138221756168496
138,221,756,168,496 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138221756168496 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138221756168496 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138221756168496:
24 × 3 × 72 × 113 × 13 × 31 × 3312
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 11 × 13 × 31 × 331 × 331)See below for interesting mathematical facts about the number 138221756168496 from the Numbermatics database.
Names of 138221756168496
- Cardinal: 138221756168496 can be written as One hundred thirty-eight trillion, two hundred twenty-one billion, seven hundred fifty-six million, one hundred sixty-eight thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38221756168496 × 1014
Factors of 138221756168496
Divisors of 138221756168496
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 31 33 39 42 44 48 49 52 56 62 66 77 78 84 88 91 93 98 104 112 121 124 132 143 147 154 156 168 176 182 186 196 208 217 231 242 248 264 273 286 294 308 312 331 336 341 363 364 372 392 403 429 434 462 484 496 528 539 546 572 588 616 624 637 651 662 682 726 728 744 784 806 847 858 868 924 968 993 1001 1023 1078 1092 1144 1176 1209 1232 1274 1302 1324 1331 1364 1452 1456 1488 1519 1573 1612 1617 1694 1716 1736 1848 1911 1936 1986 2002 2046 2156 2184 2288 2317 2352 2387 2418 2541 2548 2604 2648 2662 2728 2821 2904 3003 3038 3146 3224 3234 3388 3432 3472 3641 3696 3751 3822 3972 3993 4004 4092 4303 4312 4368 4433 4557 4634 4719 4774 4836 5082 5096 5208 5296 5324 5456 5642 5808 5929 6006 6076 6292 6448 6468 6776 6864 6951 7007 7161 7282 7502 7644 7944 7986 8008 8184 8463 8606 8624 8866 9114 9268 9317 9438 9548 9672 10164 10192 10261 10416 10648 10923 11011 11253 11284 11858 12012 12152 12584 12909 12936 13299 13552 13902 14014 14322 14564 15004 15288 15888 15972 16016 16219 16368 16709 16926 17212 17303 17732 17787 18228 18536 18634 18876 19096 19344 19747 20328 20522 21021 21296 21846 22022 22506 22568 23716 24024 24304 25168 25487 25818 25872 26257 26598 27804 27951 28028 28644 29128 30008 30121 30576 30783 31031 31944 32438 33033 33418 33852 34424 34606 35464 35574 36456 37072 37268 37752 38192 39494 40051 40656 41044 41261 42042 43692 44044 45012 45136 47333 47432 48048 48657 48763 50127 50974 51636 51909 52514 53196 55608 55902 56056 57288 58256 59241 60016 60242 61566 62062 63888 64876 65219 66066 66836 67704 68848 69212 70928 71148 71827 72912 74536 75504 76461 77077 78771 78988 80102 82088 82522 84084 87384 88088 90024 90363 93093 94666 94864 97314 97526 100254 101948 103272 103818 105028 106392 109561 111216 111804 112112 112871 114576 118482 120153 120484 121121 123132 123783 124124 129752 130438 132132 133393 133672 135408 138424 141999 142296 143654 146289 149072 152922 154154 157542 157976 160204 164176 165044 168168 174768 176176 178409 180048 180726 183799 186186 189332 194628 195052 195657 200508 203896 206544 207636 210056 210847 212784 215481 217217 219122 223608 225742 231231 236964 240306 240968 242242 246264 247566 248248 259504 260876 264264 266786 267344 276848 280357 283998 284592 287308 288827 292578 305844 308308 315084 315952 320408 328683 330088 331331 336336 338613 341341 356818 361452 363363 367598 372372 378664 389256 390104 391314 400179 401016 407792 415272 420112 421694 430962 434434 438244 440561 447216 451484 462462 473928 480612 481936 484484 492528 495132 496496 502789 520663 521752 528528 533572 535227 536393 551397 560714 567996 574616 577654 585156 611688 616616 630168 632541 640816 651651 657366 660176 662662 677226 682682 713636 722904 726726 735196 744744 757328 766927 778512 780208 782628 790097 800358 802032 830544 841071 843388 847847 861924 866481 868868 876488 881122 902968 924924 933751 947856 961224 968968 990264 993993 1005578 1024023 1041326 1043504 