328834048000
328,834,048,000 is an even composite number composed of five prime numbers multiplied together.
328834048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 328834048000:
213 × 53 × 53 × 73 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 53 × 73 × 83)See below for interesting mathematical facts about the number 328834048000 from the Numbermatics database.
Names of 328834048000
- Cardinal: 328834048000 can be written as Three hundred twenty-eight billion, eight hundred thirty-four million, forty-eight thousand.
Scientific notation
- Scientific notation: 3.28834048 × 1011
Factors of 328834048000
Divisors of 328834048000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 53 64 73 80 83 100 106 125 128 146 160 166 200 212 250 256 265 292 320 332 365 400 415 424 500 512 530 584 640 664 730 800 830 848 1000 1024 1060 1168 1280 1325 1328 1460 1600 1660 1696 1825 2000 2048 2075 2120 2336 2560 2650 2656 2920 3200 3320 3392 3650 3869 4000 4096 4150 4240 4399 4672 5120 5300 5312 5840 6059 6400 6625 6640 6784 7300 7738 8000 8192 8300 8480 8798 9125 9344 10240 10375 10600 10624 11680 12118 12800 13250 13280 13568 14600 15476 16000 16600 16960 17596 18250 18688 19345 20480 20750 21200 21248 21995 23360 24236 25600 26500 26560 27136 29200 30295 30952 32000 33200 33920 35192 36500 37376 38690 40960 41500 42400 42496 43990 46720 48472 51200 53000 53120 54272 58400 60590 61904 64000 66400 67840 70384 73000 74752 77380 83000 84800 84992 87980 93440 96725 96944 102400 106000 106240 108544 109975 116800 121180 123808 128000 132800 135680 140768 146000 149504 151475 154760 166000 169600 169984 175960 186880 193450 193888 204800 212000 212480 217088 219950 233600 242360 247616 256000 265600 271360 281536 292000 299008 302950 309520 321127 332000 339200 339968 351920 373760 386900 387776 424000 424960 434176 439900 467200 483625 484720 495232 512000 531200 542720 549875 563072 584000 598016 605900 619040 642254 664000 678400 679936 703840 747520 757375 773800 775552 848000 849920 879800 934400 967250 969440 990464 1024000 1062400 1085440 1099750 1126144 1168000 1211800 1238080 1284508 1328000 1356800 1407680 1495040 1514750 1547600 1551104 1605635 1696000 1699840 1759600 1868800 1934500 1938880 1980928 2124800 2170880 2199500 2252288 2336000 2423600 2476160 2569016 2656000 2713600 2815360 2990080 3029500 3095200 3102208 3211270 3392000 3399680 3519200 3737600 3869000 3877760 3961856 4249600 4399000 4504576 4672000 4847200 4952320 5138032 5312000 5427200 5630720 6059000 6190400 6204416 6422540 6784000 7038400 7475200 7738000 7755520 7923712 8028175 8499200 8798000 9009152 9344000 9694400 9904640 10276064 10624000 10854400 11261440 12118000 12380800 12408832 12845080 13568000 14076800 14950400 15476000 15511040 15847424 16056350 16998400 17596000 18018304 18688000 19388800 19809280 20552128 21248000 22522880 24236000 24761600 24817664 25690160 27136000 28153600 30952000 31022080 31694848 32112700 35192000 36036608 37376000 38777600 39618560 40140875 41104256 42496000 45045760 48472000 49523200 49635328 51380320 54272000 56307200 61904000 62044160 64225400 70384000 74752000 77555200 79237120 80281750 82208512 84992000 90091520 96944000 99046400 102760640 112614400 123808000 124088320 128450800 140768000 155110400 158474240 160563500 164417024 180183040 193888000 198092800 205521280 225228800 247616000 248176640 256901600 281536000 310220800 321127000 328834048 387776000 396185600 411042560 450457600 495232000 513803200 563072000 620441600 642254000 657668096 775552000 792371200 822085120 900915200 990464000 1027606400 1126144000 1240883200 1284508000 1315336192 1551104000 1644170240 1980928000 2055212800 2252288000 2569016000 2630672384 3102208000 3288340480 3961856000 4110425600 4504576000 5138032000 6204416000 6576680960 8220851200 10276064000 13153361920 16441702400 20552128000 32883404800 41104256000 65766809600 82208512000 164417024000 328834048000
- Sum of all divisors σ(n): 857872596672
- Sum of proper divisors (its aliquot sum) s(n): 529038548672
- 328834048000 is an abundant number, because the sum of its proper divisors (529038548672) is greater than itself. Its abundance is 200204500672
Bases of 328834048000
- Binary: 1001100100100000000100101100000000000002
- Hexadecimal: 0x4C90096000
- Base-36: 472BAVB4
Squares and roots of 328834048000
- 328834048000 squared (3288340480002) is 108131831124066304000000
- 328834048000 cubed (3288340480003) is 35557427746179112964718592000000000
-
The
square root of 328834048000 is 573440.5357140355 -
The
cube root of 328834048000 is 6902.2750182109
Scales and comparisons
How big is 328834048000?- 328,834,048,000 seconds is equal to 10,455 years, 47 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 328,834,048,000 would take you about twenty thousand, nine hundred eleven 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 328834048000 cubic inches would be around 575.2 feet tall.
Recreational maths with 328834048000
- 328834048000 backwards is 000840438823
- 328834048000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 328834048000's digits is 40
- More coming soon!
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