34097388429312
34,097,388,429,312 is an even composite number composed of five prime numbers multiplied together.
What does the number 34097388429312 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
34097388429312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 34097388429312:
213 × 32 × 132 × 173 × 557
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 17 × 17 × 17 × 557)See below for interesting mathematical facts about the number 34097388429312 from the Numbermatics database.
Names of 34097388429312
- Cardinal: 34097388429312 can be written as Thirty-four trillion, ninety-seven billion, three hundred eighty-eight million, four hundred twenty-nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.4097388429312 × 1013
Factors of 34097388429312
Divisors of 34097388429312
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 64 68 72 78 96 102 104 117 128 136 144 153 156 169 192 204 208 221 234 256 272 288 289 306 312 338 384 408 416 442 468 507 512 544 557 576 578 612 624 663 676 768 816 832 867 884 936 1014 1024 1088 1114 1152 1156 1224 1248 1326 1352 1521 1536 1632 1664 1671 1734 1768 1872 1989 2028 2048 2176 2228 2304 2312 2448 2496 2601 2652 2704 2873 3042 3072 3264 3328 3342 3468 3536 3744 3757 3978 4056 4096 4352 4456 4608 4624 4896 4913 4992 5013 5202 5304 5408 5746 6084 6144 6528 6656 6684 6936 7072 7241 7488 7514 7956 8112 8192 8619 8704 8912 9216 9248 9469 9792 9826 9984 10026 10404 10608 10816 11271 11492 12168 12288 13056 13312 13368 13872 14144 14482 14739 14976 15028 15912 16224 17238 17408 17824 18432 18496 18938 19584 19652 19968 20052 20808 21216 21632 21723 22542 22984 24336 24576 25857 26112 26624 26736 27744 28288 28407 28964 29478 29952 30056 31824 32448 33813 34476 34816 35648 36864 36992 37876 39168 39304 39936 40104 41616 42432 43264 43446 44217 45084 45968 48672 48841 51714 52224 53248 53472 55488 56576 56814 57928 58956 59904 60112 63648 63869 64896 65169 67626 68952 69632 71296 73728 73984 75752 78336 78608 79872 80208 83232 84864 85221 86528 86892 88434 90168 91936 94133 97344 97682 103428 104448 106496 106944 110976 113152 113628 115856 117912 119808 120224 123097 127296 127738 129792 130338 135252 137904 139264 142592 146523 147968 151504 156672 157216 159744 160416 160973 166464 169728 170442 173056 173784 176868 180336 183872 188266 191607 194688 195364 206856 208896 213888 221952 226304 227256 231712 235824 239616 240448 246194 254592 255476 259584 260676 270504 275808 282399 285184 293046 295936 303008 313344 314432 319488 320832 321946 332928 339456 340884 346112 347568 353736 360672 367744 369291 376532 383214 389376 390728 413712 417792 427776 439569 443904 452608 454512 463424 471648 479232 480896 482919 492388 509184 510952 519168 521352 541008 551616 564798 570368 574821 586092 591872 606016 626688 628864 641664 643892 665856 678912 681768 692224 695136 707472 721344 735488 738582 753064 766428 778752 781456 827424 830297 847197 855552 879138 887808 905216 909024 926848 943296 958464 961792 965838 984776 1018368 1021904 1038336 1042704 1082016 1103232 1107873 1129596 1140736 1149642 1172184 1183744 1212032 1253376 1257728 1283328 1287784 1331712 1357824 1363536 1384448 1390272 1414944 1442688 1448757 1470976 1477164 1506128 1532856 1557504 1562912 1600261 1654848 1660594 1694394 1711104 1758276 1775616 1810432 1818048 1853696 1886592 1923584 1931676 1969552 2036736 2043808 2076672 2085408 2092649 2164032 2206464 2215746 2259192 2281472 2299284 2344368 2367488 2424064 2490891 2515456 2566656 2575568 2663424 2715648 2727072 2736541 2780544 2829888 2885376 2897514 2941952 2954328 3012256 3065712 3115008 3125824 3200522 3309696 3321188 3388788 3422208 3516552 3551232 3636096 3707392 3773184 3847168 3863352 3939104 4073472 4087616 4153344 4170816 4185298 4328064 4412928 4431492 4518384 4562944 4598568 4688736 4800783 4848128 4981782 5030912 5133312 5151136 5326848 5431296 5454144 5473082 5561088 5659776 5770752 5795028 5883904 5908656 6024512 6131424 6230016 6251648 6277947 6401044 6619392 6642376 6777576 6844416 7033104 7102464 7272192 7414784 7472673 7546368 7694336 7726704 7878208 8146944 8175232 8209623 8341632 8370596 8656128 8825856 8862984 9036768 9197136 9377472 9601566 9696256 9963564 10061824 10266624 10302272 10653696 10908288 10946164 11122176 11319552 11541504 11590056 11767808 11817312 12049024 12262848 12460032 12503296 12555894 12802088 13238784 13284752 13555152 13688832 14066208 14402349 14544384 14829568 14945346 15092736 15388672 15453408 15756416 16293888 16350464 16419246 16683264 16741192 17312256 17651712 17725968 18073536 18394272 18754944 18833841 19203132 19392512 19927128 20123648 20533248 20604544 21307392 21816576 21892328 22244352 22639104 23083008 23180112 23535616 23634624 24098048 24525696 24628869 25006592 25111788 25604176 26477568 26569504 27110304 27204437 28132416 28804698 29088768 29659136 29890692 30185472 30777344 30906816 31512832 32700928 32838492 33366528 33482384 34624512 35303424 35451936 35575033 36147072 36788544 37509888 37667682 38406264 38785024 39854256 40247296 41066496 41209088 43633152 43784656 44488704 45278208 46166016 46360224 47269248 48196096 49051392 49257738 50013184 50223576 51208352 52955136 53139008 54220608 54408874 56264832 57609396 58177536 59318272 59781384 60370944 61813632 63025664 65401856 