135137431296
135,137,431,296 is an even composite number composed of seven prime numbers multiplied together.
135137431296 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135137431296:
28 × 33 × 7 × 19 × 29 × 37 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 29 × 37 × 137)See below for interesting mathematical facts about the number 135137431296 from the Numbermatics database.
Names of 135137431296
- Cardinal: 135137431296 can be written as One hundred thirty-five billion, one hundred thirty-seven million, four hundred thirty-one thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.35137431296 × 1011
Factors of 135137431296
Divisors of 135137431296
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 29 32 36 37 38 42 48 54 56 57 58 63 64 72 74 76 84 87 96 108 111 112 114 116 126 128 133 137 144 148 152 168 171 174 189 192 203 216 222 224 228 232 252 256 259 261 266 274 288 296 304 333 336 342 348 378 384 399 406 411 432 444 448 456 464 504 513 518 522 532 548 551 576 592 608 609 666 672 684 696 703 756 768 777 783 798 812 822 864 888 896 912 928 959 999 1008 1026 1036 1044 1064 1073 1096 1102 1152 1184 1197 1216 1218 1233 1332 1344 1368 1392 1406 1512 1554 1566 1596 1624 1644 1653 1728 1776 1792 1824 1827 1856 1918 1998 2016 2052 2072 2088 2109 2128 2146 2192 2204 2304 2331 2368 2394 2432 2436 2466 2603 2664 2688 2736 2784 2812 2877 3024 3108 3132 3192 3219 3248 3288 3306 3456 3552 3591 3648 3654 3699 3712 3836 3857 3973 3996 4032 4104 4144 4176 4218 4256 4292 4384 4408 4662 4736 4788 4864 4872 4921 4932 4959 5069 5206 5328 5376 5472 5481 5568 5624 5754 6048 6216 6264 6327 6384 6438 6496 6576 6612 6912 6993 7104 7182 7296 7308 7398 7424 7511 7672 7714 7809 7946 7992 8064 8208 8288 8352 8436 8512 8584 8631 8768 8816 9324 9472 9576 9657 9744 9842 9864 9918 10138 10412 10656 10944 10962 11136 11248 11508 11571 11919 12096 12432 12528 12654 12768 12876 12992 13152 13224 13986 14208 14364 14592 14616 14763 14796 14877 15022 15207 15344 15428 15618 15892 15984 16128 16416 16576 16704 16872 17024 17168 17262 17536 17632 18221 18648 18981 19152 19314 19488 19684 19728 19836 20276 20387 20824 21312 21888 21924 22272 22496 22533 23016 23142 23427 23838 24192 24864 25056 25308 25536 25752 25893 25984 26304 26448 27811 27972 28416 28728 28971 29232 29526 29592 29754 30044 30414 30688 30856 31236 31784 31968 32832 33152 33408 33744 34048 34336 34524 34713 35072 35264 35483 35757 36442 37296 37962 38304 38628 38976 39368 39456 39672 40552 40774 41648 42624 43776 43848 44289 44992 45066 45621 46032 46284 46854 47676 48384 49728 50112 50616 51072 51504 51786 51968 52608 52896 54663 55622 55944 57456 57942 58464 59052 59184 59508 60088 60828 61161 61376 61712 62472 63568 63936 65664 66304 66816 67488 67599 68672 69048 69426 70281 70528 70966 71514 72884 74592 75487 75924 76608 77256 77952 78736 78912 79344 81104 81548 83296 83433 85248 87696 88578 89984 90132 91242 92064 92568 93708 95352 96311 99456 100224 101232 102144 103008 103572 104139 105216 105792 106449 107271 109326 111244 111888 114912 115884 116928 118104 118368 119016 120176 121656 122322 122752 123424 124944 127136 127872 131328 132867 134976 135198 136863 137344 138096 138852 140562 141056 141932 142709 143028 145768 147001 149184 150974 151848 153216 154512 155904 157472 157824 158688 162208 163096 163989 166592 166866 175392 177156 179968 180264 182484 183483 184128 185136 187416 190704 192622 198912 200448 202464 202797 206016 207144 208278 211584 212898 214542 218652 222488 223776 226461 229824 231768 233856 236208 236736 238032 240352 243312 244644 245504 246848 249888 250299 254272 255744 265734 269952 270396 273726 274688 276192 277704 281124 283864 285418 286056 288933 291536 294002 298368 301948 303696 306432 309024 314944 315648 317376 319347 324416 326192 327978 333184 333732 350784 354312 360528 364968 366966 368256 370272 374832 381408 385244 404928 405594 412032 414288 416556 423168 425796 428127 429084 437304 441003 444976 447552 452922 459648 463536 467712 472416 473472 476064 480704 486624 489288 491967 493696 499776 500598 508544 528409 531468 539904 540792 547452 550449 552384 555408 562248 567728 570836 572112 577866 583072 588004 596736 603896 607392 618048 629888 634752 638694 648832 652384 655956 666368 667464 674177 679383 701568 708624 721056 729936 733932 736512 740544 749664 750897 762816 770488 809856 811188 824064 828576 833112 851592 856254 858168 866799 874608 882006 889952 895104 905844 919296 927072 944832 946944 952128 958041 961408 973248 978576 983934 987392 999552 1001196 1017088 1029007 1056818 1062936 1081584 1094904 1100898 1104768 1110816 1124496 1135456 1141672 1144224 1155732 1166144 1176008 1207792 1214784 1236096 1259776 1269504 1277388 1284381 1297664 1304768 1311912 1323009 1334928 1348354 1358766 1403136 1417248 1442112 1459872 1467864 1481088 1499328 1501794 1525632 1540976 1585227 1619712 1622376 1657152 1666224 1703184 1712508 1716336 1733598 1749216 1764012 1779904 1790208 1811688 1854144 1889664 1904256 1916082 1922816 1946496 1957152 1967868 1999104 2002392 2022531 2038149 2058014 2113636 