138384470683975680
138,384,470,683,975,680 is an even composite number composed of five prime numbers multiplied together.
138384470683975680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138384470683975680:
215 × 32 × 5 × 37 × 503632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 50363 × 50363)See below for interesting mathematical facts about the number 138384470683975680 from the Numbermatics database.
Names of 138384470683975680
- Cardinal: 138384470683975680 can be written as One hundred thirty-eight quadrillion, three hundred eighty-four trillion, four hundred seventy billion, six hundred eighty-three million, nine hundred seventy-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3838447068397568 × 1017
Factors of 138384470683975680
Divisors of 138384470683975680
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 128 144 148 160 180 185 192 222 240 256 288 296 320 333 360 370 384 444 480 512 555 576 592 640 666 720 740 768 888 960 1024 1110 1152 1184 1280 1332 1440 1480 1536 1665 1776 1920 2048 2220 2304 2368 2560 2664 2880 2960 3072 3330 3552 3840 4096 4440 4608 4736 5120 5328 5760 5920 6144 6660 7104 7680 8192 8880 9216 9472 10240 10656 11520 11840 12288 13320 14208 15360 16384 17760 18432 18944 20480 21312 23040 23680 24576 26640 28416 30720 32768 35520 36864 37888 40960 42624 46080 47360 49152 50363 53280 56832 61440 71040 73728 75776 81920 85248 92160 94720 98304 100726 106560 113664 122880 142080 147456 151089 151552 163840 170496 184320 189440 201452 213120 227328 245760 251815 284160 294912 302178 303104 340992 368640 378880 402904 426240 453267 454656 491520 503630 568320 604356 606208 681984 737280 755445 757760 805808 852480 906534 909312 1007260 1136640 1208712 1212416 1363968 1474560 1510890 1515520 1611616 1704960 1813068 1818624 1863431 2014520 2266335 2273280 2417424 2727936 3021780 3031040 3223232 3409920 3626136 3637248 3726862 4029040 4532670 4546560 4834848 5455872 5590293 6043560 6062080 6446464 6819840 7252272 7453724 8058080 9065340 9093120 9317155 9669696 10911744 11180586 12087120 12892928 13639680 14504544 14907448 16116160 16770879 18130680 18186240 18634310 19339392 22361172 24174240 25785856 27279360 27951465 29009088 29814896 32232320 33541758 36261360 37268620 38678784 44722344 48348480 51571712 54558720 55902930 58018176 59629792 64464640 67083516 72522720 74537240 77357568 83854395 89444688 96696960 103143424 111805860 116036352 119259584 128929280 134167032 145045440 149074480 154715136 167708790 178889376 193393920 206286848 223611720 232072704 238519168 257858560 268334064 290090880 298148960 309430272 335417580 357778752 386787840 412573696 447223440 464145408 477038336 515717120 536668128 580181760 596297920 618860544 670835160 715557504 773575680 825147392 894446880 928290816 954076672 1031434240 1073336256 1160363520 1192595840 1237721088 1341670320 1431115008 1547151360 1650294784 1788893760 1856581632 1908153344 2062868480 2146672512 2320727040 2385191680 2475442176 2536431769 2683340640 2862230016 3094302720 3577787520 3713163264 3816306688 4125736960 4293345024 4641454080 4770383360 4950884352 5072863538 5366681280 5724460032 6188605440 7155575040 7426326528 7609295307 7632613376 8251473920 8586690048 9282908160 9540766720 10145727076 10733362560 11448920064 12377210880 12682158845 14311150080 14852653056 15218590614 15265226752 17173380096 18565816320 19081533440 20291454152 21466725120 22827885921 22897840128 24754421760 25364317690 28622300160 30437181228 30530453504 34346760192 37131632640 38046476535 38163066880 40582908304 42933450240 45655771842 45795680256 50728635380 57244600320 60874362456 61060907008 68693520384 74263265280 76092953070 76326133760 81165816608 85866900480 91311543684 91591360512 93847975453 101457270760 114139429605 114489200640 121748724912 137387040768 152185906140 152652267520 162331633216 171733800960 182623087368 183182721024 187695950906 202914541520 228278859210 228978401280 243497449824 274774081536 281543926359 304371812280 305304535040 324663266432 343467601920 365246174736 375391901812 405829083040 456557718420 457956802560 469239877265 486994899648 549548163072 563087852718 608743624560 649326532864 686935203840 730492349472 750783803624 811658166080 844631779077 913115436840 915913605120 938479754530 973989799296 1126175705436 1217487249120 1298653065728 1373870407680 1407719631795 1460984698944 1501567607248 