34138761020000
34,138,761,020,000 is an even composite number composed of six prime numbers multiplied together.
34138761020000 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 34138761020000:
25 × 54 × 7 × 13 × 612 × 712
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 13 × 61 × 61 × 71 × 71)See below for interesting mathematical facts about the number 34138761020000 from the Numbermatics database.
Names of 34138761020000
- Cardinal: 34138761020000 can be written as Thirty-four trillion, one hundred thirty-eight billion, seven hundred sixty-one million, twenty thousand.
Scientific notation
- Scientific notation: 3.413876102 × 1013
Factors of 34138761020000
Divisors of 34138761020000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 61 65 70 71 80 91 100 104 112 122 125 130 140 142 160 175 182 200 208 224 244 250 260 280 284 305 325 350 355 364 400 416 427 455 488 497 500 520 560 568 610 625 650 700 710 728 793 800 854 875 910 923 976 994 1000 1040 1120 1136 1220 1250 1300 1400 1420 1456 1525 1586 1625 1708 1750 1775 1820 1846 1952 1988 2000 2080 2135 2272 2275 2440 2485 2500 2600 2800 2840 2912 3050 3172 3250 3416 3500 3550 3640 3692 3721 3965 3976 4000 4270 4331 4375 4550 4615 4880 4970 5000 5041 5200 5551 5600 5680 6100 6344 6461 6500 6832 7000 7100 7280 7384 7442 7625 7930 7952 8125 8540 8662 8750 8875 9100 9230 9760 9940 10000 10082 10400 10675 11102 11360 11375 12200 12425 12688 12922 13000 13664 14000 14200 14560 14768 14884 15250 15860 15904 16250 17080 17324 17500 17750 18200 18460 18605 19825 19880 20000 20164 21350 21655 22204 22750 23075 24400 24850 25205 25376 25844 26000 26047 27755 28000 28400 29536 29768 30317 30500 31720 32305 32500 34160 34648 35000 35287 35500 36400 36920 37210 38125 39650 39760 40328 42700 43310 44375 44408 45500 46150 48373 48800 49700 50410 51688 52000 52094 53375 55510 56303 56800 56875 59536 60634 61000 62125 63440 64610 65000 65533 68320 69296 70000 70574 71000 72800 73840 74420 76250 79300 79520 80656 85400 86620 88750 88816 91000 92300 93025 96746 99125 99400 100820 103376 104188 106750 108275 111020 112606 113750 115375 119072 121268 122000 124250 126025 126880 129220 130000 130235 131066 138592 138775 140000 141148 142000 147680 148840 151585 152500 158600 161312 161525 170800 173240 176435 177500 177632 182000 184600 186050 193492 198250 198800 201640 206752 208376 213500 216550 222040 225212 227500 230750 241865 242536 244000 248500 252050 258440 260000 260470 262132 264191 266875 277550 281515 282296 284000 297680 303170 305000 307501 310625 317200 323050 327665 338611 341600 346480 352870 355000 364000 369200 372100 386984 394121 396500 397600 403280 416752 427000 433100 444080 450424 455000 458731 461500 465125 483730 485072 495625 497000 504100 516880 520940 524264 528382 533750 541375 555100 563030 564592 576875 595360 606340 610000 615002 621250 630125 634400 646100 651175 655330 677222 692960 693875 705740 710000 738400 744200 757925 773968 788242 793000 806560 807625 833504 854000 866200 882175 888160 900848 910000 917462 923000 930250 967460 970144 991250 994000 1008200 1033760 1041880 1048528 1056764 1067500 1082750 1110200 1126060 1129184 1153750 1209325 1212680 1220000 1230004 1242500 1260250 1292200 1302350 1310660 1320955 1354444 1387750 1407575 1411480 1420000 1488400 1515850 1537505 1547936 1576484 1586000 1615250 1638325 1693055 1708000 1732400 1764350 1801696 1820000 1834924 1846000 1849337 1860500 1934920 1970605 1982500 1988000 2016400 2083760 2097056 2113528 2135000 2152507 2165500 2220400 2252120 2293655 2307500 2325625 2418650 2425360 2460008 2485000 2520500 2584400 2604700 2621320 2641910 2706875 2708888 2775500 2815150 2822960 2976800 3031700 3075010 3150625 3152968 3172000 3230500 3255875 3276650 3386110 3434483 3464800 3469375 3528700 3669848 3692000 3698674 3721000 3789625 3869840 3941210 3965000 3997513 4032800 4038125 