135507440640
135,507,440,640 is an even composite number composed of eight prime numbers multiplied together.
135507440640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 135507440640:
210 × 3 × 5 × 11 × 13 × 17 × 19 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 17 × 19 × 191)See below for interesting mathematical facts about the number 135507440640 from the Numbermatics database.
Names of 135507440640
- Cardinal: 135507440640 can be written as One hundred thirty-five billion, five hundred seven million, four hundred forty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3550744064 × 1011
Factors of 135507440640
Divisors of 135507440640
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 19 20 22 24 26 30 32 33 34 38 39 40 44 48 51 52 55 57 60 64 65 66 68 76 78 80 85 88 95 96 102 104 110 114 120 128 130 132 136 143 152 156 160 165 170 176 187 190 191 192 195 204 208 209 220 221 228 240 247 255 256 260 264 272 285 286 304 312 320 323 330 340 352 374 380 382 384 390 408 416 418 429 440 442 456 480 494 510 512 520 528 544 561 570 572 573 608 624 627 640 646 660 663 680 704 715 741 748 760 764 768 780 816 832 836 858 880 884 912 935 955 960 969 988 1020 1024 1040 1045 1056 1088 1105 1122 1140 1144 1146 1216 1235 1248 1254 1280 1292 1320 1326 1360 1408 1430 1482 1496 1520 1528 1536 1560 1615 1632 1664 1672 1716 1760 1768 1824 1870 1910 1920 1938 1976 2040 2080 2090 2101 2112 2145 2176 2210 2244 2280 2288 2292 2431 2432 2470 2483 2496 2508 2560 2584 2640 2652 2717 2720 2805 2816 2860 2865 2964 2992 3040 3056 3072 3120 3135 3230 3247 3264 3315 3328 3344 3432 3520 3536 3553 3629 3648 3705 3740 3820 3840 3876 3952 4080 4160 4180 4199 4202 4224 4290 4352 4420 4488 4560 4576 4584 4845 4862 4864 4940 4966 4992 5016 5120 5168 5280 5304 5434 5440 5610 5632 5720 5730 5928 5984 6080 6112 6240 6270 6303 6460 6494 6528 6630 6656 6688 6864 7040 7072 7106 7258 7293 7296 7410 7449 7480 7640 7680 7752 7904 8151 8160 8320 8360 8398 8404 8448 8580 8704 8840 8976 9120 9152 9168 9690 9724 9728 9741 9880 9932 9984 10032 10336 10505 10560 10608 10659 10868 10880 10887 11220 11264 11440 11460 11856 11968 12155 12160 12224 12415 12480 12540 12597 12606 12920 12988 13056 13260 13312 13376 13585 13728 14080 14144 14212 14516 14586 14592 14820 14898 14960 15280 15360 15504 15808 16235 16302 16320 16640 16720 16796 16808 16896 17160 17408 17680 17765 17952 18145 18240 18304 18336 19380 19448 19456 19482 19760 19864 19968 20064 20672 20995 21010 21120 21216 21318 21736 21760 21774 22440 22880 22920 23712 23936 24310 24320 24448 24830 24960 25080 25194 25212 25840 25976 26112 26520 26752 27170 27313 27456 28160 28288 28424 29032 29172 29184 29640 29796 29920 30560 31008 31515 31616 32470 32604 32640 33280 33440 33592 33616 33792 34320 35360 35530 35717 35904 36290 36465 36480 36608 36672 37245 38760 38896 38964 39520 39728 39919 39936 40128 40755 41344 41990 42020 42211 42240 42432 42636 43472 43520 43548 44880 45760 45840 46189 47177 47424 47872 48620 48640 48705 48896 49660 49920 50160 50388 50424 51680 51952 52224 53040 53295 53504 54340 54435 54626 54912 56320 56576 56848 58064 58344 58368 59280 59592 59840 61120 61693 62016 62985 63030 63232 64940 65208 65280 66560 66880 67184 67232 68640 70720 71060 71434 71808 72580 72930 72960 73216 73344 74490 77520 77792 77928 79040 79456 79838 80256 81510 81939 82688 83980 84040 84422 84480 84864 85272 86944 87040 87096 89760 91520 91680 92378 94354 94848 95744 97240 97280 97410 97792 99320 99840 100320 100776 100848 103360 103904 106080 106590 107008 107151 108680 108870 109252 109824 113152 113696 116128 116688 118560 119184 119680 119757 122240 123386 124032 125970 126060 126464 126633 129880 130416 130560 133760 134368 134464 136565 137280 138567 141440 141531 142120 142868 143616 145160 145860 145920 146432 146688 148980 155040 155584 155856 158080 158912 159676 160512 163020 163878 165376 167960 168080 168844 168960 169728 170544 173888 174192 178585 179520 183040 183360 184756 185079 188708 189696 191488 194480 194820 195584 198640 199595 199680 200640 201552 201696 206720 207808 211055 212160 213180 214016 214302 217360 217740 218504 219648 226304 227392 