138322966217269248
138,322,966,217,269,248 is an even composite number composed of five prime numbers multiplied together.
What does the number 138322966217269248 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
138322966217269248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138322966217269248:
213 × 33 × 312 × 47 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 31 × 31 × 47 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138322966217269248 from the Numbermatics database.
Names of 138322966217269248
- Cardinal: 138322966217269248 can be written as One hundred thirty-eight quadrillion, three hundred twenty-two trillion, nine hundred sixty-six billion, two hundred seventeen million, two hundred sixty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.38322966217269248 × 1017
Factors of 138322966217269248
Divisors of 138322966217269248
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 61 62 64 72 93 94 96 108 122 124 128 141 144 183 186 188 192 216 244 248 256 279 282 288 366 372 376 384 423 432 488 496 512 549 558 564 576 732 744 752 768 837 846 864 961 976 992 1024 1098 1116 1128 1152 1269 1457 1464 1488 1504 1536 1647 1674 1692 1728 1891 1922 1952 1984 2048 2196 2232 2256 2304 2538 2867 2883 2914 2928 2976 3008 3072 3294 3348 3384 3456 3721 3782 3844 3904 3968 4096 4371 4392 4464 4512 4608 5076 5673 5734 5766 5828 5856 5952 6016 6144 6588 6696 6768 6912 7442 7564 7688 7808 7936 8192 8601 8649 8742 8784 8928 9024 9216 10152 11163 11346 11468 11532 11656 11712 11904 12032 12288 13113 13176 13392 13536 13824 14884 15128 15376 15616 15872 17019 17202 17298 17484 17568 17856 18048 18432 20304 22326 22692 22936 23064 23312 23424 23808 24064 24576 25803 25947 26226 26352 26784 27072 27648 29768 30256 30752 31232 31744 33489 34038 34404 34596 34968 35136 35712 36096 36864 39339 40608 44652 45167 45384 45872 46128 46624 46848 47616 48128 51057 51606 51894 52452 52704 53568 54144 55296 58621 59536 60512 61504 62464 63488 66978 68076 68808 69192 69936 70272 71424 72192 73728 77409 78678 81216 88877 89304 90334 90768 91744 92256 93248 93696 95232 96256 100467 102114 103212 103788 104904 105408 107136 108288 110592 115351 117242 119072 121024 123008 124928 126976 133956 135501 136152 137616 138384 139872 140544 142848 144384 154818 157356 162432 174887 175863 177754 178608 180668 181536 183488 184512 186496 187392 190464 192512 200934 204228 206424 207576 209808 210816 214272 216576 221184 226981 230702 234484 238144 242048 246016 249856 253952 266631 267912 271002 272304 275232 276768 279744 281088 285696 288768 309636 314712 324864 346053 349774 351726 355508 357216 361336 363072 366976 369024 372992 374784 380928 385024 401868 406503 408456 412848 415152 419616 421632 428544 433152 453962 461404 468968 476288 484096 492032 499712 524661 527589 533262 535824 542004 544608 550464 553536 559488 562176 571392 577536 619272 629424 649728 680943 692106 699548 703452 711016 714432 722672 726144 733952 738048 745984 749568 761856 799893 803736 813006 816912 825696 830304 839232 843264 857088 866304 907924 922808 937936 952576 968192 984064 1038159 1049322 1055178 1066524 1071648 1084008 1089216 1100928 1107072 1118976 1124352 1142784 1155072 1219509 1238544 1258848 1299456 1361886 1384212 1399096 1406904 1422032 1428864 1445344 1452288 1467904 1476096 1491968 1499136 1573983 1582767 1599786 1607472 1626012 1633824 1651392 1660608 1678464 1686528 1714176 1732608 1815848 1845616 1875872 1905152 1936384 1968128 2042829 2076318 2098644 2110356 2133048 2143296 2168016 2178432 2201856 2214144 2237952 2248704 2285568 2399679 2439018 2477088 2517696 2598912 2723772 2755187 2768424 2798192 2813808 2844064 2857728 2890688 2904576 2935808 2952192 2983936 3114477 3147966 3165534 3199572 3214944 3252024 3267648 3302784 3321216 3356928 3373056 3428352 3465216 3575881 3631696 3691232 3751744 3810304 3872768 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1005137238528 