130688438083200
130,688,438,083,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 130688438083200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
130688438083200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 130688438083200:
27 × 35 × 52 × 312 × 47 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 47 × 61 × 61)See below for interesting mathematical facts about the number 130688438083200 from the Numbermatics database.
Names of 130688438083200
- Cardinal: 130688438083200 can be written as One hundred thirty trillion, six hundred eighty-eight billion, four hundred thirty-eight million, eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.306884380832 × 1014
Factors of 130688438083200
Divisors of 130688438083200
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 47 48 50 54 60 61 62 64 72 75 80 81 90 93 94 96 100 108 120 122 124 128 135 141 144 150 155 160 162 180 183 186 188 192 200 216 225 235 240 243 244 248 270 279 282 288 300 305 310 320 324 360 366 372 376 384 400 405 423 432 450 465 470 480 486 488 496 540 549 558 564 576 600 610 620 640 648 675 705 720 732 744 752 775 800 810 837 846 864 900 915 930 940 960 961 972 976 992 1080 1098 1116 1128 1152 1175 1200 1215 1220 1240 1269 1296 1350 1395 1410 1440 1457 1464 1488 1504 1525 1550 1600 1620 1647 1674 1692 1728 1800 1830 1860 1880 1891 1920 1922 1944 1952 1984 2025 2115 2160 2196 2232 2256 2325 2350 2400 2430 2440 2480 2511 2538 2592 2700 2745 2790 2820 2867 2880 2883 2914 2928 2976 3008 3050 3100 3200 3240 3294 3348 3384 3456 3525 3600 3660 3720 3721 3760 3782 3807 3844 3888 3904 3968 4050 4185 4230 4320 4371 4392 4464 4512 4575 4650 4700 4800 4805 4860 4880 4941 4960 5022 5076 5184 5400 5490 5580 5640 5673 5734 5760 5766 5828 5856 5952 6016 6075 6100 6200 6345 6480 6588 6696 6768 6975 7050 7200 7285 7320 7440 7442 7520 7533 7564 7614 7688 7776 7808 8100 8235 8370 8460 8601 8640 8649 8742 8784 8928 9024 9150 9300 9400 9455 9600 9610 9720 9760 9882 9920 10044 10152 10368 10575 10800 10980 11160 11163 11280 11346 11421 11468 11532 11656 11712 11904 12150 12200 12400 12555 12690 12960 13113 13176 13392 13536 13725 13950 14100 14335 14400 14415 14570 14640 14823 14880 14884 15040 15066 15128 15228 15376 15552 16200 16470 16740 16920 17019 17202 17280 17298 17484 17568 17856 18048 18300 18600 18605 18800 18910 19035 19220 19440 19520 19764 19840 20088 20304 20925 21150 21600 21855 21960 22320 22326 22560 22692 22842 22936 23064 23312 23424 24025 24300 24400 24705 24800 25110 25380 25803 25920 25947 26226 26352 26784 27072 27450 27900 28200 28365 28670 28800 28830 29140 29280 29646 29760 29768 30080 30132 30256 30456 30752 31104 31725 32400 32940 33480 33489 33840 34038 34404 34596 34968 35136 35712 36425 36600 37200 37210 37600 37665 37820 38070 38440 38880 39040 39339 39528 40176 40608 41175 41850 42300 43005 43200 43245 43710 43920 44640 44652 45120 45167 45384 45684 45872 46128 46624 47275 48050 48600 48800 49410 49600 50220 50760 51057 51606 51840 51894 52452 52704 53568 54144 54900 55800 55815 56400 56730 57105 57340 57660 58280 58560 58621 59292 59520 59536 60264 60512 60912 61504 62775 63450 64800 65565 65880 66960 66978 67680 68076 68808 69192 69936 70272 71675 72075 72850 73200 74115 74400 74420 75200 75330 75640 76140 76880 77409 77760 77841 78678 79056 80352 81216 82350 83700 84600 85095 86010 86400 86490 87420 87840 88877 89280 89304 90240 90334 90768 91368 91744 92256 93025 93248 94550 95175 96100 97200 97600 98820 99200 100440 100467 101520 102114 103212 103788 104904 105408 107136 109275 109800 111600 111630 112800 113460 114210 114680 115320 115351 116560 117120 117242 118017 118584 119072 120528 121024 121824 123008 123525 125550 126900 129015 129600 129735 131130 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54453515868 55612101312 56210080896 57929272200 58552167600 59512039200 60503906520 