1138400640
1,138,400,640 is an even composite number composed of six prime numbers multiplied together.
1138400640 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 1138400640:
27 × 32 × 5 × 13 × 23 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 23 × 661)See below for interesting mathematical facts about the number 1138400640 from the Numbermatics database.
Names of 1138400640
- Cardinal: 1138400640 can be written as One billion, one hundred thirty-eight million, four hundred thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.13840064 × 109
Factors of 1138400640
Divisors of 1138400640
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 39 40 45 46 48 52 60 64 65 69 72 78 80 90 92 96 104 115 117 120 128 130 138 144 156 160 180 184 192 195 207 208 230 234 240 260 276 288 299 312 320 345 360 368 384 390 414 416 460 468 480 520 552 576 585 598 624 640 661 690 720 736 780 828 832 897 920 936 960 1035 1040 1104 1152 1170 1196 1248 1322 1380 1440 1472 1495 1560 1656 1664 1794 1840 1872 1920 1983 2070 2080 2208 2340 2392 2496 2644 2691 2760 2880 2944 2990 3120 3305 3312 3588 3680 3744 3966 4140 4160 4416 4485 4680 4784 4992 5288 5382 5520 5760 5949 5980 6240 6610 6624 7176 7360 7488 7932 8280 8320 8593 8832 8970 9360 9568 9915 10576 10764 11040 11898 11960 12480 13220 13248 13455 14352 14720 14976 15203 15864 16560 17186 17940 18720 19136 19830 21152 21528 22080 23796 23920 24960 25779 26440 26496 26910 28704 29745 30406 31728 33120 34372 35880 37440 38272 39660 42304 42965 43056 44160 45609 47592 47840 51558 52880 53820 57408 59490 60812 63456 66240 68744 71760 74880 76015 77337 79320 84608 85930 86112 91218 95184 95680 103116 105760 107640 114816 118980 121624 126912 128895 132480 136827 137488 143520 152030 154674 158640 171860 172224 182436 190368 191360 197639 206232 211520 215280 228045 237960 243248 253824 257790 273654 274976 287040 304060 309348 317280 343720 344448 364872 380736 386685 395278 412464 423040 430560 456090 475920 486496 515580 547308 549952 574080 592917 608120 618696 634560 684135 687440 729744 761472 773370 790556 824928 861120 912180 951840 972992 988195 1031160 1094616 1099904 1185834 1216240 1237392 1269120 1368270 1374880 1459488 1546740 1581112 1649856 1722240 1778751 1824360 1903680 1945984 1976390 2062320 2189232 2371668 2432480 2474784 2736540 2749760 2918976 2964585 3093480 3162224 3299712 3557502 3648720 3807360 3952780 4124640 4378464 4743336 4864960 4949568 5473080 5499520 5837952 5929170 6186960 6324448 7115004 7297440 7905560 8249280 8756928 8893755 9486672 9729920 9899136 10946160 11858340 12373920 12648896 14230008 14594880 15811120 16498560 17513856 17787510 18973344 21892320 23716680 24747840 25297792 28460016 29189760 31622240 35575020 37946688 43784640 47433360 49495680 56920032 63244480 71150040 75893376 87569280 94866720 113840064 126488960 142300080 189733440 227680128 284600160 379466880 569200320 1138400640
- Sum of all divisors σ(n): 4424172480
- Sum of proper divisors (its aliquot sum) s(n): 3285771840
- 1138400640 is an abundant number, because the sum of its proper divisors (3285771840) is greater than itself. Its abundance is 2147371200
Bases of 1138400640
- Binary: 10000111101101010011101100000002
- Hexadecimal: 0x43DA9D80
- Base-36: ITRVK0
Squares and roots of 1138400640
- 1138400640 squared (11384006402) is 1295956017152409600
- 1138400640 cubed (11384006403) is 1475317159338154066182144000
-
The
square root of 1138400640 is 33740.1932418887 -
The
cube root of 1138400640 is 1044.1551713689
Scales and comparisons
How big is 1138400640?- 1,138,400,640 seconds is equal to 36 years, 10 weeks, 1 day, 22 hours, 24 minutes.
-
To count from 1 to 1,138,400,640 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 1138400640 cubic inches would be around 87 feet tall.
Recreational maths with 1138400640
- 1138400640 backwards is 0460048311
- The number of decimal digits it has is: 10
- The sum of 1138400640's digits is 27
- More coming soon!
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