13628309760
13,628,309,760 is an even composite number composed of seven prime numbers multiplied together.
13628309760 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13628309760:
28 × 32 × 5 × 13 × 17 × 53 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 53 × 101)See below for interesting mathematical facts about the number 13628309760 from the Numbermatics database.
Names of 13628309760
- Cardinal: 13628309760 can be written as Thirteen billion, six hundred twenty-eight million, three hundred nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.362830976 × 1010
Factors of 13628309760
Divisors of 13628309760
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 53 60 64 65 68 72 78 80 85 90 96 101 102 104 106 117 120 128 130 136 144 153 156 159 160 170 180 192 195 202 204 208 212 221 234 240 255 256 260 265 272 288 303 306 312 318 320 340 360 384 390 404 408 416 424 442 468 477 480 505 510 520 530 544 576 585 606 612 624 636 640 663 680 689 720 765 768 780 795 808 816 832 848 884 901 909 936 954 960 1010 1020 1040 1060 1088 1105 1152 1170 1212 1224 1248 1272 1280 1313 1326 1360 1378 1440 1515 1530 1560 1590 1616 1632 1664 1696 1717 1768 1802 1818 1872 1908 1920 1989 2020 2040 2067 2080 2120 2176 2210 2304 2340 2385 2424 2448 2496 2544 2626 2652 2703 2720 2756 2880 3030 3060 3120 3180 3232 3264 3315 3328 3392 3434 3445 3536 3604 3636 3744 3816 3840 3939 3978 4040 4080 4134 4160 4240 4352 4420 4505 4545 4680 4770 4848 4896 4992 5088 5151 5252 5304 5353 5406 5440 5512 5760 6060 6120 6201 6240 6360 6464 6528 6565 6630 6784 6868 6890 7072 7208 7272 7488 7632 7878 7956 8080 8109 8160 8268 8320 8480 8585 8840 9010 9090 9360 9540 9696 9792 9945 9984 10176 10302 10335 10504 10608 10706 10812 10880 11024 11520 11713 11817 12120 12240 12402 12480 12720 12928 13056 13130 13260 13515 13568 13736 13780 14144 14416 14544 14976 15264 15453 15756 15912 16059 16160 16218 16320 16536 16640 16960 17170 17680 18020 18180 18720 19080 19392 19584 19695 19890 20352 20604 20670 21008 21216 21412 21624 21760 22048 22321 23426 23634 24240 24480 24804 24960 25440 25755 25856 26260 26520 26765 27030 27472 27560 28288 28832 29088 29952 30528 30906 31005 31512 31824 32118 32320 32436 32640 33072 33920 34340 35139 35360 36040 36360 37440 38160 38784 39168 39390 39780 40545 40704 41208 41340 42016 42432 42824 43248 44096 44642 46852 47268 48177 48480 48960 49608 49920 50880 51510 52520 53040 53530 54060 54944 55120 56576 57664 58176 58565 59085 61056 61812 62010 63024 63648 64236 64640 64872 65280 66144 66963 67840 68680 69589 70278 70720 72080 72720 74880 76320 77265 77568 78780 79560 80295 81090 82416 82680 84032 84864 85648 86496 88192 89284 91001 93704 94536 96354 96960 97920 99216 101760 103020 105040 105417 106080 107060 108120 109888 110240 111605 115328 116352 117130 118170 122112 123624 124020 126048 127296 128472 129280 129744 132288 133926 137360 139178 140556 141440 144160 145440 149760 152640 154530 157560 159120 160590 162180 164832 165360 168064 169728 171296 172992 175695 176384 178568 182002 187408 189072 192708 193920 195840 198432 200889 203520 206040 208767 210080 210834 212160 214120 216240 219776 220480 223210 230656 232704 234260 236340 240885 247248 248040 252096 254592 256944 259488 264576 267852 273003 274720 278356 281112 282880 288320 290880 305280 309060 315120 318240 321180 324360 329664 330720 334815 336128 342592 345984 347945 351390 357136 364004 374816 378144 385416 387840 396864 401778 412080 417534 420160 421668 424320 428240 432480 439552 440960 446420 455005 468520 472680 481770 494496 496080 504192 509184 513888 518976 527085 529152 535704 546006 549440 556712 562224 576640 581760 610560 618120 626301 630240 636480 642360 648720 659328 661440 669630 