34349697421312
34,349,697,421,312 is an even composite number composed of seven prime numbers multiplied together.
What does the number 34349697421312 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
34349697421312 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 34349697421312:
212 × 72 × 13 × 19 × 37 × 61 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 19 × 37 × 61 × 307)See below for interesting mathematical facts about the number 34349697421312 from the Numbermatics database.
Names of 34349697421312
- Cardinal: 34349697421312 can be written as Thirty-four trillion, three hundred forty-nine billion, six hundred ninety-seven million, four hundred twenty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.4349697421312 × 1013
Factors of 34349697421312
Divisors of 34349697421312
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 37 38 49 52 56 61 64 74 76 91 98 104 112 122 128 133 148 152 182 196 208 224 244 247 256 259 266 296 304 307 364 392 416 427 448 481 488 494 512 518 532 592 608 614 637 703 728 784 793 832 854 896 931 962 976 988 1024 1036 1064 1159 1184 1216 1228 1274 1406 1456 1568 1586 1664 1708 1729 1792 1813 1862 1924 1952 1976 2048 2072 2128 2149 2257 2318 2368 2432 2456 2548 2812 2912 2989 3136 3172 3328 3367 3416 3458 3584 3626 3724 3848 3904 3952 3991 4096 4144 4256 4298 4514 4636 4736 4864 4912 4921 5096 5551 5624 5824 5833 5978 6272 6344 6656 6734 6832 6916 7168 7252 7448 7696 7808 7904 7982 8113 8288 8512 8596 9028 9139 9272 9472 9728 9824 9842 10192 11102 11248 11359 11648 11666 11956 12103 12544 12688 13312 13468 13664 13832 14336 14504 14896 15043 15067 15392 15616 15799 15808 15964 16226 16576 17024 17192 18056 18278 18544 18727 18944 19456 19648 19684 20384 22204 22496 22718 23296 23332 23569 23912 24206 25088 25376 26624 26936 27328 27664 27937 28672 29008 29341 29792 30086 30134 30784 31232 31598 31616 31928 32452 33152 34048 34384 34447 36112 36556 37088 37454 37888 38857 38912 39296 39368 40768 40831 42883 44408 44992 45436 46592 46664 47138 47824 48412 50176 50752 53248 53872 54656 55328 55874 56791 58016 58682 59584 60172 60268 61568 62464 63196 63232 63856 63973 64904 66304 68096 68768 68894 72224 73112 74176 74908 75776 75829 77714 77824 78592 78736 79513 81536 81662 85766 88816 89984 90872 93184 93328 94276 95648 96824 100352 101504 105469 107744 109312 110593 110656 111748 113582 116032 117364 119168 120344 120536 123136 124928 126392 126464 127712 127946 129808 131089 132608 136192 137536 137788 144448 146224 147667 148352 149816 151552 151658 155428 157184 157472 159026 163072 163324 171532 177632 179968 181744 186368 186656 188552 191296 193648 195559 200704 203008 205387 210938 215488 215821 218624 221186 221312 223496 227164 232064 234728 238336 240688 241072 243451 246272 249856 252784 252928 255424 255892 259616 262178 265216 272384 275072 275576 285817 288896 292448 295334 296704 299632 300181 303316 310856 314368 314944 318052 326144 326648 343064 355264 355813 359936 363488 372736 373312 377104 382592 387296 391118 406016 410774 421876 430976 431642 437248 442372 442624 446992 447811 454328 464128 469456 476672 481376 482144 486902 492544 505568 505856 510848 511784 519232 524356 530432 530803 544768 550144 551152 556591 557479 571634 577792 584896 590668 593408 599264 600362 606632 621712 628736 629888 636104 652288 653296 686128 692899 710528 711626 719872 726976 738283 746624 754208 765184 774592 782236 812032 821548 843752 861952 863284 874496 884744 885248 893984 895622 908656 917623 928256 938912 953344 962752 964288 973804 985088 1011136 1011712 1021696 1023568 1033669 1038464 1048712 1060864 1061606 1100288 1102304 1113182 1114958 1143268 1155584 1169792 1181336 1186816 1198528 1200724 1213264 1243424 1257472 1259776 1272208 1304576 1306592 1372256 1385798 1421056 1423252 1437709 1439744 1453952 1476566 1493248 1508416 1510747 1530368 1549184 1564472 1624064 1643096 1687504 1704157 1723904 1726568 1748992 1769488 1770496 1787968 1791244 1817312 1835246 1856512 1877824 1906688 1925504 1928576 1947608 1970176 2022272 2043392 2047136 2067338 2076928 2097424 2101267 2123212 2200576 2204608 2226364 2229916 2286536 2311168 2339584 2362672 2373632 2397056 2401448 2426528 2486848 2490691 2519552 2544416 2609152 2613184 2744512 2771596 2805673 2842112 2846504 2875418 2879488 2907904 2953132 2986496 3016832 3021494 3060736 3098368 3128944 3248128 3286192 3375008 3408314 3447808 3453136 3538976 3540992 3575936 3582488 3634624 3670492 3713024 3715621 3755648 3813376 3851008 3857152 3895216 3902353 4044544 4086784 4094272 4134676 4153856 4194848 4202534 4246424 4401152 4409216 4452728 4459832 4573072 4622336 4625569 4679168 4725344 4747264 4794112 4802896 4850293 4853056 4973696 4981382 5039104 5088832 5226368 5489024 5543192 5611346 5684224 5693008 5750836 5815808 5906264 