135728140800
135,728,140,800 is an even composite number composed of six prime numbers multiplied together.
135728140800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 135728140800:
29 × 3 × 52 × 7 × 73 × 6917
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 73 × 6917)See below for interesting mathematical facts about the number 135728140800 from the Numbermatics database.
Names of 135728140800
- Cardinal: 135728140800 can be written as One hundred thirty-five billion, seven hundred twenty-eight million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.357281408 × 1011
Factors of 135728140800
Divisors of 135728140800
- Number of divisors d(n): 480
-
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 70 73 75 80 84 96 100 105 112 120 128 140 146 150 160 168 175 192 200 210 219 224 240 256 280 292 300 320 336 350 365 384 400 420 438 448 480 511 512 525 560 584 600 640 672 700 730 768 800 840 876 896 960 1022 1050 1095 1120 1168 1200 1280 1344 1400 1460 1533 1536 1600 1680 1752 1792 1825 1920 2044 2100 2190 2240 2336 2400 2555 2560 2688 2800 2920 3066 3200 3360 3504 3584 3650 3840 4088 4200 4380 4480 4672 4800 5110 5376 5475 5600 5840 6132 6400 6720 6917 7008 7300 7665 7680 8176 8400 8760 8960 9344 9600 10220 10752 10950 11200 11680 12264 12775 12800 13440 13834 14016 14600 15330 16352 16800 17520 17920 18688 19200 20440 20751 21900 22400 23360 24528 25550 26880 27668 28032 29200 30660 32704 33600 34585 35040 37376 38325 38400 40880 41502 43800 44800 46720 48419 49056 51100 53760 55336 56064 58400 61320 65408 67200 69170 70080 76650 81760 83004 87600 89600 93440 96838 98112 102200 103755 110672 112128 116800 122640 130816 134400 138340 140160 145257 153300 163520 166008 172925 175200 186880 193676 196224 204400 207510 221344 233600 242095 245280 261632 268800 276680 280320 290514 306600 327040 332016 345850 350400 387352 392448 408800 415020 442688 467200 484190 490560 504941 518775 553360 560640 581028 613200 654080 664032 691700 700800 726285 774704 784896 817600 830040 885376 934400 968380 981120 1009882 1037550 1106720 1162056 1210475 1226400 1308160 1328064 1383400 1401600 1452570 1514823 1549408 1635200 1660080 1770752 1936760 1962240 2019764 2075100 2213440 2324112 2420950 2452800 2524705 2656128 2766800 2803200 2905140 3029646 3098816 3270400 3320160 3534587 3541504 3631425 3873520 3924480 4039528 4150200 4426880 4648224 4841900 4905600 5049410 5312256 5533600 5810280 6059292 6197632 6540800 6640320 7069174 7262850 7574115 7747040 8079056 8300400 8853760 9296448 9683800 9811200 10098820 10603761 10624512 11067200 11620560 12118584 12395264 12623525 13280640 14138348 14525700 15148230 15494080 16158112 16600800 17672935 17707520 18592896 19367600 19622400 20197640 21207522 22134400 23241120 24237168 24790528 25247050 26561280 28276696 29051400 30296460 30988160 32316224 33201600 35345870 37185792 37870575 38735200 40395280 42415044 44268800 46482240 48474336 50494100 53018805 53122560 56553392 58102800 60592920 61976320 64632448 66403200 70691740 74371584 75741150 77470400 80790560 84830088 88364675 88537600 92964480 96948672 100988200 106037610 113106784 116205600 121185840 123952640 129264896 132806400 141383480 151482300 154940800 161581120 169660176 176729350 185928960 193897344 201976400 212075220 226213568 232411200 242371680 258529792 265094025 265612800 282766960 302964600 309881600 323162240 339320352 353458700 371857920 387794688 403952800 424150440 452427136 464822400 484743360 530188050 565533920 605929200 619763200 646324480 678640704 706917400 775589376 807905600 848300880 904854272 929644800 969486720 1060376100 1131067840 1211858400 1292648960 1357281408 1413834800 1615811200 1696601760 1809708544 1859289600 1938973440 2120752200 2262135680 2423716800 2714562816 2827669600 3231622400 3393203520 3877946880 4241504400 4524271360 4847433600 5429125632 5655339200 6463244800 6786407040 8483008800 9048542720 9694867200 11310678400 13572814080 16966017600 19389734400 22621356800 27145628160 33932035200 45242713600 67864070400 135728140800
- Sum of all divisors σ(n): 519516784512
- Sum of proper divisors (its aliquot sum) s(n): 383788643712
- 135728140800 is an abundant number, because the sum of its proper divisors (383788643712) is greater than itself. Its abundance is 248060502912
Bases of 135728140800
- Binary: 11111100110100000011100010010000000002
- Hexadecimal: 0x1F9A071200
- Base-36: 1QCP13PC
Squares and roots of 135728140800
- 135728140800 squared (1357281408002) is 18422128205024624640000
- 135728140800 cubed (1357281408003) is 2500401210847233520605069312000000
-
The
square root of 135728140800 is 368413.0030278519 -
The
cube root of 135728140800 is 5139.1342947937
Scales and comparisons
How big is 135728140800?- 135,728,140,800 seconds is equal to 4,315 years, 38 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 135,728,140,800 would take you about eight thousand, six hundred thirty-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 135728140800 cubic inches would be around 428.3 feet tall.
Recreational maths with 135728140800
- 135728140800 backwards is 008041827531
- The number of decimal digits it has is: 12
- The sum of 135728140800's digits is 39
- More coming soon!
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