130442400
130,442,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 130442400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
130442400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 130442400:
25 × 35 × 52 × 11 × 61
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 61)See below for interesting mathematical facts about the number 130442400 from the Numbermatics database.
Names of 130442400
- Cardinal: 130442400 can be written as One hundred thirty million, four hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.304424 × 108
Factors of 130442400
Divisors of 130442400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 66 72 75 80 81 88 90 96 99 100 108 110 120 122 132 135 144 150 160 162 165 176 180 183 198 200 216 220 225 240 243 244 264 270 275 288 297 300 305 324 330 352 360 366 396 400 405 432 440 450 480 486 488 495 528 540 549 550 594 600 610 648 660 671 675 720 732 792 800 810 825 864 880 891 900 915 972 976 990 1056 1080 1098 1100 1188 1200 1215 1220 1296 1320 1342 1350 1440 1464 1485 1525 1584 1620 1647 1650 1760 1782 1800 1830 1944 1952 1980 2013 2025 2160 2196 2200 2376 2400 2430 2440 2475 2592 2640 2673 2684 2700 2745 2928 2970 3050 3168 3240 3294 3300 3355 3564 3600 3660 3888 3960 4026 4050 4320 4392 4400 4455 4575 4752 4860 4880 4941 4950 5280 5346 5368 5400 5490 5856 5940 6039 6075 6100 6480 6588 6600 6710 7128 7200 7320 7425 7776 7920 8052 8100 8235 8784 8800 8910 9150 9504 9720 9760 9882 9900 10065 10692 10736 10800 10980 11880 12078 12150 12200 12960 13176 13200 13365 13420 13725 14256 14640 14823 14850 15840 16104 16200 16470 16775 17568 17820 18117 18300 19440 19764 19800 20130 21384 21472 21600 21960 22275 23760 24156 24300 24400 24705 26352 26400 26730 26840 27450 28512 29280 29646 29700 30195 32208 32400 32940 33550 35640 36234 36600 38880 39528 39600 40260 41175 42768 43920 44550 47520 48312 48600 48800 49410 50325 52704 53460 53680 54351 54900 59292 59400 60390 64416 64800 65880 66825 67100 71280 72468 73200 74115 79056 79200 80520 82350 85536 87840 89100 90585 96624 97200 98820 100650 106920 107360 108702 109800 118584 118800 120780 123525 131760 133650 134200 142560 144936 146400 148230 150975 158112 161040 163053 164700 178200 181170 193248 194400 197640 201300 213840 217404 219600 237168 237600 241560 247050 263520 267300 268400 271755 289872 296460 301950 322080 326106 329400 356400 362340 370575 395280 402600 427680 434808 439200 452925 474336 483120 494100 534600 536800 543510 579744 592920 603900 652212 658800 712800 724680 741150 790560 805200 815265 869616 905850 966240 988200 1069200 1087020 1185840 1207800 1304424 1317600 1358775 1449360 1482300 1610400 1630530 1739232 1811700 1976400 2138400 2174040 2371680 2415600 2608848 2717550 2898720 2964600 3261060 3623400 3952800 4076325 4348080 4831200 5217696 5435100 5929200 6522120 7246800 8152650 8696160 10870200 11858400 13044240 14493600 16305300 21740400 26088480 32610600 43480800 65221200 130442400
- Sum of all divisors σ(n): 528903648
- Sum of proper divisors (its aliquot sum) s(n): 398461248
- 130442400 is an abundant number, because the sum of its proper divisors (398461248) is greater than itself. Its abundance is 268018848
Bases of 130442400
- Binary: 1111100011001100100101000002
- Hexadecimal: 0x7C664A0
- Base-36: 25NU00
Squares and roots of 130442400
- 130442400 squared (1304424002) is 17015219717760000
- 130442400 cubed (1304424003) is 2219506096511937024000000
-
The
square root of 130442400 is 11421.1382970351 -
The
cube root of 130442400 is 507.1536945191
Scales and comparisons
How big is 130442400?- 130,442,400 seconds is equal to 4 years, 7 weeks, 4 days, 18 hours.
-
To count from 1 to 130,442,400 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 130442400 cubic inches would be around 42.3 feet tall.
Recreational maths with 130442400
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