12993018386400
12,993,018,386,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12993018386400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
12993018386400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 12993018386400:
25 × 34 × 52 × 132 × 17 × 101 × 691
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 17 × 101 × 691)See below for interesting mathematical facts about the number 12993018386400 from the Numbermatics database.
Names of 12993018386400
- Cardinal: 12993018386400 can be written as Twelve trillion, nine hundred ninety-three billion, eighteen million, three hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.29930183864 × 1013
Factors of 12993018386400
Divisors of 12993018386400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 65 68 72 75 78 80 81 85 90 96 100 101 102 104 108 117 120 130 135 136 144 150 153 156 160 162 169 170 180 195 200 202 204 208 216 221 225 234 240 255 260 270 272 288 300 303 306 312 324 325 338 340 351 360 390 400 404 405 408 416 425 432 442 450 459 468 480 505 507 510 520 540 544 585 600 606 612 624 648 650 663 675 676 680 691 702 720 765 780 800 808 810 816 845 850 864 884 900 909 918 936 975 1010 1014 1020 1040 1053 1080 1105 1170 1200 1212 1224 1248 1275 1296 1300 1313 1326 1350 1352 1360 1377 1382 1404 1440 1515 1521 1530 1560 1616 1620 1632 1690 1700 1717 1755 1768 1800 1818 1836 1872 1950 1989 2020 2025 2028 2040 2073 2080 2106 2160 2210 2295 2340 2400 2424 2448 2525 2535 2550 2592 2600 2626 2652 2700 2704 2720 2727 2754 2764 2808 2873 2925 3030 3042 3060 3120 3232 3240 3315 3380 3400 3434 3455 3510 3536 3600 3636 3672 3744 3825 3900 3939 3978 4040 4050 4056 4080 4146 4212 4225 4320 4420 4545 4563 4590 4680 4848 4896 5050 5070 5100 5151 5200 5252 5265 5304 5400 5408 5454 5508 5525 5528 5616 5746 5850 5967 6060 6084 6120 6219 6240 6480 6565 6630 6760 6800 6868 6885 6910 7020 7072 7200 7272 7344 7575 7605 7650 7800 7878 7956 8080 8100 8112 8160 8181 8292 8424 8450 8585 8619 8775 8840 8983 9090 9126 9180 9360 9696 9945 10100 10140 10200 10302 10365 10400 10504 10530 10608 10800 10908 11016 11050 11056 11232 11475 11492 11700 11747 11817 11934 12120 12168 12240 12438 12675 12960 13130 13260 13520 13600 13635 13689 13736 13770 13820 14040 14365 14544 14688 15150 15210 15300 15453 15600 15756 15912 16160 16200 16224 16362 16575 16584 16848 16900 17069 17170 17238 17275 17550 17680 17901 17966 18180 18252 18360 18657 18720 19695 19890 20200 20280 20400 20604 20730 21008 21060 21216 21600 21816 22032 22100 22112 22321 22725 22815 22950 22984 23400 23494 23634 23868 24240 24336 24480 24876 25350 25755 25857 26260 26325 26520 26949 27040 27270 27378 27472 27540 27640 28080 28730 29088 29835 30300 30420 30600 30906 31095 31200 31512 31824 32400 32724 32825 33150 33168 33696 33800 34138 34340 34425 34476 34550 35100 35241 35360 35451 35802 35932 36360 36504 36720 37314 38025 39390 39780 40400 40560 40800 40905 41208 41460 42016 42120 42925 43095 43632 44064 44200 44642 44915 45450 45630 45900 45968 46359 46800 46988 47268 47736 48480 48672 49725 49752 50700 51207 51510 51714 51825 52520 52650 53040 53898 54540 54756 54944 55080 55280 55971 56160 57460 58735 59085 59670 60600 60840 61200 61812 62190 63024 63648 64800 65448 65650 66300 66336 66963 67600 68175 68276 68445 68680 68850 68952 69100 69791 70200 70482 70902 71604 71825 71864 72720 73008 73440 74628 76050 77265 77571 78780 79560 80800 80847 81120 81810 82416 82920 84240 85345 85850 86190 87264 88400 89284 89505 89830 90900 91260 91800 91936 92718 93285 93600 93976 94536 95472 98475 99450 99504 101400 102414 103020 103428 103650 105040 105300 105723 106080 106353 107796 109080 109512 110160 110560 111605 111942 114075 114920 116779 117470 118170 119340 121200 121680 122400 123624 124380 126048 128775 129285 130896 131300 132600 133926 134745 135200 136350 136552 136890 137360 137700 137904 138200 139077 139582 140400 140964 141804 143208 143650 143728 