1338163008
1,338,163,008 is an even composite number composed of seven prime numbers multiplied together.
1338163008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 1338163008:
26 × 3 × 7 × 13 × 19 × 29 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 19 × 29 × 139)See below for interesting mathematical facts about the number 1338163008 from the Numbermatics database.
Names of 1338163008
- Cardinal: 1338163008 can be written as One billion, three hundred thirty-eight million, one hundred sixty-three thousand and eight.
Scientific notation
- Scientific notation: 1.338163008 × 109
Factors of 1338163008
Divisors of 1338163008
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 29 32 38 39 42 48 52 56 57 58 64 76 78 84 87 91 96 104 112 114 116 133 139 152 156 168 174 182 192 203 208 224 228 232 247 266 273 278 304 312 336 348 364 377 399 406 416 417 448 456 464 494 532 546 551 556 608 609 624 672 696 728 741 754 798 812 832 834 912 928 973 988 1064 1092 1102 1112 1131 1216 1218 1248 1344 1392 1456 1482 1508 1596 1624 1653 1668 1729 1807 1824 1856 1946 1976 2128 2184 2204 2224 2262 2436 2496 2639 2641 2784 2912 2919 2964 3016 3192 3248 3306 3336 3458 3614 3648 3857 3892 3952 4031 4256 4368 4408 4448 4524 4872 5187 5278 5282 5421 5568 5824 5838 5928 6032 6384 6496 6612 6672 6916 7163 7228 7714 7784 7904 7917 7923 8062 8512 8736 8816 8896 9048 9744 10374 10556 10564 10842 11571 11676 11856 12064 12093 12649 12768 12992 13224 13344 13832 14326 14456 15428 15568 15808 15834 15846 16124 17472 17632 18096 18487 19488 20748 21112 21128 21489 21684 23142 23352 23712 24128 24186 25298 25536 26448 26688 27664 28217 28652 28912 30856 31136 31668 31692 32248 34333 35264 36192 36974 37947 38976 41496 42224 42256 42978 43368 46284 46704 47424 48372 50141 50596 52403 52896 55328 55461 56434 57304 57824 61712 62272 63336 63384 64496 68666 72384 73948 75894 76589 82992 84448 84512 84651 85956 86736 92568 93408 96744 100282 101192 102999 104806 105792 110656 110922 112868 114608 115648 123424 126672 126768 128992 137332 147896 150423 151788 153178 157209 165984 168896 169024 169302 171912 173472 185136 186816 193488 200564 202384 205998 209612 221844 225736 229216 229767 240331 246848 253344 253536 257984 274664 295792 300846 303576 306356 314418 331968 338604 343824 346944 366821 370272 386976 401128 404768 411996 419224 443688 451472 458432 459534 480662 506688 507072 536123 549328 591584 601692 607152 612712 628836 677208 687648 720993 733642 740544 773952 802256 809536 823992 838448 887376 902944 919068 961324 995657 1072246 1098656 1100463 1183168 1203384 1214304 1225424 1257672 1354416 1375296 1441986 1467284 1604512 1608369 1647984 1676896 1774752 1805888 1838136 1922648 1991314 2144492 2197312 2200926 2406768 2428608 2450848 2515344 2708832 2883972 2934568 2986971 3209024 3216738 3295968 3353792 3549504 3676272 3845296 3982628 4288984 4401852 4813536 4901696 5030688 5417664 5767944 5869136 5973942 6433476 6591936 6969599 7352544 7690592 7965256 8577968 8803704 9627072 10061376 11535888 11738272 11947884 12866952 13939198 14705088 15381184 15930512 17155936 17607408 20908797 23071776 23476544 23895768 25733904 27878396 31861024 34311872 35214816 41817594 46143552 47791536 51467808 55756792 63722048 70429632 83635188 95583072 102935616 111513584 167270376 191166144 223027168 334540752 446054336 669081504 1338163008
- Sum of all divisors σ(n): 4779264000
- Sum of proper divisors (its aliquot sum) s(n): 3441100992
- 1338163008 is an abundant number, because the sum of its proper divisors (3441100992) is greater than itself. Its abundance is 2102937984
Bases of 1338163008
- Binary: 10011111100001010111111010000002
- Hexadecimal: 0x4FC2BF40
- Base-36: M4PH6O
Squares and roots of 1338163008
- 1338163008 squared (13381630082) is 1790680235979608064
- 1338163008 cubed (13381630083) is 2396222050944622153583296512
-
The
square root of 1338163008 is 36580.9104315351 -
The
cube root of 1338163008 is 1101.9697511359
Scales and comparisons
How big is 1338163008?- 1,338,163,008 seconds is equal to 42 years, 28 weeks, 3 days, 23 hours, 56 minutes, 48 seconds.
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To count from 1 to 1,338,163,008 would take you about eighty-five 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 1338163008 cubic inches would be around 91.8 feet tall.
Recreational maths with 1338163008
- 1338163008 backwards is 8003618331
- The number of decimal digits it has is: 10
- The sum of 1338163008's digits is 33
- More coming soon!
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