138919312896
138,919,312,896 is an even composite number composed of seven prime numbers multiplied together.
138919312896 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 138919312896:
29 × 3 × 7 × 13 × 172 × 19 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 17 × 17 × 19 × 181)See below for interesting mathematical facts about the number 138919312896 from the Numbermatics database.
Names of 138919312896
- Cardinal: 138919312896 can be written as One hundred thirty-eight billion, nine hundred nineteen million, three hundred twelve thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.38919312896 × 1011
Factors of 138919312896
Divisors of 138919312896
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 19 21 24 26 28 32 34 38 39 42 48 51 52 56 57 64 68 76 78 84 91 96 102 104 112 114 119 128 133 136 152 156 168 181 182 192 204 208 221 224 228 238 247 256 266 272 273 289 304 312 323 336 357 362 364 384 399 408 416 442 448 456 476 494 512 532 543 544 546 578 608 624 646 663 672 714 724 728 741 768 798 816 832 867 884 896 912 952 969 988 1064 1086 1088 1092 1156 1216 1248 1267 1292 1326 1344 1428 1448 1456 1482 1536 1547 1596 1632 1664 1729 1734 1768 1792 1824 1904 1938 1976 2023 2128 2172 2176 2184 2261 2312 2353 2432 2496 2534 2584 2652 2688 2856 2896 2912 2964 3077 3094 3192 3264 3328 3439 3458 3468 3536 3584 3648 3757 3801 3808 3876 3952 4046 4199 4256 4344 4352 4368 4522 4624 4641 4706 4864 4992 5068 5168 5187 5304 5376 5491 5712 5792 5824 5928 6069 6154 6188 6384 6528 6656 6783 6878 6916 6936 7059 7072 7296 7514 7602 7616 7752 7904 8092 8398 8512 8688 8704 8736 9044 9231 9248 9282 9412 9728 9984 10136 10317 10336 10374 10608 10752 10982 11271 11424 11584 11648 11856 12138 12308 12376 12597 12768 13056 13566 13756 13832 13872 14118 14144 14592 15028 15204 15232 15504 15808 16184 16471 16473 16796 17024 17376 17472 18088 18462 18496 18564 18824 19968 20272 20634 20672 20748 21216 21539 21964 22542 22848 23168 23296 23712 24073 24276 24616 24752 25194 25536 26112 26299 27132 27512 27664 27744 28236 28288 29184 29393 30056 30408 30464 31008 31616 32368 32942 32946 33592 34048 34752 34944 36176 36924 36992 37128 37648 38437 40001 40544 41268 41344 41496 42432 43078 43928 44707 45084 45696 46336 46592 47424 48146 48552 49232 49413 49504 50388 51072 52309 52598 54264 55024 55328 55488 56472 56576 58463 58786 60112 60816 60928 62016 63232 64617 64736 65884 65892 67184 68096 69504 69888 71383 72219 72352 73848 73984 74256 75296 76874 78897 80002 81088 82536 82688 82992 84864 86156 87856 88179 89414 90168 91392 92672 94848 96292 97104 98464 98826 99008 100776 102144 104618 105196 108528 110048 110656 110976 112944 113152 115311 116926 117572 120003 120224 121632 124032 126464 129234 129472 131768 131784 134121 134368 139008 139776 142766 144438 144704 147696 147968 148512 150592 153748 156927 157794 160004 162176 165072 165376 165984 169728 172312 175389 175712 176358 178828 180336 182784 189696 192584 194208 196928 197652 198016 201552 204288 209236 210392 214149 217056 220096 221312 221952 225888 230622 233852 235144 240006 240448 243264 248064 258468 258944 263536 263568 268242 268736 278016 280007 285532 288876 289408 295392 297024 301184 307496 312949 313854 315588 320008 324352 330144 331968 339456 344624 350778 351424 352716 357656 360672 366163 379392 385168 388416 393856 395304 396032 403104 409241 418472 420784 428298 434112 440192 442624 443904 451776 461244 467704 470288 480012 480896 486528 496128 499681 516936 517888 527072 527136 536484 537472 560014 571064 577752 578816 590784 594048 602368 614992 625898 627708 631176 640016 648704 660288 663936 680017 689248 701556 702848 705432 715312 721344 732326 760019 770336 776832 787712 790608 792064 806208 818482 836944 840021 841568 856596 868224 880384 885248 903552 922488 935408 938847 940576 960024 961792 973056 993871 999362 1033872 1035776 1054144 1054272 1072968 1074944 1098489 1120028 1142128 1155504 1157632 1181568 1188096 1204736 1227723 1229984 1251796 1255416 1262352 1280032 1320576 1327872 1360034 1378496 1403112 1405696 1410864 1430624 1442688 1464652 1499043 1520038 1540672 1553664 1575424 1581216 1612416 1636964 1673888 1680042 1683136 1713192 1736448 1760768 1807104 1844976 1870816 1877694 1881152 1920048 1923584 1946112 1987742 1998724 2040051 2067744 2108288 2108544 2145936 2149888 2196978 2240056 2280057 2284256 2311008 2363136 2376192 2455446 2459968 2503592 2510832 2524704 2560064 2641152 2655744 2720068 2756992 2806224 2811392 2821728 2861248 2885376 2929304 2981613 2998086 3040076 3081344 3107328 3162432 3224832 3273928 3347776 3360084 3366272 3426384 3472896 3614208 3689952 3741632 3755388 3762304 3840096 