1015945165824 1020826165248 1032600004608 1089363078198 1107221489316 1124503822656 1142938311552 1161675005184 1179807289344 1199148392448 1250750200894 1277361907296 1291096981568 1312262505856 1318567130112 1332745271296 1340182984704 1354593554432 1376800006144 1437032145708 1452484104264 1476295319088 1483388021376 1499338430208 1507705857792 1523917748736 1531239247872 1548900006912 1556341530624 1703149209728 1758089506816 1786910646272 1876125301341 1916042860944 1936645472352 1968393758784 1977850695168 1999117906944 2010274477056 2031890331648 2065200009216 2178726156396 2214442978632 2249007645312 2285876623104 2323350010368 2359614578688 2501500401788 2554723814592 2582193963136 2624525011712 2637134260224 2665490542592 2680365969408 2709187108864 2874064291416 2904968208528 2952590638176 2966776042752 2998676860416 3015411715584 3047835497472 3062478495744 3097800013824 3406298419456 3516179013632 3752250602682 3832085721888 3873290944704 3936787517568 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180108028928736 183940114650624 185917965345792 188965800843264 240144038571648 245253486200832 247890620461056 251954401124352 270162043393104 278876948018688 283448701264896 320192051428864 327004648267776 360216057857472 367880229301248 371835930691584 377931601686528 480288077143296 490506972401664 495781240922112 540324086786208 557753896037376 566897402529792 640384102857728 720432115714944 735760458602496 743671861383168 755863203373056 960576154286592 981013944803328 1080648173572416 1115507792074752 1133794805059584 1280768205715456 1440864231429888 1471520917204992 1487343722766336 1921152308573184 2161296347144832 2231015584149504 2267589610119168 2561536411430912 2881728462859776 2943041834409984 3842304617146368 4322592694289664 4462031168299008 5123072822861824 5763456925719552 7684609234292736 8645185388579328 11526913851439104 15369218468585472 17290370777158656 23053827702878208 34580741554317312 46107655405756416 69161483108634624 138322966217269248
- Sum of all divisors σ(n): 439685185107830400
- Sum of proper divisors (its aliquot sum) s(n): 301362218890561152
- 138322966217269248 is an abundant number, because the sum of its proper divisors (301362218890561152) is greater than itself. Its abundance is 163039252673291904
Bases of 138322966217269248
- Binary: 1111010110110110000000001010000011010100010100000000000002
- Hexadecimal: 0x1EB6C0141A8A000
- Base-36: 11TZEDFOLXC0
Squares and roots of 138322966217269248
- 138322966217269248 squared (1383229662172692482) is 19133242983143809655105062126485504
- 138322966217269248 cubed (1383229662172692483) is 2646566922784205070782501434569558278499650336980992
-
The
square root of 138322966217269248 is 371917956.2985219029 -
The
cube root of 138322966217269248 is 517167.7454860483
Scales and comparisons
How big is 138322966217269248?- 138,322,966,217,269,248 seconds is equal to 4,398,242,464 years, 35 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,322,966,217,269,248 would take you about thirteen billion, one hundred ninety-four million, seven hundred twenty-seven thousand, three hundred ninety-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 138322966217269248 cubic inches would be around 43097.3 feet tall.
Recreational maths with 138322966217269248
- 138322966217269248 backwards is 842962712669223831
- The number of decimal digits it has is: 18
- The sum of 138322966217269248's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 138322966217269248 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 138322966217269248 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/138322966217269248/
Chicago style:
Numbermatics. 2024. "Number 138322966217269248 - Facts about the integer". https://numbermatics.com/n/138322966217269248/
The information we have on file for 138322966217269248 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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