230945 232256 233376 235885 237120 238368 239360 239514 244480 246772 248064 251940 252120 252928 253266 259760 260832 261120 267520 268736 268928 273130 274560 277134 282880 283062 284240 285736 287232 290320 291720 291840 293376 297960 308465 310080 311168 311712 316160 317824 319352 321024 326040 327756 330752 335920 336160 337688 339456 341088 347776 348384 357170 359040 366080 366720 369512 370158 377416 379392 388960 389640 397280 399190 401280 403104 403392 409695 413440 415616 422110 424320 426360 428604 434720 435480 437008 439296 454784 461890 464321 464512 466752 471770 474240 476736 478720 479028 488960 493544 496128 503880 504240 506532 518947 519520 521664 535040 535755 537472 537856 546260 549120 554268 565760 566124 568480 571472 574464 580640 583440 586752 595920 598785 616930 620160 622336 623424 632320 633165 635648 638704 642048 652080 655512 671840 672320 675376 678623 678912 682176 692835 695552 696768 707655 714340 718080 732160 733440 739024 740316 754832 758784 777920 779280 794560 798380 802009 802560 806208 806784 819390 826880 831232 844220 848640 852720 857208 869440 870960 874016 909568 923780 925395 928642 929024 933504 943540 948480 953472 957440 958056 977920 987088 992256 1007760 1008480 1013064 1037894 1039040 1043328 1070080 1071510 1074944 1075712 1092520 1098240 1108536 1131520 1132248 1136960 1142944 1161280 1166880 1191840 1197570 1233860 1240320 1244672 1246848 1264640 1266330 1271296 1277408 1304160 1311024 1343680 1344640 1350752 1357246 1364352 1385670 1391104 1392963 1393536 1415310 1428680 1436160 1466880 1478048 1480632 1509664 1555840 1556841 1558560 1589120 1596760 1604018 1605120 1612416 1613568 1638780 1653760 1662464 1688440 1697280 1705440 1714416 1738880 1741920 1748032 1819136 1847560 1850790 1857284 1858048 1867008 1887080 1896960 1906944 1916112 1974176 2015520 2016960 2026128 2035869 2075788 2078080 2086656 2143020 2149888 2151424 2185040 2196480 2217072 2264496 2273920 2285888 2321605 2322560 2333760 2383680 2395140 2406027 2467720 2480640 2489344 2493696 2532660 2542592 2554816 2594735 2608320 2622048 2687360 2689280 2701504 2714492 2728704 2771340 2782208 2785926 2787072 2830620 2857360 2872320 2933760 2956096 2961264 3019328 3111680 3113682 3117120 3178240 3193520 3208036 3210240 3224832 3227136 3277560 3324928 3376880 3393115 3394560 3410880 3428832 3477760 3483840 3496064 3638272 3695120 3701580 3714568 3716096 3734016 3774160 3793920 3813888 3832224 3948352 4010045 4031040 4033920 4052256 4071738 4151576 4156160 4173312 4286040 4299776 4370080 4434144 4528992 4547840 4571776 4643210 4645120 4667520 4767360 4790280 4812054 4935440 4961280 4987392 5065320 5109632 5189470 5216640 5244096 5374720 5378560 5403008 5428984 5457408 5542680 5571852 5574144 5661240 5714720 5912192 5922528 6038656 6223360 6227364 6234240 6356480 6387040 6416072 6449664 6454272 6555120 6753760 6786230 6821760 6857664 6955520 6964815 6967680 6992128 7390240 7403160 7429136 7468032 7548320 7627776 7664448 7784205 7896704 8020090 8062080 8067840 8104512 8143476 8303152 8312320 8346624 8572080 8740160 8822099 8868288 9057984 9095680 9143552 9286420 9290240 9335040 9534720 9580560 9624108 9870880 9974784 10130640 10179345 10219264 10378940 10433280 10488192 10749440 10757120 10806016 10857968 10914816 11085360 11143704 11148288 11322480 11429440 11824384 11845056 12030135 12077312 12446720 12454728 12468480 12712960 12774080 12832144 12899328 13110240 13507520 13572460 13643520 13715328 13911040 13929630 13935360 13984256 14780480 14806320 14858272 15096640 15328896 15568410 15793408 16040180 16124160 16135680 16209024 16286952 16606304 16624640 17144160 17480320 17644198 17736576 18115968 18191360 18287104 18572840 18580480 18670080 19069440 19161120 19248216 19741760 20261280 20358690 20438528 20757880 20866560 20976384 21498880 21612032 21715936 22170720 22287408 22644960 22858880 23648768 23690112 24060270 24154624 24909456 24936960 25548160 25664288 26220480 26466297 27015040 27144920 27287040 27430656 27859260 27870720 27968512 29560960 29612640 29716544 30193280 30657792 31136820 31586816 32080360 32248320 32271360 32418048 32573904 33212608 