13825974240

Names of 13825974240

• Cardinal: 13825974240 can be written as Thirteen billion, eight hundred twenty-five million, nine hundred seventy-four thousand, two hundred forty.

Scientific notation

• Scientific notation: 1.382597424 × 10¹⁰

Factors of 13825974240

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 759

Divisors of 13825974240

• Number of divisors d(n): 480
• 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 65 72 78 80 81 90 96 104 108 117 120 130 135 137 144 156 160 162 180 195 208 216 234 240 260 270 274 288 312 324 351 360 390 405 411 416 432 468 480 520 540 548 585 599 624 648 685 702 720 780 810 822 864 936 1040 1053 1080 1096 1170 1198 1233 1248 1296 1370 1404 1440 1560 1620 1644 1755 1781 1797 1872 2055 2080 2106 2160 2192 2340 2396 2466 2592 2740 2808 2995 3120 3240 3288 3510 3562 3594 3699 3744 4110 4212 4320 4384 4680 4792 4932 5265 5343 5391 5480 5616 5990 6165 6240 6480 6576 7020 7124 7188 7398 7787 8220 8424 8905 8985 9360 9584 9864 10530 10686 10782 10960 11097 11232 11980 12330 12960 13152 14040 14248 14376 14796 15574 16029 16173 16440 16848 17810 17970 18495 18720 19168 19728 21060 21372 21564 21920 22194 23361 23960 24660 26715 26955 28080 28496 28752 29592 31148 32058 32346 32880 33696 35620 35940 36990 38935 39456 42120 42744 43128 44388 46722 47920 48087 48519 49320 53430 53910 55485 56160 56992 57504 59184 62296 64116 64692 65760 70083 71240 71880 73980 77870 80145 80865 82063 84240 85488 86256 88776 93444 95840 96174 97038 98640 106860 107820 110970 116805 118368 124592 128232 129384 140166 142480 143760 144261 147960 155740 160290 161730 164126 168480 170976 172512 177552 186888 192348 194076 197280 210249 213720 215640 221940 233610 240435 242595 246189 249184 256464 258768 280332 284960 287520 288522 295920 311480 320580 323460 328252 350415 355104 373776 384696 388152 410315 420498 427440 431280 443880 467220 480870 485190 492378 512928 517536 560664 577044 591840 622960 630747 641160 646920 656504 700830 721305 738567 747552 769392 776304 820630 840996 854880 862560 887760 934440 961740 970380 984756 1051245 1066819 1121328 1154088 1230945 1245920 1261494 1282320 1293840 1313008 1401660 1442610 1477134 1538784 1552608 1641260 1681992 1775520 1868880 1923480 1940760 1969512 2102490 2133638 2215701 2242656 2308176 2461890 2522988 2564640 2587680 2626016 2803320 2885220 2954268 3153735 3200457 3282520 3363984 3692835 3737760 3846960 3881520 3939024 4204980 4267276 4431402 4616352 4923780 5045976 5334095 5606640 5770440 5908536 6307470 6400914 6565040 6647103 6727968 7385670 7693920 7763040 7878048 8409960 8534552 8862804 9601371 9847560 10091952 10668190 11078505 11213280 11540880 11817072 12614940 12801828 13130080 13294206 14771340 16002285 16819920 17069104 17725608 19202742 19695120 20183904 21336380 22157010 23081760 23634144 25229880 25603656 26588412 28804113 29542680 32004570 33235515 33639840 34138208 35451216 38405484 39390240 42672760 44314020 48006855 50459760 51207312 53176824 57608226 59085360 64009140 66471030 70902432 76810968 85345520 86412339 88628040 96013710 100919520 102414624 106353648 115216452 118170720 128018280 132942060 144020565 153621936 170691040 172824678 177256080 192027420 212707296 230432904 256036560 265884120 288041130 307243872 345649356 354512160 384054840 432061695 460865808 512073120 531768240 576082260 691298712 768109680 864123390 921731616 1063536480 1152164520 1382597424 1536219360 1728246780 2304329040 2765194848 3456493560 4608658080 6912987120 13825974240
• Sum of all divisors σ(n): 53019489600
• Sum of proper divisors (its aliquot sum) s(n): 39193515360
• 13825974240 is an abundant number, because the sum of its proper divisors (39193515360) is greater than itself. Its abundance is 25367541120

Bases of 13825974240

• Binary: 1100111000000101111001111111100000₂
• Hexadecimal: 0x338179FE0
• Base-36: 6CNMM00

Squares and roots of 13825974240

• 13825974240 squared (13825974240²) is 191157563685143577600
• 13825974240 cubed (13825974240³) is 2642939551291954574599041024000
• The square root of 13825974240 is 117583.9029799573
• The cube root of 13825974240 is 2400.1142445617

Scales and comparisons

• 13,825,974,240 seconds is equal to 439 years, 32 weeks, 2 days, 20 hours, 24 minutes.
• To count from 1 to 13,825,974,240 would take you about eight hundred seventy-nine 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 13825974240 cubic inches would be around 200 feet tall.

Recreational maths with 13825974240

• 13825974240 backwards is 04247952831
• 13825974240 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13825974240's digits is 45
• More coming soon!