34135930536400
34,135,930,536,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 34135930536400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
34135930536400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 34135930536400:
24 × 52 × 72 × 112 × 37 × 733
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 37 × 73 × 73 × 73)See below for interesting mathematical facts about the number 34135930536400 from the Numbermatics database.
Names of 34135930536400
- Cardinal: 34135930536400 can be written as Thirty-four trillion, one hundred thirty-five billion, nine hundred thirty million, five hundred thirty-six thousand, four hundred.
Scientific notation
- Scientific notation: 3.41359305364 × 1013
Factors of 34135930536400
Divisors of 34135930536400
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 37 40 44 49 50 55 56 70 73 74 77 80 88 98 100 110 112 121 140 146 148 154 175 176 185 196 200 220 242 245 259 275 280 292 296 308 350 365 370 385 392 400 407 440 484 490 511 518 539 550 560 584 592 605 616 700 730 740 770 784 803 814 847 880 925 968 980 1022 1036 1078 1100 1168 1210 1225 1232 1295 1400 1460 1480 1540 1606 1628 1694 1813 1825 1850 1925 1936 1960 2035 2044 2072 2156 2200 2420 2450 2555 2590 2695 2701 2800 2849 2920 2960 3025 3080 3212 3256 3388 3577 3626 3650 3700 3850 3920 4015 4070 4088 4144 4235 4312 4400 4477 4840 4900 5110 5180 5329 5390 5402 5621 5698 5840 5929 6050 6160 6424 6475 6512 6776 7154 7252 7300 7400 7700 8030 8140 8176 8470 8624 8833 8954 9065 9680 9800 10175 10220 10360 10658 10780 10804 11242 11396 11858 12100 12775 12848 12950 13475 13505 13552 14245 14308 14504 14600 14800 15400 16060 16280 16940 17666 17885 17908 18130 18907 19600 19943 20075 20350 20440 20720 21175 21316 21560 21608 22385 22484 22792 23716 24200 25550 25900 26645 26950 27010 28105 28490 28616 29008 29200 29645 29711 30800 31339 32120 32560 33880 35332 35770 35816 36260 37303 37814 39347 39886 40150 40700 40880 42350 42632 43120 43216 44165 44770 44968 45325 45584 47432 48400 51100 51800 53290 53900 54020 56210 56980 57232 58619 59290 59422 61831 62678 64240 67525 67760 70664 71225 71540 71632 72520 74606 75628 78694 79772 80300 81400 84700 85264 88330 89425 89540 89936 90650 94535 94864 99715 102200 103600 106580 107800 108040 111925 112420 113960 117238 118580 118844 123662 125356 132349 133225 135050 140525 141328 142450 143080 145040 148225 148555 149212 151256 156695 157388 159544 160600 162800 169400 176660 178850 179080 181300 186515 189070 196735 197173 199430 204400 207977 213160 215600 216080 219373 220825 223850 224840 227920 234476 237160 237688 247324 250712 261121 264698 266450 270100 281050 284900 286160 293095 296450 297110 298424 302512 309155 313390 314776 319088 321200 326821 338800 353320 357700 358160 362600 373030 378140 389017 393470 394346 398860 410333 415954 426320 432817 438746 441650 447700 449680 468952 472675 474320 475376 494648 498575 501424 522242 529396 532900 540200 562100 569800 586190 592900 594220 596848 618310 626780 629552 644809 653642 661745 706640 715400 725200 742775 746060 756280 778034 783475 786940 788692 797720 820666 831908 865634 877492 883300 895400 932575 937904 945350 983675 985865 989296 997150 1039885 1044484 1058792 1065800 1080400 1096865 1124200 1139600 1172380 1185800 1188440 1236620 1253560 1289618 1305605 1307284 1323490 1380211 1430800 1455839 1465475 1485550 1492120 1512560 1545775 1556068 1566950 1573880 1577384 1595440 1634105 1641332 1663816 1731268 1754984 1766600 1790800 1865150 1890700 1945085 1967350 1971730 1994300 2051665 2079770 2088968 2117584 2131600 2164085 2168903 2193730 2248400 2287747 2344760 2371600 2376880 2473240 2507120 2579236 2611210 2614568 2646980 2723119 2760422 2872331 2911678 2930950 2971100 2984240 3091550 3112136 3133900 3147760 3154768 3224045 3268210 3282664 