542989440
542,989,440 is an even composite number composed of five prime numbers multiplied together.
542989440 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 542989440:
27 × 33 × 5 × 7 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 67 × 67)See below for interesting mathematical facts about the number 542989440 from the Numbermatics database.
Names of 542989440
- Cardinal: 542989440 can be written as Five hundred forty-two million, nine hundred eighty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 5.4298944 × 108
Factors of 542989440
Divisors of 542989440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 67 70 72 80 84 90 96 105 108 112 120 126 128 134 135 140 144 160 168 180 189 192 201 210 216 224 240 252 268 270 280 288 315 320 335 336 360 378 384 402 420 432 448 469 480 504 536 540 560 576 603 630 640 670 672 720 756 804 840 864 896 938 945 960 1005 1008 1072 1080 1120 1152 1206 1260 1340 1344 1407 1440 1512 1608 1680 1728 1809 1876 1890 1920 2010 2016 2144 2160 2240 2345 2412 2520 2680 2688 2814 2880 3015 3024 3216 3360 3456 3618 3752 3780 4020 4032 4221 4288 4320 4480 4489 4690 4824 5040 5360 5628 5760 6030 6048 6432 6720 7035 7236 7504 7560 8040 8064 8442 8576 8640 8978 9045 9380 9648 10080 10720 11256 12060 12096 12663 12864 13440 13467 14070 14472 15008 15120 16080 16884 17280 17956 18090 18760 19296 20160 21105 21440 22445 22512 24120 24192 25326 25728 26934 28140 28944 30016 30240 31423 32160 33768 35912 36180 37520 38592 40320 40401 42210 42880 44890 45024 48240 50652 53868 56280 57888 60032 60480 62846 63315 64320 67335 67536 71824 72360 75040 77184 80802 84420 89780 90048 94269 96480 101304 107736 112560 115776 120960 121203 125692 126630 128640 134670 135072 143648 144720 150080 157115 161604 168840 179560 180096 188538 192960 202005 202608 215472 225120 231552 242406 251384 253260 269340 270144 282807 287296 289440 300160 314230 323208 337680 359120 377076 385920 404010 405216 430944 450240 471345 484812 502768 506520 538680 540288 565614 574592 578880 606015 628460 646416 675360 718240 754152 808020 810432 848421 861888 900480 942690 969624 1005536 1013040 1077360 1131228 1157760 1212030 1256920 1292832 1350720 1414035 1436480 1508304 1616040 1620864 1696842 1723776 1885380 1939248 2011072 2026080 2154720 2262456 2424060 2513840 2585664 2701440 2828070 2872960 3016608 3232080 3393684 3770760 3878496 4022144 4052160 4242105 4309440 4524912 4848120 5027680 5171328 5656140 6033216 6464160 6787368 7541520 7756992 8104320 8484210 8618880 9049824 9696240 10055360 11312280 12066432 12928320 13574736 15083040 15513984 16968420 18099648 19392480 20110720 22624560 25856640 27149472 30166080 33936840 36199296 38784960 45249120 54298944 60332160 67873680 77569920 90498240 108597888 135747360 180996480 271494720 542989440
- Sum of all divisors σ(n): 2231107200
- Sum of proper divisors (its aliquot sum) s(n): 1688117760
- 542989440 is an abundant number, because the sum of its proper divisors (1688117760) is greater than itself. Its abundance is 1145128320
Bases of 542989440
- Binary: 1000000101110101011100100000002
- Hexadecimal: 0x205D5C80
- Base-36: 8ZA5C0
Squares and roots of 542989440
- 542989440 squared (5429894402) is 294837531951513600
- 542989440 cubed (5429894403) is 160093666365334476816384000
-
The
square root of 542989440 is 23302.1338078727 -
The
cube root of 542989440 is 815.8252220829
Scales and comparisons
How big is 542989440?- 542,989,440 seconds is equal to 17 years, 13 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 542,989,440 would take you about twenty-five 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 542989440 cubic inches would be around 68 feet tall.
Recreational maths with 542989440
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