135340800
135,340,800 is an even composite number composed of six prime numbers multiplied together.
135340800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 135340800:
28 × 3 × 52 × 7 × 19 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 53)See below for interesting mathematical facts about the number 135340800 from the Numbermatics database.
Names of 135340800
- Cardinal: 135340800 can be written as One hundred thirty-five million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.353408 × 108
Factors of 135340800
Divisors of 135340800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 53 56 57 60 64 70 75 76 80 84 95 96 100 105 106 112 114 120 128 133 140 150 152 159 160 168 175 190 192 200 210 212 224 228 240 256 265 266 280 285 300 304 318 320 336 350 371 380 384 399 400 420 424 448 456 475 480 525 530 532 560 570 600 608 636 640 665 672 700 742 760 768 795 798 800 840 848 896 912 950 960 1007 1050 1060 1064 1113 1120 1140 1200 1216 1272 1280 1325 1330 1344 1400 1425 1484 1520 1590 1596 1600 1680 1696 1792 1824 1855 1900 1920 1995 2014 2100 2120 2128 2226 2240 2280 2400 2432 2544 2650 2660 2688 2800 2850 2968 3021 3040 3180 3192 3200 3325 3360 3392 3648 3710 3800 3840 3975 3990 4028 4200 4240 4256 4452 4480 4560 4800 4864 5035 5088 5300 5320 5376 5565 5600 5700 5936 6042 6080 6360 6384 6400 6650 6720 6784 7049 7296 7420 7600 7950 7980 8056 8400 8480 8512 8904 8960 9120 9275 9600 9975 10070 10176 10600 10640 11130 11200 11400 11872 12084 12160 12720 12768 13300 13440 13568 14098 14592 14840 15105 15200 15900 15960 16112 16800 16960 17024 17808 18240 18550 19200 19950 20140 20352 21147 21200 21280 22260 22400 22800 23744 24168 24320 25175 25440 25536 26600 26880 27825 28196 29680 30210 30400 31800 31920 32224 33600 33920 34048 35245 35616 36480 37100 39900 40280 40704 42294 42400 42560 44520 44800 45600 47488 48336 50350 50880 51072 53200 55650 56392 59360 60420 60800 63600 63840 64448 67200 67840 70490 71232 72960 74200 75525 79800 80560 84588 84800 85120 89040 91200 94976 96672 100700 101760 102144 105735 106400 111300 112784 118720 120840 121600 127200 127680 128896 134400 140980 142464 148400 151050 159600 161120 169176 169600 170240 176225 178080 182400 193344 201400 203520 211470 212800 222600 225568 237440 241680 254400 255360 257792 281960 284928 296800 302100 319200 322240 338352 339200 352450 356160 364800 386688 402800 422940 425600 445200 451136 474880 483360 508800 510720 528675 563920 593600 604200 638400 644480 676704 704900 712320 773376 805600 845880 851200 890400 902272 966720 1017600 1057350 1127840 1187200 1208400 1276800 1288960 1353408 1409800 1424640 1611200 1691760 1780800 1804544 1933440 2114700 2255680 2374400 2416800 2553600 2706816 2819600 3222400 3383520 3561600 3866880 4229400 4511360 4833600 5413632 5639200 6444800 6767040 7123200 8458800 9022720 9667200 11278400 13534080 16917600 19334400 22556800 27068160 33835200 45113600 67670400 135340800
- Sum of all divisors σ(n): 547464960
- Sum of proper divisors (its aliquot sum) s(n): 412124160
- 135340800 is an abundant number, because the sum of its proper divisors (412124160) is greater than itself. Its abundance is 276783360
Bases of 135340800
- Binary: 10000001000100100011000000002
- Hexadecimal: 0x8112300
- Base-36: 28KTMO
Squares and roots of 135340800
- 135340800 squared (1353408002) is 18317132144640000
- 135340800 cubed (1353408003) is 2479055318161293312000000
-
The
square root of 135340800 is 11633.6064915401 -
The
cube root of 135340800 is 513.4240951939
Scales and comparisons
How big is 135340800?- 135,340,800 seconds is equal to 4 years, 15 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 135,340,800 would take you about six 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 135340800 cubic inches would be around 42.8 feet tall.
Recreational maths with 135340800
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