34288320 34960640 35288396 35473152 36231936 36574208 37145680 37340160 38138880 38322240 38496432 39483520 40522560 40717380 40877056 41515760 41733120 41952768 43224064 43431872 44110495 44341440 44574816 45289920 45717760 47297536 47380224 48120540 48309248 49818912 49873920 51096320 51328576 52440960 52932594 54030080 54289840 54574080 54861312 55718520 55741440 59121920 59225280 59433088 60386560 61315584 62273640 63173632 64160720 64496640 64836096 65147808 66425216 68576640 69921280 70576792 70946304 72463872 74291360 76644480 76992864 78967040 81045120 81434760 83031520 83905536 86863744 88220990 88682880 89149632 90579840 91435520 94760448 96241080 99637824 102192640 102657152 104881920 105865188 108060160 108579680 109722624 111437040 118243840 118450560 118866176 120773120 122631168 124547280 128321440 129672192 130295616 132331485 132850432 137153280 139842560 141153584 141892608 144927744 148582720 153288960 153985728 157934080 162090240 162869520 166063040 173727488 176441980 177365760 178299264 181159680 182871040 189520896 192482160 199275648 204385280 205314304 209763840 211730376 216120320 217159360 222874080 236487680 236901120 237732352 241546240 249094560 256642880 260591232 264662970 265700864 274306560 282307168 297165440 306577920 307971456 315868160 324180480 325739040 332126080 347454976 352883960 354731520 356598528 362319360 384964320 398551296 410628608 419527680 423460752 434318720 445748160 473802240 475464704 498189120 513285760 521182464 529325940 531401728 548613120 564614336 594330880 613155840 615942912 648360960 651478080 664252160 694909952 705767920 709463040 713197056 724638720 769928640 797102592 821257216 846921504 868637440 891496320 947604480 996378240 1026571520 1042364928 1058651880 1129228672 1188661760 1231885824 1302956160 1328504320 1411535840 1426394112 1539857280 1594205184 1693843008 1737274880 1782992640 1992756480 2053143040 2084729856 2117303760 2258457344 2377323520 2463771648 2605912320 2657008640 2823071680 3079714560 3387686016 3474549760 3565985280 3985512960 4106286080 4234607520 4516914688 5211824640 5646143360 6159429120 6775372032 7131970560 7971025920 8469215040 9033829376 10423649280 11292286720 12318858240 13550744064 16938430080 22584573440 27101488128 33876860160 45169146880 67753720320 135507440640
- Sum of all divisors σ(n): 570482196480
- Sum of proper divisors (its aliquot sum) s(n): 434974755840
- 135507440640 is an abundant number, because the sum of its proper divisors (434974755840) is greater than itself. Its abundance is 299467315200
Bases of 135507440640
- Binary: 11111100011001101111101110100000000002
- Hexadecimal: 0x1F8CDF7400
- Base-36: 1Q91MQDC
Squares and roots of 135507440640
- 135507440640 squared (1355074406402) is 18362266468803123609600
- 135507440640 cubed (1355074406403) is 2488223733537201684374454534144000
-
The
square root of 135507440640 is 368113.3529770415 -
The
cube root of 135507440640 is 5136.3472945733
Scales and comparisons
How big is 135507440640?- 135,507,440,640 seconds is equal to 4,308 years, 37 weeks, 2 days, 3 hours, 44 minutes.
-
To count from 1 to 135,507,440,640 would take you about eight thousand, six hundred seventeen 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 135507440640 cubic inches would be around 428 feet tall.
Recreational maths with 135507440640
- 135507440640 backwards is 046044705531
- 135507440640 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135507440640's digits is 39
- 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 135507440640 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 135507440640 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/135507440640/
Chicago style:
Numbermatics. 2024. "Number 135507440640 - Facts about the integer". https://numbermatics.com/n/135507440640/
The information we have on file for 135507440640 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 135507440640, math, Factors of 135507440640, curriculum, school, college, exams, university, Prime factorization of 135507440640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, five hundred seven million, four hundred forty thousand, six hundred forty.