136830825600
136,830,825,600 is an even composite number composed of seven prime numbers multiplied together.
136830825600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 136830825600:
27 × 3 × 52 × 7 × 19 × 31 × 3457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 31 × 3457)See below for interesting mathematical facts about the number 136830825600 from the Numbermatics database.
Names of 136830825600
- Cardinal: 136830825600 can be written as One hundred thirty-six billion, eight hundred thirty million, eight hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.368308256 × 1011
Factors of 136830825600
Divisors of 136830825600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 31 32 35 38 40 42 48 50 56 57 60 62 64 70 75 76 80 84 93 95 96 100 105 112 114 120 124 128 133 140 150 152 155 160 168 175 186 190 192 200 210 217 224 228 240 248 266 280 285 300 304 310 320 336 350 372 380 384 399 400 420 434 448 456 465 475 480 496 525 532 560 570 589 600 608 620 640 651 665 672 700 744 760 775 798 800 840 868 896 912 930 950 960 992 1050 1064 1085 1120 1140 1178 1200 1216 1240 1302 1330 1344 1400 1425 1488 1520 1550 1596 1600 1680 1736 1767 1824 1860 1900 1920 1984 1995 2100 2128 2170 2240 2280 2325 2356 2400 2432 2480 2604 2660 2688 2800 2850 2945 2976 3040 3100 3192 3200 3255 3325 3360 3457 3472 3534 3648 3720 3800 3968 3990 4123 4200 4256 4340 4480 4560 4650 4712 4800 4960 5208 5320 5425 5600 5700 5890 5952 6080 6200 6384 6510 6650 6720 6914 6944 7068 7296 7440 7600 7980 8246 8400 8512 8680 8835 9120 9300 9424 9600 9920 9975 10371 10416 10640 10850 11200 11400 11780 11904 12160 12369 12400 12768 13020 13300 13440 13828 13888 14136 14725 14880 15200 15960 16275 16492 16800 17024 17285 17360 17670 18240 18600 18848 19840 19950 20615 20742 20832 21280 21700 22400 22800 23560 24199 24738 24800 25536 26040 26600 27656 27776 28272 29450 29760 30400 31920 32550 32984 33600 34570 34720 35340 36480 37200 37696 39900 41230 41484 41664 42560 43400 44175 45600 47120 48398 49476 49600 51072 51855 52080 53200 55312 56544 58900 59520 60800 61845 63840 65100 65683 65968 67200 69140 69440 70680 72597 74400 75392 79800 82460 82968 83328 85120 86425 86800 88350 91200 94240 96796 98952 99200 103075 103710 104160 106400 107167 110624 113088 117800 120995 123690 127680 130200 131366 131936 138280 138880 141360 145194 148800 159600 164920 165936 172850 173600 176700 182400 188480 193592 197049 197904 206150 207420 208320 212800 214334 221248 226176 235600 241990 247380 255360 259275 260400 262732 263872 276560 282720 290388 297600 309225 319200 321501 328415 329840 331872 345700 347200 353400 362985 376960 387184 394098 395808 412300 414840 416640 425600 428668 442496 459781 471200 483980 494760 518550 520800 525464 527744 535835 553120 565440 580776 604975 618450 638400 643002 656830 659680 663744 691400 694400 706800 725970 750169 774368 788196 791616 824600 829680 857336 919562 942400 967960 985245 989520 1037100 1041600 1050928 1071670 1106240 1130880 1161552 1209950 1236900 1276800 1286004 1313660 1319360 1327488 1379343 1382800 1413600 1451940 1500338 1548736 1576392 1583232 1607505 1642075 1649200 1659360 1714672 1814925 1839124 1884800 1935920 1970490 1979040 2036173 2074200 2083200 2101856 2143340 2212480 2250507 2298905 2323104 2419900 2473800 2572008 2627320 2638720 2679175 2758686 2765600 2827200 2903880 3000676 3097472 3152784 3215010 3284150 3298400 3318720 3429344 3629850 3678248 3750845 3871840 3940980 3958080 4072346 4148400 4203712 4286680 4501014 4597810 4646208 4839800 4926225 4947600 5144016 5254640 5358350 5517372 5531200 5654400 5807760 6001352 6108519 6305568 6430020 6568300 