830513250
830,513,250 is an even composite number composed of five prime numbers multiplied together.
830513250 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 830513250:
2 × 37 × 53 × 72 × 31
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 31)See below for interesting mathematical facts about the number 830513250 from the Numbermatics database.
Names of 830513250
- Cardinal: 830513250 can be written as Eight hundred thirty million, five hundred thirteen thousand, two hundred fifty.
Scientific notation
- Scientific notation: 8.3051325 × 108
Factors of 830513250
Divisors of 830513250
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 31 35 42 45 49 50 54 62 63 70 75 81 90 93 98 105 125 126 135 147 150 155 162 175 186 189 210 217 225 243 245 250 270 279 294 310 315 350 375 378 405 434 441 450 465 486 490 525 558 567 630 651 675 729 735 750 775 810 837 875 882 930 945 1050 1085 1125 1134 1215 1225 1302 1323 1350 1395 1458 1470 1519 1550 1575 1674 1701 1750 1890 1953 2025 2170 2187 2205 2250 2325 2430 2450 2511 2625 2646 2790 2835 3038 3150 3255 3375 3402 3645 3675 3875 3906 3969 4050 4185 4374 4410 4557 4650 4725 5022 5103 5250 5425 5670 5859 6075 6125 6510 6615 6750 6975 7290 7350 7533 7595 7750 7875 7938 8370 8505 9114 9450 9765 10125 10206 10850 10935 11025 11625 11718 11907 12150 12250 12555 13230 13671 13950 14175 15066 15190 15309 15750 16275 17010 17577 18225 18375 19530 19845 20250 20925 21870 22050 22599 22785 23250 23625 23814 25110 25515 27125 27342 28350 29295 30375 30618 32550 33075 34875 35154 35721 36450 36750 37665 37975 39690 41013 41850 42525 45198 45570 47250 48825 51030 52731 54250 54675 55125 58590 59535 60750 62775 66150 67797 68355 69750 70875 71442 75330 75950 76545 81375 82026 85050 87885 91125 97650 99225 104625 105462 107163 109350 110250 112995 113925 119070 123039 125550 127575 135594 136710 141750 146475 153090 158193 162750 165375 175770 178605 182250 188325 189875 198450 205065 209250 212625 214326 225990 227850 244125 246078 255150 263655 273375 292950 297675 313875 316386 330750 338985 341775 357210 369117 376650 379750 382725 410130 425250 439425 474579 488250 496125 527310 535815 546750 564975 569625 595350 615195 627750 637875 677970 683550 732375 738234 765450 790965 878850 893025 941625 949158 992250 1025325 1071630 1107351 1129950 1139250 1230390 1275750 1318275 1464750 1488375 1581930 1694925 1708875 1786050 1845585 1883250 1913625 2050650 2197125 2214702 2372895 2636550 2679075 2824875 2976750 3075975 3322053 3389850 3417750 3691170 3827250 3954825 4394250 4465125 4745790 5126625 5358150 5536755 5649750 6151950 6591375 6644106 7909650 8474625 8930250 9227925 10253250 11073510 11864475 13182750 13395375 15379875 16610265 16949250 18455850 19774125 23728950 26790750 27683775 30759750 33220530 39548250 46139625 55367550 59322375 83051325 92279250 118644750 138418875 166102650 276837750 415256625 830513250
- Sum of all divisors σ(n): 2799912960
- Sum of proper divisors (its aliquot sum) s(n): 1969399710
- 830513250 is an abundant number, because the sum of its proper divisors (1969399710) is greater than itself. Its abundance is 1138886460
Bases of 830513250
- Binary: 1100011000000010100000011000102
- Hexadecimal: 0x3180A062
- Base-36: DQGS4I
Squares and roots of 830513250
- 830513250 squared (8305132502) is 689752258425562500
- 830513250 cubed (8305132503) is 572848389839853794953125000
-
The
square root of 830513250 is 28818.6267889361 -
The
cube root of 830513250 is 939.9733091863
Scales and comparisons
How big is 830513250?- 830,513,250 seconds is equal to 26 years, 21 weeks, 1 day, 10 hours, 7 minutes, 30 seconds.
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To count from 1 to 830,513,250 would take you about thirty-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 830513250 cubic inches would be around 78.3 feet tall.
Recreational maths with 830513250
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