34328007511638016
34,328,007,511,638,016 is an even composite number composed of five prime numbers multiplied together.
What does the number 34328007511638016 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1026 divisors.
34328007511638016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-six divisors.
Prime factorization of 34328007511638016:
218 × 112 × 232 × 109 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 23 × 23 × 109 × 137 × 137)See below for interesting mathematical facts about the number 34328007511638016 from the Numbermatics database.
Names of 34328007511638016
- Cardinal: 34328007511638016 can be written as Thirty-four quadrillion, three hundred twenty-eight trillion, seven billion, five hundred eleven million, six hundred thirty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 3.4328007511638016 × 1016
Factors of 34328007511638016
Divisors of 34328007511638016
- Number of divisors d(n): 1026
-
Complete list of divisors:
1 2 4 8 11 16 22 23 32 44 46 64 88 92 109 121 128 137 176 184 218 242 253 256 274 352 368 436 484 506 512 529 548 704 736 872 968 1012 1024 1058 1096 1199 1408 1472 1507 1744 1936 2024 2048 2116 2192 2398 2507 2783 2816 2944 3014 3151 3488 3872 4048 4096 4232 4384 4796 5014 5566 5632 5819 5888 6028 6302 6976 7744 8096 8192 8464 8768 9592 10028 11132 11264 11638 11776 12056 12604 13189 13952 14933 15488 16192 16384 16577 16928 17536 18769 19184 20056 22264 22528 23276 23552 24112 25208 26378 27577 27904 29866 30976 32384 32768 33154 33856 34661 35072 37538 38368 40112 44528 45056 46552 47104 48224 50416 52756 55154 55808 57661 59732 61952 64009 64768 65536 66308 67712 69322 70144 72473 75076 76736 80224 89056 90112 93104 94208 96448 100832 105512 110308 111616 115322 119464 123904 128018 129536 131072 132616 135424 138644 140288 144946 150152 153472 160448 164263 178112 180224 186208 188416 192896 201664 206459 211024 220616 223232 230644 238928 247808 256036 259072 262144 265232 270848 277288 280576 289892 300304 303347 306944 320896 328526 343459 356224 360448 372416 376832 381271 385792 403328 412918 422048 431687 441232 446464 461288 477856 495616 512072 518144 530464 541696 554576 561152 579784 600608 606694 613888 634271 641792 657052 686918 712448 720896 744832 753664 762542 771584 797203 806656 825836 844096 863374 882464 892928 922576 955712 991232 1024144 1036288 1060928 1083392 1109152 1122304 1159568 1201216 1213388 1227776 1268542 1283584 1314104 1373836 1424896 1441792 1489664 1507328 1525084 1543168 1594406 1613312 1651672 1688192 1726748 1764928 1785856 1806893 1845152 1911424 1982464 2045821 2048288 2072576 2121856 2166784 2218304 2244608 2271049 2319136 2402432 2426776 2455552 2537084 2567168 2628208 2747672 2849792 2883584 2979328 3014656 3050168 3086336 3188812 3226624 3303344 3376384 3453496 3529856 3571712 3613786 3690304 3778049 3822848 3964928 4091642 4096576 4145152 4243712 4333568 4436608 4489216 4542098 4638272 4748557 4804864 4853552 4911104 5074168 5134336 5256416 5495344 5699584 5958656 6029312 6100336 6172672 6377624 6453248 6606688 6752768 6906992 6976981 7059712 7143424 7227572 7380608 7556098 7645696 7899557 7929856 8183284 8193152 8290304 8487424 8667136 8769233 8873216 8978432 9084196 9276544 9497114 9609728 9707104 9822208 9928801 10148336 10268672 10512832 10990688 11399168 11917312 12200672 12345344 12755248 12906496 13213376 13505536 13813984 13953962 14119424 14286848 14455144 14761216 15112196 15291392 15799114 15859712 16366568 16386304 16580608 16974848 17334272 17538466 17746432 17956864 18168392 18553088 18994228 19219456 19414208 19644416 19857602 20296672 20537344 21025664 21981376 22504031 22798336 23834624 24401344 24690688 25510496 25812992 26426752 27011072 27627968 27907924 28238848 28573696 28910288 29522432 30224392 30582784 31598228 31719424 32733136 32772608 33161216 33949696 34668544 35076932 35492864 35913728 36336784 37106176 37988456 38438912 38828416 39288832 39715204 40593344 41074688 41558539 42051328 43962752 45008062 45596672 47053883 47669248 48802688 49381376 51020992 51625984 52234127 52853504 54022144 55255936 55815848 56477696 57820576 59044864 60448784 61165568 63196456 65466272 65545216 66322432 67899392 69337088 