1067144 1070454 1072786 1102794 1121428 1135992 1149232 1155308 1170312 1205171 1223376 1233232 1241581 1260336 1265082 1303302 1314732 1321683 1325324 1354452 1365364 1424293 1427272 1445808 1453452 1467323 1470392 1489488 1508367 1533854 1561989 1565256 1580194 1600716 1609179 1682142 1686776 1695694 1723848 1732962 1737736 1752976 1762244 1805936 1849848 1867502 1922448 1937936 1962499 1980528 1987986 2011156 2021789 2048046 2082652 2134288 2140908 2145572 2205588 2242856 2271984 2300781 2310616 2319317 2340624 2370291 2389387 2410342 2483162 2530164 2543541 2606604 2629464 2643366 2650648 2708904 2730728 2801253 2848586 2854544 2906904 2934646 2940784 3016734 3067708 3083927 3123978 3130512 3160388 3201432 3218358 3364284 3373552 3391388 3396391 3447696 3465924 3475472 3524488 3615513 3644641 3699696 3724743 3735004 3754751 3924998 3975972 4022312 4043578 4096092 4165304 4272879 4281816 4291144 4401969 4411176 4485712 4601562 4621232 4638634 4740582 4778774 4820684 4966324 5060328 5087082 5213208 5258928 5286732 5301296 5368489 5417808 5461456 5530679 5602506 5697172 5727293 5813808 5869292 5887497 6033468 6065367 6135416 6167854 6247956 6320776 6402864 6436716 6536257 6728568 6782776 6792782 6931848 6957951 7048976 7168161 7231026 7289282 7449486 7470008 7509502 7849996 7951944 8044624 8087156 8192184 8330608 8436197 8545758 8563632 8582288 8691067 8803938 8822352 9203124 9251781 9277268 9481164 9557548 9641368 9932648 9970051 10120656 10174164 10189173 10271261 10426416 10573464 10736978 10933923 11061358 11205012 11264253 11394344 11454586 11738584 11774994 12066936 12130734 12270832 12335708 12495912 12641552 12873432 13072514 13256881 13457136 13565552 13585564 13657391 13863696 13915902 14336322 14462052 14578564 14898972 14940016 15019004 15667223 15699992 15903888 16105467 16140553 16174312 16384368 16592037 16872394 17091516 17181879 17382134 17607876 18406248 18503562 18554536 18962328 19115096 19282736 19608771 19865296 19940102 20348328 20378346 20542522 21146928 21473956 21587489 21867846 22122716 22410024 22528506 22788688 22909172 23477168 23549988 23774737 24133872 24261468 24671416 24991824 25308591 25512487 25746864 26073201 26145028 26283257 26513762 27171128 27314782 27831804 28672644 28924104 29157128 29797944 29910153 30038008 30813783 31334446 31399984 32210934 32281106 32348624 33184074 33744788 34183032 34363758 34764268 35215752 36812496 37007124 37109072 37360301 37924656 38230192 39217542 39770643 39880204 40091051 40696656 40756692 40972173 41085044 42947912 43174978 43735692 44153083 44245432 44820048 45057012 45818344 47001669 47099976 47549474 48421659 48522936 49342832 50617182 51024974 52146402 52290056 52566514 53027524 54342256 54629564 55663608 57345288 57848208 58314256 59053379 59595888 59820306 60076016 60837469 61627566 62668892 64421868 64562212 64762467 66368148 67489576 68366064 68727516 69528536 69790357 70431504 71324211 71898827 74014248 74720602 76537461 78435084 78849771 79541286 79760408 80182102 81513384 81944346 82170088 85895824 86349956 87471384 88306166 88490864 90114024 91636688 92798167 94003338 94199952 95098948 95601737 96843318 97045872 101234364 102049948 104292804 104580112 105133028 106055048 109259128 109670561 111327216 112080903 112983871 114690576 118106758 119640612 120273153 121674938 123255132 125337784 128843736 129124424 129524934 132459249 132736296 134979152 137455032 139057072 139580714 142648422 143797654 145825691 148028496 149441204 153074922 156870168 157699542 159082572 159520816 160364204 163026768 163888692 164340176 166423159 172339453 172699912 174942768 176612332 177160137 177546083 180228048 182512407 185596334 188006676 190197896 191203474 193686636 202468728 204099896 208585608 209371071 210266056 212110096 215696481 218518256 219341122 