468068331120
468,068,331,120 is an even composite number composed of seven prime numbers multiplied together.
468068331120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 468068331120:
24 × 3 × 5 × 13 × 29 × 1093 × 4733
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 29 × 1093 × 4733)See below for interesting mathematical facts about the number 468068331120 from the Numbermatics database.
Names of 468068331120
- Cardinal: 468068331120 can be written as Four hundred sixty-eight billion, sixty-eight million, three hundred thirty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.6806833112 × 1011
Factors of 468068331120
Divisors of 468068331120
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 39 40 48 52 58 60 65 78 80 87 104 116 120 130 145 156 174 195 208 232 240 260 290 312 348 377 390 435 464 520 580 624 696 754 780 870 1040 1093 1131 1160 1392 1508 1560 1740 1885 2186 2262 2320 3016 3120 3279 3480 3770 4372 4524 4733 5465 5655 6032 6558 6960 7540 8744 9048 9466 10930 11310 13116 14199 14209 15080 16395 17488 18096 18932 21860 22620 23665 26232 28398 28418 30160 31697 32790 37864 42627 43720 45240 47330 52464 56796 56836 61529 63394 65580 70995 71045 75728 85254 87440 90480 94660 95091 113592 113672 123058 126788 131160 137257 141990 142090 158485 170508 184587 189320 190182 213135 227184 227344 246116 253576 262320 274514 283980 284180 307645 316970 341016 369174 378640 380364 411771 412061 426270 475455 492232 507152 549028 567960 568360 615290 633940 682032 686285 738348 760728 823542 824122 852540 922935 950910 984464 1098056 1135920 1136720 1230580 1236183 1267880 1372570 1476696 1521456 1647084 1648244 1705080 1784341 1845870 1901820 2058855 2060305 2196112 2461160 2472366 2535760 2745140 2953392 3294168 3296488 3410160 3568682 3691740 3803640 4117710 4120610 4922320 4944732 5173169 5353023 5490280 6180915 6588336 6592976 7137364 7383480 7607280 8235420 8241220 8921705 9889464 10346338 10706046 10980560 12361830 14274728 14766960 15519507 16470840 16482440 17843410 19778928 20692676 21412092 24723660 25865845 26765115 28549456 31039014 32941680 32964880 35686820 41385352 42824184 49447320 51731690 53530230 62078028 67251197 71373640 77597535 82770704 85648368 98894640 103463380 107060460 124156056 134502394 142747280 150021901 155195070 201753591 206926760 214120920 248312112 269004788 300043802 310390140 336255985 403507182 413853520 428241840 450065703 538009576 600087604 620780280 672511970 750109505 807014364 900131406 1008767955 1076019152 1200175208 1241560560 1345023940 1500219010 1614028728 1800262812 1950284713 2017535910 2250328515 2400350416 2690047880 3000438020 3228057456 3600525624 3900569426 4035071820 4500657030 5380095760 5850854139 6000876040 7201051248 7801138852 8070143640 9001314060 9751423565 11701708278 12001752080 15602277704 16140287280 18002628120 19502847130 23403416556 29254270695 31204555408 36005256240 39005694260 46806833112 58508541390 78011388520 93613666224 117017082780 156022777040 234034165560 468068331120
- Sum of all divisors σ(n): 1618332670080
- Sum of proper divisors (its aliquot sum) s(n): 1150264338960
- 468068331120 is an abundant number, because the sum of its proper divisors (1150264338960) is greater than itself. Its abundance is 682196007840
Bases of 468068331120
- Binary: 1101100111110110000101111101110011100002
- Hexadecimal: 0x6CFB0BEE70
- Base-36: 5Z0ZSRQO
Squares and roots of 468068331120
- 468068331120 squared (4680683311202) is 219087962597461960454400
- 468068331120 cubed (4680683311203) is 102548137021475000177574444860928000
-
The
square root of 468068331120 is 684155.1952006211 -
The
cube root of 468068331120 is 7764.3139204099
Scales and comparisons
How big is 468068331120?- 468,068,331,120 seconds is equal to 14,883 years, 6 weeks, 3 days, 12 hours, 52 minutes.
-
To count from 1 to 468,068,331,120 would take you about twenty-nine thousand, seven hundred sixty-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 468068331120 cubic inches would be around 647 feet tall.
Recreational maths with 468068331120
- 468068331120 backwards is 021133860864
- The number of decimal digits it has is: 12
- The sum of 468068331120's digits is 42
- More coming soon!
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