12823734168224

Names of 12823734168224

• Cardinal: 12823734168224 can be written as Twelve trillion, eight hundred twenty-three billion, seven hundred thirty-four million, one hundred sixty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.2823734168224 × 10¹³

Factors of 12823734168224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 560

Divisors of 12823734168224

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 16 23 28 32 37 46 49 56 74 92 98 112 148 161 184 196 224 259 296 322 368 392 491 518 529 592 644 736 784 851 982 1036 1058 1127 1184 1288 1369 1568 1702 1813 1964 2072 2116 2254 2576 2738 3404 3437 3626 3703 3928 4144 4232 4508 5152 5476 5957 6808 6874 7252 7406 7856 8288 8464 9016 9583 10952 11293 11914 12167 13616 13748 14504 14812 15712 16928 18032 18167 19166 19573 21904 22586 23828 24059 24334 25921 27232 27496 29008 29624 31487 36064 36334 38332 39146 41699 43808 45172 47656 48118 48668 51842 54992 58016 59248 62974 67081 72668 76664 78292 79051 83398 85169 90344 95312 96236 97336 103684 109984 118496 125948 127169 134162 137011 145336 153328 156584 158102 166796 170338 180688 190624 192472 194672 207368 220409 251896 254338 259739 268324 274022 290672 306656 313168 316204 333592 340676 361376 384944 389344 414736 417841 440818 450179 503792 508676 519478 536648 548044 553357 581344 596183 626336 632408 667184 672179 681352 724201 769888 829472 835682 881636 890183 900358 959077 1007584 1017352 1038956 1073296 1096088 1106714 1192366 1264816 1334368 1344358 1362704 1448402 1542863 1671364 1763272 1780366 1800716 1818173 1918154 2034704 2077912 2146592 2192176 2213428 2384732 2529632 2688716 2725408 2896804 2924887 3085726 3151253 3342728 3526544 3560732 3601432 3636346 3836308 4069408 4155824 4384352 4426856 4705253 4769464 5069407 5377432 5793608 5849774 5973997 6171452 6302506 6685456 7053088 7121464 7202864 7272692 7672616 8311648 8853712 9410506 9538928 9610343 10138814 10754864 11587216 11699548 11947994 12342904 12605012 12727211 13370912 14242928 14405728 14545384 15345232 15460117 16656623 17707424 18821012 19077856 19220686 20277628 20474209 21509728 22058771 23174432 23399096 23895988 24685808 25210024 25454422 28485856 29090768 30690464 30920234 32936771 33313246 35485849 37642024 38441372 40555256 40948418 41817979 44117542 46798192 47791976 49371616 50420048 50908844 58181536 61840468 65873542 66626492 67272401 70971698 75284048 76882744 81110512 81896836 83635958 88235084 93596384 95583952 100840096 101817688 108220819 116596361 123680936 131747084 133252984 134544802 141943396 150568096 153765488 162221024 163793672 167271916 176470168 191167904 203635376 216441638 221037889 233192722 247361872 263494168 266505968 269089604 283886792 292725853 307530976 327587344 334543832 352940336 355582691 407270752 432883276 442075778 466385444 470906807 494723744 526988336 533011936 538179208 567773584 585451706 655174688 669087664 705880672 711165382 757545733 816174527 865766552 884151556 932770888 941813614 1053976672 1076358416 1135547168 1170903412 1338175328 1422330764 1515091466 1547265223 1632349054 1731533104 1768303112 1865541776 1883627228 2152716832 2341806824 2489078837 2844661528 3030182932 3094530446 3264698108 3463066208 3536606224 3731083552 3767254456 4683613648 4978157674 5689323056 6060365864 6189060892 6529396216 7073212448 7534508912 8178401893 9367227296 9956315348 10830856561 11378646112 12120731728 12378121784 13058792432 15069017824 16356803786 17423551859 19912630696 21661713122 24241463456 24756243568 26117584864 32713607572 34847103718 39825261392 43323426244 49512487136 57248813251 65427215144 69694207436 79650522784 86646852488 114497626502 130854430288 139388414872 173293704976 228995253004 261708860576 278776829744 346587409952 400741692757 457990506008 557553659488 801483385514 915981012016 1602966771028 1831962024032 3205933542056 6411867084112 12823734168224
• Sum of all divisors σ(n): 31619989154880
• Sum of proper divisors (its aliquot sum) s(n): 18796254986656
• 12823734168224 is an abundant number, because the sum of its proper divisors (18796254986656) is greater than itself. Its abundance is 5972520818432

Bases of 12823734168224

• Binary: 10111010100111000010000111101010101010100000₂
• Hexadecimal: 0xBA9C21EAAA0
• Base-36: 4JN5483A8

Squares and roots of 12823734168224

• 12823734168224 squared (12823734168224²) is 164448158017275685131314176
• 12823734168224 cubed (12823734168224³) is 2108839462867637725089912918983379943424
• The square root of 12823734168224 is 3581024.1786706775
• The cube root of 12823734168224 is 23406.5911304935

Scales and comparisons

• 12,823,734,168,224 seconds is equal to 407,755 years, 4 weeks, 1 day, 4 hours, 3 minutes, 44 seconds.
• To count from 1 to 12,823,734,168,224 would take you about one million, nineteen thousand, three hundred eighty-seven 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 12823734168224 cubic inches would be around 1950.5 feet tall.

Recreational maths with 12823734168224

• 12823734168224 backwards is 42286143732821
• The number of decimal digits it has is: 14
• The sum of 12823734168224's digits is 53
• More coming soon!