138677386848
138,677,386,848 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138677386848 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138677386848 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138677386848:
25 × 3 × 72 × 11 × 13 × 17 × 67 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 13 × 17 × 67 × 181)See below for interesting mathematical facts about the number 138677386848 from the Numbermatics database.
Names of 138677386848
- Cardinal: 138677386848 can be written as One hundred thirty-eight billion, six hundred seventy-seven million, three hundred eighty-six thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38677386848 × 1011
Factors of 138677386848
Divisors of 138677386848
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 17 21 22 24 26 28 32 33 34 39 42 44 48 49 51 52 56 66 67 68 77 78 84 88 91 96 98 102 104 112 119 132 134 136 143 147 154 156 168 176 181 182 187 196 201 204 208 221 224 231 238 264 268 272 273 286 294 308 312 336 352 357 362 364 374 392 402 408 416 429 442 462 469 476 528 536 539 543 544 546 561 572 588 616 624 637 663 672 714 724 728 737 748 784 804 816 833 858 871 884 924 938 952 1001 1056 1072 1078 1086 1092 1122 1139 1144 1176 1232 1248 1267 1274 1309 1326 1407 1428 1448 1456 1474 1496 1547 1568 1608 1617 1632 1666 1716 1742 1768 1848 1876 1904 1911 1991 2002 2144 2156 2172 2184 2211 2244 2278 2288 2352 2353 2431 2464 2499 2534 2548 2613 2618 2652 2814 2856 2896 2912 2948 2992 3003 3077 3094 3216 3234 3283 3332 3417 3432 3484 3536 3696 3752 3801 3808 3822 3927 3982 4004 4312 4344 4368 4422 4488 4556 4576 4641 4704 4706 4862 4998 5068 5096 5159 5226 5236 5304 5628 5712 5792 5896 5973 5984 6006 6097 6154 6188 6432 6468 6566 6664 6834 6864 6968 7007 7059 7072 7293 7392 7504 7602 7644 7854 7964 7973 8008 8624 8688 8736 8844 8869 8976 9112 9163 9231 9282 9412 9581 9724 9849 9996 10136 10192 10318 10452 10472 10608 10829 11256 11424 11792 11946 12012 12127 12194 12308 12376 12529 12936 13132 13328 13668 13728 13936 13937 14014 14118 14586 14807 15008 15204 15288 15477 15708 15928 15946 16016 16471 17017 17248 17376 17688 17738 17952 18224 18291 18326 18462 18564 18824 19162 19448 19698 19992 20272 20384 20636 20904 20944 21021 21216 21539 21658 22512 23584 23892 23919 24024 24254 24388 24616 24752 25058 25872 25883 26264 26607 26656 27336 27489 27872 27874 28028 28236 28743 29172 29614 30408 30576 30954 31416 31856 31892 32032 32487 32942 33847 34034 35376 35476 36113 36381 36448 36582 36652 36924 37128 37587 37648 38324 38896 39396 39984 40001 40544 41272 41808 41811 41888 42042 42679 43078 43316 44421 45024 47784 47838 48048 48508 48776 49232 49413 49504 50116 51051 51744 51766 52528 53214 54672 54978 55748 55811 56056 56472 57486 58344 59228 60816 61152 61908 62832 63712 63784 64617 64974 65884 67067 67694 68068 70752 70952 72226 72762 73164 73304 73848 74256 75174 75296 76648 77649 77792 78792 79968 80002 82544 83616 83622 84084 84889 85358 86156 86632 87703 88842 95568 95676 96096 97016 97552 97559 98464 98826 100232 101541 102102 103532 103649 105056 106428 108339 109344 109956 111496 111622 112112 112944 114972 115297 116688 118456 119119 120003 121632 123816 125664 127568 128037 129234 129948 131768 133397 134134 135388 136136 141904 144452 145524 146328 146608 147696 148512 150348 150773 153296 155298 157584 157651 160004 162877 165088 167244 167433 168168 169778 170716 172312 173264 175406 177684 181181 191136 191352 194032 195104 195118 197652 200464 201201 203082 204204 206159 207064 207298 212856 216678 219912 222992 223244 224224 225888 229944 230594 233376 