65676984 66733056 66964768 69249024 70606848 70903872 71150066 72294144 73577088 75019776 75335364 76812528 77570048 79708512 81613311 82418176 87266304 87569312 88977408 90556416 92332032 92720448 94538496 96392192 98102784 98515476 100026368 100447152 102416704 105910272 106278016 106725099 108441216 108817748 112529664 115218792 116355072 119562768 120741888 123627264 126051328 130803712 131353968 133466112 133929536 138498048 141807744 142300132 144588288 147154176 150039552 150670728 153625056 159417024 163226622 164836352 174532608 175138624 177954816 181112832 185440896 189076992 192784384 196205568 197030952 200052736 200894304 204833408 211820544 212556032 213450198 216882432 217635496 225059328 230437584 232710144 239125536 244839933 247254528 252102656 261607424 262707936 266932224 267859072 276996096 283615488 284600264 289176576 294308352 300079104 301341456 307250112 318834048 320175297 326453244 329672704 349065216 350277248 362225664 370881792 378153984 385568768 392411136 394061904 400105472 401788608 409666816 425112064 426900396 433764864 435270992 450118656 460875168 462475429 478251072 489679866 494509056 504205312 523214848 525415872 533864448 535718144 567230976 569200528 578353152 588616704 600158208 602682912 614500224 637668096 640350594 652906488 659345408 698130432 700554496 741763584 756307968 771137536 784822272 788123808 803577216 819333632 850224128 853800792 867529728 870541984 900237312 921750336 924950858 956502144 979359732 989018112 1008410624 1050831744 1071436288 1134461952 1138401056 1156706304 1177233408 1200316416 1205365824 1229000448 1275336192 1280701188 1305812976 1318690816 1387426287 1401108992 1483527168 1512615936 1569644544 1576247616 1607154432 1638667264 1700448256 1707601584 1735059456 1741083968 1800474624 1843500672 1849901716 1913004288 1958719464 1978036224 2101663488 2142872576 2268923904 2276802112 2313412608 2354466816 2410731648 2458000896 2550672384 2561402376 2611625952 2774852574 2802217984 2967054336 3025231872 3152495232 3214308864 3277334528 3400896512 3415203168 3470118912 3482167936 3600949248 3687001344 3699803432 3826008576 3917438928 3956072448 4162278861 4203326976 4285745152 4537847808 4553604224 4708933632 4821463296 4916001792 5101344768 5122804752 5223251904 5549705148 5604435968 5934108672 6304990464 6428617728 6554669056 6801793024 6830406336 6940237824 6964335872 7374002688 7399606864 7652017152 7834877856 8324557722 8406653952 8571490304 9075695616 9107208448 9642926592 9832003584 10202689536 10245609504 10446503808 11099410296 11208871936 11868217344 12609980928 12857235456 13109338112 13660812672 13928671744 14748005376 14799213728 15304034304 15669755712 16649115444 16813307904 17142980608 18214416896 19285853184 19664007168 20405379072 20491219008 20893007616 22198820592 22417743872 25219961856 25714470912 27321625344 27857343488 29496010752 29598427456 30608068608 31339511424 33298230888 33626615808 36428833792 38571706368 39328014336 40982438016 41786015232 44397641184 50439923712 51428941824 54643250688 55714686976 58992021504 59196854912 61216137216 62679022848 66596461776 67253231616 72857667584 77143412736 81964876032 83572030464 88795282368 100879847424 109286501376 111429373952 117984043008 118393709824 125358045696 133192923552 145715335168 154286825472 163929752064 167144060928 177590564736 201759694848 218573002752 222858747904 236787419648 250716091392 266385847104 291430670336 327859504128 334288121856 355181129472 437146005504 473574839296 501432182784 532771694208 655719008256 668576243712 710362258944 874292011008 947149678592 1002864365568 1065543388416 1311438016512 1420724517888 1894299357184 2005728731136 2131086776832 2622876033024 2841449035776 3788598714368 4262173553664 5682898071552 8524347107328 11365796143104 17048694214656 34097388429312
- Sum of all divisors σ(n): 113525278303320
- Sum of proper divisors (its aliquot sum) s(n): 79427889874008
- 34097388429312 is an abundant number, because the sum of its proper divisors (79427889874008) is greater than itself. Its abundance is 45330501444696
Bases of 34097388429312
- Binary: 1111100000010111010101011100110100000000000002
- Hexadecimal: 0x1F02EAB9A000
- Base-36: C344GPA80
Squares and roots of 34097388429312
- 34097388429312 squared (340973884293122) is 1162631897699379858420793344
- 34097388429312 cubed (340973884293123) is 39642711416163887657075023696533104099328
-
The
square root of 34097388429312 is 5839296.9122414045 -
The
cube root of 34097388429312 is 32427.0199683537
Scales and comparisons
How big is 34097388429312?- 34,097,388,429,312 seconds is equal to 1,084,191 years, 25 weeks, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 34,097,388,429,312 would take you about two million, seven hundred ten thousand, four hundred seventy-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 34097388429312 cubic inches would be around 2702.3 feet tall.
Recreational maths with 34097388429312
- 34097388429312 backwards is 21392488379043
- The number of decimal digits it has is: 14
- The sum of 34097388429312's digits is 63
- More coming soon!
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The information we have on file for 34097388429312 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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