1623316332160 1689263558154 1826230873680 1876959509060 1947979598592 2252351410872 2434974498240 2597306131456 2747740815360 2815439263590 2921969397888 3003135214496 3246632664320 3378527116308 3652461747360 3753919018120 3895959197184 4223158895385 4504702821744 4869948996480 5194612262912 5630878527180 5843938795776 6006270428992 6493265328640 6757054232616 7304923494720 7507838036240 7791918394368 8446317790770 9009405643488 9739897992960 10389224525824 11261757054360 11687877591552 12012540857984 12986530657280 13514108465232 14609846989440 15015676072480 15583836788736 16892635581540 18018811286976 19479795985920 20778449051648 22523514108720 23375755183104 24025081715968 25973061314560 27028216930464 29219693978880 30031352144960 31167673577472 33785271163080 36037622573952 38959591971840 41556898103296 45047028217440 46751510366208 48050163431936 51946122629120 54056433860928 58439387957760 60062704289920 62335347154944 67570542326160 72075245147904 77919183943680 83113796206592 90094056434880 93503020732416 96100326863872 103892245258240 108112867721856 116878775915520 120125408579840 124670694309888 135141084652320 144150490295808 155838367887360 180188112869760 187006041464832 192200653727744 207784490516480 216225735443712 233757551831040 240250817159680 249341388619776 270282169304640 288300980591616 311676735774720 360376225739520 374012082929664 384401307455488 415568981032960 432451470887424 467515103662080 480501634319360 540564338609280 576601961183232 623353471549440 720752451479040 748024165859328 768802614910976 864902941774848 935030207324160 961003268638720 1081128677218560 1153203922366464 1246706943098880 1441504902958080 1537605229821952 1729805883549696 1870060414648320 1922006537277440 2162257354437120 2306407844732928 2883009805916160 3075210459643904 3459611767099392 3740120829296640 3844013074554880 4324514708874240 4612815689465856 5766019611832320 6919223534198784 7688026149109760 8649029417748480 9225631378931712 11532039223664640 13838447068397568 15376052298219520 17298058835496960 23064078447329280 27676894136795136 34596117670993920 46128156894658560 69192235341987840 138384470683975680
- Sum of all divisors σ(n): 492700848921363420
- Sum of proper divisors (its aliquot sum) s(n): 354316378237387740
- 138384470683975680 is an abundant number, because the sum of its proper divisors (354316378237387740) is greater than itself. Its abundance is 215931907553412060
Bases of 138384470683975680
- Binary: 1111010111010001111110001011000011000110010000000000000002
- Hexadecimal: 0x1EBA3F1618C8000
- Base-36: 11UL787435S0
Squares and roots of 138384470683975680
- 138384470683975680 squared (1383844706839756802) is 19150261726484124407201930831462400
- 138384470683975680 cubed (1383844706839756803) is 2650098832479103806054656381709121086690460434432000
-
The
square root of 138384470683975680 is 372000632.6392143113 -
The
cube root of 138384470683975680 is 517244.3859601209
Scales and comparisons
How big is 138384470683975680?- 138,384,470,683,975,680 seconds is equal to 4,400,198,116 years, 24 weeks, 5 days, 20 hours, 48 minutes.
-
To count from 1 to 138,384,470,683,975,680 would take you about thirteen billion, two hundred million, five hundred ninety-four thousand, three hundred forty-nine 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 138384470683975680 cubic inches would be around 43103.7 feet tall.
Recreational maths with 138384470683975680
- 138384470683975680 backwards is 086579386074483831
- 138384470683975680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138384470683975680's digits is 90
- 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 138384470683975680 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 138384470683975680 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138384470683975680/
Chicago style:
Numbermatics. 2024. "Number 138384470683975680 - Facts about the integer". https://numbermatics.com/n/138384470683975680/
The information we have on file for 138384470683975680 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 138384470683975680, math, Factors of 138384470683975680, curriculum, school, college, exams, university, Prime factorization of 138384470683975680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighty-four trillion, four hundred seventy billion, six hundred eighty-three million, nine hundred seventy-five thousand, six hundred eighty.