135352153872000
135,352,153,872,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135352153872000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
135352153872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 135352153872000:
27 × 33 × 53 × 13 × 31 × 53 × 14669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 31 × 53 × 14669)See below for interesting mathematical facts about the number 135352153872000 from the Numbermatics database.
Names of 135352153872000
- Cardinal: 135352153872000 can be written as One hundred thirty-five trillion, three hundred fifty-two billion, one hundred fifty-three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.35352153872 × 1014
Factors of 135352153872000
Divisors of 135352153872000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 53 54 60 62 64 65 72 75 78 80 90 93 96 100 104 106 108 117 120 124 125 128 130 135 144 150 155 156 159 160 180 186 192 195 200 208 212 216 225 234 240 248 250 260 265 270 279 288 300 310 312 318 320 325 351 360 372 375 384 390 400 403 416 424 432 450 465 468 477 480 496 500 520 530 540 558 576 585 600 620 624 636 640 650 675 689 702 720 744 750 775 780 795 800 806 832 837 848 864 900 930 936 954 960 975 992 1000 1040 1060 1080 1116 1125 1152 1170 1200 1209 1240 1248 1272 1300 1325 1350 1378 1395 1404 1431 1440 1488 1500 1550 1560 1590 1600 1612 1625 1643 1664 1674 1696 1728 1755 1800 1860 1872 1908 1920 1950 1984 2000 2015 2067 2080 2120 2160 2232 2250 2325 2340 2385 2400 2418 2480 2496 2544 2600 2650 2700 2756 2790 2808 2862 2880 2925 2976 3000 3100 3120 3180 3200 3224 3250 3286 3348 3375 3392 3445 3456 3510 3600 3627 3720 3744 3816 3875 3900 3968 3975 4000 4030 4134 4160 4185 4240 4320 4464 4500 4650 4680 4770 4800 4836 4875 4929 4960 4992 5088 5200 5300 5400 5512 5580 5616 5724 5760 5850 5952 6000 6045 6200 6201 6240 6360 6448 6500 6572 6625 6696 6750 6784 6890 6975 7020 7155 7200 7254 7440 7488 7632 7750 7800 7950 8000 8060 8215 8268 8320 8370 8480 8640 8775 8928 9000 9300 9360 9540 9600 9672 9750 9858 9920 10075 10176 10335 10400 10600 10800 10881 11024 11160 11232 11448 11625 11700 11904 11925 12000 12090 12400 12402 12480 12720 12896 13000 13144 13250 13392 13500 13780 13950 14040 14310 14400 14508 14625 14669 14787 14880 14976 15264 15500 15600 15900 16000 16120 16430 16536 16740 16960 17225 17280 17550 17856 18000 18135 18600 18603 18720 19080 19344 19500 19716 19840 19875 20150 20352 20670 20800 20925 21200 21359 21600 21762 22048 22320 22464 22896 23250 23400 23850 24000 24180 24645 24800 24804 24960 25440 25792 26000 26288 26500 26784 27000 27560 27900 28080 28620 28800 29016 29250 29338 29574 29760 30225 30528 31000 31005 31200 31800 32240 32860 33072 33480 33920 34450 34875 35100 35712 35775 36000 36270 37200 37206 37440 38160 38688 39000 39432 39750 40300 41075 41340 41600 41850 42400 42718 43200 43524 43875 44007 44096 44361 44640 44928 45792 46500 46800 47700 48000 48360 49290 49600 49608 50375 50880 51584 51675 52000 52576 53000 53568 54000 54405 55120 55800 56160 57240 58032 58500 58676 59148 59520 59625 60450 61056 62000 62010 62400 63600 64077 64480 65720 66144 66960 68900 69750 70200 71550 72000 72540 73345 73935 74400 74412 74880 76320 77376 78000 78864 79500 80600 82150 82680 83700 84800 85436 86125 86400 87048 87750 88014 88192 88722 89280 90675 91584 93000 93015 93600 95400 96720 98580 99200 99216 100750 101760 103350 104000 104625 105152 106000 106795 107136 108000 108810 110240 111600 112320 114480 116064 117000 117352 118296 119250 120900 123225 124000 124020 124800 127200 128154 128960 131440 132021 132288 133920 137800 139500 140400 143100 144000 145080 146690 147870 148800 148824 151125 152640 154752 155025 156000 157728 159000 161200 164300 165360 167400 169600 170872 172250 174096 175500 176028 177444 178560 178875 181350 183168 186000 186030 187200 190697 190800 192231 193440 197160 198432 201500 205375 206700 208000 209250 210304 212000 213590 216000 217620 220035 220480 221805 223200 224640 228960 232128 234000 