68433120
68,433,120 is an even composite number composed of six prime numbers multiplied together.
68433120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 68433120:
25 × 33 × 5 × 7 × 31 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 31 × 73)See below for interesting mathematical facts about the number 68433120 from the Numbermatics database.
Names of 68433120
- Cardinal: 68433120 can be written as Sixty-eight million, four hundred thirty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.843312 × 107
Factors of 68433120
Divisors of 68433120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 31 32 35 36 40 42 45 48 54 56 60 62 63 70 72 73 80 84 90 93 96 105 108 112 120 124 126 135 140 144 146 155 160 168 180 186 189 210 216 217 219 224 240 248 252 270 279 280 288 292 310 315 336 360 365 372 378 420 432 434 438 465 480 496 504 511 540 558 560 584 620 630 651 657 672 720 730 744 756 837 840 864 868 876 930 945 992 1008 1022 1080 1085 1095 1116 1120 1168 1240 1260 1302 1314 1395 1440 1460 1488 1512 1533 1674 1680 1736 1752 1860 1890 1953 1971 2016 2044 2160 2170 2190 2232 2263 2336 2480 2520 2555 2604 2628 2790 2920 2976 3024 3066 3255 3285 3348 3360 3472 3504 3720 3780 3906 3942 4088 4185 4320 4340 4380 4464 4526 4599 4960 5040 5110 5208 5256 5580 5840 5859 6048 6132 6510 6570 6696 6789 6944 7008 7440 7560 7665 7812 7884 8176 8370 8680 8760 8928 9052 9198 9765 9855 10080 10220 10416 10512 11160 11315 11680 11718 12264 13020 13140 13392 13578 13797 14880 15120 15330 15624 15768 15841 16352 16740 17360 17520 18104 18396 19530 19710 20367 20440 20832 21024 22320 22630 22995 23436 24528 26040 26280 26784 27156 27594 29295 30240 30660 31248 31536 31682 33480 33945 34720 35040 36208 36792 39060 39420 40734 40880 44640 45260 45990 46872 47523 49056 52080 52560 54312 55188 58590 61101 61320 62496 63072 63364 66960 67890 68985 72416 73584 78120 78840 79205 81468 81760 90520 91980 93744 95046 101835 104160 105120 108624 110376 117180 122202 122640 126728 133920 135780 137970 142569 147168 156240 157680 158410 162936 181040 183960 187488 190092 203670 217248 220752 234360 237615 244404 245280 253456 271560 275940 285138 305505 312480 315360 316820 325872 362080 367920 380184 407340 427707 441504 468720 475230 488808 506912 543120 551880 570276 611010 633640 651744 712845 735840 760368 814680 855414 937440 950460 977616 1086240 1103760 1140552 1222020 1267280 1425690 1520736 1629360 1710828 1900920 1955232 2138535 2207520 2281104 2444040 2534560 2851380 3258720 3421656 3801840 4277070 4562208 4888080 5702760 6843312 7603680 8554140 9776160 11405520 13686624 17108280 22811040 34216560 68433120
- Sum of all divisors σ(n): 286433280
- Sum of proper divisors (its aliquot sum) s(n): 218000160
- 68433120 is an abundant number, because the sum of its proper divisors (218000160) is greater than itself. Its abundance is 149567040
Bases of 68433120
- Binary: 1000001010000110100111000002
- Hexadecimal: 0x41434E0
- Base-36: 14QRC0
Squares and roots of 68433120
- 68433120 squared (684331202) is 4683091912934400
- 68433120 cubed (684331203) is 320478590848869347328000
-
The
square root of 68433120 is 8272.4313233777 -
The
cube root of 68433120 is 409.0302681831
Scales and comparisons
How big is 68433120?- 68,433,120 seconds is equal to 2 years, 9 weeks, 1 day, 1 hour, 12 minutes.
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To count from 1 to 68,433,120 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 68433120 cubic inches would be around 34.1 feet tall.
Recreational maths with 68433120
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