138227844727492165800
138,227,844,727,492,165,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138227844727492165800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1944 divisors.
138227844727492165800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 138227844727492165800:
23 × 32 × 52 × 72 × 112 × 61 × 4607932
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 61 × 460793 × 460793)See below for interesting mathematical facts about the number 138227844727492165800 from the Numbermatics database.
Names of 138227844727492165800
- Cardinal: 138227844727492165800 can be written as One hundred thirty-eight quintillion, two hundred twenty-seven quadrillion, eight hundred forty-four trillion, seven hundred twenty-seven billion, four hundred ninety-two million, one hundred sixty-five thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382278447274921658 × 1020
Factors of 138227844727492165800
Divisors of 138227844727492165800
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 25 28 30 33 35 36 40 42 44 45 49 50 55 56 60 61 63 66 70 72 75 77 84 88 90 98 99 100 105 110 120 121 122 126 132 140 147 150 154 165 168 175 180 183 196 198 200 210 220 225 231 242 244 245 252 264 275 280 294 300 305 308 315 330 350 360 363 366 385 392 396 420 427 440 441 450 462 484 488 490 495 504 525 539 549 550 588 600 605 610 616 630 660 671 693 700 726 732 735 770 792 825 840 847 854 882 900 915 924 968 980 990 1050 1078 1089 1098 1100 1155 1176 1210 1220 1225 1260 1281 1320 1342 1386 1400 1452 1464 1470 1525 1540 1575 1617 1650 1694 1708 1764 1800 1815 1830 1848 1925 1960 1980 2013 2100 2135 2156 2178 2196 2200 2205 2310 2420 2440 2450 2475 2520 2541 2562 2684 2695 2745 2772 2904 2940 2989 3025 3050 3080 3150 3234 3300 3355 3388 3416 3465 3528 3630 3660 3675 3843 3850 3960 4026 4200 4235 4270 4312 4356 4392 4410 4575 4620 4697 4840 4851 4900 4950 5082 5124 5368 5390 5445 5490 5544 5775 5880 5929 5978 6039 6050 6100 6300 6405 6468 6600 6710 6776 6930 7260 7320 7350 7381 7623 7686 7700 8052 8085 8470 8540 8712 8820 8967 9075 9150 9240 9394 9702 9800 9900 10065 10164 10248 10675 10780 10890 10980 11025 11550 11858 11956 12078 12100 12200 12600 12705 12810 12936 13420 13475 13725 13860 14091 14520 14700 14762 14945 15246 15372 15400 16104 16170 16775 16940 17080 17325 17640 17787 17934 18150 18300 18788 19215 19404 19800 20130 20328 21175 21350 21560 21780 21960 22050 22143 23100 23485 23716 23912 24156 24200 24255 25410 25620 26840 26901 26950 27225 27450 27720 28182 29400 29524 29645 29890 30195 30492 30744 32025 32340 32879 33550 33880 34650 35574 35868 36300 36600 36905 37576 38115 38430 38808 40260 40425 42273 42350 42700 43560 44100 44286 44835 46200 46970 47432 48312 48510 50325 50820 51240 51667 53361 53802 53900 54450 54900 56364 59048 59290 59780 60390 60984 63525 64050 64680 65758 66429 67100 69300 70455 71148 71736 72600 73810 74725 76230 76860 80520 80850 84546 84700 85400 88200 88572 88935 89670 93940 96075 97020 98637 100650 101640 103334 106722 107604 107800 108900 109800 110715 112728 117425 118580 119560 120780 121275 127050 128100 131516 132858 134200 134505 138600 140910 142296 147620 148225 149450 150975 152460 153720 155001 161700 164395 169092 169400 177144 177870 179340 184525 187880 190575 192150 194040 197274 201300 206668 211365 213444 215208 217800 221430 224175 234850 237160 241560 242550 254100 256200 258335 263032 265716 266805 269010 281820 295240 295911 296450 298900 301950 304920 310002 323400 328790 332145 338184 352275 355740 358680 361669 369050 381150 384300 394548 402600 413336 422730 426888 442860 444675 448350 460793 465003 469700 485100 493185 508200 516670 531432 533610 538020 553575 563640 591822 592900 597800 603900 620004 657580 664290 672525 704550 711480 723338 738100 762300 768600 775005 789096 821975 845460 885720 889350 896700 921586 930006 939400 970200 986370 1033340 1056825 1067220 1076040 1085007 1107150 1183644 1185800 1207800 1240008 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7978519176190024 8092965147979635 8159849157467070 8240109968851992 8548413403060740 8583447884220825 8975834073213777 8992183497755150 9066499063852300 9249103026262440 9363761328240900 9403254743366814 9519824017044915 9809654724823800 9973148970237530 10071245517485768 10258096083672888 10300137461064990 10685516753825925 10790620197306180 10879798876622760 10970463867261283 11330151207171489 11423788820453898 11444597178961100 11561378782828050 11656927367810100 11967778764285036 12537672991155752 12589056896857210 12693098689393220 12822620104591110 12948744236767416 13488275246632725 13599748595778450 13733516614753320 13962408558332542 14104882115050221 14247355671767900 14714482087235700 14959723455356295 15106868276228652 15231718427271864 15415171710437400 15672091238944690 15866373361741525 16185930295959270 16319698314934140 17096826806121480 17166895768441650 17951668146427554 17984366995510300 18132998127704600 18727522656481800 18806509486733628 18883585345285815 19039648034089830 19946297940475060 20399622893667675 20600274922129980 20943612837498813 21371033507651850 21581240394612360 21940927734522566 22660302414342978 22847577640907796 22889194357922200 23122757565656100 23313854735620200 23508136858417035 23935557528570072 24932872425593825 25178113793714420 25386197378786440 25645240209182220 25750343652662475 26976550493265450 27199497191556900 27924817116665084 28209764230100442 28494711343535800 28559472051134745 29428964174471400 29919446910712590 30213736552457304 31344182477889380 31472642242143025 31732746723483050 32056550261477775 32371860591918540 32639396629868280 32911391601783849 34333791536883300 34906021395831355 35903336292855108 35968733991020600 37613018973467256 37767170690571630 38079296068179660 