234704 236592 238500 241800 246450 248000 248040 254400 256308 257920 258375 262880 264042 264576 267840 272025 275600 279000 280800 286200 290160 293380 295740 297600 297648 302250 305280 310050 312000 315456 318000 320385 322400 328600 330720 334800 341744 344500 348192 351000 352056 354888 357750 362700 366725 369675 372000 372060 374400 381394 381600 384462 386880 394320 396063 396864 403000 410750 413400 418500 424000 427180 432000 435240 440070 440960 443610 446400 453375 454739 457920 464256 465075 468000 469408 473184 477000 483600 492900 496000 496080 508800 512616 516750 525760 528084 533975 535680 544050 551200 558000 561600 572091 572400 576693 580320 586760 591480 595296 604500 616125 620100 624000 630912 636000 640770 644800 657200 660105 661440 669600 683488 689000 696384 702000 704112 709776 715500 725400 733450 739350 744000 744120 762788 763200 768924 773760 775125 777457 788640 792126 793728 806000 821500 826800 837000 848000 854360 870480 880140 887220 892800 906750 909478 915840 930150 936000 938816 946368 953485 954000 961155 967200 985800 992160 1025232 1033500 1051520 1056168 1067950 1088100 1100175 1102400 1109025 1116000 1123200 1144182 1144800 1153386 1160640 1173520 1182960 1190592 1209000 1232250 1240200 1272000 1281540 1289600 1314400 1320210 1322880 1339200 1360125 1364217 1366976 1378000 1392768 1404000 1408224 1419552 1431000 1450800 1466900 1478700 1488000 1488240 1525576 1526400 1537848 1550250 1554914 1577280 1584252 1601925 1612000 1643000 1653600 1674000 1708720 1716273 1740960 1760280 1774440 1813500 1818956 1833625 1848375 1860300 1872000 1877632 1892736 1906970 1908000 1922310 1934400 1971600 1980315 1984320 2050464 2067000 2112336 2135900 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6548241600 6650557875 6717228480 6810171264 6822185175 6865092000 6941136096 6997113000 7093928400 7230350100 7275824000 7276997520 7463587200 7519564104 7580205750 7712373440 7832879275 7857889920 7980669450 8085552800 8185302000 8238110400 8396535600 8459509617 8512714080 8676420120 8732397024 8867410500 9037937625 9096246900 9153456000 9227088000 9254848128 9329484000 9399455130 9458571200 9640466800 9702663360 9822362400 10026085472 10106941000 10215256896 10297638000 10411704144 10495669500 10640892600 10845525150 10913736000 10915496280 11195380800 11279346156 11350285440 11370308625 11568560160 11643196032 11823214000 12050583500 12128329200 12277953000 12439312000 12532606840 12769071120 13014630180 13096483200 13301115750 13434456960 13644370350 13730184000 13882272192 13994226000 14099182695 14187856800 14460700200 14553995040 15039128208 15160411500 15424746880 15665758550 15961338900 16171105600 16268287725 16370604000 16476220800 16793071200 16919019234 17025428160 17352840240 17464794048 17734821000 18075875250 18192493800 18658968000 18798910260 18917142400 19280933600 19405326720 19644724800 19951673625 20052170944 20213882000 20430513792 20595276000 20823408288 20991339000 21281785200 21691050300 21827472000 21830992560 22390761600 22558692312 22740617250 23137120320 23498637825 23646428000 24101167000 24256658400 24555906000 25065213680 25538142240 26029260360 26602231500 27113812875 27288740700 27460368000 27764544384 27988452000 28198365390 28375713600 28921400400 29107990080 30078256416 30320823000 31331517100 31922677800 32342211200 32536575450 32741208000 33586142400 33838038468 34050856320 34110925875 34705680480 34929588096 35469642000 36151750500 36384987600 37317936000 37597820520 38561867200 39164396375 39289449600 39903347250 40104341888 40427764000 41190552000 41646816576 41982678000 42297548085 42563570400 43382100600 43661985120 45117384624 45481234500 46274240640 46997275650 47292856000 48202334000 48513316800 49111812000 50130427360 51076284480 52058520720 53204463000 54227625750 54577481400 55976904000 56396730780 56751427200 57842800800 58215980160 60156512832 60641646000 62663034200 63845355600 65073150900 65482416000 67172284800 67676076936 68221851750 69411360960 