138016102839084288
138,016,102,839,084,288 is an even composite number composed of seven prime numbers multiplied together.
138016102839084288 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 138016102839084288:
28 × 32 × 72 × 13 × 61 × 9412 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 61 × 941 × 941 × 1741)See below for interesting mathematical facts about the number 138016102839084288 from the Numbermatics database.
Names of 138016102839084288
- Cardinal: 138016102839084288 can be written as One hundred thirty-eight quadrillion, sixteen trillion, one hundred two billion, eight hundred thirty-nine million, eighty-four thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38016102839084288 × 1017
Factors of 138016102839084288
Divisors of 138016102839084288
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 61 63 64 72 78 84 91 96 98 104 112 117 122 126 128 144 147 156 168 182 183 192 196 208 224 234 244 252 256 273 288 294 312 336 364 366 384 392 416 427 441 448 468 488 504 546 549 576 588 624 637 672 728 732 768 784 793 819 832 854 882 896 936 941 976 1008 1092 1098 1152 1176 1248 1274 1281 1344 1456 1464 1568 1586 1638 1664 1708 1741 1764 1792 1872 1882 1911 1952 2016 2184 2196 2304 2352 2379 2496 2548 2562 2688 2823 2912 2928 2989 3136 3172 3276 3328 3416 3482 3528 3744 3764 3822 3843 3904 4032 4368 4392 4704 4758 4992 5096 5124 5223 5376 5551 5646 5733 5824 5856 5978 6272 6344 6552 6587 6832 6964 7056 7137 7488 7528 7644 7686 7808 8064 8469 8736 8784 8967 9408 9516 9984 10192 10248 10446 11102 11292 11466 11648 11712 11956 12187 12233 12544 12688 13104 13174 13664 13928 14112 14274 14976 15056 15288 15372 15616 15669 16128 16653 16938 17472 17568 17934 18816 19032 19761 20384 20496 20892 22204 22584 22633 22932 23296 23424 23912 24374 24466 25376 26208 26348 26901 27328 27856 28224 28548 29952 30112 30576 30744 31338 33306 33876 34944 35136 35868 36561 36699 37632 38064 38857 39522 40768 40992 41784 44408 45168 45266 45864 46109 46848 47824 48748 48932 49959 50752 52416 52696 53802 54656 55712 56448 57096 57401 59283 60224 61152 61488 62676 66612 67752 67899 69888 70272 71736 73122 73398 76128 77714 79044 81536 81984 83568 85309 85631 88816 90336 90532 91728 92218 95648 97496 97864 99918 101504 104832 105392 106201 107604 109312 109683 110097 111424 112896 114192 114802 116571 118566 120448 122304 122976 125352 133224 135504 135798 138327 140544 143472 146244 146796 152256 155428 158088 158431 163072 163968 167136 170618 171262 172203 177632 180672 181064 183456 184436 191296 194992 195728 199836 203008 203697 209664 210784 212402 215208 219366 220194 222848 228384 229604 233142 237132 240896 244608 245952 250704 255927 256893 266448 271008 271596 276654 286944 292488 293592 304512 310856 316176 316862 318603 327936 334272 341236 342524 344406 349713 355264 361344 362128 366912 368872 382592 389984 391456 399672 401807 407394 414981 421568 424804 430416 438732 440388 445696 456768 459208 466284 474264 475293 489216 491904 501408 511854 513786 516609 532896 542016 543192 553308 573888 584976 587184 599417 609024 621712 632352 633724 637206 668544 682472 685048 688812 699426 710528 722688 724256 733824 737744 743407 746213 765184 767781 770679 779968 782912 799344 803614 814788 829962 843136 849608 860832 877464 880776 885481 913536 918416 932568 948528 950586 955809 983808 1002816 1023708 1027572 1033218 1065792 1084032 1086384 1106616 1109017 1147776 1169952 1174368 1198834 1205421 1243424 1264704 1267448 1274412 1337088 1364944 1370096 1377624 1380613 1398852 1421056 1425879 1448512 1467648 1475488 1486814 1492426 1535562 1541358 1559936 1565824 1598688 1607228 1629576 1638281 1659924 1686272 1699216 1721664 1754928 1761552 1770962 1798251 1827072 1836832 1865136 1897056 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4489204489952 4513870448688 4583425306824 4607909416369 4834527912256 4890026319412 4954627471248 5050355051196 5130519417088 5238200350656 5266182190136 5438843901288 5641138839168 5662431395712 5771834344224 5892080893062 5924454963903 6018493931584 6098003041536 6111233742432 6215821601472 6606169961664 6733806734928 6770805673032 