135085440
135,085,440 is an even composite number composed of six prime numbers multiplied together.
135085440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 135085440:
27 × 3 × 5 × 7 × 19 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 23 × 23)See below for interesting mathematical facts about the number 135085440 from the Numbermatics database.
Names of 135085440
- Cardinal: 135085440 can be written as One hundred thirty-five million, eighty-five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3508544 × 108
Factors of 135085440
Divisors of 135085440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 23 24 28 30 32 35 38 40 42 46 48 56 57 60 64 69 70 76 80 84 92 95 96 105 112 114 115 120 128 133 138 140 152 160 161 168 184 190 192 210 224 228 230 240 266 276 280 285 304 320 322 336 345 368 380 384 399 420 437 448 456 460 480 483 529 532 552 560 570 608 640 644 665 672 690 736 760 798 805 840 874 896 912 920 960 966 1058 1064 1104 1120 1140 1216 1288 1311 1330 1344 1380 1472 1520 1587 1596 1610 1680 1748 1824 1840 1920 1932 1995 2116 2128 2185 2208 2240 2280 2415 2432 2576 2622 2645 2660 2688 2760 2944 3040 3059 3174 3192 3220 3360 3496 3648 3680 3703 3864 3990 4232 4256 4370 4416 4480 4560 4830 5152 5244 5290 5320 5520 6080 6118 6348 6384 6440 6555 6720 6992 7296 7360 7406 7728 7935 7980 8464 8512 8740 8832 9120 9177 9660 10051 10304 10488 10580 10640 11040 11109 12160 12236 12696 12768 12880 13110 13440 13984 14720 14812 15295 15456 15870 15960 16928 17024 17480 18240 18354 18515 19320 20102 20608 20976 21160 21280 22080 22218 24472 25392 25536 25760 26220 27968 29624 30153 30590 30912 31740 31920 33856 34960 36480 36708 37030 38640 40204 41952 42320 42560 44160 44436 45885 48944 50255 50784 51072 51520 52440 55545 55936 59248 60306 61180 61824 63480 63840 67712 69920 70357 73416 74060 77280 80408 83904 84640 85120 88872 91770 97888 100510 101568 103040 104880 111090 118496 120612 122360 126960 127680 139840 140714 146832 148120 150765 154560 160816 167808 169280 177744 183540 195776 201020 203136 209760 211071 222180 236992 241224 244720 253920 255360 279680 281428 293664 296240 301530 309120 321632 338560 351785 355488 367080 391552 402040 419520 422142 444360 473984 482448 489440 507840 562856 587328 592480 603060 643264 703570 710976 734160 804080 839040 844284 888720 964896 978880 1015680 1055355 1125712 1174656 1184960 1206120 1286528 1407140 1421952 1468320 1608160 1688568 1777440 1929792 1957760 2110710 2251424 2369920 2412240 2814280 2936640 3216320 3377136 3554880 3859584 4221420 4502848 4824480 5628560 5873280 6432640 6754272 7109760 8442840 9005696 9648960 11257120 13508544 16885680 19297920 22514240 27017088 33771360 45028480 67542720 135085440
- Sum of all divisors σ(n): 541497600
- Sum of proper divisors (its aliquot sum) s(n): 406412160
- 135085440 is an abundant number, because the sum of its proper divisors (406412160) is greater than itself. Its abundance is 271326720
Bases of 135085440
- Binary: 10000000110100111101100000002
- Hexadecimal: 0x80D3D80
- Base-36: 28FCLC
Squares and roots of 135085440
- 135085440 squared (1350854402) is 18248076099993600
- 135085440 cubed (1350854403) is 2465049389121119453184000
-
The
square root of 135085440 is 11622.6262092523 -
The
cube root of 135085440 is 513.1009836577
Scales and comparisons
How big is 135085440?- 135,085,440 seconds is equal to 4 years, 15 weeks, 2 days, 11 hours, 44 minutes.
-
To count from 1 to 135,085,440 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 135085440 cubic inches would be around 42.8 feet tall.
Recreational maths with 135085440
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