68035968
68,035,968 is an even composite number composed of six prime numbers multiplied together.
68035968 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 68035968:
27 × 32 × 7 × 11 × 13 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 59)See below for interesting mathematical facts about the number 68035968 from the Numbermatics database.
Names of 68035968
- Cardinal: 68035968 can be written as Sixty-eight million, thirty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 6.8035968 × 107
Factors of 68035968
Divisors of 68035968
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 59 63 64 66 72 77 78 84 88 91 96 99 104 112 117 118 126 128 132 143 144 154 156 168 176 177 182 192 198 208 224 231 234 236 252 264 273 286 288 308 312 336 352 354 364 384 396 413 416 429 448 462 468 472 504 528 531 546 572 576 616 624 649 672 693 704 708 728 767 792 819 826 832 858 896 924 936 944 1001 1008 1056 1062 1092 1144 1152 1232 1239 1248 1287 1298 1344 1386 1408 1416 1456 1534 1584 1638 1652 1664 1716 1848 1872 1888 1947 2002 2016 2112 2124 2184 2288 2301 2464 2478 2496 2574 2596 2688 2772 2832 2912 3003 3068 3168 3276 3304 3432 3696 3717 3744 3776 3894 4004 4032 4224 4248 4368 4543 4576 4602 4928 4956 4992 5148 5192 5369 5544 5664 5824 5841 6006 6136 6336 6552 6608 6864 6903 7392 7434 7488 7552 7788 8008 8064 8437 8496 8736 9009 9086 9152 9204 9856 9912 10296 10384 10738 11088 11328 11648 11682 12012 12272 12672 13104 13216 13629 13728 13806 14784 14868 14976 15576 16016 16107 16874 16992 17472 18018 18172 18304 18408 19824 20592 20768 21476 22176 22656 23364 24024 24544 25311 26208 26432 27258 27456 27612 29568 29736 31152 32032 32214 33748 33984 34944 36036 36344 36816 39648 40887 41184 41536 42952 44352 46728 48048 48321 49088 50622 52416 52864 54516 54912 55224 59059 59472 62304 64064 64428 67496 67968 72072 72688 73632 75933 79296 81774 82368 83072 85904 88704 93456 96096 96642 98176 101244 104832 109032 110448 118118 118944 124608 128128 128856 134992 144144 145376 147264 151866 158592 163548 164736 171808 177177 186912 192192 193284 202488 218064 220896 236236 237888 249216 257712 269984 288288 290752 294528 303732 327096 343616 354354 373824 384384 386568 404976 436128 441792 472472 475776 515424 531531 539968 576576 581504 607464 654192 687232 708708 747648 773136 809952 872256 883584 944944 1030848 1063062 1079936 1153152 1214928 1308384 1417416 1546272 1619904 1744512 1889888 2061696 2126124 2429856 2616768 2834832 3092544 3239808 3779776 4252248 4859712 5233536 5669664 6185088 7559552 8504496 9719424 11339328 17008992 22678656 34017984 68035968
- Sum of all divisors σ(n): 267321600
- Sum of proper divisors (its aliquot sum) s(n): 199285632
- 68035968 is an abundant number, because the sum of its proper divisors (199285632) is greater than itself. Its abundance is 131249664
Bases of 68035968
- Binary: 1000000111000100101100000002
- Hexadecimal: 0x40E2580
- Base-36: 14I8W0
Squares and roots of 68035968
- 68035968 squared (680359682) is 4628892941697024
- 68035968 cubed (680359683) is 314931212056724590559232
-
The
square root of 68035968 is 8248.3918432625 -
The
cube root of 68035968 is 408.2374626887
Scales and comparisons
How big is 68035968?- 68,035,968 seconds is equal to 2 years, 8 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 68,035,968 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 68035968 cubic inches would be around 34 feet tall.
Recreational maths with 68035968
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