3400438822144
3,400,438,822,144 is an even composite number composed of five prime numbers multiplied together.
3400438822144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 3400438822144:
28 × 73 × 132 × 43 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 43 × 73 × 73)See below for interesting mathematical facts about the number 3400438822144 from the Numbermatics database.
Names of 3400438822144
- Cardinal: 3400438822144 can be written as Three trillion, four hundred billion, four hundred thirty-eight million, eight hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.400438822144 × 1012
Factors of 3400438822144
Divisors of 3400438822144
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 43 49 52 56 64 73 86 91 98 104 112 128 146 169 172 182 196 208 224 256 292 301 338 343 344 364 392 416 448 511 559 584 602 637 676 686 688 728 784 832 896 949 1022 1118 1168 1183 1204 1274 1352 1372 1376 1456 1568 1664 1792 1898 2044 2107 2236 2336 2366 2408 2548 2704 2744 2752 2912 3136 3139 3328 3577 3796 3913 4088 4214 4459 4472 4672 4732 4816 5096 5329 5408 5488 5504 5824 6272 6278 6643 7154 7267 7592 7826 8176 8281 8428 8918 8944 9344 9464 9632 10192 10658 10816 10976 11008 11648 12337 12544 12556 13286 14308 14534 14749 15184 15652 16352 16562 16856 17836 17888 18688 18928 19264 20384 21316 21632 21952 21973 23296 24674 25039 25112 26572 27391 28616 29068 29498 30368 31304 32704 33124 33712 35672 35776 37303 37856 38528 40768 40807 42632 43264 43904 43946 46501 49348 50078 50224 50869 53144 54782 57232 57967 58136 58996 60736 62608 65408 66248 67424 69277 71344 71552 74606 75712 77056 81536 81614 85264 86359 87808 87892 93002 98696 100156 100448 101738 106288 109564 114464 115934 116272 117992 121472 125216 130816 132496 134848 138554 142688 143104 149212 151424 153811 163072 163228 170528 172718 175784 186004 191737 197392 200312 200896 203476 212576 219128 228928 229147 231868 232544 235984 242944 250432 261121 264992 269696 277108 285376 285649 298424 302848 307622 325507 326456 341056 345436 351568 356083 372008 383474 394784 400624 401792 406952 425152 438256 457856 458294 463736 465088 471968 484939 500864 522242 529984 530491 539392 554216 570752 571298 596848 604513 615244 651014 652912 682112 690872 703136 712166 744016 766948 789568 801248 803584 813904 850304 876512 900601 915712 916588 927472 930176 943936 969878 1001728 1044484 1059968 1060982 1076677 1108432 1141504 1142596 1193696 1209026 1230488 1302028 1305824 1364224 1381744 1406272 1424332 1488032 1533896 1579136 1602496 1604029 1627808 1700608 1753024 1801202 1827847 1833176 1854944 1860352 1887872 1939756 1999543 2088968 2119936 2121964 2153354 2216864 2285192 2387392 2418052 2460976 2492581 2604056 2611648 2763488 2812544 2848664 2976064 2978911 3067792 3158272 3204992 3208058 3255616 3394573 3506048 3602404 3655694 3666352 3709888 3713437 3775744 3879512 3999086 4177936 4231591 4243928 4306708 4433728 4570384 4774784 4836104 4921952 4985162 5208112 5223296 5526976 5625088 5697328 5952128 5957822 6135584 6304207 6409984 6416116 6511232 6789146 7012096 7204808 7311388 7332704 7419776 7426874 7759024 7998172 8355872 8463182 8487856 8613416 8867456 9140768 9549568 9672208 9843904 9970324 10416224 10446592 11053952 11228203 11394656 11904256 11915644 12271168 12608414 12832232 13022464 13578292 13996801 14409616 14622776 14665408 14839552 14853748 15518048 15996344 16711744 16926364 16975712 17226832 17734912 18281536 19344416 19687808 19940648 20832448 20852377 22107904 22456406 22789312 23762011 23831288 24542336 25216828 25664464 25994059 27156584 27993602 28819232 29245552 29330816 29707496 31036096 31992688 33423488 33852728 33951424 34453664 36563072 38688832 38725843 39375616 39881296 41664896 41704754 44129449 44912812 45578624 47524022 47662576 49084672 50433656 51328928 51988118 54313168 55987204 57638464 58491104 58661632 59414992 62072192 63985376 66846976 67705456 67902848 68907328 73126144 77377664 77451686 78597421 79762592 83329792 83409508 88258898 89825624 91157248 95048044 95325152 100867312 102657856 103976236 108626336 111974408 115276928 116982208 118829984 124144384 127970752 135410912 135805696 137814656 145966639 154755328 154903372 157194842 159525184 166819016 176517796 179651248 181958413 190096088 190650304 201734624 205315712 207952472 217252672 223948816 230553856 233964416 237659968 255941504 270821824 271080901 275629312 291933278 308906143 309806744 314389684 319050368 333638032 353035592 359302496 363916826 380192176 381300608 403469248 410631424 415904944 434505344 447897632 467928832 475319936 511883008 541643648 542161802 583866556 617812286 619613488 628779368 638100736 667276064 706071184 718604992 727833652 760384352 762601216 806938496 831809888 869010688 895795264 950639872 1021766473 1083287296 1084323604 1167733112 1235624572 1239226976 1257558736 1334552128 1412142368 1437209984 1455667304 1520768704 1613876992 1663619776 1791590528 1897566307 2043532946 2168647208 2335466224 2471249144 2478453952 2515117472 2669104256 2824284736 2874419968 2911334608 3041537408 3327239552 3583181056 3795132614 4087065892 4337294416 4670932448 4942498288 4956907904 5030234944 5338208512 5648569472 5822669216 6083074816 6654479104 7590265228 8174131784 8674588832 9341864896 9884996576 9913815808 10060469888 11297138944 11645338432 13282964149 15180530456 16348263568 17349177664 18683729792 19769993152 20120939776 23290676864 26565928298 30361060912 32696527136 34698355328 37367459584 39539986304 46581353728 53131856596 60722121824 65393054272 69396710656 79079972608 106263713192 121444243648 130786108544 212527426384 242888487296 261572217088 425054852768 485776974592 850109705536 1700219411072 3400438822144
- Sum of all divisors σ(n): 8892413006400
- Sum of proper divisors (its aliquot sum) s(n): 5491974184256
- 3400438822144 is an abundant number, because the sum of its proper divisors (5491974184256) is greater than itself. Its abundance is 2091535362112
Bases of 3400438822144
- Binary: 1100010111101110011111001010110101000000002
- Hexadecimal: 0x317B9F2B500
- Base-36: 17E51H7GG
Squares and roots of 3400438822144
- 3400438822144 squared (34004388221442) is 11562984183144074064756736
- 3400438822144 cubed (34004388221443) is 39319220316200137191414893745729961984
-
The
square root of 3400438822144 is 1844027.8799801267 -
The
cube root of 3400438822144 is 15037.5928503837
Scales and comparisons
How big is 3400438822144?- 3,400,438,822,144 seconds is equal to 108,123 years, 22 weeks, 4 days, 19 hours, 29 minutes, 4 seconds.
-
To count from 1 to 3,400,438,822,144 would take you about two hundred seventy thousand, three hundred eight 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 3400438822144 cubic inches would be around 1253.1 feet tall.
Recreational maths with 3400438822144
- 3400438822144 backwards is 4412288340043
- 3400438822144 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3400438822144's digits is 43
- More coming soon!
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The information we have on file for 3400438822144 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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