942428520
942,428,520 is an even composite number composed of six prime numbers multiplied together.
942428520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 942428520:
23 × 34 × 5 × 11 × 31 × 853
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 31 × 853)See below for interesting mathematical facts about the number 942428520 from the Numbermatics database.
Names of 942428520
- Cardinal: 942428520 can be written as Nine hundred forty-two million, four hundred twenty-eight thousand, five hundred twenty.
Scientific notation
- Scientific notation: 9.4242852 × 108
Factors of 942428520
Divisors of 942428520
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 31 33 36 40 44 45 54 55 60 62 66 72 81 88 90 93 99 108 110 120 124 132 135 155 162 165 180 186 198 216 220 248 264 270 279 297 310 324 330 341 360 372 396 405 440 465 495 540 558 594 620 648 660 682 744 792 810 837 853 891 930 990 1023 1080 1116 1188 1240 1320 1364 1395 1485 1620 1674 1705 1706 1782 1860 1980 2046 2232 2376 2511 2559 2728 2790 2970 3069 3240 3348 3410 3412 3564 3720 3960 4092 4185 4265 4455 5022 5115 5118 5580 5940 6138 6696 6820 6824 7128 7677 8184 8370 8530 8910 9207 9383 10044 10230 10236 11160 11880 12276 12555 12795 13640 15345 15354 16740 17060 17820 18414 18766 20088 20460 20472 23031 24552 25110 25590 26443 27621 28149 30690 30708 33480 34120 35640 36828 37532 38385 40920 46035 46062 46915 50220 51180 52886 55242 56298 61380 61416 69093 73656 75064 76770 79329 84447 92070 92124 93830 100440 102360 105772 110484 112596 115155 122760 132215 138105 138186 140745 153540 158658 168894 184140 184248 187660 211544 220968 225192 230310 237987 253341 264430 276210 276372 281490 290873 307080 317316 337788 345465 368280 375320 396645 422235 460620 475974 506682 528860 552420 552744 562980 581746 634632 675576 690930 713961 760023 793290 844470 872619 921240 951948 1013364 1057720 1104840 1125960 1163492 1189935 1266705 1381860 1427922 1454365 1520046 1586580 1688940 1745238 1903896 2026728 2141883 2326984 2379870 2533410 2617857 2763720 2855844 2908730 3040092 3173160 3377880 3490476 3569805 3800115 4283766 4363095 4759740 5066820 5235714 5711688 5817460 6080184 6980952 7139610 7600230 7853571 8567532 8726190 9519480 10133640 10471428 10709415 11634920 13089285 14279220 15200460 15707142 17135064 17452380 20942856 21418830 23560713 26178570 28558440 30400920 31414284 34904760 39267855 42837660 47121426 52357140 62828568 78535710 85675320 94242852 104714280 117803565 157071420 188485704 235607130 314142840 471214260 942428520
- Sum of all divisors σ(n): 3571223040
- Sum of proper divisors (its aliquot sum) s(n): 2628794520
- 942428520 is an abundant number, because the sum of its proper divisors (2628794520) is greater than itself. Its abundance is 1686366000
Bases of 942428520
- Binary: 1110000010110001010001011010002
- Hexadecimal: 0x382C5168
- Base-36: FL3II0
Squares and roots of 942428520
- 942428520 squared (9424285202) is 888171515309390400
- 942428520 cubed (9424285203) is 837038166679186136774208000
-
The
square root of 942428520 is 30698.9986807389 -
The
cube root of 942428520 is 980.4289805947
Scales and comparisons
How big is 942428520?- 942,428,520 seconds is equal to 29 years, 50 weeks, 1 day, 17 hours, 42 minutes.
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To count from 1 to 942,428,520 would take you about forty-four 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 942428520 cubic inches would be around 81.7 feet tall.
Recreational maths with 942428520
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