131238206400
131,238,206,400 is an even composite number composed of seven prime numbers multiplied together.
131238206400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 131238206400:
26 × 3 × 52 × 7 × 67 × 97 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 67 × 97 × 601)See below for interesting mathematical facts about the number 131238206400 from the Numbermatics database.
Names of 131238206400
- Cardinal: 131238206400 can be written as One hundred thirty-one billion, two hundred thirty-eight million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.312382064 × 1011
Factors of 131238206400
Divisors of 131238206400
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 67 70 75 80 84 96 97 100 105 112 120 134 140 150 160 168 175 192 194 200 201 210 224 240 268 280 291 300 320 335 336 350 388 400 402 420 448 469 480 485 525 536 560 582 600 601 670 672 679 700 776 800 804 840 938 960 970 1005 1050 1072 1120 1164 1200 1202 1340 1344 1358 1400 1407 1455 1552 1600 1608 1675 1680 1803 1876 1940 2010 2037 2100 2144 2240 2328 2345 2400 2404 2425 2680 2716 2800 2814 2910 3005 3104 3216 3350 3360 3395 3606 3752 3880 4020 4074 4200 4207 4288 4656 4690 4800 4808 4850 5025 5360 5432 5600 5628 5820 6010 6208 6432 6499 6700 6720 6790 7035 7212 7275 7504 7760 8040 8148 8400 8414 9015 9312 9380 9616 9700 10050 10185 10720 10864 11200 11256 11640 11725 12020 12621 12864 12998 13400 13580 14070 14424 14550 15008 15025 15520 16080 16296 16800 16828 16975 18030 18624 18760 19232 19400 19497 20100 20370 21035 21440 21728 22512 23280 23450 24040 25242 25996 26800 27160 28140 28848 29100 30016 30050 31040 32160 32495 32592 33600 33656 33950 35175 36060 37520 38464 38800 38994 40200 40267 40740 42070 43456 45024 45075 45493 46560 46900 48080 50484 50925 51992 53600 54320 56280 57696 58200 58297 60100 63105 64320 64990 65184 67312 67900 70350 72120 75040 77600 77988 80400 80534 81480 84140 90048 90150 90986 93120 93800 96160 97485 100968 101850 103984 105175 107200 108640 112560 115392 116400 116594 120200 120801 126210 129980 130368 134624 135800 136479 140700 144240 150080 155200 155976 160800 161068 162475 162960 168280 174891 180300 181972 187600 192320 194970 201335 201936 203700 207968 210350 217280 225120 227465 232800 233188 240400 241602 252420 259960 269248 271600 272958 281400 281869 288480 291485 311952 315525 321600 322136 324950 325920 336560 349782 360600 363944 375200 389940 402670 403872 407400 408079 415936 420700 450240 454930 465600 466376 480800 483204 487425 504840 519920 543200 545916 562800 563738 576960 582970 604005 623904 631050 644272 649900 651840 673120 682395 699564 721200 727888 750400 779880 805340 807744 814800 816158 841400 845607 874455 909860 932752 961600 966408 974850 1006675 1009680 1039840 1086400 1091832 1125600 1127476 1137325 1165940 1208010 1224237 1247808 1262100 1288544 1299800 1346240 1364790 1399128 1409345 1442400 1455776 1457425 1559760 1610680 1629600 1632316 1682800 1691214 1748910 1819720 1865504 1932816 1949700 2013350 2019360 2040395 2079680 2183664 2251200 2254952 2274650 2331880 2416020 2448474 2524200 2577088 2599600 2729580 2798256 2818690 2884800 2911552 2914850 3020025 3119520 3221360 3259200 3264632 3365600 3382428 3411975 3497820 3639440 3731008 3865632 3899400 3905899 4026700 4038720 4080790 4228035 4367328 4372275 4509904 4549300 4663760 4832040 4896948 5048400 5199200 5459160 5596512 5637380 5829700 6040050 6121185 6239040 6442720 6529264 6731200 6764856 6823950 6995640 7046725 7278880 7731264 7798800 7811798 8053400 8161580 8456070 8734656 8744550 9019808 9098600 9327520 9664080 9793896 10096800 10201975 10398400 10918320 11193024 11274760 11659400 11717697 12080100 12242370 12885440 13058528 13529712 13647900 13991280 14093450 14557760 15597600 15623596 16106800 16323160 16912140 17489100 18039616 18197200 18655040 19328160 19529495 19587792 20193600 20403950 21140175 21836640 22549520 23318800 23435394 24160200 24484740 26117056 27059424 27295800 27341293 27982560 28186900 30605925 31195200 31247192 32213600 32646320 33824280 34978200 36394400 38656320 39058990 39175584 40807900 42280350 43673280 45099040 46637600 46870788 48320400 48969480 54118848 54591600 54682586 55965120 56373800 58588485 61211850 62494384 64427200 65292640 67648560 69956400 72788800 78117980 78351168 81615800 82023879 84560700 90198080 93275200 93741576 96640800 97647475 97938960 109183200 109365172 112747600 117176970 122423700 124988768 130585280 135297120 136706465 139912800 156235960 163231600 164047758 169121400 187483152 193281600 195294950 195877920 218366400 218730344 225495200 234353940 244847400 249977536 270594240 273412930 279825600 292942425 312471920 326463200 328095516 338242800 374966304 390589900 391755840 410119395 437460688 450990400 468707880 489694800 546825860 585884850 624943840 652926400 656191032 676485600 683532325 749932608 781179800 820238790 874921376 937415760 979389600 1093651720 1171769700 1249887680 1312382064 1352971200 1367064650 1562359600 1640477580 1749842752 1874831520 1958779200 2050596975 2187303440 2343539400 2624764128 2734129300 3124719200 3280955160 3749663040 4101193950 4374606880 4687078800 5249528256 5468258600 6249438400 6561910320 8202387900 8749213760 9374157600 10936517200 13123820640 16404775800 18748315200 21873034400 26247641280 32809551600 43746068800 65619103200 131238206400
- Sum of all divisors σ(n): 505413540352
- Sum of proper divisors (its aliquot sum) s(n): 374175333952
- 131238206400 is an abundant number, because the sum of its proper divisors (374175333952) is greater than itself. Its abundance is 242937127552
Bases of 131238206400
- Binary: 11110100011100110100000011011110000002
- Hexadecimal: 0x1E8E681BC0
- Base-36: 1OAFU85C
Squares and roots of 131238206400
- 131238206400 squared (1312382064002) is 17223466819089000960000
- 131238206400 cubed (1312382064003) is 2260376893327153767958278144000000
-
The
square root of 131238206400 is 362268.1415747183 -
The
cube root of 131238206400 is 5081.8295639965
Scales and comparisons
How big is 131238206400?- 131,238,206,400 seconds is equal to 4,172 years, 50 weeks, 2 days, 17 hours, 20 minutes.
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To count from 1 to 131,238,206,400 would take you about eight thousand, three hundred forty-five 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 131238206400 cubic inches would be around 423.5 feet tall.
Recreational maths with 131238206400
- 131238206400 backwards is 004602832131
- 131238206400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 131238206400's digits is 30
- More coming soon!
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The information we have on file for 131238206400 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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