34013326131200
34,013,326,131,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 34013326131200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
34013326131200 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 34013326131200:
214 × 52 × 132 × 53 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 53 × 73 × 127)See below for interesting mathematical facts about the number 34013326131200 from the Numbermatics database.
Names of 34013326131200
- Cardinal: 34013326131200 can be written as Thirty-four trillion, thirteen billion, three hundred twenty-six million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.40133261312 × 1013
Factors of 34013326131200
Divisors of 34013326131200
- Number of divisors d(n): 1080
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 73 80 100 104 106 127 128 130 146 160 169 200 208 212 254 256 260 265 292 320 325 338 365 400 416 424 508 512 520 530 584 635 640 650 676 689 730 800 832 845 848 949 1016 1024 1040 1060 1168 1270 1280 1300 1325 1352 1378 1460 1600 1651 1664 1690 1696 1825 1898 2032 2048 2080 2120 2336 2540 2560 2600 2650 2704 2756 2920 3175 3200 3302 3328 3380 3392 3445 3650 3796 3869 4064 4096 4160 4225 4240 4672 4745 5080 5120 5200 5300 5408 5512 5840 6350 6400 6604 6656 6731 6760 6784 6890 7300 7592 7738 8128 8192 8255 8320 8450 8480 8957 9271 9344 9490 10160 10240 10400 10600 10816 11024 11680 12337 12700 12800 13208 13312 13462 13520 13568 13780 14600 15184 15476 16256 16384 16510 16640 16900 16960 17225 17914 18542 18688 18980 19345 20320 20480 20800 21200 21463 21632 22048 23360 23725 24674 25400 25600 26416 26624 26924 27040 27136 27560 29200 30368 30952 32512 33020 33280 33655 33800 33920 34450 35828 37084 37376 37960 38690 40640 40960 41275 41600 42400 42926 43264 44096 44785 46355 46720 47450 49348 50297 50800 51200 52832 53248 53848 54080 54272 55120 58400 60736 61685 61904 65024 66040 66560 67310 67600 67840 68900 71656 74168 74752 75920 77380 81280 81920 82550 83200 84800 85852 86528 87503 88192 89570 92710 93440 94900 96725 98696 100594 101600 102400 105664 106496 107315 107696 108160 108544 110240 116800 120523 121472 123370 123808 130048 132080 133120 134620 135200 135680 137800 143312 148336 149504 151840 154760 162560 165100 166400 168275 169600 171704 173056 175006 176384 179140 185420 186880 189800 193450 197392 201188 203200 204800 211328 212992 214630 215392 216320 217088 220480 223925 231775 233600 241046 242944 246740 247616 251485 260096 264160 266240 269240 270400 271360 275600 286624 296672 299008 303680 308425 309520 325120 330200 332800 336550 339200 343408 346112 350012 352768 358280 370840 373760 379600 386900 394784 402376 406400 409600 422656 429260 430784 432640 434176 437515 440960 447850 463550 467200 482092 485888 491363 493480 495232 502970 520192 528320 532480 536575 538480 540800 542720 551200 573248 593344 598016 602615 607360 616850 619040 650240 653861 660400 665600 673100 678400 686816 692224 700024 705536 716560 741680 747520 759200 773800 789568 804752 812800 845312 858520 861568 865280 868352 875030 881920 895700 927100 934400 964184 971776 982726 986960 990464 1005940 1040384 1056640 1064960 1073150 1076960 1081600 1085440 1102400 1137539 1146496 1186688 1196032 1205230 1214720 1233700 1238080 1257425 1300480 1307722 1320800 1331200 1346200 1356800 1373632 1384448 1400048 1411072 1433120 1483360 1495040 1518400 1547600 1566799 1579136 1609504 1625600 1690624 1717040 1723136 1730560 1750060 1763840 1791400 1854200 1868800 1928368 1943552 1965452 1973920 1980928 2011880 2080768 2113280 2146300 2153920 2163200 2170880 2187575 2204800 2275078 2292992 2373376 2410460 2429440 2456815 2467400 2476160 2514850 2600960 2615444 2641600 2662400 2692400 2713600 2747264 2768896 2800096 2822144 2866240 2966720 2990080 3013075 3036800 3095200 3133598 3158272 3219008 3251200 3269305 3381248 3434080 3446272 3461120 3500120 3527680 3582800 3708400 3737600 3856736 3887104 3930904 3947840 3961856 4023760 4226560 4292600 4307840 4326400 4341760 4375150 4409600 4550156 4585984 4746752 4820920 4858880 4913630 4934800 4952320 5029700 5201920 5230888 5283200 5324800 5384800 5427200 5494528 5600192 5644288 5687695 5732480 5933440 5980160 6026150 6073600 6190400 6267196 6316544 6387719 6438016 6502400 6538610 6762496 6868160 6892544 6922240 7000240 7055360 7165600 7416800 7475200 7713472 7774208 7833995 7861808 7895680 7923712 8047520 8453120 8585200 8615680 8652800 8750300 8819200 9100312 9171968 9493504 9641840 9717760 9827260 9869600 9904640 10059400 10403840 10461776 