29984936073408
29,984,936,073,408 is an even composite number composed of five prime numbers multiplied together.
29984936073408 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 29984936073408:
26 × 39 × 17 × 313 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 31 × 31 × 31 × 47)See below for interesting mathematical facts about the number 29984936073408 from the Numbermatics database.
Names of 29984936073408
- Cardinal: 29984936073408 can be written as Twenty-nine trillion, nine hundred eighty-four billion, nine hundred thirty-six million, seventy-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 2.9984936073408 × 1013
Factors of 29984936073408
Divisors of 29984936073408
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 47 48 51 54 62 64 68 72 81 93 94 96 102 108 124 136 141 144 153 162 186 188 192 204 216 243 248 272 279 282 288 306 324 372 376 408 423 432 459 486 496 527 544 558 564 576 612 648 729 744 752 799 816 837 846 864 918 961 972 992 1054 1088 1116 1128 1224 1269 1296 1377 1457 1458 1488 1504 1581 1598 1632 1674 1692 1728 1836 1922 1944 1984 2108 2187 2232 2256 2397 2448 2511 2538 2592 2754 2883 2914 2916 2976 3008 3162 3196 3264 3348 3384 3672 3807 3844 3888 4131 4216 4371 4374 4464 4512 4743 4794 4896 5022 5076 5184 5508 5766 5828 5832 5952 6324 6392 6561 6696 6768 7191 7344 7533 7614 7688 7776 8262 8432 8649 8742 8748 8928 9024 9486 9588 9792 10044 10152 11016 11421 11532 11656 11664 12393 12648 12784 13113 13122 13392 13536 14229 14382 14688 15066 15228 15376 15552 16337 16524 16864 17298 17484 17496 17856 18972 19176 19683 20088 20304 21573 22032 22599 22842 23064 23312 23328 24769 24786 25296 25568 25947 26226 26244 26784 27072 28458 28764 29376 29791 30132 30456 30752 32674 33048 33728 34263 34596 34968 34992 37179 37944 38352 39339 39366 40176 40608 42687 43146 44064 45167 45198 45684 46128 46624 46656 49011 49538 49572 50592 51136 51894 52452 52488 53568 56916 57528 59582 60264 60912 61504 64719 65348 66096 67797 68526 69192 69936 69984 74307 74358 75888 76704 77841 78678 78732 80352 81216 85374 86292 88128 89373 90334 90396 91368 92256 93248 98022 99076 99144 101184 102789 103788 104904 104976 111537 113832 115056 118017 119164 120528 121824 128061 129438 130696 132192 135501 135594 137052 138384 139872 139968 147033 148614 148716 151776 153408 155682 157356 157464 160704 170748 172584 178746 180668 180792 182736 184512 194157 196044 198152 198288 203391 205578 207576 209808 209952 222921 223074 227664 230112 233523 236034 238328 241056 243648 256122 258876 261392 264384 268119 271002 271188 274104 276768 279744 294066 297228 297432 303552 308367 311364 314712 314928 334611 341496 345168 354051 357492 361336 361584 365472 384183 388314 392088 396304 396576 406503 406782 411156 415152 419616 419904 441099 445842 446148 455328 460224 467046 472068 476656 482112 506447 512244 517752 522784 536238 542004 542376 548208 553536 582471 588132 594456 594864 610173 616734 622728 629424 629856 668763 669222 682992 690336 700569 708102 714984 722672 723168 730944 767839 768366 776628 784176 792608 793152 804357 813006 813564 822312 830304 839232 882198 891684 892296 910656 925101 934092 944136 953312 1012894 1024488 1035504 1045568 1062153 1072476 1084008 1084752 1096416 1152549 1164942 1176264 1188912 1189728 1219509 1220346 1233468 1245456 1258848 1259712 1323297 1337526 1338444 1365984 1380672 1400177 1401138 1416204 1429968 1445344 1446336 1519341 1535678 1536732 1553256 1568352 1585216 1608714 1626012 1627128 1644624 1660608 1747413 1764396 1783368 1784592 1850202 1868184 1888272 1906624 2006289 2025788 2048976 2071008 2101707 2124306 2144952 2168016 2169504 2192832 2303517 2305098 2329884 2352528 2377824 2379456 2413071 2439018 2440692 2466936 2490912 2517696 2646594 2675052 2676888 2731968 2800354 2802276 2832408 