3308725 3327632 3462536 3509968 3533200 3730300 3781400 3890170 3934700 3943460 3988600 4103330 4159540 4177936 4279187 4328170 4337806 4387460 4513663 4575494 4689520 4929325 4946480 5158472 5199425 5222420 5229136 5293960 5446238 5484325 5520844 5744662 5823356 5861900 5942200 6183100 6224272 6267800 6448090 6528025 6536420 6565328 6617450 6901055 6925072 7279195 7460600 7562800 7780340 7869400 7886920 7977200 8170525 8206660 8319080 8558374 8656340 8675612 8774920 9027326 9150988 9661477 9725425 9858650 10258325 10316944 10398850 10444840 10587920 10820425 10844515 10892476 10968650 11041688 11438735 11489324 11646712 11723800 11884400 12366200 12535600 12896180 13056050 13072840 13234900 13615595 13802110 14361655 14393629 14558390 14921200 15182321 15560680 15738800 15773840 16014229 16120225 16341050 16413320 16638160 17116748 17312680 17351224 17549840 18054652 18301976 19061833 19322954 19450850 19717300 20516650 20797700 20889680 21395935 21640850 21689030 21784952 21937300 22083376 22568315 22877470 22978648 23293424 23447600 23857933 24732400 25792360 26112100 26145680 26469800 27231190 27604220 28723310 28787258 29116780 29954309 30364642 31121360 31595641 32028458 32240450 32682100 32826640 34233496 34505275 34625360 34702448 36109304 36395975 36603952 38123666 38645908 38901700 39434600 41033300 41595400 42791870 43281700 43378060 43569904 43874600 45136630 45754940 45957296 47071057 47715866 48307385 51584720 52224200 52939600 54222575 54462380 55208440 57193675 57446620 57574516 58233560 59908618 60729284 63191282 64056916 64480900 65364200 68077975 68466992 69010550 71808275 71968145 72218608 72791950 75911605 76247332 77291816 77803400 78869200 80071145 82066600 83190800 85583740 86563400 86756120 87749200 90273260 91509880 94142114 95309165 95431732 96614770 100755403 104448400 106276247 106979675 108445150 108924760 110416880 112841575 114387350 114893240 115149032 116467120 119289665 119817236 121458568 126382564 128113832 128961800 130728400 136155950 138021100 143616550 143936290 145583900 149771545 151823210 152494664 154583632 155606800 157978205 158329919 160142290 164133200 167005531 171167480 173126800 173512240 180546520 183019760 188284228 190618330 190863464 193229540 201510806 209680163 212552494 213959350 216890300 217849520 225683150 228774700 229786480 230298064 235355285 238579330 239634472 241536925 242917136 252765128 256227664 257923600 272311900 276042200 287233100 287872580 291167800 299543090 303646420 304989328 315956410 316659838 320284580 329497399 334011062 342334960 359840725 361093040 376568456 379558025 381236660 381726928 386459080 400355725 403021612 419360326 425104988 427918700 433780600 451366300 457549400 470710570 476545825 477158660 479268944 483073850 503777015 505530256 531381235 544623800 552084400 574466200 575745160 582335600 596448325 599086180 607292840 631912820 633319676 640569160 658994798 668022124 705287821 719681450 748857725 753136912 759116050 762473320 772918160 789891025 791649595 800711450 806043224 835027655 838720652 850209976 855837400 867561200 902732600 915098800 941421140 953091650 954317320 966147700 1007554030 1048400815 1062762470 1089247600 1108309433 1148932400 1151490320 1169038717 1176776425 1192896650 1198172360 1214585680 1263825640 1266639352 1281138320 1317989596 1336044248 1410575642 1439362900 1497715450 1518232100 1524946640 1579782050 1583299190 1601422900 1612086448 1647486995 1670055310 1677441304 1700419952 1711674800 1741629109 1805465200 1882842280 1906183300 1908634640 1932295400 2015108060 2096801630 2125524940 2216618866 2306481793 2338077434 2353552850 2385793300 2396344720 2518885075 2527651280 2533278704 2635979192 2656906175 2672088496 2821151284 2878725800 2995430900 3036464200 3159564100 3166598380 3202845800 3294973990 3340110620 3354882608 