136964738646400
136,964,738,646,400 is an even composite number composed of five prime numbers multiplied together.
136964738646400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 136964738646400:
27 × 52 × 7 × 23 × 6433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 643 × 643 × 643)See below for interesting mathematical facts about the number 136964738646400 from the Numbermatics database.
Names of 136964738646400
- Cardinal: 136964738646400 can be written as One hundred thirty-six trillion, nine hundred sixty-four billion, seven hundred thirty-eight million, six hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.369647386464 × 1014
Factors of 136964738646400
Divisors of 136964738646400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 128 140 160 161 175 184 200 224 230 280 320 322 350 368 400 448 460 560 575 640 643 644 700 736 800 805 896 920 1120 1150 1286 1288 1400 1472 1600 1610 1840 2240 2300 2572 2576 2800 2944 3200 3215 3220 3680 4025 4480 4501 4600 5144 5152 5600 6430 6440 7360 8050 9002 9200 10288 10304 11200 12860 12880 14720 14789 16075 16100 18004 18400 20576 20608 22400 22505 25720 25760 29578 32150 32200 36008 36800 41152 45010 51440 51520 59156 64300 64400 72016 73600 73945 82304 90020 102880 103040 103523 112525 118312 128600 128800 144032 147890 180040 205760 207046 225050 236624 257200 257600 288064 295780 360080 369725 411520 413449 414092 450100 473248 514400 515200 517615 576128 591560 720160 739450 826898 828184 900200 946496 1028800 1035230 1183120 1440320 1478900 1653796 1656368 1800400 1892992 2057600 2067245 2070460 2366240 2588075 2880640 2894143 2957800 3307592 3312736 3600800 4134490 4140920 4732480 5176150 5788286 5915600 6615184 6625472 7201600 8268980 8281840 9464960 9509327 10336225 10352300 11576572 11831200 13230368 13250944 14403200 14470715 16537960 16563680 19018654 20672450 20704600 23153144 23662400 26460736 28941430 33075920 33127360 38037308 41344900 41409200 46306288 47324800 47546635 52921472 57882860 66151840 66254720 66565289 72353575 76074616 82689800 82818400 92612576 95093270 115765720 132303680 133130578 144707150 152149232 165379600 165636800 185225152 190186540 231531440 237733175 264607360 265847707 266261156 289414300 304298464 330759200 331273600 332826445 370450304 380373080 463062880 475466350 531695414 532522312 578828600 608596928 661518400 665652890 760746160 926125760 950932700 1063390828 1065044624 1157657200 1217193856 1323036800 1329238535 1331305780 1521492320 1664132225 1852251520 1860933949 1901865400 2126781656 2130089248 2315314400 2658477070 2662611560 3042984640 3328264450 3721867898 3803730800 4253563312 4260178496 4630628800 5316954140 5325223120 6085969280 6114497261 6646192675 6656528900 7443735796 7607461600 8507126624 8520356992 9261257600 9304669745 10633908280 10650446240 12228994522 13292385350 13313057800 14887471592 15214923200 17014253248 18609339490 21267816560 21300892480 24457989044 26584770700 26626115600 29774943184 30429846400 30572486305 34028506496 37218678980 42535633120 42601784960 42801480827 46523348725 48915978088 53169541400 53252231200 59549886368 61144972610 74437357960 85071266240 85602961654 93046697450 97831956176 106339082800 106504462400 119099772736 122289945220 148874715920 152862431525 170142532480 171205923308 186093394900 195663912352 212678165600 213008924800 214007404135 238199545472 244579890440 297749431840 305724863050 342411846616 372186789800 391327824704 425356331200 428014808270 489159780880 595498863680 611449726100 684823693232 744373579600 782655649408 850712662400 856029616540 978319561760 1070037020675 1190997727360 1222899452200 1369647386464 1488747159200 1712059233080 1956639123520 2140074041350 2445798904400 2739294772928 2977494318400 3424118466160 3913278247040 4280148082700 4891597808800 5478589545856 5954988636800 6848236932320 8560296165400 9783195617600 13696473864640 17120592330800 19566391235200 27392947729280 34241184661600 68482369323200 136964738646400
- Sum of all divisors σ(n): 404121509568000
- Sum of proper divisors (its aliquot sum) s(n): 267156770921600
- 136964738646400 is an abundant number, because the sum of its proper divisors (267156770921600) is greater than itself. Its abundance is 130192032275200
Bases of 136964738646400
- Binary: 111110010010001100101101001100000000001100000002
- Hexadecimal: 0x7C9196980180
- Base-36: 1CJSQD2CN4
Squares and roots of 136964738646400
- 136964738646400 squared (1369647386464002) is 18759339632476657704232960000
- 136964738646400 cubed (1369647386464003) is 2569368049941218852008860397380665344000000
-
The
square root of 136964738646400 is 11703193.5234106079 -
The
cube root of 136964738646400 is 51546.9441747843
Scales and comparisons
How big is 136964738646400?- 136,964,738,646,400 seconds is equal to 4,355,055 years, 1 week, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 136,964,738,646,400 would take you about ten million, eight hundred eighty-seven thousand, six hundred thirty-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 136964738646400 cubic inches would be around 4295.6 feet tall.
Recreational maths with 136964738646400
- 136964738646400 backwards is 004646837469631
- The number of decimal digits it has is: 15
- The sum of 136964738646400's digits is 67
- More coming soon!
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