13435142869094400
13,435,142,869,094,400 is an even composite number composed of six prime numbers multiplied together.
13435142869094400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 13435142869094400:
212 × 32 × 52 × 2311 × 2467 × 2557
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 2311 × 2467 × 2557)See below for interesting mathematical facts about the number 13435142869094400 from the Numbermatics database.
Names of 13435142869094400
- Cardinal: 13435142869094400 can be written as Thirteen quadrillion, four hundred thirty-five trillion, one hundred forty-two billion, eight hundred sixty-nine million, ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.34351428690944 × 1016
Factors of 13435142869094400
Divisors of 13435142869094400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1024 1152 1200 1280 1440 1536 1600 1800 1920 2048 2304 2311 2400 2467 2557 2560 2880 3072 3200 3600 3840 4096 4608 4622 4800 4934 5114 5120 5760 6144 6400 6933 7200 7401 7671 7680 9216 9244 9600 9868 10228 10240 11520 11555 12288 12335 12785 12800 13866 14400 14802 15342 15360 18432 18488 19200 19736 20456 20480 20799 22203 23013 23040 23110 24670 25570 25600 27732 28800 29604 30684 30720 34665 36864 36976 37005 38355 38400 39472 40912 41598 44406 46026 46080 46220 49340 51140 51200 55464 57600 57775 59208 61368 61440 61675 63925 69330 73952 74010 76710 76800 78944 81824 83196 88812 92052 92160 92440 98680 102280 102400 103995 110928 111015 115065 115200 115550 118416 122736 123350 127850 138660 147904 148020 153420 153600 157888 163648 166392 173325 177624 184104 184320 184880 185025 191775 197360 204560 207990 221856 222030 230130 230400 231100 236832 245472 246700 255700 277320 295808 296040 306840 307200 315776 327296 332784 346650 355248 368208 369760 370050 383550 394720 409120 415980 443712 444060 460260 460800 462200 473664 490944 493400 511400 519975 554640 555075 575325 591616 592080 613680 631552 654592 665568 693300 710496 736416 739520 740100 767100 789440 818240 831960 887424 888120 920520 921600 924400 947328 981888 986800 1022800 1039950 1109280 1110150 1150650 1183232 1184160 1227360 1263104 1309184 1331136 1386600 1420992 1472832 1479040 1480200 1534200 1578880 1636480 1663920 1774848 1776240 1841040 1848800 1894656 1963776 1973600 2045600 2079900 2218560 2220300 2301300 2366464 2368320 2454720 2526208 2618368 2662272 2773200 2841984 2945664 2958080 2960400 3068400 3157760 3272960 3327840 3549696 3552480 3682080 3697600 3789312 3927552 3947200 4091200 4159800 4437120 4440600 4602600 4732928 4736640 4909440 5052416 5236736 5324544 5546400 5683968 5701237 5891328 5909227 5916160 5920800 6136800 6308119 6315520 6545920 6655680 7099392 7104960 7364160 7395200 7578624 7855104 7894400 8182400 8319600 8874240 8881200 9205200 9465856 9473280 9818880 10104832 10473472 10649088 11092800 11367936 11402474 11782656 11818454 11832320 11841600 12273600 12616238 12631040 13091840 13311360 14198784 14209920 14728320 14790400 15157248 15710208 15788800 16364800 16639200 17103711 17727681 17748480 17762400 18410400 18924357 18946560 19637760 21298176 22185600 22735872 22804948 23565312 23636908 23664640 23683200 24547200 25232476 25262080 26183680 26622720 28397568 28419840 28506185 29456640 29546135 29580800 30314496 31420416 31540595 31577600 32729600 33278400 34207422 35455362 35496960 35524800 36820800 37848714 37893120 39275520 42596352 44371200 45471744 45609896 47130624 47273816 47329280 47366400 49094400 50464952 50524160 51311133 52367360 53183043 53245440 56773071 56839680 57012370 58913280 59092270 59161600 63081190 63155200 65459200 66556800 68414844 70910724 70993920 71049600 73641600 75697428 75786240 78551040 85192704 85518555 88638405 88742400 90943488 91219792 94261248 94547632 94621785 94732800 98188800 100929904 102622266 106366086 106490880 113546142 113679360 114024740 117826560 118184540 118323200 126162380 126310400 