966428100
966,428,100 is an even composite number composed of seven prime numbers multiplied together.
966428100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 966428100:
22 × 32 × 52 × 11 × 31 × 47 × 67
(2 × 2 × 3 × 3 × 5 × 5 × 11 × 31 × 47 × 67)See below for interesting mathematical facts about the number 966428100 from the Numbermatics database.
Names of 966428100
- Cardinal: 966428100 can be written as Nine hundred sixty-six million, four hundred twenty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 9.664281 × 108
Factors of 966428100
Divisors of 966428100
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 31 33 36 44 45 47 50 55 60 62 66 67 75 90 93 94 99 100 110 124 132 134 141 150 155 165 180 186 188 198 201 220 225 235 268 275 279 282 300 310 330 335 341 372 396 402 423 450 465 470 495 517 550 558 564 603 620 660 670 682 705 737 775 804 825 846 900 930 940 990 1005 1023 1034 1100 1116 1175 1206 1340 1364 1395 1410 1457 1474 1550 1551 1650 1675 1692 1705 1860 1980 2010 2046 2068 2077 2115 2211 2325 2350 2412 2475 2585 2790 2820 2914 2948 3015 3069 3100 3102 3149 3300 3350 3410 3525 3685 4020 4092 4154 4230 4371 4422 4650 4653 4700 4950 5025 5115 5170 5580 5828 6030 6138 6204 6231 6298 6633 6700 6820 6975 7050 7285 7370 7755 8308 8460 8525 8742 8844 9300 9306 9447 9900 10050 10230 10340 10385 10575 11055 12060 12276 12462 12596 12925 13113 13266 13950 14100 14570 14740 15075 15345 15510 15745 16027 17050 17484 18425 18612 18693 18894 20100 20460 20770 21150 21855 22110 22847 23265 24924 25575 25850 26226 26532 27900 28341 29140 30150 30690 31020 31155 31490 32054 33165 34100 34639 36425 36850 37386 37788 38775 41540 42300 43710 44220 45694 46530 47235 48081 51150 51700 51925 52452 55275 56682 60300 61380 62310 62980 64108 65565 66330 68541 69278 72850 73700 74772 76725 77550 78725 80135 87420 91388 93060 93465 94470 96162 97619 102300 103850 103917 109275 110550 113364 114235 116325 124620 131130 132660 137082 138556 141705 144243 145700 153450 155100 155775 157450 160270 165825 173195 186930 188940 192324 195238 205623 207700 207834 218550 221100 228470 232650 236175 240405 262260 274164 283410 288486 292857 306900 311550 311751 314900 320540 327825 331650 342705 346390 373860 390476 400675 411246 415668 437100 456940 465300 467325 472350 480810 488095 519585 566820 571175 576972 585714 623100 623502 655650 663300 685410 692780 708525 721215 801350 822492 865975 878571 934650 944700 961620 976190 1028115 1039170 1073809 1142350 1171428 1202025 1247004 1311300 1370820 1417050 1442430 1464285 1558755 1602700 1713525 1731950 1757142 1869300 1952380 2056230 2078340 2147618 2284700 2404050 2440475 2597925 2834100 2884860 2928570 3117510 3221427 3427050 3463900 3514284 3606075 4112460 4295236 4392855 4808100 4880950 5140575 5195850 5369045 5857140 6235020 6442854 6854100 7212150 7321425 7793775 8785710 9664281 9761900 10281150 10391700 10738090 12885708 14424300 14642850 15587550 16107135 17571420 19328562 20562300 21476180 21964275 26845225 29285700 31175100 32214270 38657124 43928550 48321405 53690450 64428540 80535675 87857100 96642810 107380900 161071350 193285620 241607025 322142700 483214050 966428100
- Sum of all divisors σ(n): 3535773696
- Sum of proper divisors (its aliquot sum) s(n): 2569345596
- 966428100 is an abundant number, because the sum of its proper divisors (2569345596) is greater than itself. Its abundance is 1602917496
Bases of 966428100
- Binary: 1110011001101010000101110001002
- Hexadecimal: 0x399A85C4
- Base-36: FZDWP0
Squares and roots of 966428100
- 966428100 squared (9664281002) is 933983272469610000
- 966428100 cubed (9664281003) is 902627679444587500041000000
-
The
square root of 966428100 is 31087.4267188521 -
The
cube root of 966428100 is 988.6817471185
Scales and comparisons
How big is 966428100?- 966,428,100 seconds is equal to 30 years, 37 weeks, 6 days, 12 hours, 15 minutes.
-
To count from 1 to 966,428,100 would take you about forty-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 966428100 cubic inches would be around 82.4 feet tall.
Recreational maths with 966428100
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