134428135334400
134,428,135,334,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 134428135334400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
134428135334400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 134428135334400:
29 × 33 × 52 × 19 × 31 × 660391
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 31 × 660391)See below for interesting mathematical facts about the number 134428135334400 from the Numbermatics database.
Names of 134428135334400
- Cardinal: 134428135334400 can be written as One hundred thirty-four trillion, four hundred twenty-eight billion, one hundred thirty-five million, three hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.344281353344 × 1014
Factors of 134428135334400
Divisors of 134428135334400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 48 50 54 57 60 62 64 72 75 76 80 90 93 95 96 100 108 114 120 124 128 135 144 150 152 155 160 171 180 186 190 192 200 216 225 228 240 248 256 270 279 285 288 300 304 310 320 342 360 372 380 384 400 432 450 456 465 475 480 496 512 513 540 558 570 576 589 600 608 620 640 675 684 720 744 760 768 775 800 837 855 864 900 912 930 950 960 992 1026 1080 1116 1140 1152 1178 1200 1216 1240 1280 1350 1368 1395 1425 1440 1488 1520 1536 1550 1600 1674 1710 1728 1767 1800 1824 1860 1900 1920 1984 2052 2160 2232 2280 2304 2325 2356 2400 2432 2480 2560 2565 2700 2736 2790 2850 2880 2945 2976 3040 3100 3200 3348 3420 3456 3534 3600 3648 3720 3800 3840 3968 4104 4185 4275 4320 4464 4560 4608 4650 4712 4800 4864 4960 5130 5301 5400 5472 5580 5700 5760 5890 5952 6080 6200 6400 6696 6840 6912 6975 7068 7200 7296 7440 7600 7680 7936 8208 8370 8550 8640 8835 8928 9120 9300 9424 9600 9728 9920 10260 10602 10800 10944 11160 11400 11520 11780 11904 12160 12400 12800 12825 13392 13680 13824 13950 14136 14400 14592 14725 14880 15200 15872 15903 16416 16740 17100 17280 17670 17856 18240 18600 18848 19200 19840 20520 20925 21204 21600 21888 22320 22800 23040 23560 23808 24320 24800 25650 26505 26784 27360 27900 28272 28800 29184 29450 29760 30400 31806 32832 33480 34200 34560 35340 35712 36480 37200 37696 38400 39680 41040 41850 42408 43200 43776 44175 44640 45600 47120 47616 48640 49600 51300 53010 53568 54720 55800 56544 57600 58900 59520 60800 63612 65664 66960 68400 69120 70680 71424 72960 74400 75392 79360 79515 82080 83700 84816 86400 87552 88350 89280 91200 94240 99200 102600 106020 107136 109440 111600 113088 115200 117800 119040 121600 127224 131328 132525 133920 136800 141360 142848 145920 148800 150784 159030 164160 167400 169632 172800 176700 178560 182400 188480 198400 205200 212040 214272 218880 223200 226176 235600 238080 243200 254448 262656 265050 267840 273600 282720 297600 301568 318060 328320 334800 339264 345600 353400 357120 364800 376960 396800 397575 410400 424080 428544 437760 446400 452352 471200 508896 530100 535680 547200 565440 595200 636120 656640 660391 669600 678528 706800 714240 729600 753920 795150 820800 848160 892800 904704 942400 1017792 1060200 1071360 1094400 1130880 1190400 1272240 1313280 1320782 1339200 1357056 1413600 1507840 1590300 1641600 1696320 1785600 1884800 1981173 2035584 2120400 2142720 2188800 2261760 2544480 2641564 2678400 2714112 2827200 3180600 3283200 3301955 3392640 3571200 3769600 3962346 4071168 4240800 4523520 5088960 5283128 5356800 5654400 5943519 6361200 6566400 6603910 6785280 7539200 7924692 8142336 8481600 9905865 10177920 10566256 10713600 11308800 11887038 12547429 12722400 13207820 13570560 15849384 16509775 16963200 17830557 19811730 20355840 20472121 21132512 22617600 23774076 25094858 25444800 26415640 29717595 31698768 33019550 33926400 35661114 37642287 39623460 40711680 40944242 42265024 47548152 49529325 50189716 50889600 52831280 59435190 61416363 62737145 63397536 66039100 67852800 71322228 75284574 79246920 81888484 84530048 89152785 95096304 99058650 100379432 101779200 102360605 105662560 112926861 118870380 122832726 125474290 126795072 132078200 142644456 148587975 150569148 158493840 163776968 169060096 178305570 184249089 188211435 190192608 198117300 200758864 203558400 204721210 211325120 225853722 237740760 245665452 250948580 253590144 264156400 285288912 297175950 301138296 307081815 313685725 316987680 327553936 338120192 338780583 356611140 368498178 376422870 380385216 388970299 396234600 401517728 409442420 422650240 445763925 451707444 475481520 491330904 501897160 507180288 511803025 528312800 552747267 564634305 570577824 594351900 602276592 614163630 627371450 633975360 655107872 677561166 713222280 736996356 752845740 760770432 777940598 792469200 803035456 818884840 845300480 891527850 903414888 921245445 941057175 950963040 982661808 1003794320 1014360576 1023606050 1056625600 1105494534 1129268610 1141155648 1166910897 1188703800 1204553184 1228327260 1254742900 1267950720 1310215744 1355122332 1426444560 1473992712 1505691480 1521540864 1535409075 1555881196 1584938400 1606070912 1637769680 1690600960 1693902915 1783055700 1806829776 1842490890 1882114350 1901926080 1944851495 1965323616 2007588640 2047212100 2113251200 2210989068 2258537220 2282311296 2333821794 2377407600 2409106368 2456654520 2509485800 2535901440 2620431488 2710244664 2763736335 2823171525 2852889120 