71268120
71,268,120 is an even composite number composed of six prime numbers multiplied together.
71268120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 71268120:
23 × 33 × 5 × 7 × 11 × 857
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 857)See below for interesting mathematical facts about the number 71268120 from the Numbermatics database.
Names of 71268120
- Cardinal: 71268120 can be written as Seventy-one million, two hundred sixty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 7.126812 × 107
Factors of 71268120
Divisors of 71268120
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 27 28 30 33 35 36 40 42 44 45 54 55 56 60 63 66 70 72 77 84 88 90 99 105 108 110 120 126 132 135 140 154 165 168 180 189 198 210 216 220 231 252 264 270 280 297 308 315 330 360 378 385 396 420 440 462 495 504 540 594 616 630 660 693 756 770 792 840 857 924 945 990 1080 1155 1188 1260 1320 1386 1485 1512 1540 1714 1848 1890 1980 2079 2310 2376 2520 2571 2772 2970 3080 3428 3465 3780 3960 4158 4285 4620 5142 5544 5940 5999 6856 6930 7560 7713 8316 8570 9240 9427 10284 10395 11880 11998 12855 13860 15426 16632 17140 17997 18854 20568 20790 23139 23996 25710 27720 28281 29995 30852 34280 35994 37708 38565 41580 46278 47135 47992 51420 53991 56562 59990 61704 65989 71988 75416 77130 83160 84843 89985 92556 94270 102840 107982 113124 115695 119980 131978 141405 143976 154260 161973 169686 179970 185112 188540 197967 215964 226248 231390 239960 254529 263956 269955 282810 308520 323946 329945 339372 359940 377080 395934 424215 431928 462780 509058 527912 539910 565620 593901 647892 659890 678744 719880 791868 809865 848430 925560 989835 1018116 1079820 1131240 1187802 1272645 1295784 1319780 1583736 1619730 1696860 1781703 1979670 2036232 2159640 2375604 2545290 2639560 2969505 3239460 3393720 3563406 3959340 4751208 5090580 5939010 6478920 7126812 7918680 8908515 10181160 11878020 14253624 17817030 23756040 35634060 71268120
- Sum of all divisors σ(n): 296524800
- Sum of proper divisors (its aliquot sum) s(n): 225256680
- 71268120 is an abundant number, because the sum of its proper divisors (225256680) is greater than itself. Its abundance is 153988560
Bases of 71268120
- Binary: 1000011111101110111000110002
- Hexadecimal: 0x43F7718
- Base-36: 16FIU0
Squares and roots of 71268120
- 71268120 squared (712681202) is 5079144928334400
- 71268120 cubed (712681203) is 361981110249927419328000
-
The
square root of 71268120 is 8442.0447760007 -
The
cube root of 71268120 is 414.6023577767
Scales and comparisons
How big is 71268120?- 71,268,120 seconds is equal to 2 years, 13 weeks, 5 days, 20 hours, 42 minutes.
-
To count from 1 to 71,268,120 would take you about three 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 71268120 cubic inches would be around 34.6 feet tall.
Recreational maths with 71268120
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