12137467680
12,137,467,680 is an even composite number composed of six prime numbers multiplied together.
12137467680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12137467680:
25 × 34 × 5 × 13 × 61 × 1181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 61 × 1181)See below for interesting mathematical facts about the number 12137467680 from the Numbermatics database.
Names of 12137467680
- Cardinal: 12137467680 can be written as Twelve billion, one hundred thirty-seven million, four hundred sixty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.213746768 × 1010
Factors of 12137467680
Divisors of 12137467680
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 61 65 72 78 80 81 90 96 104 108 117 120 122 130 135 144 156 160 162 180 183 195 208 216 234 240 244 260 270 288 305 312 324 351 360 366 390 405 416 432 468 480 488 520 540 549 585 610 624 648 702 720 732 780 793 810 864 915 936 976 1040 1053 1080 1098 1170 1181 1220 1248 1296 1404 1440 1464 1560 1586 1620 1647 1755 1830 1872 1952 2080 2106 2160 2196 2340 2362 2379 2440 2592 2745 2808 2928 3120 3172 3240 3294 3510 3543 3660 3744 3965 4212 4320 4392 4680 4724 4758 4880 4941 5265 5490 5616 5856 5905 6240 6344 6480 6588 7020 7086 7137 7320 7930 8235 8424 8784 9360 9448 9516 9760 9882 10530 10629 10980 11232 11810 11895 12688 12960 13176 14040 14172 14274 14640 15353 15860 16470 16848 17568 17715 18720 18896 19032 19764 21060 21258 21411 21960 23620 23790 24705 25376 26352 28080 28344 28548 29280 30706 31720 31887 32940 33696 35430 35685 37792 38064 39528 42120 42516 42822 43920 46059 47240 47580 49410 52704 53145 56160 56688 57096 61412 63440 63774 64233 65880 70860 71370 72041 76128 76765 79056 84240 85032 85644 87840 92118 94480 95160 95661 98820 106290 107055 113376 114192 122824 126880 127548 128466 131760 138177 141720 142740 144082 153530 158112 159435 168480 170064 171288 184236 188960 190320 191322 197640 212580 214110 216123 228384 230295 245648 255096 256932 263520 276354 283440 285480 288164 307060 318870 321165 340128 342576 360205 368472 380640 382644 395280 414531 425160 428220 432246 460590 478305 491296 510192 513864 552708 566880 570960 576328 614120 637740 642330 648369 685152 690885 720410 736944 765288 790560 829062 850320 856440 864492 921180 936533 956610 1020384 1027728 1080615 1105416 1141920 1152656 1228240 1243593 1275480 1284660 1296738 1381770 1440820 1473888 1530576 1658124 1700640 1712880 1728984 1842360 1873066 1913220 1945107 2055456 2072655 2161230 2210832 2305312 2456480 2487186 2550960 2569320 2593476 2763540 2809599 2881640 3061152 3241845 3316248 3425760 3457968 3684720 3746132 3826440 3890214 4145310 4322460 4421664 4682665 4974372 5101920 5138640 5186952 5527080 5619198 5763280 5835321 6217965 6483690 6632496 6915936 7369440 7492264 7652880 7780428 8290620 8428797 8644920 9365330 9725535 9948744 10277280 10373904 11054160 11238396 11526560 11670642 12435930 12967380 13264992 14047995 14984528 15305760 15560856 16581240 16857594 17289840 18730660 19451070 19897488 20747808 22108320 22476792 23341284 24871860 25286391 25934760 28095990 29176605 29969056 31121712 33162480 33715188 34579680 37461320 38902140 39794976 42143985 44953584 46682568 49743720 50572782 51869520 56191980 58353210 62243424 66324960 67430376 74922640 75859173 77804280 84287970 89907168 93365136 99487440 101145564 103739040 112383960 116706420 126431955 134860752 149845280 151718346 155608560 168575940 186730272 198974880 202291128 224767920 233412840 252863910 269721504 303436692 311217120 337151880 379295865 404582256 449535840 466825680 505727820 606873384 674303760 758591730 809164512 933651360 1011455640 1213746768 1348607520 1517183460 2022911280 2427493536 3034366920 4045822560 6068733840 12137467680
- Sum of all divisors σ(n): 46926090288
- Sum of proper divisors (its aliquot sum) s(n): 34788622608
- 12137467680 is an abundant number, because the sum of its proper divisors (34788622608) is greater than itself. Its abundance is 22651154928
Bases of 12137467680
- Binary: 10110100110111001100001111001000002
- Hexadecimal: 0x2D3730F20
- Base-36: 5KQC200
Squares and roots of 12137467680
- 12137467680 squared (121374676802) is 147318121683044582400
- 12137467680 cubed (121374676803) is 1788068940606260822879096832000
-
The
square root of 12137467680 is 110170.1760005855 -
The
cube root of 12137467680 is 2298.1376026241
Scales and comparisons
How big is 12137467680?- 12,137,467,680 seconds is equal to 385 years, 48 weeks, 3 days, 22 hours, 48 minutes.
-
To count from 1 to 12,137,467,680 would take you about seven hundred seventy-one 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 12137467680 cubic inches would be around 191.5 feet tall.
Recreational maths with 12137467680
- 12137467680 backwards is 08676473121
- 12137467680 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12137467680's digits is 45
- More coming soon!
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