236912 236929 238238 240006 247632 254667 255136 256074 258468 259896 263109 263536 266794 268268 270776 272272 280007 283808 288904 291048 292656 292677 293216 295392 300696 301546 306592 310596 310947 315168 315302 320008 325754 334488 334866 336336 339556 341432 344624 345891 346528 350812 355368 357357 362362 382704 388064 390236 395304 400191 400928 402402 406164 408408 412318 414128 414596 425712 433356 439824 440011 445984 446488 452319 459888 461188 469469 472953 473824 473858 476476 480012 488631 495264 509334 512148 516936 519792 526218 527072 533588 536536 541552 543543 544544 560014 577808 582096 585312 585354 594223 601392 603092 613921 618477 621192 621894 630604 640016 651508 668976 669732 672672 679112 682864 689248 691782 701624 710736 710787 714714 724724 725543 765408 780472 790608 800382 804804 812328 816816 824636 828256 829192 840021 851424 866712 879648 880022 892976 904638 919776 922376 933779 938938 945906 947716 952952 960024 977262 1018668 1024296 1033872 1039584 1052436 1067176 1073072 1083104 1087086 1103557 1120028 1140139 1155616 1164192 1170708 1188446 1202784 1206184 1227842 1236954 1242384 1243788 1261208 1268267 1280032 1303016 1320033 1337952 1339464 1358224 1365728 1383564 1403248 1408407 1421472 1421574 1429428 1443113 1449448 1451086 1560944 1581216 1600764 1609608 1624656 1633632 1649272 1658384 1658503 1680042 1733424 1734161 1760044 1782669 1785952 1809276 1841763 1844752 1867558 1877876 1891812 1895432 1905904 1920048 1954524 1960049 2037336 2048592 2067744 2104872 2134352 2146144 2174172 2176629 2207114 2240056 2267749 2280278 2341416 2376892 2412368 2455684 2473908 2484768 2487576 2522416 2536534 2606032 2640066 2678928 2680067 2716448 2767128 2801337 2806496 2816814 2843148 2858856 2886226 2898896 2902172 3080077 3121888 3201528 3219216 3249312 3298544 3310671 3316768 3317006 3360084 3420417 3466848 3468322 3520088 3565338 3618552 3683526 3689504 3735116 3755752 3783624 3790864 3804801 3811808 3840096 3909048 3920098 4074672 4097184 4209744 4268704 4329339 4348344 4353258 4414228 4480112 4535498 4560556 4682832 4753784 4824736 4911368 4947816 4975152 4975509 5044832 5073068 5202483 5212064 5280132 5357856 5360134 5534256 5602674 5633628 5686296 5717712 5772452 5797792 5804344 5880147 6160154 6403056 6438432 6536453 6597088 6621342 6634012 6720168 6803247 6840834 6936644 7040176 7130676 7237104 7367052 7470232 7511504 7567248 7581728 7609602 7724899 7818096 7840196 7980973 8040201 8149344 8419488 8658678 8696688 8706516 8828456 8960224 9070996 9121112 9240231 9365664 9507568 9822736 9895632 9950304 9951018 10101791 10146136 10404966 10560264 10720268 11068512 11205348 11267256 11372592 11435424 11544904 11608688 11760294 12139127 12320308 12806112 13072906 13242684 13268024 13440336 13606494 13681668 13873288 14080352 14261352 14474208 14734104 14940464 15023008 15134496 15219204 15449798 15636192 15680392 15874243 15961946 16080402 17317356 17393376 17413032 17656912 18141992 18242224 18480462 18760469 19015136 19609359 19645472 19791264 19902036 20203582 20292272 20809932 21120528 21440536 21560539 22410696 22534512 22745184 23089808 23174697 23217376 23520588 23942919 24278254 24640616 26145812 26485368 26536048 26880672 27212988 27363336 27746576 28522704 29468208 29480737 29880928 30305373 30438408 30899596 31360784 31748486 31923892 32160804 34634712 34826064 35313824 36283984 36417381 36484448 36960924 37520938 39218718 39804072 40407164 40584544 41619864 42241056 42881072 43121078 44821392 45069024 46179616 46349394 47041176 47622729 47885838 48556508 49281232 52291624 