138666985472736
138,666,985,472,736 is an even composite number composed of five prime numbers multiplied together.
138666985472736 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138666985472736:
25 × 38 × 7 × 372 × 413
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 37 × 37 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138666985472736 from the Numbermatics database.
Names of 138666985472736
- Cardinal: 138666985472736 can be written as One hundred thirty-eight trillion, six hundred sixty-six billion, nine hundred eighty-five million, four hundred seventy-two thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.38666985472736 × 1014
Factors of 138666985472736
Divisors of 138666985472736
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 41 42 48 54 56 63 72 74 81 82 84 96 108 111 112 123 126 144 148 162 164 168 189 216 222 224 243 246 252 259 287 288 296 324 328 333 336 369 378 432 444 486 492 504 518 567 574 592 648 656 666 672 729 738 756 777 861 864 888 972 984 999 1008 1036 1107 1134 1148 1184 1296 1312 1332 1369 1458 1476 1512 1517 1554 1681 1701 1722 1776 1944 1968 1998 2016 2072 2187 2214 2268 2296 2331 2583 2592 2664 2738 2916 2952 2997 3024 3034 3108 3321 3362 3402 3444 3552 3888 3936 3996 4107 4144 4374 4428 4536 4551 4592 4662 5043 5103 5166 5328 5476 5832 5904 5994 6048 6068 6216 6561 6642 6724 6804 6888 6993 7749 7776 7992 8214 8288 8748 8856 8991 9072 9102 9184 9324 9583 9963 10086 10206 10332 10619 10656 10952 11664 11767 11808 11988 12136 12321 12432 13122 13284 13448 13608 13653 13776 13986 15129 15309 15498 15984 16428 17496 17712 17982 18144 18204 18648 19166 19926 20172 20412 20664 20979 21238 21904 23247 23328 23534 23976 24272 24642 24864 26244 26568 26896 26973 27216 27306 27552 27972 28749 29889 30258 30618 30996 31857 31968 32856 34992 35301 35424 35964 36408 36963 37296 38332 39852 40344 40824 40959 41328 41958 42476 43808 45387 45927 46494 47068 47952 48544 49284 52488 53136 53792 53946 54432 54612 55944 56129 57498 59778 60516 61236 61992 62197 62937 63714 65712 68921 69741 69984 70602 71928 72816 73926 74592 76664 79704 80688 80919 81648 81918 82656 83916 84952 86247 89667 90774 91854 92988 94136 95571 95904 98568 104976 105903 106272 107892 109224 110889 111888 112258 114996 119556 121032 122472 122877 123984 124394 125874 127428 131424 136161 137842 139482 141204 143856 145632 147852 153328 159408 161376 161838 163296 163836 167832 168387 169904 172494 179334 181548 183708 185976 186591 188272 188811 191142 197136 206763 209223 209952 211806 215784 218448 221778 223776 224516 229992 239112 242064 242757 244944 245754 247968 248788 251748 254856 258741 269001 272322 275684 278964 282408 286713 287712 295704 306656 317709 318816 323676 327672 332667 335664 336774 339808 344988 358668 363096 367416 368631 371952 373182 376544 377622 382284 392903 394272 408483 413526 418446 423612 431568 435379 436896 443556 449032 459984 478224 482447 484128 485514 489888 491508 497576 503496 505161 509712 517482 538002 544644 551368 557928 559773 564816 566433 573426 591408 620289 627669 635418 647352 655344 665334 671328 673548 689976 717336 726192 734832 737262 743904 746364 755244 764568 776223 785806 816966 827052 836892 847224 860139 863136 870758 887112 898064 919968 953127 956448 964894 971028 983016 995152 998001 1006992 1010322 1019424 1034964 1076004 1089288 1102736 1105893 1115856 1119546 1129632 1132866 1146852 1178709 1182816 1225449 1240578 1255338 1270836 1294704 1306137 1310688 1330668 1347096 1379952 1434672 1447341 1452384 1469664 1474524 1492728 1510488 1515483 1529136 1552446 1571612 1633932 1654104 1673784 1679319 1694448 1699299 1720278 1741516 1774224 1796128 1860867 1883007 1906254 1929788 1942056 1966032 1990304 1996002 2013984 2020644 2069928 2152008 2178576 2205472 2211786 2231712 2239092 2265732 2293704 2301289 2328669 2357418 2450898 2481156 2510676 2541672 2550077 2580417 2589408 2612274 2661336 2694192 2759904 2859381 2869344 2894682 2949048 2985456 2994003 3020976 3030966 3058272 3104892 3143224 3267864 3308208 3317679 3347568 3358638 3388896 3398598 3440556 3483032 3536127 3548448 3676347 3721734 3766014 3812508 3859576 3884112 3918411 3932064 3992004 4041288 4139856 4304016 4342023 4357152 4423572 4478184 4531464 4546449 4587408 4602578 4657338 4714836 4901796 4962312 5021352 5037957 5083344 5100154 5160834 5224548 5322672 5388384 5582601 5718762 5789364 5898096 5970912 5988006 6041952 6061932 6209784 6286448 6535728 6616416 6635358 6695136 6717276 6797196 6881112 6903867 6966064 6986007 7072254 7352694 7443468 7532028 7625016 7650231 7719152 