2125872 2163168 2189808 2201796 2209536 2221632 2248992 2270912 2283344 2288448 2311464 2332288 2352016 2415584 2429568 2472192 2554776 2568762 2600397 2609536 2623824 2646018 2669856 2696708 2717532 2793019 2834496 2884224 2919744 2935728 2962176 2998656 3003588 3051264 3081952 3087021 3170454 3244752 3314304 3332448 3406368 3425016 3432672 3467196 3498432 3528024 3559808 3623376 3708288 3779328 3808512 3832164 3853143 3892992 3914304 3935736 3969027 4004784 4045062 4076298 4116028 4227272 4251744 4326336 4379616 4403592 4443264 4497984 4541824 4566688 4576896 4622928 4664576 4704032 4755681 4831168 4859136 5109552 5137524 5200794 5219072 5247648 5292036 5339712 5393416 5435064 5586038 5668992 5768448 5839488 5871456 5997312 6007176 6067593 6163904 6174042 6340908 6489504 6628608 6664896 6812736 6850032 6865344 6934392 6996864 7056048 7119616 7246752 7416576 7664328 7706286 7828608 7871472 7938054 8009568 8090124 8152596 8232056 8379057 8454544 8503488 8652672 8759232 8807184 8886528 8995968 9083648 9133376 9153792 9245856 9261063 9408064 9511362 9662336 10219104 10275048 10401588 10495296 10584072 10679424 10786832 10870128 11172076 11337984 11678976 11742912 12014352 12135186 12327808 12348084 12681816 12979008 13329792 13625472 13700064 13730688 13868784 13993728 14112096 14267043 14493504 15328656 15412572 15657216 15742944 15876108 16019136 16180248 16305192 16464112 16758114 16909088 17006976 17305344 17518464 17614368 17991936 18202779 18266752 18491712 18522126 18816128 19022724 19324672 19551133 20438208 20550096 20803176 20990592 21168144 21358848 21573664 21740256 22344152 23485824 24028704 24270372 24655616 24696168 25137171 25363632 25958016 26659584 27250944 27400128 27461376 27737568 27783189 28224192 28534086 28987008 30657312 30825144 31485888 31752216 32038272 32360496 32610384 32928224 33516228 33818176 34013952 35036928 35228736 36405558 36533504 36983424 37044252 37632256 38045448 39102266 40876416 41100192 41606352 41981184 42336288 43147328 43480512 44688304 46971648 48057408 48540744 49392336 50274342 50727264 51916032 54800256 55475136 55566378 56448384 57068172 57974016 58653399 61314624 61650288 62971776 63504432 64076544 64720992 65220768 65856448 67032456 67636352 70457472 72811116 73966848 74088504 75411513 76090896 78204532 81752832 82200384 83212704 84672576 86294656 86961024 89376608 96114816 97081488 98784672 100548684 101454528 109600512 110950272 111132756 112896768 114136344 117306798 122629248 123300576 125943552 127008864 129441984 130441536 131712896 134064912 135272704 140914944 145622232 148177008 150823026 152181792 156409064 164400768 166425408 169345152 172589312 173922048 175960197 178753216 192229632 194162976 197569344 201097368 202909056 221900544 222265512 228272688 234613596 245258496 246601152 254017728 258883968 260883072 263425792 268129824 291244464 296354016 301646052 304363584 312818128 328801536 332850816 338690304 351920394 357506432 388325952 395138688 402194736 405818112 444531024 456545376 469227192 493202304 508035456 517767936 521766144 527880591 536259648 582488928 592708032 603292104 608727168 625636256 665701632 703840788 715012864 776651904 790277376 804389472 889062048 913090752 938454384 986404608 1016070912 1055761182 1072519296 1164977856 1185416064 1206584208 1217454336 1251272512 1407681576 1553303808 1608778944 1778124096 1826181504 1876908768 2111522364 2145038592 2329955712 2370832128 2413168416 2502545024 2815363152 3217557888 3556248192 3652363008 3753817536 4223044728 4659911424 4826336832 5005090048 5630726304 6435115776 7112496384 7507635072 8446089456 9652673664 11261452608 15015270144 16892178912 19305347328 22522905216 33784357824 45045810432 67568715648 135137431296
- Sum of all divisors σ(n): 514499328000
- Sum of proper divisors (its aliquot sum) s(n): 379361896704
- 135137431296 is an abundant number, because the sum of its proper divisors (379361896704) is greater than itself. Its abundance is 244224465408
Bases of 135137431296
- Binary: 11111011101101101000110001111000000002
- Hexadecimal: 0x1F76D18F00
- Base-36: 1Q2XC5C0
Squares and roots of 135137431296
- 135137431296 squared (1351374312962) is 18262125337281120239616
- 135137431296 cubed (1351374312963) is 2467896708085768213819022257422336
-
The
square root of 135137431296 is 367610.4341500659 -
The
cube root of 135137431296 is 5131.6680215859
Scales and comparisons
How big is 135137431296?- 135,137,431,296 seconds is equal to 4,296 years, 49 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 135,137,431,296 would take you about eight thousand, five hundred ninety-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 135137431296 cubic inches would be around 427.6 feet tall.
Recreational maths with 135137431296
- 135137431296 backwards is 692134731531
- The number of decimal digits it has is: 12
- The sum of 135137431296's digits is 45
- More coming soon!
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The information we have on file for 135137431296 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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