138492648398861120700
138,492,648,398,861,120,700 is an even composite number composed of six prime numbers multiplied together.
138492648398861120700 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138492648398861120700:
22 × 32 × 52 × 73 × 4212 × 503112
(2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 421 × 421 × 50311 × 50311)See below for interesting mathematical facts about the number 138492648398861120700 from the Numbermatics database.
Names of 138492648398861120700
- Cardinal: 138492648398861120700 can be written as One hundred thirty-eight quintillion, four hundred ninety-two quadrillion, six hundred forty-eight trillion, three hundred ninety-eight billion, eight hundred sixty-one million, one hundred twenty thousand, seven hundred.
Scientific notation
- Scientific notation: 1.384926483988611207 × 1020
Factors of 138492648398861120700
Divisors of 138492648398861120700
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 49 50 60 63 70 75 84 90 98 100 105 126 140 147 150 175 180 196 210 225 245 252 294 300 315 343 350 420 421 441 450 490 525 588 630 686 700 735 842 882 900 980 1029 1050 1225 1260 1263 1372 1470 1575 1684 1715 1764 2058 2100 2105 2205 2450 2526 2940 2947 3087 3150 3430 3675 3789 4116 4210 4410 4900 5052 5145 5894 6174 6300 6315 6860 7350 7578 8420 8575 8820 8841 10290 10525 11025 11788 12348 12630 14700 14735 15156 15435 17150 17682 18945 20580 20629 21050 22050 25260 25725 26523 29470 30870 31575 34300 35364 37890 41258 42100 44100 44205 50311 51450 53046 58940 61740 61887 63150 73675 75780 77175 82516 88410 94725 100622 102900 103145 106092 123774 126300 132615 144403 147350 150933 154350 176820 177241 185661 189450 201244 206290 221025 247548 251555 265230 288806 294700 301866 308700 309435 352177 354482 371322 378900 412580 433209 442050 452799 503110 515725 530460 531723 577612 603732 618870 663075 704354 708964 722015 742644 754665 866418 884100 886205 905598 928305 1006220 1031450 1056531 1063446 1237740 1240687 1257775 1299627 1326150 1408708 1444030 1509330 1547175 1595169 1732836 1760885 1772410 1811196 1856610 2062900 2113062 2126892 2166045 2263995 2465239 2481374 2515550 2599254 2652300 2658615 2888060 3018660 3094350 3169593 3190338 3521770 3544820 3610075 3713220 3722061 3773325 4226124 4332090 4431025 4527990 4641525 4930478 4962748 5031100 5198508 5282655 5317230 6188700 6203435 6339186 6380676 6498135 7043540 7220150 7395717 7444122 7546650 7975845 8664180 8684809 8804425 8862050 9055980 9283050 9860956 10565310 10634460 10830225 11166183 11319975 12326195 12406870 12678372 12996270 13293075 14440300 14791434 14888244 15093300 15847965 15951690 17256673 17369618 17608850 17724100 18566100 18610305 21130620 21180931 21660450 22187151 22332366 22639950 24652390 24813740 25992540 26054427 26413275 26586150 29582868 31017175 31695930 31903380 32490675 34513346 34739236 35217700 36978585 37220610 39879225 42361862 43320900 43424045 44374302 44664732 45279900 49304780 51770019 52108854 52826550 53172300 55830915 60793663 61630975 62034350 63391860 63542793 64981350 69026692 73957170 74441220 78163281 79239825 79758450 84723724 86283365 86848090 88748604 93051525 103540038 104217708 105653100 105904655 110935755 111661830 121587326 123261950 124068700 127085586 129962700 130272135 147914340 148266517 155310057 156326562 158479650 159516900 172566730 173696180 182380989 184892925 186103050 190628379 207080076 211809310 217120225 221871510 223323660 243174652 246523900 254171172 258850095 260544270 279154575 296533034 303968315 310620114 312653124 316959300 317713965 345133460 364761978 369785850 372206100 381256758 390816405 423618620 431416825 434240450 443743020 444799551 517700190 521088540 529523275 547142967 554678775 558309150 593066068 607936630 621240228 635427930 651360675 729523956 739571700 741332585 762513516 776550285 781632810 862833650 868480900 889599102 911904945 953141895 1035400380 1037865619 1059046550 1094285934 1109357550 1116618300 1215873260 1270855860 1294250475 1302721350 1334398653 1482665170 1519841575 1553100570 1563265620 1588569825 1725667300 1779198204 1823809890 1906283790 1954082025 2075731238 2118093100 2188571868 2218715100 2223997755 2531196721 2588500950 2605442700 2668797306 2735714835 2965330340 3039683150 3106201140 3113596857 3177139650 3647619780 3706662925 3812567580 3882751425 3908164050 4151462476 4447995510 4559524725 4765709475 5062393442 5177001900 5189328095 5337594612 5471429670 6079366300 6227193714 6354279300 6671993265 7265059333 7413325850 7593590163 7765502850 7816328100 8895991020 8917171951 9119049450 9340790571 9531418950 10124786884 10378656190 10942859340 11119988775 12454387428 12655983605 13343986530 