3483258218 3526439105 3765684560 3812366600 3864590800 3958247975 4030216120 4175138275 4193603260 4251049880 4433237732 4612963586 4676154868 4707105700 4771586600 5037770150 5242004075 5271958384 5313812350 5541547165 5642302568 5757451600 5845193585 5990861800 6072928400 6319128200 6333196760 6405691600 6589947980 6680221240 6966516436 7052878210 7624733200 7758166031 7916495950 8060432240 8237434975 8350276550 8387206520 8502099760 8708145545 8866475464 9225927172 9352309736 9414211400 9543173200 10075540300 10484008150 10627624700 11083094330 11284605136 11532408965 11690387170 11981723600 12191403763 12638256400 12666393520 13179895960 13360442480 13933032872 14105756420 15516332062 15832991900 16474869950 16700553100 16774413040 17416291090 17632195525 17732950928 18451854344 18704619472 18828422800 20151080600 20968016300 21255249400 22166188660 23064817930 23380774340 24382807526 26359791920 27707735825 27866065744 28211512840 29225967925 31032664124 31665983800 32949739900 33401106200 34832582180 35264391050 36903708688 38790830155 40302161200 41936032600 42510498800 43540727725 44332377320 46129635860 46761548680 48765615052 55415471650 56423025680 57662044825 58451935850 60957018815 62065328248 63331967600 65899479800 66802212400 69665164360 70528782100 77581660310 83872065200 85339826341 87081455450 88664754640 92259271720 93523097360 97531230104 110830943300 115324089650 116903871700 121914037630 124130656496 131798959600 139330328720 141057564200 155163320620 170679652682 174162910900 184518543440 193954150775 195062460208 221661886600 230648179300 233807743400 243828075260 282115128400 304785094075 310326641240 341359305364 348325821800 387908301550 426699131705 443323773200 461296358600 467615486800 487656150520 609570188150 620653282480 682718610728 696651643600 775816603100 853398263410 922592717200 975312301040 1219140376300 1365437221456 1551633206200 1706796526820 2133495658525 2438280752600 3103266412400 3413593053640 4266991317050 4876561505200 6827186107280 8533982634100 17067965268200 34135930536400
- Sum of all divisors σ(n): 109192399494360
- Sum of proper divisors (its aliquot sum) s(n): 75056468957960
- 34135930536400 is an abundant number, because the sum of its proper divisors (75056468957960) is greater than itself. Its abundance is 40920538421560
Bases of 34135930536400
- Binary: 1111100001011111001000000001110000001110100002
- Hexadecimal: 0x1F0BE40381D0
- Base-36: C3LTVOEDS
Squares and roots of 34135930536400
- 34135930536400 squared (341359305364002) is 1165261753585925991724960000
- 34135930536400 cubed (341359305364003) is 39777294277132823262194515774068544000000
-
The
square root of 34135930536400 is 5842596.2154165677 -
The
cube root of 34135930536400 is 32439.2333676953
Scales and comparisons
How big is 34135930536400?- 34,135,930,536,400 seconds is equal to 1,085,417 years, 14 hours, 46 minutes, 40 seconds.
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To count from 1 to 34,135,930,536,400 would take you about two million, seven hundred thirteen thousand, five hundred forty-two 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 34135930536400 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34135930536400
- 34135930536400 backwards is 00463503953143
- The number of decimal digits it has is: 14
- The sum of 34135930536400's digits is 46
- More coming soon!
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The information we have on file for 34135930536400 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 34135930536400, math, Factors of 34135930536400, curriculum, school, college, exams, university, Prime factorization of 34135930536400, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, one hundred thirty-five billion, nine hundred thirty million, five hundred thirty-six thousand, four hundred.