34427086307328
34,427,086,307,328 is an even composite number composed of six prime numbers multiplied together.
What does the number 34427086307328 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1104 divisors.
34427086307328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred four divisors.
Prime factorization of 34427086307328:
222 × 3 × 11 × 13 × 192 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 19 × 19 × 53)See below for interesting mathematical facts about the number 34427086307328 from the Numbermatics database.
Names of 34427086307328
- Cardinal: 34427086307328 can be written as Thirty-four trillion, four hundred twenty-seven billion, eighty-six million, three hundred seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 3.4427086307328 × 1013
Factors of 34427086307328
Divisors of 34427086307328
- Number of divisors d(n): 1104
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 53 57 64 66 76 78 88 96 104 106 114 128 132 143 152 156 159 176 192 208 209 212 228 247 256 264 286 304 312 318 352 361 384 416 418 424 429 456 494 512 528 572 583 608 624 627 636 689 704 722 741 768 832 836 848 858 912 988 1007 1024 1056 1083 1144 1166 1216 1248 1254 1272 1378 1408 1444 1482 1536 1664 1672 1696 1716 1749 1824 1976 2014 2048 2067 2112 2166 2288 2332 2432 2496 2508 2544 2717 2756 2816 2888 2964 3021 3072 3328 3344 3392 3432 3498 3648 3952 3971 4028 4096 4134 4224 4332 4576 4664 4693 4864 4992 5016 5088 5434 5512 5632 5776 5928 6042 6144 6656 6688 6784 6864 6996 7296 7579 7904 7942 8056 8151 8192 8268 8448 8664 9152 9328 9386 9728 9984 10032 10176 10868 11024 11077 11264 11552 11856 11913 12084 12288 13091 13312 13376 13568 13728 13992 14079 14592 15158 15808 15884 16112 16302 16384 16536 16896 17328 18304 18656 18772 19133 19456 19968 20064 20352 21736 22048 22154 22528 22737 23104 23712 23826 24168 24576 26182 26624 26752 27136 27456 27984 28158 29184 30316 31616 31768 32224 32604 32768 33072 33231 33792 34656 36608 37312 37544 38266 38912 39273 39936 40128 40704 43472 44096 44308 45056 45474 46208 47424 47652 48336 49152 51623 52364 53248 53504 54272 54912 55968 56316 57399 58368 60632 63232 63536 64448 65208 65536 66144 66462 67584 69312 73216 74624 75088 76532 77824 78546 79872 80256 81408 86944 88192 88616 90112 90948 92416 94848 95304 96672 98304 103246 104728 106496 107008 108544 109824 111936 112632 114798 116736 121264 126464 127072 128896 130416 131072 132288 132924 135168 138624 144001 146432 149248 150176 153064 154869 155648 157092 159744 160512 162816 173888 176384 177232 180224 181896 184832 189696 190608 193344 196608 206492 209456 210463 212992 214016 217088 219648 223872 225264 229596 233472 242528 248729 252928 254144 257792 260832 262144 264576 265848 270336 277248 288002 292864 298496 300352 306128 309738 311296 314184 319488 321024 325632 347776 352768 354464 360448 363792 369664 379392 381216 386688 393216 412984 418912 420926 425984 428032 432003 434176 439296 447744 450528 459192 466944 485056 497458 505856 508288 515584 521664 524288 529152 531696 540672 554496 576004 585728 596992 600704 612256 619476 622592 628368 631389 638976 642048 651264 695552 705536 708928 720896 727584 739328 746187 758784 762432 773376 786432 825968 837824 841852 851968 856064 864006 868352 878592 895488 901056 918384 933888 970112 994916 1011712 1016576 1031168 1043328 1048576 1058304 1063392 1081344 1108992 1152008 1171456 1193984 1201408 1224512 1238952 1245184 1256736 1262778 1277952 1284096 1302528 1391104 1411072 1417856 1441792 1455168 1478656 1492374 1517568 1524864 1546752 1572864 1651936 1675648 1683704 1703936 1712128 1728012 1736704 1757184 1790976 1802112 1836768 1867776 1940224 1989832 2023424 2033152 2062336 2086656 2097152 2116608 2126784 2162688 2217984 2304016 2342912 2387968 2402816 2449024 2477904 2490368 2513472 2525556 2555904 2568192 2605056 2736019 2782208 2822144 2835712 2883584 2910336 2957312 2984748 3035136 3049728 3093504 