2947985424 3011382960 3043081728 3070818150 3111762392 3169876800 3212141824 3275539360 3387805830 3500732691 3566111400 3613659552 3684981780 3764228700 3803852160 3889702990 3930647232 4015177280 4094424200 4226502400 4421978136 4517074440 4564622592 4606227225 4667643588 4754815200 4818212736 4913309040 5018971600 5071802880 5240862976 5420489328 5527472670 5646343050 5705778240 5834554485 5895970848 6022765920 6141636300 6223524784 6339753600 6424283648 6551078720 6775611660 7001465382 7132222800 7227319104 7369963560 7528457400 7607704320 7779405980 7861294464 8030354560 8188848400 8453004800 8469514575 8843956272 9034148880 9129245184 9212454450 9335287176 9509630400 9636425472 9724257475 9826618080 10037943200 10481725952 10502198073 10840978656 11054945340 11292686100 11411556480 11669108970 11791941696 12045531840 12283272600 12447049568 12679507200 13102157440 13551223320 13818681675 14002930764 14264445600 14454638208 14739927120 15056914800 15215408640 15558811960 15722588928 16060709120 16377696800 16939029150 17503663455 17687912544 18068297760 18424908900 18670574352 19019260800 19272850944 19448514950 19653236160 20075886400 21004396146 21681957312 22109890680 22585372200 22823112960 23338217940 23583883392 24091063680 24566545200 24894099136 25359014400 26204314880 27102446640 27637363350 28005861528 28528891200 28909276416 29172772425 29479854240 30113829600 31117623920 31445177856 32121418240 32755393600 33878058300 35007326910 35375825088 36136595520 36849817800 37341148704 38038521600 38897029900 39306472320 40151772800 42008792292 43363914624 44219781360 45170744400 45646225920 46676435880 47167766784 48182127360 49133090400 49788198272 52408629760 52510990365 54204893280 55274726700 56011723056 57057782400 57818552832 58345544850 58959708480 60227659200 62235247840 65510787200 67756116600 70014653820 70751650176 72273191040 73699635600 74682297408 76077043200 77794059800 78612944640 80303545600 84017584584 86727829248 87518317275 88439562720 90341488800 93352871760 94335533568 96364254720 98266180800 99576396544 105021980730 108409786560 110549453400 112023446112 114115564800 116691089700 117919416960 120455318400 124470495680 131021574400 135512233200 140029307640 141503300352 144546382080 147399271200 149364594816 155588119600 157225889280 160607091200 168035169168 173455658496 175036634550 176879125440 180682977600 186705743520 196532361600 199152793088 210043961460 216819573120 221098906800 224046892224 228231129600 233382179400 235838833920 240910636800 248940991360 262043148800 262554951825 271024466400 280058615280 283006600704 289092764160 294798542400 298729189632 311176239200 336070338336 350073269100 353758250880 361365955200 373411487040 393064723200 420087922920 433639146240 442197813600 448093784448 466764358800 471677667840 481821273600 497881982720 525109903650 542048932800 560117230560 589597084800 597458379264 622352478400 672140676672 700146538200 707516501760 722731910400 746822974080 786129446400 840175845840 867278292480 884395627200 896187568896 933528717600 995763965440 1050219807300 1084097865600 1120234461120 1179194169600 1244704956800 1344281353344 1400293076400 1415033003520 1445463820800 1493645948160 1680351691680 1768791254400 1792375137792 1867057435200 2100439614600 2168195731200 2240468922240 2358388339200 2489409913600 2688562706688 2800586152800 2987291896320 3360703383360 3537582508800 3734114870400 4200879229200 4336391462400 4480937844480 4978819827200 5377125413376 5601172305600 6721406766720 7075165017600 7468229740800 8401758458400 8961875688960 11202344611200 13442813533440 14936459481600 16803516916800 22404689222400 26885627066880 33607033833600 44809378444800 67214067667200 134428135334400
- Sum of all divisors σ(n): 536141094297600
- Sum of proper divisors (its aliquot sum) s(n): 401712958963200
- 134428135334400 is an abundant number, because the sum of its proper divisors (401712958963200) is greater than itself. Its abundance is 267284823628800
Bases of 134428135334400
- Binary: 111101001000010111111010100000100100010000000002
- Hexadecimal: 0x7A42FD412200
- Base-36: 1BNFFKY2O0
Squares and roots of 134428135334400
- 134428135334400 squared (1344281353344002) is 18070923569483761799823360000
- 134428135334400 cubed (1344281353344003) is 2429240559216161853169867560094531584000000
-
The
square root of 134428135334400 is 11594314.7850314983 -
The
cube root of 134428135334400 is 51226.7407075535
Scales and comparisons
How big is 134428135334400?- 134,428,135,334,400 seconds is equal to 4,274,398 years, 46 weeks, 2 days.
-
To count from 1 to 134,428,135,334,400 would take you about ten million, six hundred eighty-five thousand, nine hundred ninety-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 134428135334400 cubic inches would be around 4268.9 feet tall.
Recreational maths with 134428135334400
- 134428135334400 backwards is 004433531824431
- 134428135334400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134428135334400's digits is 45
- More coming soon!
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The information we have on file for 134428135334400 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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