668041920
668,041,920 is an even composite number composed of six prime numbers multiplied together.
668041920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 668041920:
26 × 32 × 5 × 7 × 13 × 2549
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 2549)See below for interesting mathematical facts about the number 668041920 from the Numbermatics database.
Names of 668041920
- Cardinal: 668041920 can be written as Six hundred sixty-eight million, forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 6.6804192 × 108
Factors of 668041920
Divisors of 668041920
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 260 273 280 288 312 315 320 336 360 364 390 416 420 448 455 468 480 504 520 546 560 576 585 624 630 672 720 728 780 819 832 840 910 936 960 1008 1040 1092 1120 1170 1248 1260 1344 1365 1440 1456 1560 1638 1680 1820 1872 2016 2080 2184 2240 2340 2496 2520 2549 2730 2880 2912 3120 3276 3360 3640 3744 4032 4095 4160 4368 4680 5040 5098 5460 5824 6240 6552 6720 7280 7488 7647 8190 8736 9360 10080 10196 10920 12480 12745 13104 14560 15294 16380 17472 17843 18720 20160 20392 21840 22941 25490 26208 29120 30588 32760 33137 35686 37440 38235 40784 43680 45882 50980 52416 53529 61176 65520 66274 71372 76470 81568 87360 89215 91764 99411 101960 107058 114705 122352 131040 132548 142744 152940 160587 163136 165685 178430 183528 198822 203920 214116 229410 231959 244704 262080 265096 267645 285488 298233 305880 321174 331370 356860 367056 397644 407840 428232 458820 463918 489408 497055 530192 535290 570976 596466 611760 642348 662740 695877 713720 734112 795288 802935 815680 856464 917640 927836 994110 1060384 1070580 1141952 1159795 1192932 1223520 1284696 1325480 1391754 1427440 1468224 1491165 1590576 1605870 1712928 1835280 1855672 1988220 2087631 2120768 2141160 2319590 2385864 2447040 2569392 2650960 2783508 2854880 2982330 3181152 3211740 3425856 3479385 3670560 3711344 3976440 4175262 4282320 4639180 4771728 5138784 5301920 5567016 5709760 5964660 6362304 6423480 6958770 7341120 7422688 7952880 8350524 8564640 9278360 9543456 10277568 10438155 10603840 11134032 11929320 12846960 13917540 14845376 15905760 16701048 17129280 18556720 19086912 20876310 22268064 23858640 25693920 27835080 31811520 33402096 37113440 41752620 44536128 47717280 51387840 55670160 66804192 74226880 83505240 95434560 111340320 133608384 167010480 222680640 334020960 668041920
- Sum of all divisors σ(n): 2829153600
- Sum of proper divisors (its aliquot sum) s(n): 2161111680
- 668041920 is an abundant number, because the sum of its proper divisors (2161111680) is greater than itself. Its abundance is 1493069760
Bases of 668041920
- Binary: 1001111101000110000010110000002
- Hexadecimal: 0x27D182C0
- Base-36: B1QGG0
Squares and roots of 668041920
- 668041920 squared (6680419202) is 446280006877286400
- 668041920 cubed (6680419203) is 298133752651915611045888000
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The
square root of 668041920 is 25846.5069206651 -
The
cube root of 668041920 is 874.1807493767
Scales and comparisons
How big is 668041920?- 668,041,920 seconds is equal to 21 years, 12 weeks, 3 days, 23 hours, 12 minutes.
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To count from 1 to 668,041,920 would take you about thirty-one 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 668041920 cubic inches would be around 72.8 feet tall.
Recreational maths with 668041920
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