138139924236343680
138,139,924,236,343,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138139924236343680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138139924236343680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138139924236343680:
27 × 3 × 5 × 72 × 1132 × 2572 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 113 × 113 × 257 × 257 × 1741)See below for interesting mathematical facts about the number 138139924236343680 from the Numbermatics database.
Names of 138139924236343680
- Cardinal: 138139924236343680 can be written as One hundred thirty-eight quadrillion, one hundred thirty-nine trillion, nine hundred twenty-four billion, two hundred thirty-six million, three hundred forty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3813992423634368 × 1017
Factors of 138139924236343680
Divisors of 138139924236343680
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 113 120 128 140 147 160 168 192 196 210 224 226 240 245 257 280 294 320 336 339 384 392 420 448 452 480 490 514 560 565 588 640 672 678 735 771 784 791 840 896 904 960 980 1028 1120 1130 1176 1285 1344 1356 1470 1542 1568 1582 1680 1695 1741 1799 1808 1920 1960 2056 2240 2260 2352 2373 2570 2688 2712 2940 3084 3136 3164 3360 3390 3482 3598 3616 3855 3920 3955 4112 4480 4520 4704 4746 5140 5223 5397 5424 5537 5880 6168 6272 6328 6720 6780 6964 7196 7232 7710 7840 7910 8224 8705 8995 9040 9408 9492 10280 10446 10794 10848 11074 11760 11865 12187 12336 12593 12656 12769 13440 13560 13928 14392 14464 15420 15680 15820 16448 16611 17410 17990 18080 18816 18984 20560 20892 21588 21696 22148 23520 23730 24374 24672 25186 25312 25538 26115 26985 27120 27685 27856 28784 29041 30840 31360 31640 32896 33222 34820 35980 36160 36561 37779 37968 38307 41120 41784 43176 43392 44296 47040 47460 48748 49344 50372 50624 51076 52230 53970 54240 55370 55712 57568 58082 60935 61680 62965 63280 63845 66049 66444 69640 71960 72320 73122 75558 75936 76614 82240 83055 83568 85309 86352 87123 88592 89383 94080 94920 97496 98688 100744 101248 102152 104460 107940 108480 110740 111424 115136 116164 121870 123360 125930 126560 127690 132098 132888 139280 143920 145205 146244 151116 151872 153228 164480 166110 167136 170618 172704 174246 177184 178766 182805 188895 189840 191535 194992 196733 198147 201488 203287 204304 208920 215880 216960 221480 222848 230272 232328 243740 246720 251860 253120 255380 255927 264196 265776 268149 278560 287840 290410 292488 302232 303744 306456 330245 332220 334272 341236 345408 348492 354368 357532 365610 377790 379680 383070 389984 393466 396294 402976 406574 408608 417840 426545 431760 435615 442960 446915 447437 462343 464656 487480 493440 503720 506240 510760 511854 528392 531552 536298 557120 575680 580820 584976 590199 604464 609861 612912 625681 660490 664440 668544 682472 690816 696984 708736 715064 731220 755580 759360 766140 779968 786932 792588 805952 813148 817216 835680 853090 863520 871230 885920 893830 894874 924686 929312 974960 983665 990735 1007440 1016435 1021520 1023708 1056784 1063104 1072596 1114240 1151360 1161640 1169952 1180398 1208928 1219722 1225824 1251362 1279635 1320980 1328880 1340745 1342311 1364944 1377131 1387029 1393968 1423009 1430128 1462440 1511160 1518720 1532280 1559936 1573864 1585176 1611904 1626296 1634432 1671360 1706180 1727040 1742460 1771840 1787660 1789748 1849372 1858624 1877043 1949920 1967330 1981470 2014880 2032870 2043040 2047416 2113568 2126208 2145192 2237185 2311715 2323280 2339904 2360796 2417856 2439444 2451648 2502724 2559270 2641960 2657760 2681490 2684622 2729888 2754262 2774058 2787936 2846018 2860256 2924880 2950995 3022320 3049305 3064560 3128405 3132059 3147728 3170352 3236401 3252592 3281633 3342720 3412360 3454080 3484920 3543680 3575320 3579496 3698744 3717248 3754086 3899840 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545748752514 548479013088 559905659194 566751145632 594590080560 599898920565 619884065535 623712860016 636706877933 639892181936 661209669904 676148896920 679531520640 685598766360 697158797440 702169560960 708438932040 721225490048 727665003352 731305350784 755668194176 772741596480 779641075020 792786774080 799865227420 809644493760 826512087380 831617146688 839858488791 901531862560 909581254190 914131688480 944585242720 951344128896 959838272904 991814504856 1039521433360 1045738196160 1081838235072 1091497505028 1096958026176 1119811318388 1133502291264 1189180161120 1199797841130 1239768131070 1247425720032 1273413755866 1279784363872 1322419339808 1352297793840 1364371881285 1371197532720 1399764147985 1416877864080 1455330006704 1468324024621 1545483192960 1559282150040 1585573548160 1599730454840 1619288987520 1653024174760 1663234293376 1679716977582 1803063725120 1819162508380 1828263376960 1889170485440 1910120633799 1919676545808 1983629009712 2079042866720 2091476392320 2163676470144 2182995010056 2193916052352 2239622636776 2267004582528 2378360322240 2399595682260 2479536262140 2494851440064 2546827511732 2559568727744 2644838679616 2704595587680 2728743762570 2742395065440 2799528295970 2833755728160 2910660013408 2936648049242 3118564300080 