52970736 53072096 54425976 54726672 55493152 56281407 57045408 58936416 58961474 60610746 60876816 61799192 62721568 63496972 63847784 64321608 64681617 69269424 69652128 72567968 72834762 73921848 75041876 78437436 79608144 80814328 83239728 84973889 85762144 86242156 88442211 89642784 92698788 94082352 95245458 95771676 97113016 98562464 104583248 105941472 108851952 109453344 111119701 112562814 117922948 121221492 121753632 123598384 126993944 127695568 128643216 129363234 131323283 138538848 145669524 147843696 150083752 156874872 159216288 161628656 166479456 169947778 172484312 176884422 185397576 188164704 190490916 191543352 194226032 206365159 209166496 217703904 222239402 225125628 235845896 242442984 247196768 253987888 254921667 255391136 257286432 258726468 262646566 291339048 295687392 300167504 313749744 323257312 333359103 339895556 344968624 353768844 370795152 380981832 383086704 388452064 393969849 412730318 444478804 450251256 471691792 484885968 507975776 509843334 517452936 525293132 582678096 600335008 619095477 627499488 666718206 679791112 689937248 707537688 741590304 761963664 766173408 787939698 825460636 888957608 900502512 943383584 969771936 1019686668 1034905872 1050586264 1165356192 1238190954 1333436412 1359582224 1415075376 1444556113 1523927328 1575879396 1650921272 1777915216 1801005024 2039373336 2069811744 2101172528 2476381908 2666872824 2719164448 2830150752 2889112226 3151758792 3301842544 3555830432 4078746672 4202345056 4333668339 4952763816 5333745648 5778224452 6303517584 6603685088 8157493344 8667336678 9905527632 10667491296 11556448904 12607035168 17334673356 19811055264 23112897808 34669346712 46225795616 69338693424 138677386848
- Sum of all divisors σ(n): 537573044736
- Sum of proper divisors (its aliquot sum) s(n): 398895657888
- 138677386848 is an abundant number, because the sum of its proper divisors (398895657888) is greater than itself. Its abundance is 260218271040
Bases of 138677386848
- Binary: 100000010010011101000011111110011000002
- Hexadecimal: 0x2049D0FE60
- Base-36: 1RPGXOIO
Squares and roots of 138677386848
- 138677386848 squared (1386773868482) is 19231417622989843375104
- 138677386848 cubed (1386773868483) is 2666962741338807128104227380232192
-
The
square root of 138677386848 is 372394.1283747637 -
The
cube root of 138677386848 is 5176.0907636969
Scales and comparisons
How big is 138677386848?- 138,677,386,848 seconds is equal to 4,409 years, 26 weeks, 4 days, 8 hours, 20 minutes, 48 seconds.
-
To count from 1 to 138,677,386,848 would take you about eight thousand, eight 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 138677386848 cubic inches would be around 431.3 feet tall.
Recreational maths with 138677386848
- 138677386848 backwards is 848683776831
- The number of decimal digits it has is: 12
- The sum of 138677386848's digits is 69
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138677386848 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138677386848 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138677386848/
Chicago style:
Numbermatics. 2024. "Number 138677386848 - Facts about the integer". https://numbermatics.com/n/138677386848/
The information we have on file for 138677386848 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!
Keywords: Divisors of 138677386848, math, Factors of 138677386848, curriculum, school, college, exams, university, Prime factorization of 138677386848, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, six hundred seventy-seven million, three hundred eighty-six thousand, eight hundred forty-eight.