3975484 3997448 4080102 4135488 4216576 4217088 4291872 4393956 4480112 4560114 4568512 4622016 4726272 4760119 4910892 4919936 5007184 5021664 5049408 5120128 5282304 5320133 5440136 5513984 5612448 5643456 5722496 5770752 5858608 5963226 5996172 6080152 6162688 6324864 6449664 6547856 6695552 6720168 6732544 6852768 6957097 7379904 7483264 7510776 7524608 7680192 7950968 7994896 8160204 8270976 8433152 8434176 8583744 8787912 8960224 9120228 9137024 9244032 9520238 9821784 9839872 10014368 10043328 10098816 10240256 10640266 10880272 11027968 11224896 11286912 11444992 11717216 11926452 11992344 12160304 12325376 12649728 12920323 13095712 13391104 13440336 13465088 13705536 13914194 14280357 14759808 14966528 15021552 15049216 15360384 15901936 15960399 15989792 16320408 16541952 17167488 17575824 17920448 18240456 18274048 18488064 19040476 19643568 19679744 20028736 20086656 20197632 20480512 20871291 21280532 21760544 22449792 22573824 22889984 23434432 23852904 23984688 24320608 25299456 25840646 26191424 26782208 26880672 27411072 27828388 28560714 29519616 29933056 30043104 30720768 31803872 31920798 31979584 32640816 33083904 34334976 35151648 35840896 36480912 36548096 36976128 38080952 38760969 39287136 40057472 40173312 40395264 41742582 42561064 43521088 44899584 45147648 46868864 47705808 47969376 48641216 51681292 52382848 53761344 54822144 55656776 57121428 59039232 60086208 61441536 63607744 63841596 63959168 65281632 68669952 70303296 71681792 72961824 76161904 77521938 78574272 80114944 80346624 83485164 85122128 87042176 89799168 90442261 93737728 95411616 95938752 97282432 103362584 104765696 107522688 109644288 111313552 114242856 120172416 127215488 127683192 127918336 130563264 140606592 143363584 145923648 152323808 155043876 157148544 160229888 166970328 170244256 174084352 180884522 187475456 190823232 191877504 194564864 206725168 209531392 215045376 222627104 228485712 240344832 254430976 255366384 255836672 261126528 271326783 281213184 291847296 304647616 310087752 314297088 333940656 340488512 348168704 361769044 381646464 383755008 389129728 413450336 430090752 445254208 456971424 480689664 508861952 510732768 522253056 542653566 562426368 583694592 609295232 620175504 628594176 667881312 680977024 723538088 763292928 767510016 826900672 890508416 913942848 1021465536 1044506112 1085307132 1167389184 1218590464 1240351008 1335762624 1361954048 1447076176 1526585856 1653801344 1781016832 1827885696 2042931072 2170614264 2437180928 2480702016 2671525248 2723908096 2894152352 3307602688 3562033664 3655771392 4085862144 4341228528 4961404032 5343050496 5788304704 6615205376 7311542784 8171724288 8682457056 9922808064 10686100992 11576609408 17364914112 19845616128 23153218816 34729828224 46306437632 69459656448 138919312896
- Sum of all divisors σ(n): 512145553920
- Sum of proper divisors (its aliquot sum) s(n): 373226241024
- 138919312896 is an abundant number, because the sum of its proper divisors (373226241024) is greater than itself. Its abundance is 234306928128
Bases of 138919312896
- Binary: 100000010110000011110001111110000000002
- Hexadecimal: 0x20583C7E00
- Base-36: 1RTGYZUO
Squares and roots of 138919312896
- 138919312896 squared (1389193128962) is 19298575495496751906816
- 138919312896 cubed (1389193128963) is 2680944847705991517094656539099136
-
The
square root of 138919312896 is 372718.8121037091 -
The
cube root of 138919312896 is 5179.0989535045
Scales and comparisons
How big is 138919312896?- 138,919,312,896 seconds is equal to 4,417 years, 10 weeks, 4 days, 10 hours, 1 minute, 36 seconds.
-
To count from 1 to 138,919,312,896 would take you about eight thousand, eight hundred thirty-four 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 138919312896 cubic inches would be around 431.6 feet tall.
Recreational maths with 138919312896
- 138919312896 backwards is 698213919831
- The number of decimal digits it has is: 12
- The sum of 138919312896's digits is 60
- 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 138919312896 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138919312896 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138919312896/
Chicago style:
Numbermatics. 2024. "Number 138919312896 - Facts about the integer". https://numbermatics.com/n/138919312896/
The information we have on file for 138919312896 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 138919312896, math, Factors of 138919312896, curriculum, school, college, exams, university, Prime factorization of 138919312896, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, nine hundred nineteen million, three hundred twelve thousand, eight hundred ninety-six.