134768400
134,768,400 is an even composite number composed of six prime numbers multiplied together.
134768400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 134768400:
24 × 3 × 52 × 13 × 53 × 163
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 53 × 163)See below for interesting mathematical facts about the number 134768400 from the Numbermatics database.
Names of 134768400
- Cardinal: 134768400 can be written as One hundred thirty-four million, seven hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.347684 × 108
Factors of 134768400
Divisors of 134768400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 53 60 65 75 78 80 100 104 106 120 130 150 156 159 163 195 200 208 212 240 260 265 300 312 318 325 326 390 400 424 489 520 530 600 624 636 650 652 689 780 795 815 848 975 978 1040 1060 1200 1272 1300 1304 1325 1378 1560 1590 1630 1950 1956 2067 2119 2120 2445 2544 2600 2608 2650 2756 3120 3180 3260 3445 3900 3912 3975 4075 4134 4238 4240 4890 5200 5300 5512 6357 6360 6520 6890 7800 7824 7950 8150 8268 8476 8639 9780 10335 10595 10600 11024 12225 12714 12720 13040 13780 15600 15900 16300 16536 16952 17225 17278 19560 20670 21190 21200 24450 25428 25917 27560 31785 31800 32600 33072 33904 34450 34556 39120 41340 42380 43195 48900 50856 51675 51834 52975 55120 63570 63600 65200 68900 69112 82680 84760 86390 97800 101712 103350 103668 105950 112307 127140 129585 137800 138224 158925 165360 169520 172780 195600 206700 207336 211900 215975 224614 254280 259170 275600 317850 336921 345560 413400 414672 423800 431950 449228 508560 518340 561535 635700 647925 673842 691120 826800 847600 863900 898456 1036680 1123070 1271400 1295850 1347684 1684605 1727800 1796912 2073360 2246140 2542800 2591700 2695368 2807675 3369210 3455600 4492280 5183400 5390736 5615350 6738420 8423025 8984560 10366800 11230700 13476840 16846050 22461400 26953680 33692100 44922800 67384200 134768400
- Sum of all divisors σ(n): 476594496
- Sum of proper divisors (its aliquot sum) s(n): 341826096
- 134768400 is an abundant number, because the sum of its proper divisors (341826096) is greater than itself. Its abundance is 207057696
Bases of 134768400
- Binary: 10000000100001100111000100002
- Hexadecimal: 0x8086710
- Base-36: 288JYO
Squares and roots of 134768400
- 134768400 squared (1347684002) is 18162521638560000
- 134768400 cubed (1347684003) is 2447733981194109504000000
-
The
square root of 134768400 is 11608.9792832961 -
The
cube root of 134768400 is 512.6992602133
Scales and comparisons
How big is 134768400?- 134,768,400 seconds is equal to 4 years, 14 weeks, 5 days, 19 hours, 40 minutes.
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To count from 1 to 134,768,400 would take you about 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 134768400 cubic inches would be around 42.7 feet tall.
Recreational maths with 134768400
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