1680136931200
1,680,136,931,200 is an even composite number composed of six prime numbers multiplied together.
1680136931200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1680136931200:
27 × 52 × 73 × 13 × 73 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 73 × 1613)See below for interesting mathematical facts about the number 1680136931200 from the Numbermatics database.
Names of 1680136931200
- Cardinal: 1680136931200 can be written as One trillion, six hundred eighty billion, one hundred thirty-six million, nine hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.6801369312 × 1012
Factors of 1680136931200
Divisors of 1680136931200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 73 80 91 98 100 104 112 128 130 140 146 160 175 182 196 200 208 224 245 260 280 292 320 325 343 350 364 365 392 400 416 448 455 490 511 520 560 584 637 640 650 686 700 728 730 784 800 832 896 910 949 980 1022 1040 1120 1168 1225 1274 1300 1372 1400 1456 1460 1568 1600 1613 1664 1715 1820 1825 1898 1960 2044 2080 2240 2275 2336 2450 2548 2555 2600 2744 2800 2912 2920 3136 3185 3200 3226 3430 3577 3640 3650 3796 3920 4088 4160 4459 4480 4550 4672 4745 4900 5096 5110 5200 5488 5600 5824 5840 6272 6370 6452 6643 6860 7154 7280 7300 7592 7840 8065 8176 8320 8575 8918 9100 9344 9490 9800 10192 10220 10400 10976 11200 11291 11648 11680 12740 12775 12904 13286 13720 14308 14560 14600 15184 15680 15925 16130 16352 17150 17836 17885 18200 18980 19600 20384 20440 20800 20969 21952 22295 22400 22582 23360 23725 25039 25480 25550 25808 26572 27440 28616 29120 29200 30368 31360 31850 32260 32704 33215 34300 35672 35770 36400 37960 39200 40325 40768 40880 41600 41938 43904 44590 45164 46501 46720 47450 50078 50960 51100 51616 53144 54880 56455 57232 58240 58400 60736 63700 64520 65408 66430 68600 71344 71540 72800 75920 78400 79037 80650 81536 81760 83876 89180 89425 90328 93002 94900 100156 101920 102200 103232 104845 106288 109760 111475 112910 114464 116800 117749 121472 125195 127400 129040 132860 137200 142688 143080 145600 146783 151840 156800 158074 161300 163520 166075 167752 178360 178850 180656 186004 189800 200312 203840 204400 206464 209690 212576 219520 222950 225820 228928 232505 233600 235498 250390 254800 258080 265720 274400 282275 285376 286160 291200 293566 303680 316148 322600 325507 327040 332150 335504 356720 357700 361312 372008 379600 395185 400624 407680 408800 419380 425152 445900 451640 457856 465010 470996 500780 509600 516160 524225 531440 548800 553259 564550 570752 572320 587132 588745 607360 625975 632296 645200 651014 664300 671008 713440 715400 722624 733915 744016 759200 790370 801248 817600 824243 838760 850304 891800 903280 930020 941992 1001560 1019200 1027481 1032320 1048450 1062880 1097600 1106518 1129100 1144640 1162525 1174264 1177490 1251950 1264592 1290400 1302028 1328600 1342016 1426880 1430800 1445248 1467830 1488032 1518400 1530737 1580740 1602496 1627535 1635200 1648486 1677520 1783600 1806560 1860040 1883984 1975925 2003120 2038400 2054962 2096900 2125760 2213036 2258200 2289280 2325050 2348528 2354980 2503900 2529184 2580800 2604056 2657200 2684032 2766295 2853760 2861600 2935660 2943725 2976064 3036800 3061474 3161480 3204992 3255070 3296972 3355040 3567200 3613120 3669575 3720080 3767968 3951850 4006240 4109924 4121215 4193800 4251520 4426072 4516400 4650100 4697056 4709960 5007800 5058368 5137405 5161600 5208112 5314400 5532590 5723200 5769701 5871320 5887450 5952128 6122948 6322960 6510140 6593944 6710080 7134400 7192367 7226240 7339150 7440160 7535936 7653685 7903700 8012480 8137675 8219848 8242430 8387600 8852144 9032800 9300200 9394112 9419920 10015600 10116736 10274810 10416224 10628800 10715159 11065180 11446400 11539402 11742640 11774900 12245896 12645920 13020280 13187888 13420160 13831475 14268800 14384734 14678300 14880320 15071872 15307370 15807400 16024960 16275350 16439696 16484860 