70495913475 70939284000 72303501000 72769975200 75195641040 77123734400 78328792750 79806694500 80855528000 81341438625 82381104000 83293633152 83965356000 84595096170 85127140800 86764201200 87323970240 90234769248 90962469000 93994551300 94585712000 96404668000 97026633600 98223624000 100260854720 102152568960 104117041440 106408926000 108455251500 109154962800 111953808000 112793461560 115685601600 117493189125 120313025664 121283292000 125326068400 127690711200 130146301800 135352153872 136443703500 138822721920 140991826950 141878568000 144607002000 145539950400 150391282080 156657585500 159613389000 161711056000 162682877250 167930712000 169190192340 170254281600 173528402400 174647940480 180469538496 181924938000 187989102600 192809336000 196447248000 200521709440 208234082880 211487740425 212817852000 216910503000 218309925600 225586923120 231371203200 234986378250 242566584000 250652136800 255381422400 260292603600 270704307744 272887407000 281983653900 283757136000 289214004000 291079900800 300782564160 313315171000 319226778000 325365754500 335861424000 338380384680 347056804800 352479567375 360939076992 363849876000 375978205200 385618672000 416468165760 422975480850 425635704000 433821006000 436619851200 451173846240 469972756500 485133168000 501304273600 510762844800 520585207200 541408615488 545774814000 563967307800 578428008000 601565128320 626630342000 638453556000 650731509000 676760769360 694113609600 704959134750 727699752000 751956410400 845950961700 851271408000 867642012000 873239702400 902347692480 939945513000 1002608547200 1041170414400 1057438702125 1082817230976 1091549628000 1127934615600 1156856016000 1253260684000 1276907112000 1301463018000 1353521538720 1409918269500 1455399504000 1503912820800 1691901923400 1735284024000 1804695384960 1879891026000 2082340828800 2114877404250 2183099256000 2255869231200 2506521368000 2553814224000 2602926036000 2707043077440 2819836539000 3007825641600 3383803846800 3470568048000 3759782052000 4229754808500 4366198512000 4511738462400 5013042736000 5205852072000 5414086154880 5639673078000 6767607693600 7519564104000 8459509617000 9023476924800 10411704144000 11279346156000 13535215387200 15039128208000 16919019234000 22558692312000 27070430774400 33838038468000 45117384624000 67676076936000 135352153872000
- Sum of all divisors σ(n): 564711533568000
- Sum of proper divisors (its aliquot sum) s(n): 429359379696000
- 135352153872000 is an abundant number, because the sum of its proper divisors (429359379696000) is greater than itself. Its abundance is 294007225824000
Bases of 135352153872000
- Binary: 111101100011010001000010000110100010110100000002
- Hexadecimal: 0x7B1A210D1680
- Base-36: 1BZ7X5Q5C0
Squares and roots of 135352153872000
- 135352153872000 squared (1353521538720002) is 18320205557789564592384000000
- 135352153872000 cubed (1353521538720003) is 2479679281624602734904242127310848000000000
-
The
square root of 135352153872000 is 11634094.4586160207 -
The
cube root of 135352153872000 is 51343.8452008785
Scales and comparisons
How big is 135352153872000?- 135,352,153,872,000 seconds is equal to 4,303,779 years, 42 weeks, 5 days.
-
To count from 1 to 135,352,153,872,000 would take you about ten million, seven hundred fifty-nine thousand, four hundred forty-nine 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 135352153872000 cubic inches would be around 4278.7 feet tall.
Recreational maths with 135352153872000
- 135352153872000 backwards is 000278351253531
- 135352153872000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135352153872000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 135352153872000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 135352153872000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/135352153872000/
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The information we have on file for 135352153872000 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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