1138974720
1,138,974,720 is an even composite number composed of six prime numbers multiplied together.
1138974720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 1138974720:
213 × 3 × 5 × 13 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 23 × 31)See below for interesting mathematical facts about the number 1138974720 from the Numbermatics database.
Names of 1138974720
- Cardinal: 1138974720 can be written as One billion, one hundred thirty-eight million, nine hundred seventy-four thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.13897472 × 109
Factors of 1138974720
Divisors of 1138974720
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 31 32 39 40 46 48 52 60 62 64 65 69 78 80 92 93 96 104 115 120 124 128 130 138 155 156 160 184 186 192 195 208 230 240 248 256 260 276 299 310 312 320 345 368 372 384 390 403 416 460 465 480 496 512 520 552 598 620 624 640 690 713 736 744 768 780 806 832 897 920 930 960 992 1024 1040 1104 1196 1209 1240 1248 1280 1380 1426 1472 1488 1495 1536 1560 1612 1664 1794 1840 1860 1920 1984 2015 2048 2080 2139 2208 2392 2418 2480 2496 2560 2760 2852 2944 2976 2990 3072 3120 3224 3328 3565 3588 3680 3720 3840 3968 4030 4096 4160 4278 4416 4485 4784 4836 4960 4992 5120 5520 5704 5888 5952 5980 6045 6144 6240 6448 6656 7130 7176 7360 7440 7680 7936 8060 8192 8320 8556 8832 8970 9269 9568 9672 9920 9984 10240 10695 11040 11408 11776 11904 11960 12090 12288 12480 12896 13312 14260 14352 14720 14880 15360 15872 16120 16640 17112 17664 17940 18538 19136 19344 19840 19968 20480 21390 22080 22816 23552 23808 23920 24180 24576 24960 25792 26624 27807 28520 28704 29440 29760 30720 31744 32240 33280 34224 35328 35880 37076 38272 38688 39680 39936 40960 42780 44160 45632 46345 47104 47616 47840 48360 49920 51584 53248 55614 57040 57408 58880 59520 61440 63488 64480 66560 68448 70656 71760 74152 76544 77376 79360 79872 85560 88320 91264 92690 94208 95232 95680 96720 99840 103168 106496 111228 114080 114816 117760 119040 122880 126976 128960 133120 136896 139035 141312 143520 148304 153088 154752 158720 159744 171120 176640 182528 185380 188416 190464 191360 193440 199680 206336 222456 228160 229632 235520 238080 253952 257920 266240 273792 278070 282624 287040 296608 306176 309504 317440 319488 342240 353280 365056 370760 380928 382720 386880 399360 412672 444912 456320 459264 471040 476160 515840 532480 547584 556140 565248 574080 593216 612352 619008 634880 684480 706560 730112 741520 761856 765440 773760 798720 825344 889824 912640 918528 942080 952320 1031680 1095168 1112280 1148160 1186432 1224704 1238016 1269760 1368960 1413120 1460224 1483040 1530880 1547520 1597440 1650688 1779648 1825280 1837056 1904640 2063360 2190336 2224560 2296320 2372864 2449408 2476032 2737920 2826240 2920448 2966080 3061760 3095040 3301376 3559296 3650560 3674112 3809280 4126720 4380672 4449120 4592640 4745728 4952064 5475840 5840896 5932160 6123520 6190080 7118592 7301120 7348224 8253440 8761344 8898240 9185280 9491456 9904128 10951680 11864320 12247040 12380160 14237184 14602240 16506880 17522688 17796480 18370560 18982912 21903360 23728640 24760320 28474368 29204480 35592960 36741120 37965824 43806720 47457280 49520640 56948736 71185920 75931648 87613440 94914560 113897472 142371840 189829120 227794944 284743680 379658240 569487360 1138974720
- Sum of all divisors σ(n): 4227600384
- Sum of proper divisors (its aliquot sum) s(n): 3088625664
- 1138974720 is an abundant number, because the sum of its proper divisors (3088625664) is greater than itself. Its abundance is 1949650944
Bases of 1138974720
- Binary: 10000111110001101100000000000002
- Hexadecimal: 0x43E36000
- Base-36: IU46IO
Squares and roots of 1138974720
- 1138974720 squared (11389747202) is 1297263412799078400
- 1138974720 cubed (11389747203) is 1477550232359074736898048000
-
The
square root of 1138974720 is 33748.6995305005 -
The
cube root of 1138974720 is 1044.3306596363
Scales and comparisons
How big is 1138974720?- 1,138,974,720 seconds is equal to 36 years, 11 weeks, 1 day, 13 hours, 52 minutes.
-
To count from 1 to 1,138,974,720 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 1138974720 cubic inches would be around 87 feet tall.
Recreational maths with 1138974720
- 1138974720 backwards is 0274798311
- The number of decimal digits it has is: 10
- The sum of 1138974720's digits is 42
- More coming soon!
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