13678574175 14530118666 14826651700 15187180326 15531005700 15567984285 17718377047 17834343902 18238098900 18681581142 19062837900 20757312380 21795177999 22239977550 22780770489 25311967210 25946640475 26687973060 26751515853 27357148350 29060237332 30374360652 31135968570 33359966325 35436754094 35668687804 36325296665 37363162284 37967950815 43590355998 44479955100 44585859755 45561540978 46703952855 50623934420 51893280950 53155131141 53503031706 54714296700 62271937140 62420203657 63279918025 65385533997 66719932650 70873508188 72650593330 75935901630 77839921425 80254547559 87180711996 88591885235 89171719510 91123081956 93407905710 103786561900 106310262282 107006063412 108975889995 113903852445 124028639329 124840407314 126559836050 130771067994 133439865300 133757579265 145301186660 151871803260 155679842850 159465393423 160509095118 177183770470 178343439020 181626483325 186815811420 187260610971 189839754075 212620524564 217951779990 222929298775 227807704890 233519764275 248057278658 249680814628 253119672100 261542135988 265775655705 267515158530 311359685700 312101018285 318930786846 321018190236 326927669985 354367540940 363252966650 372085917987 374521221942 379679508150 401272737795 435903559980 436941425599 442959426175 445858597550 455615409780 467039528550 496114557316 531551311410 535030317060 544879449975 561781832913 569519262225 620143196645 624202036570 637861573692 653855339970 668787896325 726505933300 744171835974 749042443884 759359016300 797326967115 802545475590 868200475303 873882851198 885918852350 891717195100 934079057100 936303054855 1063102622820 1065633819541 1089758899950 1116257753961 1123563665826 1139038524450 1240286393290 1248404073140 1307710679940 1310824276797 1328878278525 1337575792650 1488343671948 1560505091425 1594653934230 1605090951180 1634638349925 1736400950606 1747765702396 1771837704700 1860429589935 1872606109710 2006363688975 2131267639082 2179517799900 2184707127995 2232515507922 2247127331652 2278077048900 2480572786580 2604601425909 2621648553594 2657756557050 2675151585300 2808909164565 3058589979193 3100715983225 3121010182850 3189307868460 3196901458623 3269276699850 3472801901212 3720859179870 3745212219420 3932472830391 3986634835575 4012727377950 4262535278164 4341002376515 4369414255990 4465031015844 4681515274275 5209202851818 5243297107188 5315513114100 5328169097705 5581288769805 5617818329130 6117179958386 6201431966450 6242020365700 6393802917246 6538553399700 6554121383985 7441718359740 7459436736787 7813804277727 7864945660782 7973269671150 8025454755900 8682004753030 8738828511980 9175769937579 9302147949675 9363030548550 9590704375869 10418405703636 10656338195410 10923535639975 11162577539610 11235636658260 12234359916772 12402863932900 12787605834492 13023007129545 13108242767970 14044545822825 14918873473574 15292949895965 15627608555454 15729891321564 15946539342300 15984507293115 17364009506060 18351539875158 18604295899350 18726061097100 19181408751738 19662364151955 21312676390820 21705011882575 21847071279950 22325155079220 22378310210361 26046014259090 26216485535940 26640845488525 27527309812737 27906443849025 28089091645650 29837746947148 30585899791930 31255217110908 31969014586230 32770606919925 36703079750316 37208591798700 37297183683935 38362817503476 39069021388635 39324728303910 43410023765150 43694142559900 44756620420722 45878849687895 47953521879345 52092028518180 52216057157509 53281690977050 55054619625474 55812887698050 56178183291300 61171799583860 63938029172460 65115035647725 65541213839850 67134930631083 74594367367870 76464749479825 78138042777270 78649456607820 79922536465575 86820047530300 89513240841444 91757699375790 95907043758690 98311820759775 104432114315018 106563381954100 110109239250948 111625775396100 111891551051805 130230071295450 131082427679700 134269861262166 137636549063685 149188734735740 152929498959650 156276085554540 156648171472527 159845072931150 183515398751580 186485918419675 191814087517380 195345106943175 196623641519550 208864228630036 223783102103610 229394248439475 239767609396725 260460142590900 261080285787545 268539722524332 275273098127370 305858997919300 313296342945054 319690145862300 335674653155415 365512400102563 372971836839350 390690213886350 393247283039100 447566204207220 448631838026761 458788496878950 469944514417581 479535218793450 522160571575090 550546196254740 559457755259025 626592685890108 671349306310830 688182745318425 731024800205126 745943673678700 781380427772700 783240857362635 897263676053522 917576993757900 939889028835162 959070437586900 1044321143150180 1096537200307689 1118915510518050 1305401428937725 1342698612621660 1345895514080283 