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310595584 314235376 318808448 325685248 338407328 342292106 354764288 359126144 364352512 368053504 368622268 378000896 381731168 386751232 400504832 420632576 421282592 432001024 436264192 437063536 441376663 442001408 452988928 453305762 458558464 463083712 469822976 475599488 498587648 499501184 504430472 518063728 529238528 536940544 537924352 543232816 543542272 549911908 557914784 569949184 570858496 576491968 585353216 592072832 604844032 614770688 620837504 628470752 637616896 645088969 676814656 684584212 709528576 718252288 728705024 736107008 737244536 756001792 763462336 773502464 801009664 841265152 842565184 872528384 874127072 882753326 884002816 906611524 917116928 926167424 939645952 951198976 997175296 999002368 1008860944 1036127456 1058477056 1075848704 1086465632 1087084544 1099823816 1115829568 1139898368 1141716992 1152983936 1170706432 1184145664 1198022371 1229541376 1241675008 1256941504 1275233792 1290177938 1353629312 1369168424 1419057152 1436504576 1457410048 1472214016 1474489072 1512003584 1526924672 1547004928 1685130368 1745056768 1748254144 1765506652 1813223048 1834233856 1852334848 1879291904 1902397952 1998004736 2017721888 2072254912 2116954112 2151697408 2172931264 2174169088 2199647632 2231659136 2279796736 2283433984 2305967872 2368291328 2396044742 2483350016 2513883008 2550467584 2580355876 2707258624 2738336848 2838114304 2873009152 2944428032 2948978144 3024007168 3053849344 3094009856 3370260736 3490113536 3496508288 3531013304 3626446096 3704669696 3758583808 3804795904 3996009472 4035443776 4144509824 4233908224 4303394816 4345862528 4399295264 4463318272 4611935744 4736582656 4792089484 4966700032 5027766016 5100935168 5160711752 5414517248 5476673696 5746018304 5888856064 5897956288 6107698688 6188019712 6740521472 6980227072 6993016576 7062026608 7252892192 7409339392 7609591808 7992018944 8070887552 8289019648 8386156597 8606789632 8691725056 8798590528 8926636544 9223871488 9473165312 9584178968 9933400064 10055532032 10201870336 10321423504 10829034496 10953347392 11492036608 11795912576 12215397376 13481042944 13986033152 14124053216 14505784384 14818678784 15219183616 15984037888 16141775104 16578039296 16772313194 17383450112 17597181056 17853273088 18447742976 18946330624 19168357936 19866800128 20111064064 20642847008 21658068992 21906694784 23591825152 24430794752 26962085888 27972066304 28248106432 29011568768 29637357568 32283550208 33156078592 33544626388 34766900224 35194362112 35706546176 36895485952 38336715872 40222128128 41285694016 43316137984 43813389568 47183650304 48861589504 53924171776 55944132608 56496212864 58023137536 64567100416 66312157184 67089252776 69533800448 70388724224 71413092352 76673431744 80444256256 82571388032 87626779136 94367300608 111888265216 112992425728 116046275072 129134200832 132624314368 134178505552 139067600896 140777448448 153346863488 165142776064 175253558272 188734601216 225984851456 232092550144 258268401664 268357011104 281554896896 306693726976 330285552128 350507116544 377469202432 451969702912 464185100288 536714022208 563109793792 613387453952 660571104256 701014233088 903939405824 928370200576 1073428044416 1226774907904 1321142208512 1807878811648 2146856088832 2453549815808 2642284417024 4293712177664 4907099631616 8587424355328 17174848710656 34349697421312
- Sum of all divisors σ(n): 94862772977280
- Sum of proper divisors (its aliquot sum) s(n): 60513075555968
- 34349697421312 is an abundant number, because the sum of its proper divisors (60513075555968) is greater than itself. Its abundance is 26163378134656
Bases of 34349697421312
- Binary: 1111100111101101010011000001101010000000000002
- Hexadecimal: 0x1F3DA9835000
- Base-36: C6C16YMF4
Squares and roots of 34349697421312
- 34349697421312 squared (343496974213122) is 1179901712935688262431801344
- 34349697421312 cubed (343496974213123) is 40529266826228622781349552552259855843328
-
The
square root of 34349697421312 is 5860861.4913945885 -
The
cube root of 34349697421312 is 32506.8064391493
Scales and comparisons
How big is 34349697421312?- 34,349,697,421,312 seconds is equal to 1,092,214 years, 6 weeks, 4 days, 9 hours, 1 minute, 52 seconds.
-
To count from 1 to 34,349,697,421,312 would take you about two million, seven hundred thirty thousand, five hundred thirty-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 34349697421312 cubic inches would be around 2708.9 feet tall.
Recreational maths with 34349697421312
- 34349697421312 backwards is 21312479694343
- The number of decimal digits it has is: 14
- The sum of 34349697421312's digits is 58
- More coming soon!
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The information we have on file for 34349697421312 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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