138223945168848
138,223,945,168,848 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138223945168848 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138223945168848 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138223945168848:
24 × 33 × 7 × 112 × 67 × 2089 × 2699
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 67 × 2089 × 2699)See below for interesting mathematical facts about the number 138223945168848 from the Numbermatics database.
Names of 138223945168848
- Cardinal: 138223945168848 can be written as One hundred thirty-eight trillion, two hundred twenty-three billion, nine hundred forty-five million, one hundred sixty-eight thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38223945168848 × 1014
Factors of 138223945168848
Divisors of 138223945168848
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 67 72 77 84 88 99 108 112 121 126 132 134 144 154 168 176 189 198 201 216 231 242 252 264 268 297 308 336 363 378 396 402 432 462 469 484 504 528 536 594 603 616 693 726 737 756 792 804 847 924 938 968 1008 1072 1089 1188 1206 1232 1386 1407 1452 1474 1512 1584 1608 1694 1809 1848 1876 1936 2079 2089 2178 2211 2376 2412 2541 2699 2772 2814 2904 2948 3024 3216 3267 3388 3618 3696 3752 4158 4178 4221 4356 4422 4752 4824 5082 5159 5398 5544 5628 5808 5896 6267 6534 6633 6776 7236 7504 7623 8097 8107 8316 8356 8442 8712 8844 9648 10164 10318 10796 11088 11256 11792 12534 12663 13068 13266 13552 14472 14623 15246 15477 16194 16214 16632 16712 16884 17424 17688 18801 18893 19899 20328 20636 21592 22512 22869 22979 24291 24321 25068 25326 26136 26532 28944 29246 29689 30492 30954 32388 32428 33264 33424 33768 35376 37602 37786 39798 40656 41272 43184 43869 45738 45958 46431 48582 48642 50136 50652 52272 53064 56403 56679 56749 58492 59378 60984 61908 64776 64856 67536 68937 72873 72963 75204 75572 79596 82544 87738 89067 91476 91916 92862 97164 97284 100272 101304 106128 112806 113358 113498 116984 118756 121968 123816 129552 129712 131607 137874 139293 139963 145746 145926 150408 151144 159192 160853 170037 170247 175476 178134 180833 182952 183832 185724 194328 194568 202608 206811 207823 218889 225612 226716 226996 233968 237512 247632 252769 263214 267201 275748 278586 279926 291492 291852 300816 302288 318384 321706 326579 340074 340494 350952 356268 361666 365904 367664 371448 388656 389136 394821 413622 415646 419889 437778 451224 453432 453992 475024 482559 505538 510111 510741 526428 534402 542499 551496 557172 559852 582984 583704 620433 623469 643412 653158 680148 680988 701904 712536 723332 742896 758307 789642 801603 827244 831292 839778 875556 902448 906864 907984 965118 979737 979741 1011076 1020222 1021482 1052856 1068804 1084998 1102992 1114344 1119704 1165968 1167408 1240866 1246938 1259667 1265831 1286824 1306316 1360296 1361976 1425072 1446664 1447677 1516614 1532223 1539593 1579284 1603206 1627497 1654488 1662584 1679556 1751112 1769383 1870407 1930236 1959474 1959482 1989163 2022152 2040444 2042964 2105712 2137608 2169996 2228688 2239408 2274921 2286053 2481732 2493876 2519334 2531662 2573648 2612632 2720592 2723952 2893328 2895354 2939211 2939223 3033228 3064446 3079186 3158568 3206412 3254994 3308976 3325168 3359112 3502224 3538766 3740814 3779001 3797493 3860472 3918948 3918964 3978326 4044304 4080888 4085928 4275216 4339992 4343031 4549842 4572106 4618779 4882491 4963464 4987752 5038668 5063324 5225264 5308149 5611221 5638211 5790708 5878422 5878446 5967489 6066456 6128892 6158372 6317136 6412824 6509988 6718224 6824763 6858159 7077532 7481628 7558002 7594986 7720944 7837896 7837928 7956652 8161776 8171856 8679984 8686062 8817633 8817669 9099684 9144212 9237558 9764982 9926928 9975504 10077336 10126648 10616298 10777151 11222442 11276422 11392479 11581416 11756844 11756892 11934978 12132912 12257784 12316744 12825648 13019976 13649526 13716318 13856337 13924141 14155064 14963256 15116004 15189972 15675792 15675856 15913304 15924447 16914633 16935523 17372124 17635266 17635338 17902467 18199368 18288424 18475116 19529964 20154672 20253296 20574477 21232596 21554302 21880793 22444884 22552844 22784958 23162832 23513688 23513784 23869956 24515568 24633488 26039952 26453007 27299052 27432636 27712674 27848282 28310128 29926512 30232008 30379944 31826608 31848894 32331453 33829266 33871046 34177437 34744248 35270532 35270676 35804934 36398736 36576848 36950232 39059928 39467477 41148954 41569011 41772423 42465192 43108604 43761586 44889768 45105688 45569916 47027376 47027568 47739912 47773341 50743899 50806569 52906014 53707401 54598104 54865272 55425348 55696564 60464016 60759888 61723431 62020321 63697788 64662906 65642379 67658532 67742092 68354874 69488496 70541064 70541352 71609868 73900464 78119856 78934954 82297908 83138022 83544846 84930384 86217208 87523172 89779536 90211376 91139832 95479824 95546682 96994359 101487798 101613138 105812028 107414802 109196208 109730544 110850696 111393128 118402431 118548661 123446862 124040642 125317269 127395576 129325812 131284758 135317064 135484184 136709748 141082128 141082704 143219736 152231697 152419707 153165551 157869908 164595816 166276044 167089692 172434416 175046344 182279664 186060963 191093364 193988718 196927137 202975596 203226276 211624056 214829604 221701392 