135878344325686400
135,878,344,325,686,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 135878344325686400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
135878344325686400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135878344325686400:
27 × 52 × 232 × 292 × 4573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 23 × 23 × 29 × 29 × 457 × 457 × 457)See below for interesting mathematical facts about the number 135878344325686400 from the Numbermatics database.
Names of 135878344325686400
- Cardinal: 135878344325686400 can be written as One hundred thirty-five quadrillion, eight hundred seventy-eight trillion, three hundred forty-four billion, three hundred twenty-five million, six hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.358783443256864 × 1017
Factors of 135878344325686400
Divisors of 135878344325686400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 29 32 40 46 50 58 64 80 92 100 115 116 128 145 160 184 200 230 232 290 320 368 400 457 460 464 529 575 580 640 667 725 736 800 841 914 920 928 1058 1150 1160 1334 1450 1472 1600 1682 1828 1840 1856 2116 2285 2300 2320 2645 2668 2900 2944 3200 3335 3364 3656 3680 3712 4205 4232 4570 4600 4640 5290 5336 5800 6670 6728 7312 7360 8410 8464 9140 9200 9280 10511 10580 10672 11425 11600 13225 13253 13340 13456 14624 14720 15341 16675 16820 16928 18280 18400 18560 19343 21022 21025 21160 21344 22850 23200 26450 26506 26680 26912 29248 30682 33350 33640 33856 36560 36800 38686 42044 42050 42320 42688 45700 46400 52555 52900 53012 53360 53824 58496 61364 66265 66700 67280 67712 73120 73600 76705 77372 84088 84100 84640 85376 91400 92800 96715 105110 105800 106024 106720 107648 122728 132530 133400 134560 146240 153410 154744 168176 168200 169280 182800 193430 208849 210220 211600 212048 213440 241753 245456 262775 265060 266800 269120 292480 304819 306820 309488 331325 336352 336400 338560 365600 383525 384337 386860 417698 420440 423200 424096 426880 444889 483506 483575 490912 525550 530120 533600 538240 609638 613640 618976 662650 672704 672800 731200 767050 768674 773720 835396 840880 846400 848192 889778 967012 967150 981824 1044245 1051100 1060240 1067200 1208765 1219276 1227280 1237952 1325300 1345408 1345600 1462400 1524095 1534100 1537348 1547440 1670792 1681760 1692800 1696384 1779556 1921685 1934024 1934300 1963648 2088490 2102200 2120480 2134400 2224445 2417530 2438552 2454560 2475904 2650600 2691200 3048190 3068200 3074696 3094880 3341584 3363520 3559112 3843370 3868048 3868600 4176980 4204400 4240960 4448890 4803527 4835060 4877104 4909120 5221225 5301200 6043825 6056621 6096380 6136400 6149392 6189760 6683168 6727040 7010837 7118224 7620475 7686740 7736096 7737200 8353960 8408800 8481920 8839751 8897780 9607054 9608425 9670120 9754208 9818240 10442450 10602400 11122225 12087650 12113242 12192760 12272800 12298784 12379520 13366336 14021674 14236448 15240950 15373480 15472192 15474400 16707920 16817600 17679502 17795560 19214108 19216850 19340240 19508416 20884900 21204800 22244450 24017635 24175300 24226484 24385520 24545600 24597568 26732672 28043348 28472896 30283105 30481900 30746960 30944384 30948800 33415840 33635200 35054185 35359004 35591120 38428216 38433700 38680480 39016832 41769800 42409600 44198755 44488900 48035270 48350600 48452968 48771040 49091200 49195136 56086696 56945792 60566210 60963800 61493920 61897600 66831680 70108370 70718008 71182240 76856432 76867400 77360960 83539600 88397510 88977800 95443993 96070540 96701200 96905936 97542080 110481121 112173392 120088175 121132420 121927600 122987840 133663360 139302283 140216740 141436016 142364480 151415525 153712864 153734800 154721920 167079200 175270925 175642009 176795020 177955600 190887986 192141080 193402400 193811872 195084160 203314273 220962242 220993775 224346784 240176350 242264840 243855200 245975680 