7741251 7768224 7836822 7984008 8082576 8279712 8578143 8608032 8684046 8847144 8956368 8982009 9062928 9092898 9174816 9205156 9314676 9429672 9803592 9924624 9953037 10042704 10075914 10166688 10200308 10321668 10449096 10608381 10645344 11029041 11165202 11437524 11578728 11755233 11796192 11976012 12123864 12419568 12572896 13026069 13071456 13270716 13434552 13594392 13639347 13762224 13807734 13932128 13972014 14144508 14705388 14886936 15064056 15113871 15250032 15300462 15438304 15482502 15673644 15968016 16109023 16165152 16747803 17156286 17368092 17694288 17850539 17912736 17964018 18125856 18185796 18410312 18629352 18859344 19607184 19849248 19906074 20085408 20151828 20400616 20643336 20711601 20898192 20958021 21216762 22058082 22330404 22875048 22950693 23157456 23223753 23510466 23952024 24247728 24839136 25734429 26052138 26541432 26869104 27188784 27278694 27524448 27615468 27944028 28289016 29410776 29773872 30128112 30227742 30500064 30600924 30965004 31347288 31825143 31936032 32218046 33495606 34312572 34736184 35265699 35388576 35701078 35928036 36371592 36820624 37258704 37718688 39078207 39214368 39812148 40303656 40801232 40918041 41286672 41423202 41796384 41916042 42433524 44116164 44660808 45341613 45750096 45901386 46314912 46447506 47020932 47904048 48327069 48495456 50243409 51468858 52104276 53082864 53551617 53738208 54377568 54557388 55230936 55888056 56578032 58821552 59547744 60256224 60455484 61201848 61930008 62134803 62694576 62874063 63650286 64436092 66991212 68625144 68852079 69472368 69671259 70531398 71402156 71856072 72743184 73641248 74517408 77203287 78156414 79624296 80607312 81602464 81836082 82573344 82846404 83832084 84867048 88232328 89321616 90683226 91500192 91802772 92895012 94041864 94352849 95475429 95808096 96654138 100486818 102937716 104208552 105797097 106165728 107103234 109114776 110461872 111776112 113156064 117234621 117643104 120910968 122403696 122754123 123860016 124269606 125389152 125748126 127300572 128872184 133982424 136024839 137250288 137704158 138944736 139342518 141062796 142804312 143712144 144981207 145486368 150730227 154406574 156312828 159248592 160654851 161214624 163672164 165692808 167664168 169734096 176464656 178643232 181366452 183605544 185790024 186404409 188083728 188705698 190950858 193308276 200973636 205875432 206556237 208417104 211594194 214206468 218229552 220923744 223552224 234469242 241821936 244807392 245508246 247720032 248539212 251496252 254601144 257744368 267964848 272049678 274500576 275408316 278685036 282125592 283058547 285608624 286426287 287424288 289962414 301460454 308813148 312625656 317391291 318497184 321309702 327344328 331385616 335328336 339468192 351703863 352929312 362732904 367211088 368262369 371580048 372808818 376167456 377411396 381901716 386616552 401947272 408074517 411750864 413112474 416834208 423188388 428412936 434943621 436459104 452190681 468938484 481964553 483643872 491016492 497078424 502992504 509202288 515488736 535929696 544099356 550816632 557370072 559213227 564251184 566117094 571217248 572852574 579924828 602920908 617626296 619668711 625251312 634782582 642619404 654688656 660469943 662771232 670656672 703407726 725465808 734422176 736524738 743160096 745617636 754822792 763803432 773233104 803894544 816149034 823501728 826224948 846376776 849175641 856825872 859278861 869887242 904381362 937876968 952173873 963929106 982032984 994156848 1005985008 1018404576 1055111589 1088198712 1101633264 1114740144 1118426454 1128502368 1132234188 1145705148 1159849656 1205841816 1235252592 1239337422 1250502624 1269565164 1285238808 1304830863 1309377312 1320939886 1406815452 1445893659 1450931616 1473049476 1491235272 1509645584 1527606864 1546466208 1607789088 1632298068 1652449896 1677639681 1692753552 1698351282 1713651744 1718557722 1739774484 1808762724 1859006133 1875753936 1904347746 1927858212 1964065968 1981409829 1988313696 2011970016 2110223178 2176397424 2203266528 2229480288 2236852908 2264468376 2291410296 2319699312 2411683632 2470505184 2478674844 2539130328 2547526923 2570477616 2577836583 2609661726 2641879772 2813630904 2856521619 2891787318 2946098952 2982470544 3019291168 3055213728 3165334767 3264596136 3304899792 3355279362 3385507104 3396702564 3437115444 3479548968 3617525448 3718012266 3751507872 3808695492 3855716424 3914492589 3928131936 3962819658 4220446356 4337680977 4352794848 4473705816 4528936752 4582820592 4639398624 4823367264 4957349688 5032919043 5078260656 5095053846 5140955232 5155673166 5219323452 5283759544 5577018399 5627261808 