16775200 17704288 18065600 18600400 18788224 18839840 20031200 20549620 20606075 20832448 21257600 21430318 22130360 23078804 23485280 23549800 24491792 25291840 25687025 26040560 26375776 27662950 28769468 28848505 29356600 29760640 30614740 31614800 32550700 32879392 32969720 33550400 35408576 35961835 36131200 37200800 37679680 38268425 40062400 40387907 41099240 41212150 41664896 42860636 44260720 46157608 46970560 47099600 48983584 50583680 51374050 52081120 52751552 53575795 55325900 57538936 57697010 58713200 61229480 63229600 65101400 65758784 65939440 67100800 70817152 71923670 74401600 75006113 75359360 76536850 80124800 80775814 82198480 82424300 85721272 88521440 92315216 93941120 94199200 97967168 102748100 104162240 105503104 107151590 110651800 115077872 115394020 117426400 122458960 126459200 130202800 131517568 131878880 143847340 144242525 148803200 150012226 153073700 161551628 164396960 164848600 171442544 177042880 179809175 184630432 188398400 195934336 201939535 205496200 208324480 214303180 221303600 230155744 230788040 234852800 244917920 252918400 260405600 263757760 267878975 287694680 288485050 300024452 306147400 323103256 328793920 329697200 342885088 354085760 359618350 369260864 375030565 376796800 403879070 410992400 428606360 442607200 460311488 461576080 469705600 489835840 520811200 525042791 527515520 535757950 575389360 576970100 600048904 612294800 646206512 657587840 659394400 685770176 719236700 738521728 750061130 807758140 821984800 857212720 885214400 920622976 923152160 979671680 1009697675 1041622400 1050085582 1071515900 1150778720 1153940200 1200097808 1224589600 1292413024 1318788800 1371540352 1438473400 1500122260 1615516280 1643969600 1714425440 1770428800 1846304320 1875152825 2019395350 2100171164 2143031800 2301557440 2307880400 2400195616 2449179200 2584826048 2625213955 2637577600 2876946800 3000244520 3231032560 3287939200 3428850880 3692608640 3750305650 4038790700 4200342328 4286063600 4603114880 4615760800 4800391232 4898358400 5169652096 5250427910 5753893600 6000489040 6462065120 6857701760 7500611300 8077581400 8400684656 8572127200 9231521600 9600782464 10500855820 11507787200 12000978080 12924130240 13126069775 15001222600 16155162800 16801369312 17144254400 18463043200 21001711640 23015574400 24001956160 25848260480 26252139550 30002445200 32310325600 33602738624 34288508800 42003423280 48003912320 52504279100 60004890400 64620651200 67205477248 84006846560 105008558200 120009780800 129241302400 168013693120 210017116400 240019561600 336027386240 420034232800 840068465600 1680136931200
- Sum of all divisors σ(n): 5287192848000
- Sum of proper divisors (its aliquot sum) s(n): 3607055916800
- 1680136931200 is an abundant number, because the sum of its proper divisors (3607055916800) is greater than itself. Its abundance is 1926918985600
Bases of 1680136931200
- Binary: 110000111001011111111011100000111100000002
- Hexadecimal: 0x1872FF70780
- Base-36: LFUE5D34
Squares and roots of 1680136931200
- 1680136931200 squared (16801369312002) is 2822860107582153533440000
- 1680136931200 cubed (16801369312003) is 4742791518359981289561118179328000000
-
The
square root of 1680136931200 is 1296200.9609624581 -
The
cube root of 1680136931200 is 11888.1668762619
Scales and comparisons
How big is 1680136931200?- 1,680,136,931,200 seconds is equal to 53,423 years, 8 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 1,680,136,931,200 would take you about one hundred thirty-three thousand, five hundred fifty-seven 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 1680136931200 cubic inches would be around 990.7 feet tall.
Recreational maths with 1680136931200
- 1680136931200 backwards is 0021396310861
- 1680136931200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1680136931200's digits is 40
- More coming soon!
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