10566400 10769600 10854400 10989056 11200384 11288576 11375390 11464960 11866880 12052300 12147200 12284075 12380800 12534392 12633088 12775438 12876032 13004800 13077220 13524992 13736320 13785088 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315827200 316948480 319385950 321900800 332161388 334776832 338124800 344627200 351649792 358412288 364012480 366878720 379740160 385673600 388710400 393090400 396185600 401100544 408814016 412033024 415201735 418471040 439562240 448015360 455015600 458598400 474675200 493662208 501375680 503155712 505323520 511017520 515041280 523088800 549452800 551403520 560019200 582419968 617077760 626719600 628944640 631654400 638771900 643801600 664322776 669553664 676249600 689254400 716824576 728024960 733757440 759480320 771347200 786180800 792371200 802201088 817628032 824066048 830403470 836942080 879124480 896030720 910031200 917196800 949350400 987324416 1002751360 1006311424 1010647040 1022035040 1030082560 1046177600 1098905600 1120038400 1164839936 1234155520 1253439200 1257889280 1263308800 1277543800 1287603200 1328645552 1339107328 1378508800 1433649152 1456049920 1542694400 1572361600 1584742400 1604402176 1635256064 1660806940 1673884160 1758248960 1792061440 1820062400 1834393600 1898700800 1974648832 2005502720 2012622848 2044070080 2060165120 2076008675 2092355200 2197811200 2240076800 2329679872 2468311040 2506878400 2515778560 2526617600 2555087600 2575206400 2657291104 2678214656 2757017600 2912099840 3085388800 3144723200 3208804352 3270512128 3321613880 3347768320 3584122880 3640124800 3668787200 3797401600 4011005440 4025245696 4088140160 4120330240 4152017350 4184710400 4395622400 4480153600 4659359744 4936622080 5013756800 5031557120 5053235200 5110175200 5150412800 5314582208 5356429312 5824199680 6170777600 6289446400 6417608704 6541024256 6643227760 6695536640 7168245760 7280249600 8022010880 8050491392 8176280320 8304034700 8369420800 8791244800 8960307200 9318719488 9873244160 10027513600 10063114240 10220350400 10300825600 10629164416 10712858624 11648399360 12341555200 12578892800 12835217408 13082048512 13286455520 13391073280 14560499200 16044021760 16352560640 16608069400 16738841600 17920614400 18637438976 20055027200 20126228480 20440700800 20601651200 21258328832 23296798720 24683110400 25157785600 25670434816 26164097024 26572911040 26782146560 29120998400 32088043520 32705121280 33216138800 33477683200 35841228800 40110054400 40252456960 40881401600 42516657664 46593597440 49366220800 50315571200 52328194048 53145822080 53564293120 58241996800 64176087040 65410242560 66432277600 66955366400 80220108800 81762803200 85033315328 93187194880 100631142400 104656388096 106291644160 116483993600 128352174080 130820485120 132864555200 133910732800 160440217600 163525606400 170066630656 201262284800 212583288320 232967987200 261640970240 265729110400 267821465600 320880435200 327051212800 340133261312 425166576640 465935974400 523281940480 531458220800 641760870400 654102425600 680266522624 850333153280 1062916441600 1308204851200 1360533045248 1700666306560 2125832883200 2616409702400 3401332613120 4251665766400 6802665226240 8503331532800 17006663065600 34013326131200
- Sum of all divisors σ(n): 95079067550208
- Sum of proper divisors (its aliquot sum) s(n): 61065741419008
- 34013326131200 is an abundant number, because the sum of its proper divisors (61065741419008) is greater than itself. Its abundance is 27052415287808
Bases of 34013326131200
- Binary: 1111011101111010110000011100011000000000000002
- Hexadecimal: 0x1EEF5838C000
- Base-36: C21I86HVK
Squares and roots of 34013326131200
- 34013326131200 squared (340133261312002) is 1156906354507372759613440000
- 34013326131200 cubed (340133261312003) is 39350233139116952787618874762723328000000
-
The
square root of 34013326131200 is 5832094.4892208323 -
The
cube root of 34013326131200 is 32400.3499591321
Scales and comparisons
How big is 34013326131200?- 34,013,326,131,200 seconds is equal to 1,081,518 years, 29 weeks, 1 day, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 34,013,326,131,200 would take you about two million, seven hundred three thousand, seven hundred ninety-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 34013326131200 cubic inches would be around 2700 feet tall.
Recreational maths with 34013326131200
- 34013326131200 backwards is 00213162331043
- The number of decimal digits it has is: 14
- The sum of 34013326131200's digits is 29
- More coming soon!
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