542493120
542,493,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 542493120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
542493120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 542493120:
26 × 3 × 5 × 13 × 17 × 2557
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 2557)See below for interesting mathematical facts about the number 542493120 from the Numbermatics database.
Names of 542493120
- Cardinal: 542493120 can be written as Five hundred forty-two million, four hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 5.4249312 × 108
Factors of 542493120
Divisors of 542493120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 130 136 156 160 170 192 195 204 208 221 240 255 260 272 312 320 340 390 408 416 442 480 510 520 544 624 663 680 780 816 832 884 960 1020 1040 1088 1105 1248 1326 1360 1560 1632 1768 2040 2080 2210 2496 2557 2652 2720 3120 3264 3315 3536 4080 4160 4420 5114 5304 5440 6240 6630 7072 7671 8160 8840 10228 10608 12480 12785 13260 14144 15342 16320 17680 20456 21216 25570 26520 30684 33241 35360 38355 40912 42432 43469 51140 53040 61368 66482 70720 76710 81824 86938 99723 102280 106080 122736 130407 132964 153420 163648 166205 173876 199446 204560 212160 217345 245472 260814 265928 306840 332410 347752 398892 409120 434690 490944 498615 521628 531856 565097 613680 652035 664820 695504 797784 818240 869380 997230 1043256 1063712 1130194 1227360 1304070 1329640 1391008 1595568 1695291 1738760 1994460 2086512 2127424 2260388 2454720 2608140 2659280 2782016 2825485 3191136 3390582 3477520 3988920 4173024 4520776 5216280 5318560 5650970 6382272 6781164 6955040 7977840 8346048 8476455 9041552 10432560 10637120 11301940 13562328 13910080 15955680 16952910 18083104 20865120 22603880 27124656 31911360 33905820 36166208 41730240 45207760 54249312 67811640 90415520 108498624 135623280 180831040 271246560 542493120
- Sum of all divisors σ(n): 1964789568
- Sum of proper divisors (its aliquot sum) s(n): 1422296448
- 542493120 is an abundant number, because the sum of its proper divisors (1422296448) is greater than itself. Its abundance is 879803328
Bases of 542493120
- Binary: 1000000101010111001001110000002
- Hexadecimal: 0x2055C9C0
- Base-36: 8YZIDC
Squares and roots of 542493120
- 542493120 squared (5424931202) is 294298785247334400
- 542493120 cubed (5424931203) is 159655066221036410339328000
-
The
square root of 542493120 is 23291.4817046919 -
The
cube root of 542493120 is 815.5765777099
Scales and comparisons
How big is 542493120?- 542,493,120 seconds is equal to 17 years, 12 weeks, 6 days, 20 hours, 32 minutes.
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To count from 1 to 542,493,120 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 542493120 cubic inches would be around 68 feet tall.
Recreational maths with 542493120
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