135988312320
135,988,312,320 is an even composite number composed of six prime numbers multiplied together.
What does the number 135988312320 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
135988312320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135988312320:
28 × 33 × 5 × 72 × 131 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 131 × 613)See below for interesting mathematical facts about the number 135988312320 from the Numbermatics database.
Names of 135988312320
- Cardinal: 135988312320 can be written as One hundred thirty-five billion, nine hundred eighty-eight million, three hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3598831232 × 1011
Factors of 135988312320
Divisors of 135988312320
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 84 90 96 98 105 108 112 120 126 128 131 135 140 144 147 160 168 180 189 192 196 210 216 224 240 245 252 256 262 270 280 288 294 315 320 336 360 378 384 392 393 420 432 441 448 480 490 504 524 540 560 576 588 613 630 640 655 672 720 735 756 768 784 786 840 864 882 896 917 945 960 980 1008 1048 1080 1120 1152 1176 1179 1226 1260 1280 1310 1323 1344 1440 1470 1512 1568 1572 1680 1728 1764 1792 1834 1839 1890 1920 1960 1965 2016 2096 2160 2205 2240 2304 2352 2358 2452 2520 2620 2646 2688 2751 2880 2940 3024 3065 3136 3144 3360 3456 3528 3537 3668 3678 3780 3840 3920 3930 4032 4192 4291 4320 4410 4480 4585 4704 4716 4904 5040 5240 5292 5376 5502 5517 5760 5880 5895 6048 6130 6272 6288 6419 6615 6720 6912 7056 7074 7336 7356 7560 7840 7860 8064 8253 8384 8582 8640 8820 8960 9170 9195 9408 9432 9808 10080 10480 10584 11004 11034 11520 11760 11790 12096 12260 12544 12576 12838 12873 13230 13440 13755 14112 14148 14672 14712 15120 15680 15720 16128 16506 16551 16768 17164 17280 17640 17685 18340 18390 18816 18864 19257 19616 20160 20960 21168 21455 22008 22068 23520 23580 24192 24520 24759 25152 25676 25746 26460 26880 27510 27585 28224 28296 29344 29424 30037 30240 31360 31440 32095 33012 33102 33536 34328 34560 35280 35370 36680 36780 37632 37728 38514 38619 39232 40320 41265 41920 42336 42910 44016 44136 47040 47160 48384 49040 49518 50304 51352 51492 52920 55020 55170 56448 56592 57771 58688 58848 60074 60480 62720 62880 64190 64365 66024 66204 68656 70560 70740 73360 73560 75456 77028 77238 78464 80303 80640 82530 82755 83840 84672 85820 88032 88272 90111 94080 94320 96285 98080 99036 100608 102704 102984 105840 110040 110340 112896 113184 115542 115857 117376 117696 120148 120960 123795 125760 128380 128730 132048 132408 137312 141120 141480 146720 147120 150185 150912 154056 154476 156928 160606 165060 165510 167680 169344 171640 173313 176064 176544 180222 188160 188640 192570 193095 196160 198072 205408 205968 211680 220080 220680 226368 231084 231714 234752 235392 240296 240909 241920 247590 251520 256760 257460 264096 264816 270333 274624 282240 282960 288855 293440 294240 300370 301824 308112 308952 321212 330120 331020 338688 343280 346626 352128 353088 360444 377280 385140 386190 392320 396144 401515 410816 411936 423360 440160 441360 450555 452736 462168 463428 470784 480592 481818 495180 503040 513520 514920 528192 529632 540666 549248 562121 564480 565920 577710 579285 586880 588480 600740 616224 617904 642424 660240 662040 686560 693252 704256 706176 720888 722727 754560 770280 772380 784640 792288 803030 810999 821632 823872 846720 866565 880320 882720 901110 905472 924336 926856 961184 963636 990360 1027040 1029840 1056384 1059264 1081332 1098496 1124242 1131840 1155420 1158570 1173760 1176960 1201480 1204545 1232448 1235808 1284848 1320480 1324080 1351665 1373120 1386504 1412352 1441776 1445454 1509120 1540560 1544760 1584576 1606060 1621998 1643264 1647744 1686363 1693440 1733130 1760640 1765440 1802220 1848672 1853712 1922368 1927272 1980720 2054080 2059680 2112768 2118528 2162664 2168181 2248484 2263680 2310840 2317140 2353920 2402960 2409090 2464896 2471616 2569696 2640960 2648160 2703330 2746240 2773008 2810605 2883552 2890908 3081120 3089520 3169152 