2859936 2890688 3038682 3071356 3073464 3106512 3136704 3186459 3217428 3252024 3254256 3289248 3457647 3494826 3528792 3566736 3569184 3658527 3700404 3736368 3776544 3969891 4012578 4051576 4097952 4142016 4200531 4203414 4248612 4289904 4336032 4339008 4558023 4607034 4610196 4659768 4705056 4755648 4826142 4878036 4881384 4933872 4981824 5242239 5293188 5350104 5353776 5600708 5604552 5664816 5719872 6018867 6077364 6142712 6146928 6213024 6305121 6372918 6434856 6504048 6508512 6578496 6910551 6915294 6989652 7057584 7133472 7138368 7239213 7317054 7400808 7472736 7553088 7939782 8025156 8103152 8195904 8401062 8406828 8497224 8579808 8672064 9116046 9214068 9220392 9319536 9410112 9559377 9652284 9756072 9762768 9867744 10372941 10484478 10586376 10700208 10707552 10975581 11201416 11209104 11329632 11909673 12037734 12154728 12285424 12293856 12426048 12601593 12610242 12745836 12869712 13008096 13017024 13674069 13821102 13830588 13979304 14115168 14266944 14478426 14634108 14801616 14945472 15726717 15879564 16050312 16206304 16802124 16813656 16994448 17159616 18056601 18232092 18428136 18440784 18639072 18915363 19118754 19304568 19512144 19525536 19735488 20731653 20745882 20968956 21172752 21400416 21415104 21717639 21951162 22402832 22418208 22659264 23803009 23819346 24075468 24309456 24570848 24587712 25203186 25220484 25491672 25739424 26016192 27348138 27642204 27661176 27958608 28230336 28678131 28956852 29268216 29603232 31453434 31759128 32100624 32412608 32926743 33604248 33627312 33988896 35729019 36113202 36464184 36856272 36881568 37278144 37804779 37830726 38237508 38609136 39024288 39051072 41022207 41463306 41491764 41937912 42345504 42800832 43435278 43902324 44805664 44836416 47606018 47638692 48150936 48618912 49141696 50406372 50440968 50983344 51478848 54169803 54696276 55284408 55322352 55917216 57356262 57913704 58536432 59206464 62194959 62906868 63518256 64201248 65152917 65853486 67208496 67254624 67977792 71409027 71458038 72226404 72928368 73712544 73763136 75609558 75661452 76475016 77218272 78048576 82044414 82926612 82983528 83875824 84691008 86870556 87804648 89611328 95212036 95277384 96301872 97237824 98780229 100812744 100881936 101966688 107187057 108339606 109392552 110568816 110644704 111834432 113414337 114712524 115827408 117072864 123066621 124389918 125813736 127036512 128402496 130305834 131706972 134416992 134509248 142818054 142916076 144452808 145856736 147425088 151219116 151322904 152950032 154436544 162509409 164088828 165853224 165967056 167751648 173741112 175609296 186584877 190424072 190554768 192603744 195458751 197560458 201625488 201763872 203933376 214227081 214374114 216679212 218785104 221137632 221289408 226828674 229425048 231654816 234145728 246133242 248779836 251627472 254073024 260611668 263413944 268833984 285636108 285832152 288905616 291713472 296340687 302438232 302645808 305900064 321561171 325018818 328177656 331706448 331934112 335503296 340243011 347482224 351218592 369199863 373169754 380848144 381109536 385207488 390917502 395120916 403250976 403527744 428454162 428748228 433358424 437570208 442275264 453657348 458850096 463309632 487528227 492266484 497559672 503254944 521223336 526827888 559754631 571272216 571664304 577811232 586376253 592681374 604876464 605291616 611800128 642681243 643122342 650037636 656355312 663412896 663868224 680486022 694964448 702437184 738399726 746339508 761696288 762219072 781835004 790241832 806501952 856908324 857496456 866716848 875140416 889022061 907314696 917700192 975056454 984532968 995119344 1006509888 1020729033 1042446672 1053655776 1107599589 1119509262 1142544432 1143328608 1155622464 1172752506 1185362748 1209752928 1210583232 1285362486 1286244684 1300075272 1312710624 1326825792 1360972044 1389928896 1476799452 