6984267134208 7251791868384 7335039479118 7695779125632 7856107857416 7899273285204 8148311656576 8287762135296 8557546058971 8808226615552 8838121339593 8978408979904 9027740897376 9166850613648 9215818832738 9669055824512 9780052638824 9909254942496 10100710102392 10476400701312 10532364380272 10877687802576 11002559218677 11282277678336 11324862791424 11543668688448 11784161786124 11848909927806 12036987863168 12222467484864 12431643202944 13212339923328 13467613469856 13541611346064 13823728249107 14503583736768 14670078958236 15391558251264 15712215714832 15798546570408 16296623313152 17115092117942 17676242679186 17956817959808 18055481794752 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102690552707652 107740907758848 108332890768512 110589825992856 117360631665888 119805644825594 125697725718656 126388372563264 136920736943536 141409941433488 146669609818368 147453101323808 154035829061478 156480842221184 161611361638272 165884738989284 168517830084352 174043004841216 176040947498832 179708467238391 188546588577984 189582558844896 205381105415304 216665781537024 221179651985712 234721263331776 239611289651188 251395451437312 252776745126528 273841473887072 282819882866976 294906202647616 308071658122956 312961684442368 323222723276544 331769477978568 352081894997664 359416934476782 377093177155968 379165117689792 410762210830608 442359303971424 469442526663552 479222579302376 505553490253056 539125401715173 547682947774144 565639765733952 589812405295232 616143316245912 663538955957136 704163789995328 718833868953564 754186354311936 758330235379584 821524421661216 884718607942848 938885053327104 958445158604752 1078250803430346 1095365895548288 1131279531467904 1179624810590464 1232286632491824 1327077911914272 1408327579990656 1437667737907128 1516660470759168 1643048843322432 1769437215885696 1916890317209504 2156501606860692 2190731791096576 2262559062935808 2464573264983648 2654155823828544 2816655159981312 2875335475814256 3286097686644864 3538874431771392 3833780634419008 4313003213721384 4929146529967296 5308311647657088 5750670951628512 6572195373289728 7667561268838016 8626006427442768 9858293059934592 10616623295314176 11501341903257024 15335122537676032 17252012854885536 19716586119869184 23002683806514048 34504025709771072 46005367613028096 69008051419542144 138016102839084288
- Sum of all divisors σ(n): 507513968641476888
- Sum of proper divisors (its aliquot sum) s(n): 369497865802392600
- 138016102839084288 is an abundant number, because the sum of its proper divisors (369497865802392600) is greater than itself. Its abundance is 231481762963308312
Bases of 138016102839084288
- Binary: 1111010100101010011101010000011110000000111100101000000002
- Hexadecimal: 0x1EA54EA0F01E500
- Base-36: 11QYMICG7R40
Squares and roots of 138016102839084288
- 138016102839084288 squared (1380161028390842882) is 19048444642888690062473194368466944
- 138016102839084288 cubed (1380161028390842883) is 2628992094757529632994357530547155142482983357775872
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The
square root of 138016102839084288 is 371505185.4807470759 -
The
cube root of 138016102839084288 is 516785.0244121837
Scales and comparisons
How big is 138016102839084288?- 138,016,102,839,084,288 seconds is equal to 4,388,485,158 years, 23 weeks, 1 day, 14 hours, 4 minutes, 48 seconds.
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To count from 1 to 138,016,102,839,084,288 would take you about thirteen billion, one hundred sixty-five million, four hundred fifty-five thousand, four hundred seventy-five 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 138016102839084288 cubic inches would be around 43065.4 feet tall.
Recreational maths with 138016102839084288
- 138016102839084288 backwards is 882480938201610831
- 138016102839084288 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138016102839084288's digits is 72
- More coming soon!
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The information we have on file for 138016102839084288 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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