61791223680 64537500288 65871188550 66951044100 67226562800 67996065600 68066894835 69110755200 69515126640 70262601120 71414447040 72604687824 75629883150 77239029600 78069556800 79349385600 80671875360 81680273802 84315121344 85697336448 86893908300 87828251400 89268058800 89696937600 90755859780 92686835520 93683468160 96806250432 100839844200 102985372800 105393901680 107121670560 107562500480 108907031736 111224202624 113444824725 115858544400 117104335200 119024078400 121007813040 131742377100 133902088200 134453125600 135992131200 136133789670 139030253280 140525202240 142828894080 145209375648 151259766300 154478059200 156139113600 161343750720 163360547604 168630242688 173787816600 175656502800 178536117600 181511719560 185373671040 193612500864 201679688400 204200684505 210787803360 214243341120 217814063472 226889649450 231717088800 234208670400 238048156800 242015626080 263484754200 267804176400 268906251200 272267579340 278060506560 281050404480 290418751296 302519532600 308956118400 322687501440 326721095208 340334474175 347575633200 351313005600 357072235200 363023439120 403359376800 408401369010 421575606720 428486682240 435628126944 453779298900 463434177600 468417340800 484031252160 526969508400 535608352800 537812502400 544535158680 556121013120 580837502592 605039065200 653442190416 680668948350 695151266400 702626011200 714144470400 726046878240 806718753600 816802738020 843151213440 871256253888 907558597800 926868355200 968062504320 1021003422525 1053939016800 1071216705600 1089070317360 1210078130400 1306884380832 1361337896700 1390302532800 1405252022400 1452093756480 1613437507200 1633605476040 1742512507776 1815117195600 2042006845050 2107878033600 2142433411200 2178140634720 2420156260800 2613768761664 2722675793400 2780605065600 2904187512960 3267210952080 3630234391200 4084013690100 4215756067200 4356281269440 4840312521600 5227537523328 5445351586800 6534421904160 7260468782400 8168027380200 8712562538880 10890703173600 13068843808320 14520937564800 16336054760400 21781406347200 26137687616640 32672109520800 43562812694400 65344219041600 130688438083200
- Sum of all divisors σ(n): 518835979247040
- Sum of proper divisors (its aliquot sum) s(n): 388147541163840
- 130688438083200 is an abundant number, because the sum of its proper divisors (388147541163840) is greater than itself. Its abundance is 257459103080640
Bases of 130688438083200
- Binary: 111011011011100010001011110110110011110100000002
- Hexadecimal: 0x76DC45ED9E80
- Base-36: 1ABPFTRC00
Squares and roots of 130688438083200
- 130688438083200 squared (1306884380832002) is 17079467848626400090122240000
- 130688438083200 cubed (1306884380832003) is 2232088976429216398346851262159290368000000
-
The
square root of 130688438083200 is 11431904.3944217799 -
The
cube root of 130688438083200 is 50747.2355611261
Scales and comparisons
How big is 130688438083200?- 130,688,438,083,200 seconds is equal to 4,155,488 years, 4 weeks, 3 days.
-
To count from 1 to 130,688,438,083,200 would take you about ten million, three hundred eighty-eight thousand, seven hundred twenty 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 130688438083200 cubic inches would be around 4228.9 feet tall.
Recreational maths with 130688438083200
- 130688438083200 backwards is 002380834886031
- 130688438083200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130688438083200's digits is 54
- More coming soon!
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"Number 130688438083200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 130688438083200 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/130688438083200/
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The information we have on file for 130688438083200 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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