428306848404032

Names of 428306848404032

• Cardinal: 428306848404032 can be written as Four hundred twenty-eight trillion, three hundred six billion, eight hundred forty-eight million, four hundred four thousand and thirty-two.

Scientific notation

• Scientific notation: 4.28306848404032 × 10¹⁴

Factors of 428306848404032

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 368

Divisors of 428306848404032

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 71 103 104 142 169 179 206 208 284 338 358 412 416 568 676 716 824 832 923 1136 1339 1352 1432 1648 1846 2197 2272 2327 2678 2704 2864 3296 3692 4394 4544 4654 5356 5408 5728 6592 7313 7384 8788 9308 10712 10816 11456 11999 12709 14626 14768 17407 17576 18437 18616 21424 23998 25418 28561 29252 29536 30251 32041 34814 35152 36874 37232 42848 47996 50836 57122 58504 59072 60502 64082 69628 70304 73748 74464 85696 95069 95992 101672 114244 117008 121004 128164 139256 140608 147496 148928 155987 165217 190138 191984 203344 226291 228488 234016 239681 242008 256328 278512 294992 311974 330434 380276 383968 393263 406688 416533 452582 456976 468032 479362 484016 512656 557024 589984 623948 660868 760552 767936 786526 813376 833066 905164 913952 958724 968032 1025312 1114048 1179968 1235897 1247896 1309027 1321736 1521104 1573052 1666132 1810328 1827904 1917448 1936064 2027831 2050624 2147821 2274911 2471794 2495792 2618054 2643472 2941783 3042208 3115853 3146104 3300223 3332264 3620656 3834896 4055662 4295642 4549822 4943588 4991584 5112419 5236108 5286944 5414929 5883566 6084416 6231706 6292208 6600446 6664528 7241312 7669792 8111324 8591284 9099644 9887176 9983168 10224838 10472216 10573888 10829858 11767132 12463412 12584416 13200892 13329056 14482624 15339584 16066661 16222648 17017351 17182568 18199288 19774352 20449676 20944432 21659716 23534264 24926824 25168832 26401784 26658112 27921673 29573843 32133322 32445296 34034702 34365136 36398576 39548704 40506089 40899352 41888864 42902899 43319432 47068528 49853648 52803568 55843346 59147686 64266644 64890592 68069404 68730272 70394077 72797152 79097408 81012178 81798704 83777728 85805798 86638864 94137056 99707296 105607136 111686692 118295372 128533288 129781184 136138808 137460544 140788154 145594304 162024356 163597408 171611596 173277728 188274112 199414592 208866593 211214272 221225563 223373384 234315833 236590744 257066576 272277616 281576308 324048712 327194816 343223192 346555456 362981749 384459959 417733186 442451126 446746768 468631666 473181488 514133152 526579157 544555232 557737687 563152616 648097424 686446384 725963498 768919918 835466372 884902252 893493536 915123001 937263332 946362976 1028266304 1053158314 1089110464 1115475374 1126305232 1296194848 1372892768 1451926996 1537839836 1670932744 1769804504 1786987072 1830246002 1874526664 1892725952 2106316628 2230950748 2252610464 2592389696 2745785536 2875932319 2903853992 3046105829 3075679672 3341865488 3539609008 3660492004 3749053328 4212633256 4461901496 4505220928 4997979467 5751864638 5807707984 6092211658 6151359344 6683730976 7079218016 7250589931 7320984008 7498106656 8425266512 8923802992 9995958934 11503729276 11615415968 12184423316 12302718688 13367461952 14158436032 14501179862 14641968016 14996213312 16850533024 17847605984 19991917868 23007458552 23230831936 24368846632 24605437376 29002359724 29283936032 33701066048 35695211968 37387120147 39599375777 39983835736 46014917104 48737693264 58004719448 58567872064 64973733071 74774240294 79198751554 79967671472 92029834208 94257669103 97475386528 116009438896 129947466142 149548480588 158397503108 159935342944 184059668416 188515338206 194950773056 232018877792 259894932284 299096961176 316795006216 319870685888 377030676412 464037755584 514791885101 519789864568 598193922352 633590012432 754061352824 1029583770202 1039579729136 1196387844704 1267180024864 1508122705648 2059167540404 2079159458272 2392775689408 2534360049728 3016245411296 4118335080808 4158318916544 6032490822592 6692294506313 8236670161616 13384589012626 16473340323232 26769178025252 32946680646464 53538356050504 107076712101008 214153424202016 428306848404032
• Sum of all divisors σ(n): 948075486111936
• Sum of proper divisors (its aliquot sum) s(n): 519768637707904
• 428306848404032 is an abundant number, because the sum of its proper divisors (519768637707904) is greater than itself. Its abundance is 91461789303872

Bases of 428306848404032

• Binary: 1100001011000101011110101100011011101001001000000₂
• Hexadecimal: 0x1858AF58DD240
• Base-36: 47TLG6ZG3K

Squares and roots of 428306848404032

• 428306848404032 squared (428306848404032²) is 183446756389794448985513857024
• 428306848404032 cubed (428306848404032³) is 78571502079255079690563668574787235033120768
• The square root of 428306848404032 is 20695575.5755676435
• The cube root of 428306848404032 is 75379.2258437093

Scales and comparisons

• 428,306,848,404,032 seconds is equal to 13,618,832 years, 48 weeks, 5 days, 20 hours, 40 minutes, 32 seconds.
• To count from 1 to 428,306,848,404,032 would take you about thirty-four million, forty-seven thousand and eighty-two 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 428306848404032 cubic inches would be around 6281.6 feet tall.

Recreational maths with 428306848404032

• 428306848404032 backwards is 230404848603824
• The number of decimal digits it has is: 15
• The sum of 428306848404032's digits is 56
• More coming soon!