39180228097361725 39892595880950120 40464825739898175 40799245787335350 41200549844259960 41887225674997626 42742067015303700 43881855469045132 44879170366068885 45320604828685956 45695155281815592 46245515131312200 47016273716834070 47599120085224575 49865744851187650 50356227587428840 51290480418364440 51500687305324950 53953100986530900 54398994383113800 54852319336306415 55849634233330168 56419528460200884 56650756035857445 57118944102269490 59838893821425180 62688364955778760 62830838512496439 62945284484286050 63465493446966100 64113100522955550 64743721183837080 65822783203567698 68667583073766600 69812042791662710 70524410575251105 71806672585710216 74798617276781475 75534341381143260 76158592136359320 76793247070828981 78360456194723450 80929651479796350 81598491574670700 83774451349995252 85484134030607400 87763710938090264 89758340732137770 90641209657371912 94032547433668140 94417926726429075 95198240170449150 98734174805351547 99731489702375300 103001374610649900 104718064187494065 107906201973061800 109704638672612830 112839056920401768 113301512071714890 114237888204538980 117540684292085175 119677787642850360 125661677024992878 125890568968572100 126930986893932200 128226201045911100 131645566407135396 139624085583325420 141048821150502210 142797360255673725 149597234553562950 151068682762286520 153586494141657962 156720912389446900 161859302959592700 163196983149341400 164556958008919245 167548902699990504 174530106979156775 179516681464275540 188065094867336280 188835853452858150 190396480340898300 197468349610703094 199462979404750600 206002749221299800 209436128374988130 219409277345225660 224395851830344425 226603024143429780 228475776409077960 230379741212486943 235081368584170350 251323354049985756 251781137937144200 256452402091822200 263291132814270792 274261596681532075 279248171166650840 282097642301004420 283253780179287225 285594720511347450 299194469107125900 307172988283315924 313441824778893800 314154192562482195 323718605919185400 329113916017838490 349060213958313550 352622052876255525 359033362928551080 377671706905716300 380792960681796600 383966235354144905 394936699221406188 418872256749976260 438818554690451320 448791703660688850 453206048286859560 460759482424973886 470162737168340700 493670874026757735 502646708099971512 523590320937470325 548523193363064150 564195284602008840 566507560358574450 571189441022694900 598388938214251800 614345976566631848 628308385124964390 658227832035676980 691139223637460829 698120427916627100 705244105752511050 755343413811432600 767932470708289810 789873398442812376 822784790044596225 837744513499952520 897583407321377700 921518964849947772 940325474336681400 987341748053515470 1047180641874940650 1097046386726128300 1133015120717148900 1142378882045389800 1151898706062434715 1256616770249928780 1316455664071353960 1382278447274921658 1396240855833254200 1410488211505022100 1535864941416579620 1570770962812410975 1645569580089192450 1795166814642755400 1843037929699895544 1919831176770724525 1974683496107030940 2094361283749881300 2194092773452256600 2266030241434297800 2303797412124869430 2468354370133788675 2513233540499857560 2764556894549843316 2820976423010044200 3071729882833159240 3141541925624821950 3291139160178384900 3455696118187304145 3839662353541449050 3949366992214061880 4188722567499762600 4607594824249738860 4936708740267577350 5529113789099686632 5759493530312173575 6283083851249643900 6582278320356769800 6911392236374608290 7679324707082898100 9215189648499477720 9873417480535154700 11518987060624347150 12566167702499287800 13822784472749216580 15358649414165796200 17278480590936520725 19746834961070309400 23037974121248694300 27645568945498433160 34556961181873041450 46075948242497388600 69113922363746082900 138227844727492165800
- Sum of all divisors σ(n): 603291463086305472570
- Sum of proper divisors (its aliquot sum) s(n): 465063618358813306770
- 138227844727492165800 is an abundant number, because the sum of its proper divisors (465063618358813306770) is greater than itself. Its abundance is 326835773631321140970
Bases of 138227844727492165800
- Binary: 11101111110010010111111010001101010110010100000010111000000101010002
- Hexadecimal: 0x77E4BF46ACA05C0A8
- Base-36: T66UPI2IFV4Q0
Squares and roots of 138227844727492165800
- 138227844727492165800 squared (1382278447274921658002) is 19106937058007683740093921700374689640000
- 138227844727492165800 cubed (1382278447274921658003) is 2641110728872252080961329231269978734327537797706422312000000
-
The
square root of 138227844727492165800 is 11757033840.5352974385 -
The
cube root of 138227844727492165800 is 5170491.7022087717
Scales and comparisons
How big is 138227844727492165800?- 138,227,844,727,492,165,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,227,844,727,492,165,800 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 138227844727492165800 cubic inches would be around 430874.3 feet tall.
Recreational maths with 138227844727492165800
- 138227844727492165800 backwards is 008561294727448722831
- 138227844727492165800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138227844727492165800's digits is 90
- More coming soon!
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"Number 138227844727492165800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 138227844727492165800 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138227844727492165800/
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Numbermatics. 2024. "Number 138227844727492165800 - Facts about the integer". https://numbermatics.com/n/138227844727492165800/
The information we have on file for 138227844727492165800 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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