70153864 70985728 72673568 74212352 75976912 76877824 77656832 78577664 79430408 81186688 82149376 83117078 84102656 86895127 87925504 90016124 91193344 94107766 95338496 97605376 98762752 102041984 103251968 104468254 105707008 108044288 109216811 110511872 111631696 112955392 115641152 118089728 120897568 122331136 126392912 130932544 131090432 135798784 138674176 140307728 141971456 145347136 148424704 151953824 153755648 155313664 157155328 158860816 162373376 164298752 166234156 168205312 173790254 175851008 180032248 182386688 188215532 190676992 195210752 197525504 204083968 206503936 208936508 211414016 216088576 218433622 221023744 223263392 225910784 231282304 236179456 241795136 244662272 247544341 252785824 261865088 262180864 271597568 280615456 283942912 290694272 296849408 303907648 307511296 310627328 314310656 317721632 324746752 328597504 332468312 336410624 347580508 351702016 360064496 364773376 376431064 381353984 390421504 395051008 408167936 413007872 417873016 422828032 432177152 436867244 442047488 446526784 451821568 462564608 472358912 483590272 489324544 495088682 505571648 517592713 523730176 524361728 543195136 561230912 567885824 581388544 593698816 607815296 615022592 621254656 635443264 649493504 657195008 664936624 672821248 695161016 703404032 720128992 729546752 752862128 762707968 780843008 816335872 826015744 835746032 845656064 864354304 873734488 884094976 893053568 903643136 925129216 944717824 955846397 967180544 978649088 990177364 1011143296 1035185426 1047460352 1048723456 1082239309 1086390272 1122461824 1135771648 1162777088 1187397632 1201384921 1215630592 1230045184 1242509312 1270886528 1298987008 1329873248 1345642496 1390322032 1406808064 1440257984 1505724256 1525415936 1561686016 1632671744 1671492064 1691312128 1728708608 1747468976 1768189952 1786107136 1807286272 1850258432 1889435648 1911692794 1934361088 1957298176 1980354728 2022286592 2070370852 2094920704 2097446912 2164478618 2172780544 2244923648 2271543296 2325554176 2374795264 2402769842 2431261184 2460090368 2485018624 2541773056 2597974016 2659746496 2691284992 2780644064 2813616128 2880515968 3011448512 3123372032 3265343488 3342984128 3382624256 3457417216 3494937952 3536379904 3572214272 3614572544 3700516864 3778871296 3823385588 3868722176 3914596352 3960709456 4044573184 4140741704 4189841408 4194893824 4328957236 4345561088 4489847296 4543086592 4651108352 4749590528 4805539684 4862522368 4920180736 4970037248 5083546112 5195948032 5319492992 5382569984 5561288128 5627232256 5693519843 5761031936 6022897024 6246744064 6530686976 6685968256 6765248512 6989875904 7072759808 7144428544 7229145088 7401033728 7557742592 7646771176 7737444352 7921418912 8089146368 8281483408 8379682816 8389787648 8657914472 8979694592 9086173184 9302216704 9499181056 9611079368 9725044736 9940074496 10167092224 10391896064 10638985984 10765139968 11122576256 11254464512 11387039686 11522063872 11904632399 12045794048 12493488128 13061373952 13371936512 13530497024 13979751808 14145519616 14288857088 14802067456 15115485184 15293542352 15474888704 15842837824 16178292736 16562966816 16759365632 16779575296 17315828944 17959389184 18604433408 18998362112 19222158736 19450089472 19880148992 20334184448 20783792128 21277971968 21530279936 22245152512 22508929024 22774079372 23044127744 23809264798 24091588096 24986976256 26122747904 26743873024 27060994048 27959503616 28291039232 28577714176 29604134912 30587084704 30949777408 31685675648 32356585472 33125933632 33518731264 34631657888 35918778368 37208866816 38444317472 38900178944 39760297984 40668368896 41567584256 42555943936 43060559872 44490305024 45017858048 45548158744 46088255488 47618529596 48183176192 49973952512 52245495808 53487746048 54121988096 55919007232 56582078464 57155428352 59208269824 61174169408 61899554816 63371351296 64713170944 66251867264 67037462528 69263315776 71837556736 74417733632 76888634944 77800357888 79520595968 81336737792 83135168512 85111887872 88980610048 90035716096 91096317488 92176510976 95237059192 96366352384 99947905024 104490991616 106975492096 111838014464 113164156928 114310856704 118416539648 122348338816 123799109632 126742702592 129426341888 