3183534389665 3199460909680 3306048349520 3359433955164 3606127450240 3638325016760 3656526753920 3778340970880 3820241267598 3839353091616 3967258019424 4158085733440 4199292443955 4365990020112 4404972073863 4479245273552 4756720644480 4799191364520 4959072524280 4989702880128 5093655023464 5119137455488 5289677359232 5409191175360 5457487525140 5484790130880 5599056591940 5667511456320 5821320026816 5873296098484 6237128600160 6367068779330 6398921819360 6612096699040 6718867910328 7276650033520 7341620123105 7640482535196 7678706183232 7934516038848 8316171466880 8398584887910 8731980040224 8809944147726 8958490547104 9550603168995 9598382729040 9918145048560 10187310046928 10278268172347 10818382350720 10914975050280 10969580261760 11198113183880 11335022912640 11642640053632 11746592196968 12474257200320 12734137558660 12797843638720 13224193398080 13437735820656 14553300067040 14683240246210 15280965070392 15357412366464 15869032077696 16797169775820 17463960080448 17619888295452 17916981094208 19101206337990 19196765458080 19836290097120 20374620093856 20556536344694 21829950100560 22024860369315 22396226367760 23493184393936 24948514400640 25468275117320 25595687277440 26448386796160 26875471641312 29106600134080 29366480492420 30561930140784 30834804517041 33594339551640 34927920160896 35239776590904 35833962188416 38202412675980 38393530916160 39672580194240 40749240187712 41113072689388 43659900201120 44049720738630 44792452735520 46986368787872 50936550234640 51391340861735 53750943282624 58213200268160 58732960984840 61123860281568 61669609034082 67188679103280 70479553181808 71947877206429 76404825351960 76787061832320 79345160388480 81498480375424 82226145378776 87319800402240 88099441477260 89584905471040 93972737575744 101873100469280 102782681723470 107501886565248 117465921969680 122247720563136 123339218068164 134377358206560 140959106363616 143895754412858 152809650703920 154174022585205 164452290757552 174639600804480 176198882954520 179169810942080 187945475151488 203746200938560 205565363446940 215843631619287 234931843939360 244495441126272 246678436136328 268754716413120 281918212727232 287791508825716 305619301407840 308348045170410 328904581515104 352397765909040 359739386032145 407492401877120 411130726893880 431687263238574 469863687878720 493356872272656 537509432826240 563836425454464 575583017651432 611238602815680 616696090340820 657809163030208 704795531818080 719478772064290 822261453787760 863374526477148 939727375757440 986713744545312 1079218158096435 1151166035302864 1222477205631360 1233392180681640 1315618326060416 1409591063636160 1438957544128580 1644522907575520 1726749052954296 1973427489090624 2158436316192870 2302332070605728 2466784361363280 2819182127272320 2877915088257160 3289045815151040 3453498105908592 3946854978181248 4316872632385740 4604664141211456 4933568722726560 5755830176514320 6578091630302080 6906996211817184 8633745264771480 9209328282422912 9867137445453120 11511660353028640 13813992423634368 17267490529542960 19734274890906240 23023320706057280 27627984847268736 34534981059085920 46046641412114560 69069962118171840 138139924236343680
- Sum of all divisors σ(n): 519099743614261680
- Sum of proper divisors (its aliquot sum) s(n): 380959819377918000
- 138139924236343680 is an abundant number, because the sum of its proper divisors (380959819377918000) is greater than itself. Its abundance is 242819895141574320
Bases of 138139924236343680
- Binary: 1111010101100010110000111011110010110100000011001100000002
- Hexadecimal: 0x1EAC58779681980
- Base-36: 11S6IL3Z645C
Squares and roots of 138139924236343680
- 138139924236343680 squared (1381399242363436802) is 19082638668022772042018975075942400
- 138139924236343680 cubed (1381399242363436803) is 2636074259830188007064626291760456563654106284032000
-
The
square root of 138139924236343680 is 371671796.3961533631 -
The
cube root of 138139924236343680 is 516939.5230927949
Scales and comparisons
How big is 138139924236343680?- 138,139,924,236,343,680 seconds is equal to 4,392,422,295 years, 45 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 138,139,924,236,343,680 would take you about thirteen billion, one hundred seventy-seven million, two hundred sixty-six thousand, eight hundred eighty-seven 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 138139924236343680 cubic inches would be around 43078.3 feet tall.
Recreational maths with 138139924236343680
- 138139924236343680 backwards is 086343632429931831
- The number of decimal digits it has is: 18
- The sum of 138139924236343680's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 138139924236343680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138139924236343680 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138139924236343680/
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Numbermatics. 2024. "Number 138139924236343680 - Facts about the integer". https://numbermatics.com/n/138139924236343680/
The information we have on file for 138139924236343680 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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