5713043238 5783574636 5892197904 5944229487 5964941088 6330669534 6529192272 6609799584 6710558724 6793405128 6874230888 6959097936 7235050896 7436024532 7617390984 7642580769 7711432848 7828985178 7925639316 8440892712 8675361954 8947411632 9057873504 9165641184 9914699376 10065838086 10156521312 10190107692 10311346332 10438646904 10567519088 11154036798 11254523616 11426086476 11567149272 11743477767 11784395808 11888458974 12661339068 13013042931 13058384544 13421117448 13586810256 13748461776 13918195872 14470101792 14872049064 15098757129 15234781968 15285161538 15422865696 15657970356 15851278632 16731055197 16881785424 17350723908 17832688461 17894823264 19829398752 20131676172 20380215384 20622692664 20877293808 21135038176 22308073596 22852172952 22927742307 23134298544 23486955534 23776917948 25322678136 26026085862 26842234896 27173620512 27496923552 29744098128 30197514258 30469563936 30570323076 31315940712 31702557264 33462110394 33763570848 34701447816 35230433301 35665376922 39039128793 40263352344 40760430768 41245385328 41754587616 44616147192 45704345904 45855484614 46268597088 46973911068 47553835896 50645356272 52052171724 53498065383 53684469792 59488196256 60395028516 61140646152 62631881424 63405114528 66924220788 68783226921 69402895632 70460866602 71330753844 78078257586 80526704688 81520861536 82490770656 89232294384 91408691808 91710969228 93947822136 95107671792 101290712544 104104343448 105691299903 106996130766 117117386379 120790057032 122281292304 125263762848 133848441576 137566453842 138805791264 140921733204 142661507688 156156515172 160494196149 161053409376 178464588768 183421938456 187895644272 190215343584 206349680763 208208686896 211382599806 213992261532 234234772758 241580114064 244562584608 267696883152 275132907684 281843466408 285323015376 312313030344 320988392298 366843876912 375791288544 412699361526 416417373792 422765199612 427984523064 468469545516 481482588447 483160228128 535393766304 550265815368 563686932816 570646030752 619049042289 624626060688 641976784596 733687753824 825398723052 845530399224 855969046128 936939091032 962965176894 1100531630736 1127373865632 1238098084578 1249252121376 1283953569192 1444447765341 1650797446104 1691060798448 1711938092256 1873878182064 1925930353788 2201063261472 2476196169156 2567907138384 2888895530682 3301594892208 3382121596896 3747756364128 3851860707576 4333343296023 4952392338312 5135814276768 5777791061364 6603189784416 7703721415152 8666686592046 9904784676624 11555582122728 15407442830304 17333373184092 19809569353248 23111164245456 34666746368184 46222328490912 69333492736368 138666985472736
- Sum of all divisors σ(n): 492991177809312
- Sum of proper divisors (its aliquot sum) s(n): 354324192336576
- 138666985472736 is an abundant number, because the sum of its proper divisors (354324192336576) is greater than itself. Its abundance is 215657206863840
Bases of 138666985472736
- Binary: 111111000011101111011000110100101000010111000002
- Hexadecimal: 0x7E1DEC6942E0
- Base-36: 1D5IQEVI00
Squares and roots of 138666985472736
- 138666985472736 squared (1386669854727362) is 19228532860095976865399325696
- 138666985472736 cubed (1386669854727363) is 2666362686772955632705007034738762192224256
-
The
square root of 138666985472736 is 11775694.6917256649 -
The
cube root of 138666985472736 is 51759.6135108505
Scales and comparisons
How big is 138666985472736?- 138,666,985,472,736 seconds is equal to 4,409,181 years, 11 weeks, 11 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,666,985,472,736 would take you about eleven million, twenty-two thousand, nine hundred fifty-three 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 138666985472736 cubic inches would be around 4313.3 feet tall.
Recreational maths with 138666985472736
- 138666985472736 backwards is 637274589666831
- 138666985472736 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138666985472736's digits is 81
- More coming soon!
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Numbermatics. (2024). Number 138666985472736 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138666985472736/
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The information we have on file for 138666985472736 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 138666985472736, math, Factors of 138666985472736, curriculum, school, college, exams, university, Prime factorization of 138666985472736, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred sixty-six billion, nine hundred eighty-five million, four hundred seventy-two thousand, seven hundred thirty-six.