685184 691968 695890 702780 714272 728008 749632 756288 770832 793728 803556 819009 824160 835068 840320 843336 848640 856480 864960 881920 892840 910010 937040 945360 963540 988992 992160 1004445 1008384 1027776 1037952 1043835 1054170 1071408 1092012 1098880 1113424 1124448 1153280 1163520 1183013 1236240 1252602 1260480 1272960 1284720 1297440 1318656 1322880 1339260 1365015 1370368 1391780 1405560 1428544 1456016 1499264 1512576 1541664 1587456 1607112 1638018 1648320 1670136 1680640 1686672 1712960 1729920 1785680 1820020 1874080 1890720 1927080 1977984 1984320 2008890 2055552 2075904 2087670 2108340 2142816 2184024 2197760 2226848 2248896 2366026 2472480 2505204 2520960 2545920 2569440 2594880 2645760 2678520 2730030 2783560 2811120 2857088 2912032 2998528 3025152 3083328 3131505 3214224 3276036 3296640 3340272 3373344 3425920 3459840 3549039 3571360 3640040 3748160 3781440 3854160 3955968 3968640 4017780 4095045 4111104 4175340 4216680 4285632 4368048 4453696 4497792 4732052 4944960 5010408 5041920 5138880 5189760 5357040 5460060 5567120 5622240 5714176 5824064 5915065 6166656 6263010 6428448 6552072 6593280 6680544 6746688 6851840 7098078 7142720 7280080 7496320 7562880 7708320 7937280 8035560 8190090 8350680 8433360 8571264 8736096 8907392 8995584 9464104 9889920 10020816 10277760 10379520 10647117 10714080 10920120 11134240 11244480 11648128 11830130 12333312 12526020 12856896 13104144 13361088 13493376 14196156 14285440 14560160 14992640 15125760 15416640 16071120 16380180 16701360 16866720 17142528 17472192 17745195 17814784 18928208 19779840 20041632 20555520 21294234 21428160 21840240 22268480 22488960 23296256 23660260 25052040 25713792 26208288 26722176 26986752 28392312 28570880 29120320 30833280 32142240 32760360 33402720 33733440 34944384 35490390 37856416 40083264 42588468 42856320 43680480 44536960 44977920 47320520 50104080 51427584 52416576 53235585 53444352 56784624 58240640 61666560 64284480 65520720 66805440 67466880 69888768 70980780 75712832 80166528 85176936 85712640 87360960 89073920 94641040 100208160 104833152 106471170 113569248 116481280 128568960 131041440 133610880 134933760 141961560 151425664 160333056 170353872 174721920 189282080 200416320 209666304 212942340 227138496 257137920 262082880 267221760 283923120 302851328 340707744 349443840 378564160 400832640 425884680 454276992 524165760 567846240 681415488 757128320 801665280 851769360 908553984 1048331520 1135692480 1362830976 1514256640 1703538720 2271384960 2725661952 3407077440 4542769920 6814154880 13628309760
- Sum of all divisors σ(n): 55323541728
- Sum of proper divisors (its aliquot sum) s(n): 41695231968
- 13628309760 is an abundant number, because the sum of its proper divisors (41695231968) is greater than itself. Its abundance is 28066922208
Bases of 13628309760
- Binary: 11001011000100111110000001000000002
- Hexadecimal: 0x32C4F8100
- Base-36: 69DXZ40
Squares and roots of 13628309760
- 13628309760 squared (136283097602) is 185730826914511257600
- 13628309760 cubed (136283097603) is 2531197241171904457579954176000
-
The
square root of 13628309760 is 116740.3518925655 -
The
cube root of 13628309760 is 2388.6214723829
Scales and comparisons
How big is 13628309760?- 13,628,309,760 seconds is equal to 433 years, 17 weeks, 4 days, 1 hour, 36 minutes.
-
To count from 1 to 13,628,309,760 would take you about eight hundred sixty-six 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 13628309760 cubic inches would be around 199.1 feet tall.
Recreational maths with 13628309760
- 13628309760 backwards is 06790382631
- 13628309760 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13628309760's digits is 45
- More coming soon!
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