135314467488200
135,314,467,488,200 is an even composite number composed of seven prime numbers multiplied together.
135314467488200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135314467488200:
23 × 52 × 7 × 114 × 13 × 31 × 16381
(2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 13 × 31 × 16381)See below for interesting mathematical facts about the number 135314467488200 from the Numbermatics database.
Names of 135314467488200
- Cardinal: 135314467488200 can be written as One hundred thirty-five trillion, three hundred fourteen billion, four hundred sixty-seven million, four hundred eighty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.353144674882 × 1014
Factors of 135314467488200
Divisors of 135314467488200
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 31 35 40 44 50 52 55 56 62 65 70 77 88 91 100 104 110 121 124 130 140 143 154 155 175 182 200 217 220 242 248 260 275 280 286 308 310 325 341 350 364 385 403 434 440 455 484 520 550 572 605 616 620 650 682 700 715 728 770 775 806 847 868 910 968 1001 1085 1100 1144 1210 1240 1300 1331 1364 1400 1430 1540 1550 1573 1612 1694 1705 1736 1820 1925 2002 2015 2170 2200 2275 2387 2420 2600 2662 2728 2821 2860 3025 3080 3100 3146 3224 3388 3410 3575 3640 3751 3850 4004 4030 4235 4340 4433 4550 4774 4840 5005 5324 5425 5642 5720 6050 6200 6292 6655 6776 6820 7150 7502 7700 7865 8008 8060 8470 8525 8680 8866 9100 9317 9548 10010 10075 10648 10850 11011 11284 11935 12100 12584 13310 13640 14105 14300 14641 15004 15400 15730 16120 16381 16940 17050 17303 17732 18200 18634 18755 19096 20020 20150 21175 21700 22022 22165 22568 23870 24200 25025 26257 26620 28210 28600 29282 30008 31031 31460 32762 33275 33880 34100 34606 35464 37268 37510 39325 40040 40300 41261 42350 43400 44044 44330 46585 47740 48763 50050 52514 53240 55055 56420 58564 59675 62062 62920 65524 66550 68200 69212 70525 73205 74536 75020 78650 80600 81905 82522 84700 86515 88088 88660 93170 93775 95480 97526 100100 102487 105028 110110 110825 112840 114667 117128 119350 121121 124124 131048 131285 133100 138424 141050 146410 150040 155155 157300 163810 165044 169400 173030 177320 180191 186340 187550 190333 195052 200200 204974 206305 210056 212953 220220 221650 229334 232925 238700 242242 243815 248248 262570 266200 275275 282100 288827 292820 310310 314600 327620 330088 341341 346060 360382 366025 372680 375100 380666 390104 409525 409948 412610 425906 432575 440440 443300 453871 458668 465850 477400 484484 487630 507811 512435 525140 536393 550550 564200 573335 577654 585640 605605 620620 655240 656425 682682 692120 720764 732050 750200 761332 775775 819050 819896 825220 851812 865150 886600 900955 907742 917336 931700 951665 968968 975260 1015622 1024870 1031525 1050280 1064765 1072786 1101100 1146670 1155308 1211210 1219075 1241240 1261337 1312850 1332331 1365364 1441528 1444135 1464100 1490671 1522664 1551550 1638100 1650440 1703624 1706705 1730300 1801910 1815484 1863400 1903330 1950520 1982101 2031244 2049740 2063050 2129530 2145572 2202200 2269355 2293340 2310616 2342483 2422420 2438150 2522674 2539055 2562175 2625700 2664662 2681965 2730728 2866675 2888270 2928200 2981342 3028025 3103100 3177097 3276200 3413410 3460600 3554677 3603820 3630968 3754751 3806660 3964202 4062488 4099480 4126100 4259060 4291144 4504775 4538710 4586680 4684966 4758325 4844840 4876300 5045348 5078110 5124350 5251400 5323825 5329324 5363930 5585921 5733350 5776540 5900323 5962684 6056050 6206200 6306685 6354194 6601543 6661655 6826820 7109354 7207640 7220675 7453355 7509502 7613320 7928404 8252200 8518120 8533525 9009550 9077420 9369932 9516650 9752600 9910505 10090696 10156220 10248700 10647650 10658648 10727860 11171842 11346775 11466700 11553080 11712415 11800646 11925368 12112100 12613370 12695275 12708388 13203086 13323310 13409825 13653640 13874707 14218708 14441350 14906710 15019004 15856808 15885485 16397381 17067050 17773385 18019100 18154840 18739864 18773755 19033300 19821010 20312440 20497400 21295300 21455720 21803111 22343684 22693550 22933400 23424830 23601292 24224200 25226740 25390550 25416776 25767313 26406172 26646620 26819650 27749414 27929605 28437416 28882700 29501615 29813420 30038008 31533425 31770970 32794762 33007715 33308275 34134100 35546770 36038200 37266775 37547510 38066600 39101447 39642020 41302261 42590600 43606222 44687368 45387100 46210801 46849660 47202584 49552525 50453480 50781100 51534626 52812344 53293240 53639300 55498828 55859210 57765400 58562075 59003230 59626840 61445131 63066850 63541940 65589524 66015430 66616550 68268200 69373535 71093540 72616973 74533550 75095020 78202894 79284040 79427425 81986905 82604522 87212444 88866925 90774200 92421602 93699320 93868775 99105050 101562200 103069252 107278600 109015555 110997656 111718420 117124150 118006460 122890262 126133700 127083880 128836565 131179048 132030860 133233100 138747070 139648025 142187080 145233946 147508075 149067100 150190040 152621777 156405788 158854850 163973810 165038575 165209044 174424888 177733850 180371191 184843204 187737550 195507235 198210100 206138504 206511305 218031110 223436840 231054005 234248300 236012920 239834221 245780524 252267400 257673130 264061720 266466200 277494140 279296050 283440443 290467892 295016150 298134200 