34321382144
34,321,382,144 is an even composite number composed of six prime numbers multiplied together.
34321382144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 34321382144:
28 × 7 × 17 × 29 × 53 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 29 × 53 × 733)See below for interesting mathematical facts about the number 34321382144 from the Numbermatics database.
Names of 34321382144
- Cardinal: 34321382144 can be written as Thirty-four billion, three hundred twenty-one million, three hundred eighty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.4321382144 × 1010
Factors of 34321382144
Divisors of 34321382144
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 32 34 53 56 58 64 68 106 112 116 119 128 136 203 212 224 232 238 256 272 371 406 424 448 464 476 493 544 733 742 812 848 896 901 928 952 986 1088 1466 1484 1537 1624 1696 1792 1802 1856 1904 1972 2176 2932 2968 3074 3248 3392 3451 3604 3712 3808 3944 4352 5131 5864 5936 6148 6307 6496 6784 6902 7208 7424 7616 7888 10262 10759 11728 11872 12296 12461 12614 12992 13568 13804 14416 15232 15776 20524 21257 21518 23456 23744 24592 24922 25228 25984 26129 27608 28832 30464 31552 38849 41048 42514 43036 46912 47488 49184 49844 50456 51968 52258 55216 57664 63104 77698 82096 85028 86072 87227 93824 94976 98368 99688 100912 104516 110432 115328 126208 148799 155396 164192 170056 172144 174454 182903 187648 196736 199376 201824 209032 220864 230656 271943 297598 310792 328384 340112 344288 348908 361369 365806 393472 398752 403648 418064 441728 543886 595196 621584 656768 660433 680224 688576 697816 722738 731612 797504 807296 836128 883456 1087772 1126621 1190392 1243168 1313536 1320866 1360448 1377152 1395632 1445476 1463224 1595008 1614592 1672256 2175544 2253242 2380784 2486336 2529583 2641732 2720896 2754304 2791264 2890952 2926448 3190016 3344512 4351088 4506484 4623031 4761568 4972672 5059166 5283464 5441792 5582528 5781904 5852896 6689024 7886347 8702176 9012968 9246062 9523136 9945344 10118332 10566928 11165056 11563808 11705792 15772694 17404352 18025936 18492124 19046272 19152557 20236664 21133856 22330112 23127616 23411584 31545388 34808704 36051872 36984248 38092544 38305114 40473328 42267712 46255232 46823168 63090776 69617408 72103744 73968496 76610228 80946656 84535424 92510464 126181552 134067899 144207488 147936992 153220456 161893312 169070848 252363104 268135798 288414976 295873984 306440912 323786624 504726208 536271596 591747968 612881824 647573248 1009452416 1072543192 1183495936 1225763648 2018904832 2145086384 2451527296 4290172768 4903054592 8580345536 17160691072 34321382144
- Sum of all divisors σ(n): 87497262720
- Sum of proper divisors (its aliquot sum) s(n): 53175880576
- 34321382144 is an abundant number, because the sum of its proper divisors (53175880576) is greater than itself. Its abundance is 18854498432
Bases of 34321382144
- Binary: 111111111011011011010111011000000002
- Hexadecimal: 0x7FDB6BB00
- Base-36: FRM2BY8
Squares and roots of 34321382144
- 34321382144 squared (343213821442) is 1177957272274482036736
- 34321382144 cubed (343213821443) is 40429121691036354042479702441984
-
The
square root of 34321382144 is 185260.3091436477 -
The
cube root of 34321382144 is 3249.7871937661
Scales and comparisons
How big is 34321382144?- 34,321,382,144 seconds is equal to 1,091 years, 16 weeks, 2 days, 5 hours, 15 minutes, 44 seconds.
-
To count from 1 to 34,321,382,144 would take you about two thousand, one hundred eighty-two 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 34321382144 cubic inches would be around 270.8 feet tall.
Recreational maths with 34321382144
- 34321382144 backwards is 44128312343
- The number of decimal digits it has is: 11
- The sum of 34321382144's digits is 35
- More coming soon!
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