 22348096 22805832 23173668 23516073 23889344 24274656 24771852 25141608 25373376 25454674 25656561 26063808 26484192 26606804 26875512 28310688 28320432 29091056 29321784 29331876 30407776 30898224 31354764 31860486 32474577 32727438 33029136 33522144 34208748 34220522 35834016 36411984 36580558 37712412 37760576 38060064 38182011 39095712 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718383708 738185546 752514336 779389848 785458512 789094894 801822231 814549568 821009952 821292528 843640624 877933392 901822736 909288156 916368264 923954094 949095702 957844944 987675066 1014550578 1019535552 1039186464 1047278016 1055947536 1060836182 1069096308 1095056704 1107278319 1128771504 1169084772 1170577856 1183642341 1212384208 1221824352 1231938792 1265460936 1277126592 1316900088 1352734104 1363932234 1374552396 1407930048 1423643553 1425461744 1436767416 1476371092 1505028672 1521825867 1558779696 1570917024 1578189788 1591254273 1603644462 1634553709 1642019904 1642585056 1687281248 1755866784 1803645472 1818576312 1832736528 1847908188 1898191404 1915689888 1975350132 2029101156 2045898351 2078372928 2111895072 2121672364 2138192616 2214556638 2257543008 2338169544 2367284682 2405466693 2424768416 2443648704 2463877584 2530921872 2583649411 2633800176 2705468208 2727864468 2749104792 2761832129 2847287106 2850923488 2873534832 2952742184 3043651734 3117559392 3141834048 3156379576 3182508546 3207288924 3269107418 3285170112 3321834957 3374562496 3511733568 3550927023 3607290944 3637152624 3665473056 3695816376 3796382808 3831379776 3950700264 4058202312 4091796702 4223790144 4243344728 4276385232 4429113276 4515086016 4676339088 4734569364 4773762819 4810933386 4849536832 4903661127 4927755168 5061843744 5167298822 5267600352 5410936416 5455728936 5498209584 5523664258 5694574212 5701846976 5747069664 5905484368 6087303468 6235118784 6312759152 6365017092 6414577848 6538214836 6643669914 7101854046 7274305248 7330946112 7391632752 7592765616 7750948233 7901400528 8116404624 8183593404 8285496387 8486689456 8552770464 8858226552 9352678176 9469138728 9547525638 9621866772 9807322254 9855510336 9965504871 10123687488 10334597644 10535200704 10652781069 10821872832 10911457872 10996419168 11047328516 11389148424 11441875963 11494139328 11810968736 12174606936 12625518304 12730034184 12829155696 13076429672 13287339828 14203708092 14321288457 14548610496 14710983381 14783265504 15185531232 15501896466 15802801056 16232809248 16367186808 16570992774 16973378912 17105540928 17716453104 18705356352 18938277456 19095051276 19243733544 19614644508 19931009742 20669195288 21305562138 21822915744 21992838336 22094657032 22778296848 22883751926 23252844699 23621937472 24349213872 24856489161 25251036608 25460068368 25658311392 26152859344 26574679656 28407416184 28642576914 29421966762 29566531008 30371062464 31003792932 31605602112 32465618496 32734373616 33141985548 33946757824 34325627889 35432906208 37876554912 38190102552 38487467088 39229289016 39862019484 41338390576 42611124276 43645831488 44132950143 44189314064 45556593696 45767503852 46505689398 48698427744 49712978322 50920136736 51316622784 52305718688 53149359312 56814832368 57285153828 58843933524 62007585864 65468747232 66283971096 68651255778 69758534097 70865812416 74569467483 75753109824 76380205104 76974934176 78458578032 79724038968 80093131741 82676781152 85222248552 88265900286 88378628128 91113187392 91535007704 93011378796 97396855488 99425956644 101840273472 102976883667 104611437376 106298718624 113629664736 114570307656 117687867048 124015171728 130937494464 132567942192 137302511556 139517068194 149138934966 152760410208 153949868352 156917156064 159448077936 160186263482 165353562304 170444497104 176531800572 176757256256 183070015408 186022757592 198851913288 205953767334 212597437248 227259329472 229140615312 235375734096 240279395223 248030343456 265135884384 274605023112 279034136388 298277869932 305520820416 308930651001 313834312128 318896155872 320372526964 340888994208 353063601144 366140030816 372045515184 397703826576 411907534668 458281230624 470751468192 480558790446 496060686912 530271768768 549210046224 558068272776 596555739864 617861302002 637792311744 640745053928 681777988416 706127202288 720838185669 732280061632 744091030368 795407653152 823815069336 916562461248 941502936384 961117580892 1098420092448 1116136545552 1193111479728 1235722604004 1281490107856 1412254404576 1441676371338 1488182060736 1590815306304 1647630138672 1922235161784 2162514557007 2196840184896 2232273091104 2386222959456 2471445208008 2562980215712 2824508809152 2883352742676 3295260277344 3844470323568 4325029114014 4464546182208 4772445918912 4942890416016 5125960431424 5766705485352 6590520554688 7688940647136 8650058228028 9885780832032 11533410970704 15377881294272 17300116456056 19771561664064 23066821941408 34600232912112 46133643882816 69200465824224 138400931648448
- Sum of all divisors σ(n): 508805751398400
- Sum of proper divisors (its aliquot sum) s(n): 370404819749952
- 138400931648448 is an abundant number, because the sum of its proper divisors (370404819749952) is greater than itself. Its abundance is 232003888101504
Bases of 138400931648448
- Binary: 111110111011111111110100101111000010011110000002
- Hexadecimal: 0x7DDFFA5E13C0
- Base-36: 1D24IDAPC0
Squares and roots of 138400931648448
- 138400931648448 squared (1384009316484482) is 19154817881158375230660808704
- 138400931648448 cubed (1384009316484483) is 2651044640308669835772181771418043506491392
-
The
square root of 138400931648448 is 11764392.5320625033 -
The
cube root of 138400931648448 is 51726.4894050961
Scales and comparisons
How big is 138400931648448?- 138,400,931,648,448 seconds is equal to 4,400,721 years, 27 weeks, 1 day, 19 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,400,931,648,448 would take you about eleven million, one thousand, eight hundred three 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 138400931648448 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138400931648448
- 138400931648448 backwards is 844846139004831
- 138400931648448 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138400931648448's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 138400931648448 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138400931648448 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138400931648448/
Chicago style:
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The information we have on file for 138400931648448 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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