3145728 3303872 3351296 3367408 3407872 3424256 3456024 3473408 3514368 3581952 3604224 3673536 3735552 3880448 3979664 4046848 4066304 4124672 4173312 4194304 4233216 4253568 4325376 4435968 4608032 4685824 4775936 4805632 4898048 4955808 4980736 5026944 5051112 5111808 5136384 5210112 5472038 5564416 5644288 5671424 5767168 5820672 5914624 5969496 6070272 6099456 6187008 6291456 6607744 6702592 6734816 6815744 6848512 6912048 6946816 7028736 7163904 7208448 7347072 7471104 7760896 7959328 8093696 8132608 8208057 8249344 8346624 8466432 8507136 8650752 8871936 9216064 9371648 9551872 9611264 9796096 9911616 9961472 10053888 10102224 10223616 10272768 10420224 10944076 11128832 11288576 11342848 11534336 11641344 11829248 11938992 12140544 12198912 12374016 12582912 13215488 13405184 13469632 13631488 13697024 13824096 13893632 14057472 14327808 14416896 14694144 14942208 15521792 15918656 16187392 16265216 16416114 16498688 16693248 16932864 17014272 17301504 17743872 18432128 18743296 19103744 19222528 19592192 19823232 19922944 20107776 20204448 20447232 20545536 20840448 21888152 22257664 22577152 22685696 23068672 23282688 23658496 23877984 24281088 24397824 24748032 26430976 26810368 26939264 27262976 27394048 27648192 27787264 28114944 28655616 28833792 29388288 29884416 31043584 31837312 32374784 32530432 32832228 32997376 33386496 33865728 34028544 34603008 35487744 36864256 37486592 38207488 38445056 39184384 39646464 39845888 40215552 40408896 40894464 41091072 41680896 43776304 44515328 45154304 45371392 46137344 46565376 47316992 47755968 48562176 48795648 49496064 52861952 53620736 53878528 54525952 54788096 55296384 55574528 56229888 57311232 57667584 58776576 59768832 62087168 63674624 64749568 65060864 65664456 65994752 66772992 67731456 68057088 69206016 70975488 73728512 74973184 76414976 76890112 78368768 79292928 79691776 80431104 80817792 81788928 82182144 83361792 87552608 89030656 90308608 90742784 93130752 94633984 95511936 97124352 97591296 98992128 105723904 107241472 107757056 109576192 110592768 111149056 112459776 114622464 115335168 117553152 119537664 124174336 127349248 129499136 130121728 131328912 131989504 133545984 135462912 136114176 138412032 141950976 147457024 149946368 152829952 153780224 156737536 158585856 160862208 161635584 163577856 164364288 166723584 175105216 178061312 180617216 181485568 186261504 189267968 191023872 194248704 195182592 197984256 211447808 214482944 215514112 219152384 221185536 222298112 224919552 229244928 230670336 235106304 239075328 248348672 254698496 258998272 260243456 262657824 263979008 267091968 270925824 272228352 283901952 294914048 299892736 305659904 307560448 313475072 317171712 321724416 323271168 328728576 333447168 350210432 356122624 361234432 362971136 372523008 378535936 382047744 388497408 390365184 395968512 422895616 428965888 431028224 438304768 442371072 449839104 458489856 461340672 470212608 496697344 509396992 517996544 520486912 525315648 527958016 534183936 541851648 544456704 567803904 589828096 599785472 611319808 615120896 626950144 634343424 643448832 646542336 657457152 666894336 700420864 712245248 722468864 725942272 745046016 757071872 764095488 776994816 780730368 791937024 845791232 857931776 862056448 876609536 884742144 899678208 916979712 922681344 940425216 993394688 1018793984 1035993088 1040973824 1050631296 1055916032 1068367872 1083703296 1088913408 1135607808 1179656192 1222639616 1230241792 1253900288 1268686848 1286897664 1293084672 1314914304 1400841728 1424490496 1444937728 1451884544 1490092032 1514143744 1528190976 1553989632 1561460736 1583874048 1691582464 1715863552 1724112896 1769484288 1799356416 1833959424 1845362688 1880850432 1986789376 2037587968 2081947648 2101262592 2111832064 2136735744 2167406592 2177826816 2271215616 2359312384 2445279232 2460483584 2507800576 2537373696 2573795328 2586169344 2629828608 2801683456 2848980992 2889875456 2903769088 