305243554 307225655 312811576 317709700 327947620 330077150 330418088 346867675 355467700 360742382 363084865 369686408 375475100 391014470 396420200 409934525 413022610 430115917 436062220 462108010 468496600 479668442 491561048 508318811 515346260 545077775 554988280 558592100 566880886 580935784 590032300 610487108 614451310 635419400 644182825 655895240 660154300 675896441 693735350 710935400 721484764 726169730 750950200 763108885 782028940 798786703 819869050 826045220 860231834 872124440 901855955 924216020 959336884 977536175 1016637622 1030692520 1032556525 1090155550 1117184200 1133761772 1155270025 1180064600 1199171105 1220974216 1228902620 1288365650 1320308600 1351792882 1387470700 1417202215 1442969528 1452339460 1526217770 1536128275 1564057880 1597573406 1639738100 1652090440 1678839547 1720463668 1803711910 1815424325 1848432040 1918673768 1955072350 1984083101 2033275244 2065113050 2150579585 2180311100 2267523544 2310540050 2398342210 2457805240 2541594055 2576731300 2703585764 2774941400 2834404430 2904678920 3052435540 3072256550 3117844873 3195146812 3279476200 3357679094 3379482205 3440927336 3607423820 3630848650 3815544425 3910144700 3968166202 3993933515 4066550488 4130226100 4301159170 4360622200 4509279775 4621080100 4731275087 4796684420 5083188110 5153462600 5407171528 5591506921 5668808860 5995855525 6104871080 6144513100 6235689746 6390293624 6715358188 6758964410 7086011075 7214847640 7261697300 7434860851 7631088850 7820289400 7936332404 7987867030 8260452200 8394197735 8602318340 8786653733 9018559550 9242160200 9462550174 9593368840 9920415505 10166376220 10752897925 11183013842 11337617720 11991711050 12289026200 12471379492 12707970275 13430716376 13517928820 14172022150 14523394600 14869721702 15262177700 15589224365 15872664808 15975734060 16788395470 16897411025 17204636680 17573307466 18037119100 18925100348 19840831010 19969667575 20332752440 21505795850 21824914111 22366027684 23656375435 23983422100 24942758984 25415940550 27035857640 27957534605 28344044300 29739443404 30524355400 31178448730 31951468120 33576790940 33794822050 35146614932 36074238200 37174304255 37850200696 39681662020 39939335150 41970988675 43011591700 43649828222 43933268665 44732055368 47312750870 47966844200 49602077525 50831881100 52044025957 55915069210 56688088600 59478886808 61506576131 62356897460 67153581880 67589644100 70293229864 74348608510 77946121825 79363324040 79878670300 83941977350 86023183400 87299656444 87866537330 94625501740 96653191063 99204155050 101663762200 104088051914 109124570555 111830138420 118281877175 123013152262 124713794920 135179288200 139787673025 148697217020 155892243650 159757340600 167883954700 174599312888 175733074660 185871521275 189251003480 193306382126 198408310100 208176103828 218249141110 219666343325 223660276840 236563754350 246026304524 260220129785 279575346050 297394434040 307532880655 311784487300 335767909400 351466149320 371743042550 386612764252 396816620200 416352207656 436498282220 439332686650 473127508700 483265955315 492052609048 520440259570 545622852775 559150692100 615065761310 623568974600 676572337441 743486085100 773225528504 872996564440 878665373300 946255017400 966531910630 1040880519140 1091245705550 1118301384200 1230131522620 1301100648925 1353144674882 1486972170200 1537664403275 1757330746600 1933063821260 2081761038280 2182491411100 2416329776575 2460263045240 2602201297850 2706289349764 3075328806550 3382861687205 3866127642520 4364982822200 4832659553150 5204402595700 5412578699528 6150657613100 6765723374410 9665319106300 10408805191400 12301315226200 13531446748820 16914308436025 19330638212600 27062893497640 33828616872050 67657233744100 135314467488200
- Sum of all divisors σ(n): 439692041241600
- Sum of proper divisors (its aliquot sum) s(n): 304377573753400
- 135314467488200 is an abundant number, because the sum of its proper divisors (304377573753400) is greater than itself. Its abundance is 169063106265200
Bases of 135314467488200
- Binary: 111101100010001010110101100010010000001110010002
- Hexadecimal: 0x7B115AC481C8
- Base-36: 1BYQLW85HK
Squares and roots of 135314467488200
- 135314467488200 squared (1353144674882002) is 18310005111615134817139240000
- 135314467488200 cubed (1353144674882003) is 2477608591384421972404847543112456968000000
-
The
square root of 135314467488200 is 11632474.6932112429 -
The
cube root of 135314467488200 is 51339.0795004105
Scales and comparisons
How big is 135314467488200?- 135,314,467,488,200 seconds is equal to 4,302,581 years, 26 weeks, 4 days, 3 minutes, 20 seconds.
-
To count from 1 to 135,314,467,488,200 would take you about ten million, seven hundred fifty-six thousand, four hundred fifty-three 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 135314467488200 cubic inches would be around 4278.3 feet tall.
Recreational maths with 135314467488200
- 135314467488200 backwards is 002884764413531
- 135314467488200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135314467488200's digits is 56
- More coming soon!
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The information we have on file for 135314467488200 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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