13435728768

Names of 13435728768

• Cardinal: 13435728768 can be written as Thirteen billion, four hundred thirty-five million, seven hundred twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3435728768 × 10¹⁰

Factors of 13435728768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1793

Divisors of 13435728768

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 32 33 36 42 44 48 54 56 58 63 64 66 72 77 84 87 88 96 99 108 112 116 126 128 132 144 154 168 174 176 189 192 198 203 216 224 231 232 252 261 264 288 297 308 319 336 348 352 378 384 396 406 432 448 462 464 504 522 528 576 594 609 616 638 672 693 696 704 756 783 792 812 864 896 924 928 957 1008 1044 1056 1152 1188 1218 1232 1276 1344 1386 1392 1408 1512 1566 1584 1624 1728 1741 1827 1848 1856 1914 2016 2079 2088 2112 2233 2376 2436 2464 2552 2688 2772 2784 2871 3024 3132 3168 3248 3456 3482 3654 3696 3712 3828 4032 4158 4176 4224 4466 4752 4872 4928 5104 5223 5481 5544 5568 5742 6048 6264 6336 6496 6699 6964 7308 7392 7656 8064 8316 8352 8613 8932 9504 9744 9856 10208 10446 10962 11088 11136 11484 12096 12187 12528 12672 12992 13398 13928 14616 14784 15312 15669 16632 16704 17226 17864 19008 19151 19488 20097 20416 20892 21924 22176 22968 24192 24374 25056 25984 26796 27856 29232 29568 30624 31338 33264 33408 34452 35728 36561 38016 38302 38976 40194 40832 41784 43848 44352 45936 47007 48748 50112 50489 53592 55712 57453 58464 60291 61248 62676 66528 68904 71456 73122 76604 77952 80388 83568 87696 88704 91872 94014 97496 100224 100978 107184 109683 111424 114906 116928 120582 122496 125352 133056 134057 137808 142912 146244 151467 153208 160776 167136 172359 175392 183744 188028 194992 201956 214368 219366 222848 229812 233856 241164 250704 266112 268114 275616 285824 292488 302934 306416 321552 329049 334272 344718 350784 353423 367488 376056 389984 402171 403912 428736 438732 454401 459624 482328 501408 517077 536228 551232 555379 584976 605868 612832 643104 658098 668544 689436 701568 706846 752112 779968 804342 807824 857472 877464 908802 919248 964656 1002816 1034154 1060269 1072456 1102464 1110758 1169952 1206513 1211736 1225664 1286208 1316196 1363203 1378872 1413692 1504224 1559936 1608684 1615648 1666137 1754928 1817604 1838496 1929312 2005632 2068308 2120538 2144912 2221516 2339904 2413026 2423472 2451328 2572416 2632392 2726406 2757744 2827384 3008448 3180807 3217368 3231296 3332274 3509856 3619539 3635208 3676992 3858624 3887653 4136616 4241076 4289824 4443032 4679808 4826052 4846944 4998411 5264784 5452812 5515488 5654768 6016896 6361614 6434736 6462592 6664548 7019712 7239078 7270416 7353984 7717248 7775306 8273232 8482152 8579648 8886064 9542421 9652104 9693888 9996822 10529568 10905624 11030976 11309536 11662959 12723228 12869472 13329096 14039424 14478156 14540832 14995233 15550612 16546464 16964304 17159296 17772128 19084842 19304208 19387776 19993644 21059136 21811248 22061952 22619072 23325918 25446456 25738944 26658192 28956312 29081664 29990466 31101224 33092928 33928608 34988877 35544256 38169684 38608416 39987288 42118272 43622496 45238144 46651836 50892912 51477888 53316384 57912624 58163328 59980932 62202448 66185856 67857216 69977754 71088512 76339368 77216832 79974576 87244992 93303672 101785824 104966631 106632768 115825248 119961864 124404896 135714432 139955508 152678736 154433664 159949152 174489984 186607344 203571648 209933262 213265536 231650496 239923728 248809792 279911016 305357472 319898304 373214688 407143296 419866524 463300992 479847456 497619584 559822032 610714944 639796608 746429376 839733048 959694912 1119644064 1221429888 1492858752 1679466096 1919389824 2239288128 3358932192 4478576256 6717864384 13435728768
• Sum of all divisors σ(n): 51172992000
• Sum of proper divisors (its aliquot sum) s(n): 37737263232
• 13435728768 is an abundant number, because the sum of its proper divisors (37737263232) is greater than itself. Its abundance is 24301534464

Bases of 13435728768

• Binary: 1100100000110101001111001110000000₂
• Hexadecimal: 0x320D4F380
• Base-36: 667AAO0

Squares and roots of 13435728768

• 13435728768 squared (13435728768²) is 180518807527262797824
• 13435728768 cubed (13435728768³) is 2425401735459099717020084600832
• The square root of 13435728768 is 115912.5910675799
• The cube root of 13435728768 is 2377.3168906335

Scales and comparisons

• 13,435,728,768 seconds is equal to 427 years, 11 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 13,435,728,768 would take you about eight hundred fifty-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 13435728768 cubic inches would be around 198.1 feet tall.

Recreational maths with 13435728768

• 13435728768 backwards is 86782753431
• 13435728768 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 13435728768's digits is 54
• More coming soon!