224161806 225967742 236213516 239281224 240546306 243349876 246510264 250675568 257687472 258248848 259049868 261522107 264918498 265472592 274910064 278394501 279161428 280637357 285296844 286805211 287595308 291651382 298882408 306149844 309071581 313740336 315399084 318165144 320728408 327777384 329011683 332846318 338951613 344678906 345399824 353224664 354320274 355092166 365024814 371192668 376013352 380395792 382406948 387373272 404937456 408199792 410963311 417171216 418742142 420532112 431392962 437477073 438682244 448323612 451935484 472427032 478562448 481092612 485683913 486699752 493020528 499269477 517018359 518099736 523044214 529836996 532638249 556789002 558322856 561274714 570593688 573610422 575190616 583302764 597764816 612299688 618143162 630798168 636330288 641456816 649587169 655554768 658023366 665692636 669212159 677903226 689357812 706449328 708640548 710184332 730049628 742385336 752026704 764813896 767693927 774746544 784566321 790887097 821926622 837484284 841912071 862785924 874954146 877364488 896647224 903870968 927214743 944854064 962185224 971367826 973399504 998538954 1020779837 1034036718 1036199472 1046088428 1059673992 1065276498 1113578004 1116645712 1122549428 1141187376 1147220844 1150381232 1166605528 1206376171 1224599376 1232889933 1236286324 1242822581 1261596336 1299174338 1316046732 1331385272 1338424318 1355806452 1378715624 1417281096 1420368664 1457051739 1460099256 1484770672 1529627792 1535387854 1569132642 1581774194 1643853244 1674968568 1683824142 1725571848 1749908292 1754728976 1793294448 1807741936 1830654749 1854429486 1895733983 1924370448 1942735652 1948761507 1997077908 2007636477 2041559674 2068073436 2092176856 2119347984 2130552996 2163501067 2227156008 2245098856 2294441688 2303081781 2333211056 2372661291 2412752342 2465779866 2472572648 2485645162 2598348676 2632093464 2662770544 2676848636 2711612904 2757431248 2834562192 2840737328 2876743177 2914103478 2920198512 3062339511 3070775708 3138265284 3163548388 3287706488 3349937136 3367648284 3399787391 3451143696 3499816584 3619128513 3661309498 3708858972 3728467743 3791467966 3885471304 3897523014 3994155816 4015272954 4083119348 4136146872 4184353712 4261105992 4327002134 4454312016 4490197712 4520596421 4588883376 4606163562 4745322582 4825504684 4931559732 4945145296 4971290324 5196697352 5264186928 5342523043 5353697272 5423225808 5491964247 5687201949 5753486354 5828206956 6124679022 6141551416 6276530568 6327096776 6490503201 6575412976 6735296568 6799574782 6999633168 7145458859 7238257026 7322618996 7417717944 7456935486 7582935932 7770942608 7795046028 7988311632 8030545908 8166238696 8272293744 8444633197 8522211984 8630229531 8654004268 8699758067 9041192842 9212327124 9490645164 9651009368 9863119464 9942580648 10199362173 10393394704 10685046086 10707394544 10983928494 11374403898 11506972708 11656413912 12249358044 12283102832 12553061136 12654193552 12981006402 13270137881 13470593136 13561789263 13599149564 14290917718 14476514052 14645237992 14835435888 14913870972 15165871864 15590092056 16027569129 16061091816 16332477392 16889266394 17260459062 17308008536 17399516134 18082385684 18424654248 18981290328 19302018736 19726238928 19885161296 20137202239 20398724346 21370092172 21436376577 21967856988 22748807796 23013945416 23312827824 23798511737 24498716088 25333899591 25962012804 26099274201 26540275762 27123578526 27198299128 28581835436 28953028104 29290475984 29827741944 30331743728 31180184112 31644174947 32055138258 32122183632 33778532788 34520918124 34616017072 34799032268 36164771368 36849308496 37397661301 37962580656 39810413643 40274404478 40797448692 42740184344 42872753154 43935713976 45497615592 46027890832 47597023474 48997432176 50667799182 51924025608 52198548402 53080551524 