4167520 4227056 4270000 4305014 4331000 4410875 4440800 4504240 4587310 4615000 4651250 4837300 4850720 4920016 4970000 5041000 5168800 5209400 5242640 5283820 5413750 5417776 5551000 5630300 5645920 6046625 6063400 6150020 6301250 6305936 6461000 6511750 6553300 6604775 6772220 6868966 6938750 7037875 7057400 7339696 7397348 7442000 7579250 7687525 7739680 7882420 7930000 7995026 8076250 8191625 8454112 8465275 8540000 8610028 8662000 8821750 9008480 9174620 9230000 9246685 9302500 9674600 9840032 9853025 9940000 10082000 10418800 10485280 10567640 10762535 10827500 10835552 11102000 11260600 11468275 12093250 12126800 12300040 12602500 12611872 12922000 13023500 13106600 13209550 13544440 13737932 13877500 14075750 14114800 14679392 14794696 14884000 15158500 15375050 15764840 15860000 15990052 16152500 16279375 16383250 16930550 17172415 17220056 17324000 17643500 18349240 18460000 18493370 18605000 18757561 18948125 19349200 19706050 19987565 20164000 20837600 21135280 21525070 21655000 22054375 22204000 22521200 22936550 24041381 24186500 24253600 24600080 25205000 25844000 26047000 26213200 26419100 27088880 27475864 27755000 27982591 28151500 28229600 29589392 30233125 30317000 30750100 31529680 31980104 32305000 32558750 32766500 33023875 33861100 34344830 34440112 35189375 35287000 36698480 36986740 37210000 37515122 37896250 38437625 38698400 39412100 39975130 40958125 42270560 42326375 43050140 43310000 44108750 45042400 45873100 46233425 48082762 48373000 49200160 49265125 50410000 52094000 52426400 52838200 53812675 54177760 54951728 55510000 55965182 56303000 57341375 59178784 60466250 60634000 61500200 63059360 63960208 64610000 65117500 65533000 66047750 67722200 68689660 68880224 70378750 70574000 73396960 73973480 74420000 75030244 75792500 76875250 78824200 79950260 81916250 84652750 85862075 86100280 86620000 88217500 91746200 92466850 93787805 96165524 96746000 98530250 99937825 100820000 104188000 105676400 107625350 109903456 111020000 111930364 112606000 114682750 120206905 120932500 121268000 123000400 127920416 129220000 130235000 131066000 131302927 132095500 135444400 137379320 139912955 140757500 141148000 147946960 150060488 151585000 153750500 157648400 159900520 163832500 165119375 169305500 171724150 172200560 176435000 183492400 184933700 187575610 192188125 192331048 193492000 197060500 199875650 211352800 211631875 215250700 223860728 225212000 229365500 231167125 240413810 241865000 243848293 246000800 246325625 260470000 262132000 262605854 264191000 269063375 270888800 274758640 279825910 281515000 286706875 295893920 300120976 303170000 307501000 315296800 319801040 327665000 330238750 338611000 343448300 344401120 352870000 366984800 369867400 375151220 384376250 384662096 394121000 399751300 423263750 429310375 430501400 447721456 458731000 462334250 468939025 480827620 483730000 487696586 492651250 499689125 520940000 525211708 528382000 538126750 549517280 559651820 563030000 573413750 600241952 601034525 606340000 615002000 639602080 655330000 656514635 660477500 677222000 686896600 699564775 705740000 739734800 750302440 768752500 769324192 788242000 799502600 846527500 858620750 861002800 895442912 917462000 924668500 937878050 961655240 967460000 975393172 985302500 999378250 1050423416 1056764000 1076253500 1119303640 1126060000 1146827500 1155835625 1202069050 1219241465 1230004000 1310660000 1313029270 1320955000 1345316875 1354444000 1373793200 1399129550 1479469600 1500604880 1537505000 1576484000 1599005200 1693055000 1706938051 1717241500 1722005600 1834924000 1849337000 1875756100 1923310480 1950786344 1970605000 1998756500 2100846832 2146551875 2152507000 2238607280 2293655000 2311671250 2344695125 2404138100 2438482930 2498445625 2626058540 2641910000 2690633750 2747586400 2798259100 3001209760 3005172625 3075010000 3198010400 3282573175 3386110000 3413876102 