278604566 280433480 282872032 284728960 302831050 307425728 307469600 334158400 350541850 351284018 353590040 355911200 381775972 384282160 386804800 387623744 406628546 441924484 441987550 448693568 477219965 480352700 484529680 487710400 552405605 557209132 560866960 565744064 605662100 614851456 614939200 668316800 696511415 701083700 702568036 707180080 711822400 763551944 768564320 773609600 775247488 813257092 878210045 883848968 883975100 897387136 954439930 960705400 969059360 975420800 1016571365 1104811210 1114418264 1121733920 1131488128 1211324200 1229878400 1393022830 1402167400 1405136072 1414360160 1423644800 1527103888 1537128640 1626514184 1756420090 1767697936 1767950200 1908879860 1921410800 1938118720 2033142730 2195211839 2209622420 2228836528 2243467840 2386099825 2422648400 2762028025 2767875797 2786045660 2804334800 2810272144 2828720320 3054207776 3074257280 3203952509 3253028368 3482557075 3512840180 3535395872 3535900400 3817759720 3842821600 3876237440 4039766207 4066285460 4390423678 4391050225 4419244840 4457673056 4486935680 4772199650 4845296800 5082856825 5524056050 5535751594 5572091320 5608669600 5620544288 5657440640 6108415552 6407905018 6506056736 6965114150 7025680360 7070791744 7071800800 7635519440 7685643200 8079532414 8132570920 8780847356 8782100450 8838489680 8915346112 9544399300 9690593600 10165713650 10976059195 11048112100 11071503188 11144182640 11217339200 11241088576 12216831104 12815810036 13012113472 13839378985 13930228300 14051360720 14141583488 14143601600 15271038880 15371286400 16019762545 16159064828 16265141840 17561694712 17564200900 17676979360 17830692224 19088798600 19381187200 20198831035 20331427300 21952118390 22096224200 22143006376 22288365280 22434678400 22482177152 25631620072 26024226944 27678757970 27860456600 28102721440 28287203200 30542077760 32039525090 32318129656 32530283680 35123389424 35128401800 35353958720 38177597200 40397662070 40662854600 43904236780 44192448400 44286012752 44576730560 50489872297 51263240144 54880295975 55357515940 55720913200 56205442880 61084155520 63661143331 64079050180 64636259312 65060567360 69196894925 70246778848 70256803600 70707917440 76355194400 80098812725 80268398113 80795324140 81325709200 87808473560 88384896800 88572025504 89153461120 92914622761 100979744594 100994155175 102526480288 109760591950 110715031880 111441826400 112410885760 127322286662 128158100360 129272518624 130121134720 138393789850 140493557696 140513607200 152710388800 160197625450 160536796226 161590648280 162651418400 175616947120 176769793600 177144051008 185829245522 201959489188 201988310350 205052960576 219521183900 221430063760 222883652800 252449361485 254644573324 256316200720 258545037248 276787579700 280987115392 281027214400 305420777600 318305716655 320395250900 321073592452 323181296560 325302836800 351233894240 353539587200 354288102016 371658491044 401341990565 403918978376 403976620700 410105921152 439042367800 442860127520 445767305600 464573113805 504898722970 509289146648 512632401440 517090074496 553575159400 562054428800 636611433310 640790501800 642147184904 646362593120 650605673600 702467788480 743316982088 802683981130 807837956752 807953241400 878084735600 885720255040 929146227610 1009797445940 1018578293296 1025264802880 1107150318800 1262246807425 1273222866620 1281581003600 1284294369808 1292725186240 1404935576960 1464206296613 1486633964176 1591528583275 1605367962260 1615675913504 1615906482800 1756169471200 1771440510080 1846173156599 1858292455220 2006709952825 2019594891880 2037156586592 2050529605760 2214300637600 2322865569025 2524493614850 2546445733240 2563162007200 2568588739616 2585450372480 2928412593226 2973267928352 3183057166550 3210735924520 3231351827008 3231812965600 3512338942400 3692346313198 3716584910440 4013419905650 4039189783760 4074313173184 