130918400 133113600 136829688 141821448 141987840 142099200 142530925 147283200 147730675 151394856 151572480 157102080 157702975 171037110 177276810 177484800 182439584 189095264 189243570 189465600 196377600 201859808 205244532 212732172 212981760 227092284 227358720 228049480 235653120 236369080 236646400 252324760 252620800 256555665 261836800 265915215 266227200 273659376 283642896 283865355 284198400 285061850 294566400 295461350 302789712 315405950 342074220 354553620 354969600 364879168 378190528 378487140 378931200 392755200 403719616 410489064 425464344 425963520 427592775 443192025 454184568 454717440 456098960 471306240 472738160 473108925 504649520 513111330 531830430 532454400 547318752 567285792 567730710 568396800 570123700 589132800 590922700 605579424 630811900 684148440 709107240 709939200 729758336 756381056 756974280 757862400 785510400 807439232 820978128 850928688 855185550 886384050 908369136 912197920 945476320 946217850 1009299040 1026222660 1063660860 1064908800 1094637504 1134571584 1135461420 1136793600 1140247400 1178265600 1181845400 1211158848 1261623800 1282778325 1329576075 1368296880 1418214480 1419326775 1459516672 1512762112 1513948560 1614878464 1641956256 1701857376 1710371100 1772768100 1816738272 1824395840 1890952640 1892435700 2018598080 2052445320 2127321720 2129817600 2189275008 2269143168 2270922840 2273587200 2280494800 2356531200 2363690800 2422317696 2523247600 2565556650 2659152150 2736593760 2836428960 2838653550 2919033344 3025524224 3027897120 3229756928 3283912512 3403714752 3420742200 3545536200 3633476544 3648791680 3781905280 3784871400 4037196160 4104890640 4254643440 4378550016 4538286336 4541845680 4560989600 4727381600 4844635392 5046495200 5131113300 5318304300 5473187520 5672857920 5677307100 5838066688 6051048448 6055794240 6459513856 6567825024 6807429504 6841484400 7091072400 7266953088 7297583360 7563810560 7569742800 8074392320 8209781280 8509286880 8757100032 9076572672 9083691360 9121979200 9454763200 9689270784 10092990400 10262226600 10636608600 10946375040 11345715840 11354614200 11676133376 12102096896 12111588480 12919027712 13135650048 13614859008 13682968800 14182144800 14533906176 14578063009 14595166720 15127621120 15139485600 16148784640 16419562560 17018573760 17514200064 18153145344 18167382720 18243958400 18909526400 19378541568 20185980800 20524453200 21273217200 21892750080 22691431680 22709228400 23352266752 24204193792 24223176960 25838055424 26271300096 27229718016 27365937600 28364289600 29067812352 29156126018 29190333440 30255242240 30278971200 32297569280 32839125120 34037147520 35028400128 36306290688 36334765440 36487916800 37819052800 38757083136 40371961600 41048906400 42546434400 43734189027 43785500160 45382863360 45418456800 48446353920 52542600192 54459436032 54731875200 56728579200 58135624704 58312252036 58380666880 60510484480 60557942400 64595138560 65678250240 68074295040 70056800256 72612581376 72669530880 72890315045 72975833600 75638105600 77514166272 80743923200 82097812800 85092868800 87468378054 87571000320 90765726720 90836913600 96892707840 105085200384 108918872064 109463750400 113457158400 116271249408 116624504072 116761333760 121020968960 121115884800 129190277120 131202567081 131356500480 136148590080 145339061760 145780630090 145951667200 151276211200 161487846400 164195625600 170185737600 174936756108 175142000640 181531453440 181673827200 193785415680 210170400768 217837744128 218670945135 218927500800 226914316800 232542498816 233249008144 242231769600 262405134162 262713000960 272297180160 290678123520 291561260180 291903334400 302552422400 322975692800 328391251200 340371475200 349873512216 350284001280 363062906880 363347654400 364451575225 387570831360 437341890270 437855001600 453828633600 466498016288 484463539200 524810268324 525426001920 544594360320 581356247040 583122520360 583806668800 605104844800 645951385600 