1138468800
1,138,468,800 is an even composite number composed of six prime numbers multiplied together.
1138468800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 1138468800:
26 × 3 × 52 × 7 × 31 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 31 × 1093)See below for interesting mathematical facts about the number 1138468800 from the Numbermatics database.
Names of 1138468800
- Cardinal: 1138468800 can be written as One billion, one hundred thirty-eight million, four hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.1384688 × 109
Factors of 1138468800
Divisors of 1138468800
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 80 84 93 96 100 105 112 120 124 140 150 155 160 168 175 186 192 200 210 217 224 240 248 280 300 310 320 336 350 372 400 420 434 448 465 480 496 525 560 600 620 651 672 700 744 775 800 840 868 930 960 992 1050 1085 1093 1120 1200 1240 1302 1344 1400 1488 1550 1600 1680 1736 1860 1984 2100 2170 2186 2240 2325 2400 2480 2604 2800 2976 3100 3255 3279 3360 3472 3720 4200 4340 4372 4650 4800 4960 5208 5425 5465 5600 5952 6200 6510 6558 6720 6944 7440 7651 8400 8680 8744 9300 9920 10416 10850 10930 11200 12400 13020 13116 13888 14880 15302 16275 16395 16800 17360 17488 18600 20832 21700 21860 22953 24800 26040 26232 27325 29760 30604 32550 32790 33600 33883 34720 34976 37200 38255 41664 43400 43720 45906 49600 52080 52464 54650 61208 65100 65580 67766 69440 69952 74400 76510 81975 86800 87440 91812 101649 104160 104928 109300 114765 122416 130200 131160 135532 148800 153020 163950 169415 173600 174880 183624 191275 203298 208320 209856 218600 229530 237181 244832 260400 262320 271064 306040 327900 338830 347200 349760 367248 382550 406596 437200 459060 474362 489664 508245 520800 524640 542128 573825 612080 655800 677660 711543 734496 765100 813192 847075 874400 918120 948724 1016490 1041600 1049280 1084256 1147650 1185905 1224160 1311600 1355320 1423086 1468992 1530200 1626384 1694150 1748800 1836240 1897448 2032980 2168512 2295300 2371810 2448320 2541225 2623200 2710640 2846172 3060400 3252768 3388300 3557715 3672480 3794896 4065960 4590600 4743620 5082450 5246400 5421280 5692344 5929525 6120800 6505536 6776600 7115430 7344960 7589792 8131920 9181200 9487240 10164900 10842560 11384688 11859050 12241600 13553200 14230860 15179584 16263840 17788575 18362400 18974480 20329800 22769376 23718100 27106400 28461720 32527680 35577150 36724800 37948960 40659600 45538752 47436200 54212800 56923440 71154300 75897920 81319200 94872400 113846880 142308600 162638400 189744800 227693760 284617200 379489600 569234400 1138468800
- Sum of all divisors σ(n): 4410447872
- Sum of proper divisors (its aliquot sum) s(n): 3271979072
- 1138468800 is an abundant number, because the sum of its proper divisors (3271979072) is greater than itself. Its abundance is 2133510272
Bases of 1138468800
- Binary: 10000111101101110100111110000002
- Hexadecimal: 0x43DBA7C0
- Base-36: ITTC5C
Squares and roots of 1138468800
- 1138468800 squared (11384688002) is 1296111208573440000
- 1138468800 cubed (11384688003) is 1475582172291153948672000000
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The
square root of 1138468800 is 33741.2032980449 -
The
cube root of 1138468800 is 1044.1760100185
Scales and comparisons
How big is 1138468800?- 1,138,468,800 seconds is equal to 36 years, 10 weeks, 2 days, 17 hours, 20 minutes.
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To count from 1 to 1,138,468,800 would take you about seventy-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 1138468800 cubic inches would be around 87 feet tall.
Recreational maths with 1138468800
- 1138468800 backwards is 0088648311
- The number of decimal digits it has is: 10
- The sum of 1138468800's digits is 39
- More coming soon!
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