1376365490636850 1462049600410252 1566481714725270 1678373265777075 1794527352107044 1827562000512815 1879778057670324 2193074400615378 2237831021036100 2243159190133805 2349722572087905 2610802857875450 2691791028160566 2752730981273700 3132963429450540 3140422866187327 3289611600923067 3356746531554150 3655124001025630 3916204286813175 4037686542240849 4386148801230756 4486318380267610 4699445144175810 5221605715750900 5383582056321132 5482686001538445 6280845732374654 6579223201846134 6713493063108300 6729477570401415 7310248002051260 7832408573626350 8075373084481698 8972636760535220 9137810002564075 9398890288351620 9421268598561981 10965372003076890 11215795950669025 11748612860439525 12561691464749308 13158446403692268 13458955140802830 15664817147252700 15702114330936635 16150746168963396 16448058004615335 18275620005128150 18842537197123962 20188432711204245 21930744006153780 21982960063311289 22431591901338050 23497225720879050 26917910281605660 27413430007692225 28263805795685943 31404228661873270 32896116009230670 33647387852007075 36551240010256300 37685074394247924 40376865422408490 43965920126622578 44863183802676100 46994451441758100 47106342992809905 54826860015384450 56527611591371886 62808457323746540 65792232018461340 65948880189933867 67294775704014150 78510571654683175 80753730844816980 82240290023076675 87931840253245156 94212685985619810 100942163556021225 109653720030768900 109914800316556445 113055223182743772 131897760379867734 134589551408028300 141319028978429715 153880720443179023 157021143309366350 164480580046153350 188425371971239620 197846640569801601 201884327112042450 219829600633112890 235531714964049525 263795520759735468 282638057956859430 307761440886358046 314042286618732700 328961160092306700 329744400949669335 395693281139603202 403768654224084900 439659201266225780 461642161329537069 471063429928099050 549574001582782225 565276115913718860 615522881772716092 659488801899338670 706595144892148575 769403602215895115 791386562279206404 923284322659074138 942126859856198100 989233202849008005 1099148003165564450 1318977603798677340 1384926483988611207 1413190289784297150 1538807204431790230 1648722004748346675 1846568645318148276 1978466405698016010 2198296006331128900 2308210806647685345 2769852967977222414 2826380579568594300 3077614408863580460 3297444009496693350 3847018011079475575 3956932811396032020 4616421613295370690 4946166014245040025 5539705935954444828 6594888018993386700 6924632419943056035 7694036022158951150 9232843226590741380 9892332028490080050 11541054033238426725 13849264839886112070 15388072044317902300 19784664056980160100 23082108066476853450 27698529679772224140 34623162099715280175 46164216132953706900 69246324199430560350 138492648398861120700
- Sum of all divisors σ(n): 507451569728385063600
- Sum of proper divisors (its aliquot sum) s(n): 368958921329523942900
- 138492648398861120700 is an abundant number, because the sum of its proper divisors (368958921329523942900) is greater than itself. Its abundance is 230466272930662822200
Bases of 138492648398861120700
- Binary: 11110000001111110001011100111110100000010010011000000110100101111002
- Hexadecimal: 0x781F8B9F4093034BC
- Base-36: T87A2KHR4R5J0
Squares and roots of 138492648398861120700
- 138492648398861120700 squared (1384926483988611207002) is 19180213660530569739071420806059968490000
- 138492648398861120700 cubed (1384926483988611207003) is 2656318586702893204017342531289072963023037903328086743000000
-
The
square root of 138492648398861120700 is 11768289952.1919122665 -
The
cube root of 138492648398861120700 is 5173791.3070805927
Scales and comparisons
How big is 138492648398861120700?- 138,492,648,398,861,120,700 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,492,648,398,861,120,700 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138492648398861120700 cubic inches would be around 431149.3 feet tall.
Recreational maths with 138492648398861120700
- 138492648398861120700 backwards is 007021168893846294831
- 138492648398861120700 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138492648398861120700's digits is 90
- More coming soon!
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The information we have on file for 138492648398861120700 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 138492648398861120700, math, Factors of 138492648398861120700, curriculum, school, college, exams, university, Prime factorization of 138492648398861120700, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, four hundred ninety-two quadrillion, six hundred forty-eight trillion, three hundred ninety-eight billion, eight hundred sixty-one million, one hundred twenty thousand, seven hundred.