145440 146016 149175 149256 152100 152711 153621 154530 155142 155475 157560 159120 161694 163620 164832 165840 168480 170690 171700 172380 176205 176800 177255 178568 179010 179660 181800 182520 183600 185436 186570 187952 189072 190944 196950 198900 199008 200889 202800 204525 204828 206040 206856 207300 209373 210080 210600 211446 212706 215475 215592 218160 219024 220320 223210 223884 224575 228150 229840 231795 232713 233558 234940 236340 238680 242400 242541 243360 247248 248760 256035 257550 258570 261792 262600 265200 267852 269490 272700 273104 273780 274720 275400 275808 276400 278154 279164 279855 280800 281928 283608 286416 287300 287456 290173 293675 295425 298350 298512 304200 305422 307242 309060 310284 310950 315120 317169 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19989259056 20050954300 20822144850 21230422200 21440624400 21655030644 22210287840 23884224975 24061145160 24986573820 25476506640 25627255200 25728749280 27068788305 27762859800 28307229600 28873374192 29395969200 30076431450 30571807968 31233217275 31845633300 32081526880 32160936600 32482545966 33315431760 36091717740 37017146400 38214759960 38440882800 39978518112 40101908600 41644289700 42460844400 42881248800 43310061288 45114647175 47768449950 48122290320 49973147640 50953013280 54137576610 55525719600 57746748384 58791938400 60152862900 62466434550 63691266600 64321873200 64965091932 66630863520 72183435480 76429519920 76881765600 80203817200 81206364915 83288579400 84921688800 86620122576 90229294350 95536899900 96244580640 99946295280 108275153220 111051439200 120305725800 124932869100 127382533200 128643746400 129930183864 135343941525 144366870960 152859039840 160407634400 162412729830 166577158800 173240245152 180458588700 191073799800 199892590560 216550306440 240611451600 249865738200 254765066400 259860367728 270687883050 288733741920 324825459660 333154317600 360917177400 382147599600 406031824575 433100612880 481222903200 499731476400 519720735456 541375766100 649650919320 721834354800 764295199200 812063649150 866201225760 999462952800 1082751532200 1299301838640 1443668709600 1624127298300 2165503064400 2598603677280 3248254596600 4331006128800 6496509193200 12993018386400
- Sum of all divisors σ(n): 54943645912848
- Sum of proper divisors (its aliquot sum) s(n): 41950627526448
- 12993018386400 is an abundant number, because the sum of its proper divisors (41950627526448) is greater than itself. Its abundance is 28957609140048
Bases of 12993018386400
- Binary: 101111010001001011000011111011010111111000002
- Hexadecimal: 0xBD12C3ED7E0
- Base-36: 4LSWROE00
Squares and roots of 12993018386400
- 12993018386400 squared (129930183864002) is 168818526789328459704960000
- 12993018386400 cubed (129930183864003) is 2193462222538705636255336799276544000000
-
The
square root of 12993018386400 is 3604582.9698316003 -
The
cube root of 12993018386400 is 23509.1368644247
Scales and comparisons
How big is 12993018386400?- 12,993,018,386,400 seconds is equal to 413,137 years, 41 weeks, 2 days, 6 hours.
-
To count from 1 to 12,993,018,386,400 would take you about one million, thirty-two thousand, eight hundred forty-four 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 12993018386400 cubic inches would be around 1959.1 feet tall.
Recreational maths with 12993018386400
- 12993018386400 backwards is 00468381039921
- 12993018386400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12993018386400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 12993018386400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 12993018386400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/12993018386400/
Chicago style:
Numbermatics. 2024. "Number 12993018386400 - Facts about the integer". https://numbermatics.com/n/12993018386400/
The information we have on file for 12993018386400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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