6596800 6637440 6858688 6896715 7259700 7356496 7501690 7743680 7881960 7916160 8037525 8144692 8296800 8407424 8573360 9002028 9195620 9292416 9679600 9852450 9895200 10180865 10288032 10509280 10716700 11034744 11062400 11252535 11494525 11615520 12002704 12217038 12611136 12860040 13136600 13193600 13717376 13793430 14253211 14519400 14712992 15003380 15487360 15763920 16075050 16289384 16593600 17146720 18004056 18391240 18754225 19359200 19704900 19790400 20361730 20576064 21018560 21433400 22069488 22505070 22989050 23231040 24005408 24434076 25222272 25720080 26273200 27586860 28506422 29038800 29425984 30006760 30542595 31527840 32150100 32578768 33187200 34293440 34483575 36008112 36782480 37508450 38718400 39409800 39580800 40723460 41152128 42037120 42759633 42866800 44138976 45010140 45978100 46462080 48010816 48868152 50904325 51440160 52546400 55173720 56262675 57012844 58077600 58851968 60013520 61085190 63055680 64300200 65157536 68586880 68967150 71266055 72016224 73564960 75016900 77436800 78819600 81446920 85519266 85733600 88277952 90020280 91956200 96021632 97736304 101808650 102880320 105092800 110347440 112525350 114025688 116155200 120027040 122170380 126111360 128600400 130315072 137934300 142532110 144032448 147129920 150033800 152712975 157639200 162893840 171038532 171467200 176555904 180040560 183912400 195472608 203617300 205760640 210185600 213798165 220694880 225050700 228051376 232310400 240054080 244340760 257200800 260630144 275868600 285064220 288064896 294259840 300067600 305425950 315278400 325787680 342077064 342934400 356330275 360081120 367824800 390945216 407234600 427596330 441389760 450101400 456102752 480108160 488681520 514401600 551737200 570128440 600135200 610851900 630556800 651575360 684154128 712660550 720162240 735649600 781890432 814469200 855192660 882779520 900202800 912205504 977363040 1028803200 1068990825 1103474400 1140256880 1200270400 1221703800 1303150720 1368308256 1425321100 1440324480 1471299200 1628938400 1710385320 1800405600 1824411008 1954726080 2137981650 2206948800 2280513760 2400540800 2443407600 2736616512 2850642200 3257876800 3420770640 3600811200 3909452160 4275963300 4413897600 4561027520 4886815200 5473233024 5701284400 6515753600 6841541280 7201622400 8551926600 9122055040 9773630400 11402568800 13683082560 17103853200 19547260800 22805137600 27366165120 34207706400 45610275200 68415412800 136830825600
- Sum of all divisors σ(n): 559830835200
- Sum of proper divisors (its aliquot sum) s(n): 423000009600
- 136830825600 is an abundant number, because the sum of its proper divisors (423000009600) is greater than itself. Its abundance is 286169184000
Bases of 136830825600
- Binary: 11111110110111100000010110100100000002
- Hexadecimal: 0x1FDBC0B480
- Base-36: 1QUXJGQO
Squares and roots of 136830825600
- 136830825600 squared (1368308256002) is 18722674834377615360000
- 136830825600 cubed (1368308256003) is 2561839055028232371868041216000000
-
The
square root of 136830825600 is 369906.5092695721 -
The
cube root of 136830825600 is 5153.0139218785
Scales and comparisons
How big is 136830825600?- 136,830,825,600 seconds is equal to 4,350 years, 41 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 136,830,825,600 would take you about eight thousand, seven hundred one 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 136830825600 cubic inches would be around 429.4 feet tall.
Recreational maths with 136830825600
- 136830825600 backwards is 006528038631
- 136830825600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 136830825600's digits is 42
- More coming soon!
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