656012835405 656782502400 680742950400 699747024432 726695308800 728903150450 874683780540 875710003200 907657267200 932996032576 968927078400 1049620536648 1050852003840 1089188720640 1093354725675 1162712494080 1166245040720 1312025670810 1313565004800 1361485900800 1399494048864 1453390617600 1457806300900 1749367561080 1751420006400 1815314534400 1865992065152 1937854156800 2099241073296 2186709451350 2332490081440 2624051341620 2627130009600 2722971801600 2798988097728 2906781235200 2915612601800 3280064177025 3498735122160 3731984130304 4198482146592 4373418902700 4664980162880 5248102683240 5254260019200 5445943603200 5597976195456 5813562470400 5831225203600 6560128354050 6997470244320 7463968260608 8396964293184 8746837805400 9329960325760 10496205366480 11195952390912 11662450407200 13120256708100 13994940488640 14927936521216 16793928586368 17493675610800 18659920651520 20992410732960 22391904781824 23324900814400 26240513416200 27989880977280 29855873042432 33587857172736 34987351221600 37319841303040 41984821465920 44783809563648 46649801628800 52481026832400 55979761954560 59711746084864 67175714345472 69974702443200 74639682606080 83969642931840 89567619127296 93299603257600 104962053664800 111959523909120 134351428690944 139949404886400 149279365212160 167939285863680 179135238254592 186599206515200 209924107329600 223919047818240 268702857381888 279898809772800 298558730424320 335878571727360 373198413030400 419848214659200 447838095636480 537405714763776 559797619545600 671757143454720 746396826060800 839696429318400 895676191272960 1119595239091200 1343514286909440 1492793652121600 1679392858636800 2239190478182400 2687028573818880 3358785717273600 4478380956364800 6717571434547200 13435142869094400
- Sum of all divisors σ(n): 48180965359626944
- Sum of proper divisors (its aliquot sum) s(n): 34745822490532544
- 13435142869094400 is an abundant number, because the sum of its proper divisors (34745822490532544) is greater than itself. Its abundance is 21310679621438144
Bases of 13435142869094400
- Binary: 1011111011101100110000111101100011100000010000000000002
- Hexadecimal: 0x2FBB30F6381000
- Base-36: 3OACZFF5DS0
Squares and roots of 13435142869094400
- 13435142869094400 squared (134351428690944002) is 180503063912978106134676111360000
- 13435142869094400 cubed (134351428690944003) is 2425084451980138528421804044382067316752384000000
-
The
square root of 13435142869094400 is 115910063.7093017907 -
The
cube root of 13435142869094400 is 237728.2333827707
Scales and comparisons
How big is 13435142869094400?- 13,435,142,869,094,400 seconds is equal to 427,195,985 years, 31 weeks, 5 days, 16 hours.
-
To count from 1 to 13,435,142,869,094,400 would take you about one billion, two hundred eighty-one million, five hundred eighty-seven thousand, nine hundred fifty-six 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 13435142869094400 cubic inches would be around 19810.7 feet tall.
Recreational maths with 13435142869094400
- 13435142869094400 backwards is 00449096824153431
- The number of decimal digits it has is: 17
- The sum of 13435142869094400's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13435142869094400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 13435142869094400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13435142869094400/
Chicago style:
Numbermatics. 2024. "Number 13435142869094400 - Facts about the integer". https://numbermatics.com/n/13435142869094400/
The information we have on file for 13435142869094400 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 13435142869094400, math, Factors of 13435142869094400, curriculum, school, college, exams, university, Prime factorization of 13435142869094400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, four hundred thirty-five trillion, one hundred forty-two billion, eight hundred sixty-nine million, ninety-four thousand, four hundred.