42128713200
42,128,713,200 is an even composite number composed of seven prime numbers multiplied together.
42128713200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42128713200:
24 × 3 × 52 × 7 × 17 × 47 × 6277
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 47 × 6277)See below for interesting mathematical facts about the number 42128713200 from the Numbermatics database.
Names of 42128713200
- Cardinal: 42128713200 can be written as Forty-two billion, one hundred twenty-eight million, seven hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 4.21287132 × 1010
Factors of 42128713200
Divisors of 42128713200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 34 35 40 42 47 48 50 51 56 60 68 70 75 80 84 85 94 100 102 105 112 119 120 136 140 141 150 168 170 175 188 200 204 210 235 238 240 255 272 280 282 300 329 336 340 350 357 376 400 408 420 425 470 476 510 525 560 564 595 600 658 680 700 705 714 752 799 816 840 850 940 952 987 1020 1050 1128 1175 1190 1200 1275 1316 1360 1400 1410 1428 1598 1645 1680 1700 1785 1880 1904 1974 2040 2100 2256 2350 2380 2397 2550 2632 2800 2820 2856 2975 3196 3290 3400 3525 3570 3760 3948 3995 4080 4200 4700 4760 4794 4935 5100 5264 5593 5640 5712 5950 6277 6392 6580 6800 7050 7140 7896 7990 8225 8400 8925 9400 9520 9588 9870 10200 11186 11280 11900 11985 12554 12784 13160 14100 14280 15792 15980 16450 16779 17850 18800 18831 19176 19740 19975 20400 22372 23800 23970 24675 25108 26320 27965 28200 28560 31385 31960 32900 33558 35700 37662 38352 39480 39950 43939 44744 47600 47940 49350 50216 55930 56400 59925 62770 63920 65800 67116 71400 75324 78960 79900 83895 87878 89488 94155 95880 98700 100432 106709 111860 119850 125540 131600 131817 134232 139825 142800 150648 156925 159800 167790 175756 188310 191760 197400 213418 219695 223720 239700 251080 263634 268464 279650 295019 301296 313850 319600 320127 335580 351512 376620 394800 419475 426836 439390 447440 470775 479400 502160 527268 533545 559300 590038 627700 640254 659085 671160 703024 746963 753240 838950 853672 878780 885057 941550 958800 1054536 1067090 1098475 1118600 1180076 1255400 1280508 1318170 1342320 1475095 1493926 1506480 1600635 1677900 1707344 1757560 1770114 1883100 2065133 2109072 2134180 2196950 2237200 2240889 2360152 2510800 2561016 2636340 2667725 2950190 2987852 3201270 3295425 3355800 3515120 3540228 3734815 3766200 4130266 4268360 4393900 4425285 4481778 4720304 5015323 5122032 5272680 5335450 5900380 5975704 6195399 6402540 6590850 6711600 7080456 7375475 7469630 7532400 8003175 8260532 8536720 8787800 8850570 8963556 10030646 10325665 10545360 10670900 11204445 11800760 11951408 12390798 12805080 13181700 14160912 14750950 14939260 15045969 16006350 16521064 17575600 17701140 17927112 18674075 20061292 20651330 21341800 22126425 22408890 23601520 24781596 25076615 25610160 26363400 29501900 29878520 30091938 30976995 32012700 33042128 35107261 35402280 35854224 37348150 40122584 41302660 42683600 44252850 44817780 49563192 50153230 51628325 52726800 56022225 59003800 59757040 60183876 61953990 64025400 70214522 70804560 74696300 75229845 80245168 82605320 88505700 89635560 99126384 100306460 103256650 105321783 112044450 118007600 120367752 123907980 125383075 128050800 140429044 149392600 150459690 154884975 165210640 175536305 177011400 179271120 200612920 206513300 210643566 224088900 240735504 247815960 250766150 280858088 298785200 300919380 309769950 351072610 354022800 376149225 401225840 413026600 421287132 448177800 495631920 501532300 526608915 561716176 601838760 619539900 702145220 752298450 826053200 842574264 877681525 896355600 1003064600 1053217830 1203677520 1239079800 1404290440 1504596900 1685148528 1755363050 2006129200 2106435660 2478159600 2633044575 2808580880 3009193800 3510726100 4212871320 5266089150 6018387600 7021452200 8425742640 10532178300 14042904400 21064356600 42128713200
- Sum of all divisors σ(n): 166804752384
- Sum of proper divisors (its aliquot sum) s(n): 124676039184
- 42128713200 is an abundant number, because the sum of its proper divisors (124676039184) is greater than itself. Its abundance is 82547325984
Bases of 42128713200
- Binary: 1001110011110001000100100101111100002
- Hexadecimal: 0x9CF1125F0
- Base-36: JCQCJ5C
Squares and roots of 42128713200
- 42128713200 squared (421287132002) is 1774828475887854240000
- 42128713200 cubed (421287132003) is 74771239839872526640363968000000
-
The
square root of 42128713200 is 205252.8031477281 -
The
cube root of 42128713200 is 3479.5739007957
Scales and comparisons
How big is 42128713200?- 42,128,713,200 seconds is equal to 1,339 years, 29 weeks, 1 day, 20 hours, 20 minutes.
-
To count from 1 to 42,128,713,200 would take you about two thousand, six hundred seventy-nine 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 42128713200 cubic inches would be around 290 feet tall.
Recreational maths with 42128713200
- 42128713200 backwards is 00231782124
- 42128713200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42128713200's digits is 30
- More coming soon!
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