4428601275200 4645731138050 5048987229700 5092891466480 5126324014400 5137177479232 5856825186452 5946535856704 6366114333100 6421471849040 6462703654016 6463625931200 7024677884800 7321031483065 7384692626396 7433169820880 8026839811300 8078379567520 8148626346368 8857202550400 9230865782995 9291462276100 10097974459400 10185782932960 10252648028800 10274354958464 11713650372904 11893071713408 12732228666200 12842943698080 12927251862400 14642062966130 14769385252792 14866339641760 16053679622600 16156759135040 18461731565990 18582924552200 20195948918800 20371565865920 23427300745808 25464457332400 25685887396160 29284125932260 29538770505584 29732679283520 32107359245200 32313518270080 36605157415325 36923463131980 37165849104400 40391897837600 40743131731840 42461982601777 46154328914975 46854601491616 50928914664800 51371774792320 58568251864520 59077541011168 59465358567040 64214718490400 73210314830650 73846926263960 74331698208800 80783795675200 84923965203554 92308657829950 93709202983232 101857829329600 117136503729040 118155082022336 128429436980800 146420629661300 147693852527920 148663396417600 161567591350400 169847930407108 184617315659900 187418405966464 203715658659200 212309913008885 234273007458080 236310164044672 256858873961600 292841259322600 295387705055840 297326792835200 339695860814216 369234631319800 424619826017770 468546014916160 585682518645200 590775410111680 679391721628432 738469262639600 849239652035540 937092029832320 1061549565044425 1171365037290400 1181550820223360 1358783443256864 1476938525279200 1698479304071080 2123099130088850 2342730074580800 2717566886513728 2953877050558400 3396958608142160 4246198260177700 4685460149161600 5435133773027456 5907754101116800 6793917216284320 8492396520355400 13587834432568640 16984793040710800 27175668865137280 33969586081421600 67939172162843200 135878344325686400
- Sum of all divisors σ(n): 364204341236599500
- Sum of proper divisors (its aliquot sum) s(n): 228325996910913100
- 135878344325686400 is an abundant number, because the sum of its proper divisors (228325996910913100) is greater than itself. Its abundance is 92447652585226700
Bases of 135878344325686400
- Binary: 1111000101011110010100010010111100011001101100100100000002
- Hexadecimal: 0x1E2BCA25E336480
- Base-36: 115WUPN4ML4W
Squares and roots of 135878344325686400
- 135878344325686400 squared (1358783443256864002) is 18462924456689793496714831144960000
- 135878344325686400 cubed (1358783443256864003) is 2508711606585232261806835456905253928449900544000000
-
The
square root of 135878344325686400 is 368616798.7567663743 -
The
cube root of 135878344325686400 is 514102.9336636221
Scales and comparisons
How big is 135878344325686400?- 135,878,344,325,686,400 seconds is equal to 4,320,511,050 years, 12 weeks, 4 days, 53 minutes, 20 seconds.
-
To count from 1 to 135,878,344,325,686,400 would take you about twelve billion, nine hundred sixty-one million, five hundred thirty-three thousand, one hundred fifty 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 135878344325686400 cubic inches would be around 42841.9 feet tall.
Recreational maths with 135878344325686400
- 135878344325686400 backwards is 004686523443878531
- The number of decimal digits it has is: 18
- The sum of 135878344325686400's digits is 77
- More coming soon!
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The information we have on file for 135878344325686400 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 135878344325686400, math, Factors of 135878344325686400, curriculum, school, college, exams, university, Prime factorization of 135878344325686400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, eight hundred seventy-eight trillion, three hundred forty-four billion, three hundred twenty-five million, six hundred eighty-six thousand, four hundred.