2980184064 3056381952 3107979264 3122921472 3167748096 3383164928 3431727104 3448225792 3538968576 3667918848 3690725376 3761700864 3973578752 4075175936 4163895296 4202525184 4223664128 4273471488 4334813184 4355653632 4542431232 4718624768 4920967168 5015601152 5074747392 5147590656 5172338688 5603366912 5697961984 5807538176 5960368128 6112763904 6245842944 6335496192 6766329856 6863454208 6896451584 7077937152 7335837696 7381450752 7523401728 7947157504 8150351872 8327790592 8405050368 8546942976 8669626368 8711307264 9437249536 9841934336 10031202304 10149494784 10295181312 10344677376 11206733824 11395923968 11615076352 11920736256 12225527808 12491685888 12670992384 13532659712 13726908416 13792903168 14155874304 14762901504 15046803456 15894315008 16300703744 16655581184 16810100736 17093885952 17422614528 18874499072 19683868672 20062404608 20298989568 20590362624 20689354752 22413467648 23230152704 23841472512 24451055616 24983371776 27065319424 27453816832 27585806336 28311748608 29525803008 30093606912 31788630016 32601407488 33620201472 34187771904 34845229056 37748998144 40124809216 40597979136 41180725248 41378709504 44826935296 46460305408 47682945024 48902111232 49966743552 54130638848 54907633664 55171612672 56623497216 59051606016 60187213824 65202814976 67240402944 69690458112 75497996288 80249618432 81195958272 82361450496 82757419008 89653870592 95365890048 97804222464 108261277696 110343225344 113246994432 120374427648 130405629952 134480805888 139380916224 150995992576 162391916544 164722900992 165514838016 179307741184 195608444928 216522555392 220686450688 226493988864 240748855296 260811259904 268961611776 301991985152 324783833088 331029676032 358615482368 391216889856 441372901376 452987977728 521622519808 537923223552 603983970304 649567666176 662059352064 717230964736 782433779712 882745802752 905975955456 1043245039616 1075846447104 1324118704128 1434461929472 1564867559424 1811951910912 2151692894208 2648237408256 2868923858944 3129735118848 4303385788416 5737847717888 8606771576832 11475695435776 17213543153664 34427086307328
- Sum of all divisors σ(n): 115978598680896
- Sum of proper divisors (its aliquot sum) s(n): 81551512373568
- 34427086307328 is an abundant number, because the sum of its proper divisors (81551512373568) is greater than itself. Its abundance is 47124426066240
Bases of 34427086307328
- Binary: 1111101001111101011100100000000000000000000002
- Hexadecimal: 0x1F4FAE400000
- Base-36: C7BL2B11C
Squares and roots of 34427086307328
- 34427086307328 squared (344270863073282) is 1185224271612211066866499584
- 34427086307328 cubed (344270863073283) is 40803818292333553995202334455279808151552
-
The
square root of 34427086307328 is 5867459.9536194535 -
The
cube root of 34427086307328 is 32531.2004304337
Scales and comparisons
How big is 34427086307328?- 34,427,086,307,328 seconds is equal to 1,094,674 years, 44 weeks, 3 days, 1 hour, 48 minutes, 48 seconds.
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To count from 1 to 34,427,086,307,328 would take you about two million, seven hundred thirty-six thousand, six hundred eighty-seven 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 34427086307328 cubic inches would be around 2710.9 feet tall.
Recreational maths with 34427086307328
- 34427086307328 backwards is 82370368072443
- 34427086307328 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34427086307328's digits is 57
- More coming soon!
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The information we have on file for 34427086307328 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!
Keywords: Divisors of 34427086307328, math, Factors of 34427086307328, curriculum, school, college, exams, university, Prime factorization of 34427086307328, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, four hundred twenty-seven billion, eighty-six million, three hundred seven thousand, three hundred twenty-eight.