3212120 3243996 3295488 3372726 3466260 3521280 3530880 3604440 3613635 3697344 3707424 3844736 3854544 3934847 3961440 4054995 4108160 4119360 4237056 4325328 4336362 4496968 4527360 4621680 4634280 4805920 4818180 4929792 4943232 5059089 5139392 5281920 5296320 5406660 5492480 5546016 5621210 5767104 5781816 6162240 6179040 6338304 6424240 6487992 6745452 6932520 7061760 7208880 7227270 7394688 7414848 7689472 7709088 7869694 7922880 8109990 8216320 8238720 8431815 8650656 8672724 8993936 9243360 9268560 9611840 9636360 9886464 10118178 10278784 10563840 10592640 10813320 10840905 11092032 11242420 11534208 11563632 11804541 12324480 12358080 12848480 12975984 13490904 13865040 14417760 14454540 14789376 14829696 15177267 15418176 15739388 15845760 16219980 16477440 16863630 17301312 17345448 17987872 18486720 18537120 19223680 19272720 19674235 20236356 20557568 21185280 21626640 21681810 22184064 22484840 23068416 23127264 23609082 24648960 24716160 25295445 25696960 25951968 26981808 27730080 28835520 28909080 29659392 30354534 30836352 31478776 31691520 32439960 33727260 34602624 34690896 35413623 35975744 36973440 37074240 38447360 38545440 39348470 40472712 43253280 43363620 44368128 44969680 46254528 47218164 49432320 50590890 51393920 51903936 53963616 55460160 57671040 57818160 59022705 60709068 61672704 62957552 64879920 67454520 69205248 69381792 70827246 71951488 73946880 74148480 75886335 77090880 78696940 80945424 86506560 86727240 89939360 92509056 94436328 101181780 102787840 103807872 106240869 107927232 110920320 115342080 115636320 118045410 121418136 125915104 129759840 134909040 138763584 141654492 143902976 148296960 151772670 154181760 157393880 161890848 173013120 173454480 177068115 179878720 185018112 188872656 202363560 207615744 212481738 215854464 221840640 231272640 236090820 242836272 251830208 259519680 269818080 277527168 283308984 303545340 308363520 314787760 323781696 346026240 346908960 354136230 359757440 377745312 404727120 424963476 431708928 462545280 472181640 485672544 503660416 519039360 531204345 539636160 555054336 566617968 607090680 629575520 647563392 693817920 708272460 719514880 755490624 809454240 849926952 925090560 944363280 971345088 1007320832 1038078720 1062408690 1079272320 1133235936 1214181360 1259151040 1295126784 1387635840 1416544920 1510981248 1618908480 1699853904 1888726560 1942690176 2124817380 2158544640 2266471872 2428362720 2518302080 2775271680 2833089840 3021962496 3237816960 3399707808 3777453120 3885380352 4249634760 4532943744 4856725440 5036604160 5666179680 6475633920 6799415616 7554906240 8499269520 9065887488 9713450880 11332359360 13598831232 15109812480 16998539040 19426901760 22664718720 27197662464 33997078080 45329437440 67994156160 135988312320
- Sum of all divisors σ(n): 566564423040
- Sum of proper divisors (its aliquot sum) s(n): 430576110720
- 135988312320 is an abundant number, because the sum of its proper divisors (430576110720) is greater than itself. Its abundance is 294587798400
Bases of 135988312320
- Binary: 11111101010011000100011111001000000002
- Hexadecimal: 0x1FA988F900
- Base-36: 1QGZXHC0
Squares and roots of 135988312320
- 135988312320 squared (1359883123202) is 18492821087641863782400
- 135988312320 cubed (1359883123203) is 2514807529744123864347907719168000
-
The
square root of 135988312320 is 368765.9316151641 -
The
cube root of 135988312320 is 5142.4158618197
Scales and comparisons
How big is 135988312320?- 135,988,312,320 seconds is equal to 4,324 years, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 135,988,312,320 would take you about eight thousand, six hundred forty-eight 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 135988312320 cubic inches would be around 428.5 feet tall.
Recreational maths with 135988312320
- 135988312320 backwards is 023213889531
- 135988312320 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135988312320's digits is 45
- More coming soon!
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