3434483000 3497823875 3698674000 3751512200 3846620960 3901572688 3941210000 3997513000 4201693664 4293103750 4305014000 4477214560 4587310000 4623342500 4689390250 4808276200 4876965860 4996891250 5252117080 5283820000 5381267500 5596518200 6010345250 6096207325 6150020000 6565146350 6772220000 6827752204 6868966000 6995647750 7397348000 7503024400 7803145376 7882420000 7995026000 8534690255 8586207500 8610028000 9174620000 9246685000 9378780500 9616552400 9753931720 9993782500 10504234160 10762535000 11193036400 11723475625 12020690500 12192414650 13130292700 13655504408 13737932000 13991295500 15006048800 15025863125 15990052000 16412865875 17069380510 17172415000 17489119375 18493370000 18757561000 19233104800 19507863440 19987565000 21008468320 21525070000 22386072800 23446951250 24041381000 24384829300 26260585400 27311008816 27982591000 30051726250 30481036625 32825731750 34138761020 34344830000 34978238750 36986740000 37515122000 39015726880 39975130000 42673451275 43050140000 46893902500 48082762000 48769658600 52521170800 54622017632 55965182000 60103452500 60962073250 65651463500 68277522040 68689660000 69956477500 75030244000 79950260000 82064329375 85346902550 93787805000 96165524000 97539317200 105042341600 111930364000 120206905000 121924146500 131302927000 136555044080 139912955000 152405183125 164128658750 170693805100 187575610000 195078634400 213367256375 240413810000 243848293000 262605854000 273110088160 279825910000 304810366250 328257317500 341387610200 375151220000 426734512750 480827620000 487696586000 525211708000 559651820000 609620732500 656514635000 682775220400 853469025500 975393172000 1066836281875 1219241465000 1313029270000 1365550440800 1706938051000 2133672563750 2438482930000 2626058540000 3413876102000 4267345127500 4876965860000 6827752204000 8534690255000 17069380510000 34138761020000
- Sum of all divisors σ(n): 106591295354544
- Sum of proper divisors (its aliquot sum) s(n): 72452534334544
- 34138761020000 is an abundant number, because the sum of its proper divisors (72452534334544) is greater than itself. Its abundance is 38313773314544
Bases of 34138761020000
- Binary: 1111100001100100011001011100101000010011000002
- Hexadecimal: 0x1F0C8CB94260
- Base-36: C3N4OVHI8
Squares and roots of 34138761020000
- 34138761020000 squared (341387610200002) is 1165455003980671440400000000
- 34138761020000 cubed (341387610200003) is 39787189860459291002954773208000000000000
-
The
square root of 34138761020000 is 5842838.4386357971 -
The
cube root of 34138761020000 is 32440.1299418613
Scales and comparisons
How big is 34138761020000?- 34,138,761,020,000 seconds is equal to 1,085,507 years, 20 hours, 13 minutes, 20 seconds.
-
To count from 1 to 34,138,761,020,000 would take you about two million, seven hundred thirteen thousand, seven hundred sixty-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 34138761020000 cubic inches would be around 2703.3 feet tall.
Recreational maths with 34138761020000
- 34138761020000 backwards is 00002016783143
- 34138761020000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 34138761020000's digits is 35
- 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 34138761020000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 34138761020000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/34138761020000/
Chicago style:
Numbermatics. 2024. "Number 34138761020000 - Facts about the integer". https://numbermatics.com/n/34138761020000/
The information we have on file for 34138761020000 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 34138761020000, math, Factors of 34138761020000, curriculum, school, college, exams, university, Prime factorization of 34138761020000, STEM, science, technology, engineering, physics, economics, calculator, thirty-four trillion, one hundred thirty-eight billion, seven hundred sixty-one million, twenty thousand.