713085120
713,085,120 is an even composite number composed of six prime numbers multiplied together.
713085120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 713085120:
26 × 34 × 5 × 11 × 41 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 41 × 61)See below for interesting mathematical facts about the number 713085120 from the Numbermatics database.
Names of 713085120
- Cardinal: 713085120 can be written as Seven hundred thirteen million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 7.1308512 × 108
Factors of 713085120
Divisors of 713085120
- Number of divisors d(n): 560
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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 27 30 32 33 36 40 41 44 45 48 54 55 60 61 64 66 72 80 81 82 88 90 96 99 108 110 120 122 123 132 135 144 160 162 164 165 176 180 183 192 198 205 216 220 240 244 246 264 270 288 297 305 320 324 328 330 352 360 366 369 396 405 410 432 440 451 480 488 492 495 528 540 549 576 594 610 615 648 656 660 671 704 720 732 738 792 810 820 864 880 891 902 915 960 976 984 990 1056 1080 1098 1107 1188 1220 1230 1296 1312 1320 1342 1353 1440 1464 1476 1485 1584 1620 1640 1647 1728 1760 1782 1804 1830 1845 1952 1968 1980 2013 2112 2160 2196 2214 2255 2376 2440 2460 2501 2592 2624 2640 2684 2706 2745 2880 2928 2952 2970 3168 3240 3280 3294 3321 3355 3520 3564 3608 3660 3690 3904 3936 3960 4026 4059 4320 4392 4428 4455 4510 4752 4880 4920 4941 5002 5184 5280 5368 5412 5490 5535 5856 5904 5940 6039 6336 6480 6560 6588 6642 6710 6765 7128 7216 7320 7380 7503 7872 7920 8052 8118 8235 8640 8784 8856 8910 9020 9504 9760 9840 9882 10004 10065 10560 10736 10824 10980 11070 11712 11808 11880 12078 12177 12505 12960 13120 13176 13284 13420 13530 14256 14432 14640 14760 15006 15840 16104 16236 16470 16605 17568 17712 17820 18040 18117 19008 19520 19680 19764 20008 20130 20295 21472 21648 21960 22140 22509 23616 23760 24156 24354 24705 25010 25920 26352 26568 26840 27060 27511 28512 28864 29280 29520 30012 30195 31680 32208 32472 32940 33210 35136 35424 35640 36080 36234 36531 37515 39360 39528 40016 40260 40590 42944 43296 43920 44280 45018 47520 48312 48708 49410 50020 52704 53136 53680 54120 54351 55022 57024 58560 59040 60024 60390 60885 64416 64944 65880 66420 67527 70848 71280 72160 72468 73062 75030 79056 80032 80520 81180 82533 86592 87840 88560 90036 90585 95040 96624 97416 98820 100040 105408 106272 107360 108240 108702 110044 112545 118080 120048 120780 121770 128832 129888 131760 132840 135054 137555 142560 144320 144936 146124 150060 158112 160064 161040 162360 165066 175680 177120 180072 181170 182655 193248 194832 197640 200080 202581 212544 214720 216480 217404 220088 225090 240096 241560 243540 247599 259776 263520 265680 270108 271755 275110 285120 289872 292248 300120 316224 322080 324720 330132 337635 354240 360144 362340 365310 386496 389664 395280 400160 405162 412665 432960 434808 440176 450180 480192 483120 487080 495198 527040 531360 540216 543510 550220 579744 584496 600240 644160 649440 660264 675270 720288 724680 730620 742797 779328 790560 800320 810324 825330 869616 880352 900360 966240 974160 990396 1012905 1062720 1080432 1087020 1100440 1159488 1168992 1200480 1237995 1298880 1320528 1350540 1440576 1449360 1461240 1485594 1581120 1620648 1650660 1739232 1760704 1800720 1932480 1948320 1980792 2025810 2160864 2174040 2200880 2228391 2337984 2400960 2475990 2641056 2701080 2898720 2922480 2971188 3241296 3301320 3478464 3601440 3713985 3896640 3961584 4051620 4321728 4348080 4401760 4456782 4951980 5282112 5402160 5797440 5844960 5942376 6482592 6602640 7202880 7427970 7923168 8103240 8696160 8803520 8913564 9903960 10804320 11141955 11689920 11884752 12965184 13205280 14855940 15846336 16206480 17392320 17827128 19807920 21608640 22283910 23769504 26410560 29711880 32412960 35654256 39615840 44567820 47539008 59423760 64825920 71308512 79231680 89135640 118847520 142617024 178271280 237695040 356542560 713085120
- Sum of all divisors σ(n): 2881128096
- Sum of proper divisors (its aliquot sum) s(n): 2168042976
- 713085120 is an abundant number, because the sum of its proper divisors (2168042976) is greater than itself. Its abundance is 1454957856
Bases of 713085120
- Binary: 1010101000000011010000110000002
- Hexadecimal: 0x2A80D0C0
- Base-36: BSJW00
Squares and roots of 713085120
- 713085120 squared (7130851202) is 508490388365414400
- 713085120 cubed (7130851203) is 362596929606398131273728000
-
The
square root of 713085120 is 26703.6536825955 -
The
cube root of 713085120 is 893.4024203395
Scales and comparisons
How big is 713085120?- 713,085,120 seconds is equal to 22 years, 35 weeks, 7 hours, 12 minutes.
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To count from 1 to 713,085,120 would take you about thirty-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 713085120 cubic inches would be around 74.5 feet tall.
Recreational maths with 713085120
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