1492679016 1523392576 1563670008 1580483664 1679263893 1713816648 1714992912 1733433696 1778044122 1814629392 1835400384 1928043729 1950112908 1969065936 1990238688 2041458066 2084893344 2107311552 2215199178 2239018524 2285088864 2286657216 2345505012 2370725496 2419505856 2570724972 2572489368 2600150544 2625421248 2721944088 2953598904 2985358032 3062187099 3127340016 3160967328 3322798767 3358527786 3427633296 3429985824 3466867392 3556088244 3629258784 3856087458 3900225816 3938131872 3980477376 4082916132 4169786688 4430398356 4478037048 4570177728 4691010024 4741450992 5037791679 5141449944 5144978736 5200301088 5443888176 5784131187 5907197808 5970716064 6124374198 6254680032 6321934656 6645597534 6717055572 6855266592 6859971648 7112176488 7258517568 7712174916 7800451632 7876263744 8165832264 8860796712 8956074096 9186561297 9382020048 9482901984 9968396301 10075583358 10282899888 10289957472 10400602176 10887776352 11568262374 11814395616 11941432128 12248748396 12509360064 13291195068 13434111144 13710533184 14224352976 15113375037 15424349832 15600903264 16331664528 17352393561 17721593424 17912148192 18373122594 18764040096 18965803968 19936792602 20151166716 20565799776 20579914944 21775552704 23136524748 23628791232 24497496792 26582390136 26868222288 27559683891 28448705952 30226750074 30848699664 31201806528 32663329056 34704787122 35443186848 35824296384 36746245188 37528080192 39873585204 40302333432 41131599552 46273049496 48994993584 52057180683 53164780272 53736444576 55119367782 56897411904 60453500148 61697399328 65326658112 69409574244 70886373696 73492490376 79747170408 80604666864 92546098992 97989987168 104114361366 106329560544 107472889152 110238735564 120907000296 123394798656 138819148488 146984980752 156171542049 159494340816 161209333728 185092197984 195979974336 208228722732 212659121088 220477471128 241814000592 277638296976 293969961504 312343084098 318988681632 322418667456 370184395968 416457445464 440954942256 468514626147 483628001184 555276593952 587939923008 624686168196 637977363264 832914890928 881909884512 937029252294 967256002368 1110553187904 1249372336392 1665829781856 1763819769024 1874058504588 2498744672784 3331659563712 3748117009176 4997489345568 7496234018352 9994978691136 14992468036704 29984936073408
- Sum of all divisors σ(n): 99728137986048
- Sum of proper divisors (its aliquot sum) s(n): 69743201912640
- 29984936073408 is an abundant number, because the sum of its proper divisors (69743201912640) is greater than itself. Its abundance is 39758265839232
Bases of 29984936073408
- Binary: 1101101000101011010010111011010011000110000002
- Hexadecimal: 0x1B45697698C0
- Base-36: AMMW0R000
Squares and roots of 29984936073408
- 29984936073408 squared (299849360734082) is 899096391326364369164734464
- 29984936073408 cubed (299849360734083) is 26959347817752858616570691971679131533312
-
The
square root of 29984936073408 is 5475850.2603164743 -
The
cube root of 29984936073408 is 31067.1233974281
Scales and comparisons
How big is 29984936073408?- 29,984,936,073,408 seconds is equal to 953,428 years, 11 weeks, 2 days, 5 hours, 16 minutes, 48 seconds.
-
To count from 1 to 29,984,936,073,408 would take you about two million, three hundred eighty-three thousand, five hundred seventy 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 29984936073408 cubic inches would be around 2588.9 feet tall.
Recreational maths with 29984936073408
- 29984936073408 backwards is 80437063948992
- 29984936073408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 29984936073408's digits is 72
- More coming soon!
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The information we have on file for 29984936073408 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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