222786256 236804862 237097322 246893724 248081284 250634538 254791152 258651624 262569516 270634128 270968368 273419496 286439472 290983077 304463394 304839414 306331102 315739816 329191632 332552088 334179384 350092688 355207293 355645983 372121926 375951807 377760137 382186728 387977436 393854274 405951192 406452552 423248112 429659208 434142247 457259121 459496653 473609724 474194644 493787448 496162568 501269076 517303248 525139032 546838992 558182889 581966154 590781411 608926788 609678828 612662204 631479632 665104176 668358768 682223531 710414586 711291966 744243852 751903614 755520274 764373456 775954872 787708548 811902384 812905104 859318416 868284494 914518242 918993306 947219448 948389288 987574896 992325136 1002538152 1050278064 1065621879 1066937949 1116365778 1133280411 1163932308 1181562822 1217853576 1219357656 1225324408 1302426741 1364447062 1378489959 1420829172 1422583932 1488487704 1503807228 1511040548 1551909744 1575417096 1674548667 1736568988 1829036484 1837986612 1894438896 1896778576 2005076304 2046670593 2131243758 2133875898 2232731556 2266560822 2327864616 2363125644 2435707152 2438715312 2450648816 2604853482 2644320959 2728894124 2756979918 2841658344 2845167864 2976975408 3007614456 3022081096 3150834192 3200813847 3349097334 3399841233 3473137976 3658072968 3675973224 3907280223 4093341186 4135469877 4155361507 4262487516 4267751796 4465463112 4533121644 4655729232 4726251288 4775564717 5209706964 5288641918 5457788248 5513959836 5683316688 5690335728 6015228912 6044162192 6140011779 6401627694 6698194668 6799682466 6946275952 7316145936 7351946448 7814560446 7932962877 8186682372 8270939754 8310723014 8524975032 8535503592 8930926224 9066243288 9452502576 9551129434 10199523699 10419413928 10577283836 10915576496 11027919672 11721840669 12280023558 12466084521 12803255388 13396389336 13599364932 14326694151 15629120892 15865925754 16373364744 16541879508 16621446028 17049950064 17071007184 18132486576 18420035337 19102258868 20399047398 20838827856 21154567672 22055839344 23443681338 23798888631 24560047116 24932169042 25606510776 26792778672 27198729864 28653388302 29087530549 31258241784 31731851508 32746729488 33083759016 33242892056 36840070674 37398253563 38204517736 40798094796 42309135344 42980082453 45708976577 46887362676 47597777262 49120094232 49864338084 51213021552 54397459728 57306776604 58175061098 62516483568 63463703016 66167518032 66485784112 71396665893 73680141348 74796507126 76409035472 81596189592 85960164906 87262591647 91417953154 93774725352 95195554524 98240188464 99728676168 112194760689 114613553208 116350122196 126927406032 128940247359 137126929731 142793331786 147360282696 149593014252 163192379184 171920329812 174525183294 182835906308 187549450704 190391109048 199457352336 224389521378 229227106416 232700244392 257880494718 261787774941 274253859462 285586663572 294720565392 299186028504 319962836039 343840659624 349050366588 365671812616 380782218096 411380789193 448779042756 465400488784 515760989436 523575549882 548507718924 571173327144 598372057008 639925672078 687681319248 698100733176 731343625232 785363324823 822761578386 897558085512 959888508117 1031521978872 1047151099764 1097015437848 1142346654288 1234142367579 1279851344156 1396201466352 1570726649646 1645523156772 1795116171024 1919777016234 2063043957744 2094302199528 2194030875696 2468284735158 2559702688312 2879665524351 3141453299292 3291046313544 3839554032468 4188604399056 4936569470316 5119405376624 5759331048702 6282906598584 6582092627088 7679108064936 8638996573053 9873138940632 11518662097404 12565813197168 15358216129872 17277993146106 19746277881264 23037324194808 34555986292212 46074648389616 69111972584424 138223945168848
- Sum of all divisors σ(n): 506270096640000
- Sum of proper divisors (its aliquot sum) s(n): 368046151471152
- 138223945168848 is an abundant number, because the sum of its proper divisors (368046151471152) is greater than itself. Its abundance is 229822206302304
Bases of 138223945168848
- Binary: 111110110110110110001010010011010110111110100002
- Hexadecimal: 0x7DB6C526B7D0
- Base-36: 1CZV7C47O0
Squares and roots of 138223945168848
- 138223945168848 squared (1382239451688482) is 19105859018040698359229647104
- 138223945168848 cubed (1382239451688483) is 2640887209313397581245884820231912734216192
-
The
square root of 138223945168848 is 11756867.9999755037 -
The
cube root of 138223945168848 is 51704.4308001001
Scales and comparisons
How big is 138223945168848?- 138,223,945,168,848 seconds is equal to 4,395,093 years, 46 weeks, 6 days, 4 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,223,945,168,848 would take you about ten million, nine hundred eighty-seven thousand, seven hundred thirty-four 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 138223945168848 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138223945168848
- 138223945168848 backwards is 848861549322831
- 138223945168848 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138223945168848's digits is 72
- More coming soon!
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The information we have on file for 138223945168848 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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