54247157052 54396598256 57163670872 57906056208 58767753473 59655483888 60411606717 63288349894 64110276516 67557065576 69041836248 69598064536 71395535211 72329542736 74795322602 79620827286 80548808956 81594897384 85480368688 85745506308 87871427952 90995231184 92890965167 94932524841 95194046948 101335598364 103848051216 104397096804 106161103048 108494314104 112192983903 114327341744 117535506946 120823213434 126576699788 128220553032 135114131152 138083672496 139196129072 142791070422 149590645204 159241654572 161097617912 163189794768 171491012616 176303260419 185781930334 189865049682 190388093896 202671196728 208794193608 212322206096 216988628208 221509224629 224385967806 235071013892 241646426868 253153399576 256441106064 261783629107 278672895501 285582140844 299181290408 318483309144 322195235824 342982025232 352606520838 371563860668 379730099364 380776187792 405342393456 411374274311 417588387216 443018449258 448771935612 470142027784 483292853736 506306799152 523567258214 557345791002 571164281688 598362580816 636966618288 664527673887 705213041676 743127721336 759460198728 785350887321 822748548622 886036898516 897543871224 940284055568 966585707472 1047134516428 1114691582004 1142328563376 1234122822933 1329055347774 1410426083352 1486255442672 1518920397456 1570701774642 1645497097244 1772073797032 1795087742448 2094269032856 2229383164008 2468245645866 2658110695548 2820852166704 2879619920177 3141403549284 3290994194488 3544147594064 4188538065712 4458766328016 4936491291732 5316221391096 5759239840354 6282807098568 6581988388976 8638859760531 9872982583464 10632442782192 11518479680708 12565614197136 17277719521062 19745965166928 23036959361416 34555439042124 46073918722832 69110878084248 138221756168496
- Sum of all divisors σ(n): 509431342307328
- Sum of proper divisors (its aliquot sum) s(n): 371209586138832
- 138221756168496 is an abundant number, because the sum of its proper divisors (371209586138832) is greater than itself. Its abundance is 232987829970336
Bases of 138221756168496
- Binary: 111110110110110010000101010110100111001001100002
- Hexadecimal: 0x7DB642AD3930
- Base-36: 1CZU74UC6O
Squares and roots of 138221756168496
- 138221756168496 squared (1382217561684962) is 19105253878303162026342902016
- 138221756168496 cubed (1382217561684963) is 2640761743104032213112203763578133714087936
-
The
square root of 138221756168496 is 11756774.9050705227 -
The
cube root of 138221756168496 is 51704.1578574863
Scales and comparisons
How big is 138221756168496?- 138,221,756,168,496 seconds is equal to 4,395,024 years, 15 weeks, 3 days, 13 hours, 1 minute, 36 seconds.
-
To count from 1 to 138,221,756,168,496 would take you about ten million, nine hundred eighty-seven thousand, five hundred sixty 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 138221756168496 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138221756168496
- 138221756168496 backwards is 694861657122831
- The number of decimal digits it has is: 15
- The sum of 138221756168496's digits is 69
- 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 138221756168496 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138221756168496 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138221756168496/
Chicago style:
Numbermatics. 2024. "Number 138221756168496 - Facts about the integer". https://numbermatics.com/n/138221756168496/
The information we have on file for 138221756168496 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 138221756168496, math, Factors of 138221756168496, curriculum, school, college, exams, university, Prime factorization of 138221756168496, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred twenty-one billion, seven hundred fifty-six million, one hundred sixty-eight thousand, four hundred ninety-six.