130950956389 132503734528 134074925056 138526631552 143675113472 148835467264 153777269888 155600715776 162673475584 166270337024 170223775744 177961220096 182192634976 184353021952 190474118384 192732704768 208981983232 213950984192 223676028928 228621713408 236833079296 244696677632 247598219264 253485405184 258852683776 261901912778 265007469056 268149850112 277053263104 287350226944 297670934528 307554539776 311201431552 325346951168 340447551488 355922440192 364385269952 368706043904 380948236768 385465409536 427901968384 447352057856 457243426816 473666158592 489393355264 495196438528 506970810368 517705367552 523803825556 530014938112 536299700224 554106526208 574700453888 595341869056 615109079552 622402863104 650693902336 680895102976 711844880384 728770539904 737412087808 761896473536 770930819072 855803936768 894704115712 914486853632 978786710528 990392877056 1013941620736 1035410735104 1047607651112 1060029876224 1108213052416 1149400907776 1230218159104 1244805726208 1301387804672 1361790205952 1423689760768 1457541079808 1474824175616 1523792947072 1541861638144 1711607873536 1789408231424 1828973707264 1957573421056 2027883241472 2070821470208 2095215302224 2120059752448 2216426104832 2298801815552 2460436318208 2602775609344 2723580411904 2847379521536 2915082159616 2949648351232 3047585894144 3083723276288 3423215747072 3578816462848 3915146842112 4055766482944 4190430604448 4240119504896 4432852209664 4920872636416 5447160823808 5694759043072 5830164319232 5899296702464 6095171788288 6167446552576 6846431494144 7157632925696 7830293684224 8111532965888 8380861208896 8480239009792 8865704419328 9841745272832 10894321647616 11389518086144 11660328638464 12190343576576 12334893105152 13692862988288 14315265851392 15660587368448 16223065931776 16761722417792 16960478019584 17731408838656 19683490545664 22779036172288 23320657276928 24380687153152 28630531702784 31321174736896 32446131863552 33523444835584 33920956039168 35462817677312 39366981091328 46641314553856 48761374306304 62642349473792 64892263727104 67046889671168 67841912078336 70925635354624 78733962182656 93282629107712 97522748612608 125284698947584 134093779342336 135683824156672 141851270709248 157467924365312 186565258215424 195045497225216 250569397895168 268187558684672 283702541418496 314935848730624 373130516430848 390090994450432 536375117369344 746261032861696 780181988900864 1072750234738688 1492522065723392 1560363977801728 2145500469477376 3120727955603456 4291000938954752 8582001877909504 17164003755819008 34328007511638016
- Sum of all divisors σ(n): 80197562910590510
- Sum of proper divisors (its aliquot sum) s(n): 45869555398952494
- 34328007511638016 is an abundant number, because the sum of its proper divisors (45869555398952494) is greater than itself. Its abundance is 11541547887314478
Bases of 34328007511638016
- Binary: 11110011111010100100100000101011001010000000000000000002
- Hexadecimal: 0x79F52415940000
- Base-36: 9E09GXXJGN4
Squares and roots of 34328007511638016
- 34328007511638016 squared (343280075116380162) is 1178412099719076051201683416416256
- 34328007511638016 cubed (343280075116380163) is 40452539410961569449845974920464869917107049988096
-
The
square root of 34328007511638016 is 185278189.5195384729 -
The
cube root of 34328007511638016 is 324999.6292276259
Scales and comparisons
How big is 34328007511638016?- 34,328,007,511,638,016 seconds is equal to 1,091,524,455 years, 19 weeks, 2 days, 1 hour, 40 minutes, 16 seconds.
-
To count from 1 to 34,328,007,511,638,016 would take you about three billion, two hundred seventy-four million, five hundred seventy-three thousand, three hundred sixty-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 34328007511638016 cubic inches would be around 27083.3 feet tall.
Recreational maths with 34328007511638016
- 34328007511638016 backwards is 61083611570082343
- The number of decimal digits it has is: 17
- The sum of 34328007511638016's digits is 58
- More coming soon!
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The information we have on file for 34328007511638016 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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