968434401168

Names of 968434401168

• Cardinal: 968434401168 can be written as Nine hundred sixty-eight billion, four hundred thirty-four million, four hundred one thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 9.68434401168 × 10¹¹

Factors of 968434401168

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 666

Divisors of 968434401168

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 41 48 52 54 72 78 82 104 108 117 123 144 156 164 169 208 216 234 246 312 328 338 351 369 432 468 492 507 533 607 624 656 676 702 738 936 984 1014 1066 1107 1214 1352 1404 1476 1521 1599 1681 1821 1872 1968 2028 2132 2197 2214 2428 2704 2808 2952 3042 3198 3362 3642 4056 4264 4394 4428 4563 4797 4856 5043 5463 5616 5904 6084 6396 6591 6724 6929 7284 7891 8112 8528 8788 8856 9126 9594 9712 10086 10926 12168 12792 13182 13448 13858 14391 14568 15129 15782 16389 17576 17712 18252 19188 19773 20172 20787 21852 21853 23673 24336 24887 25584 26364 26896 27716 28782 29136 30258 31564 32778 35152 36504 38376 39546 40344 41574 43704 43706 45387 47346 49774 52728 55432 57564 59319 60516 62361 63128 65556 65559 71019 73008 74661 76752 79092 80688 83148 87408 87412 90077 90774 94692 99548 102583 105456 110864 115128 118638 121032 124722 126256 131112 131118 142038 149322 158184 166296 174824 180154 181548 187083 189384 196677 199096 205166 213057 223983 230256 237276 242064 249444 262224 262236 270231 284076 284089 298644 307749 316368 323531 332592 349648 360308 363096 374166 378768 393354 398192 410332 426114 447966 474552 498888 524472 540462 568152 568178 590031 597288 615498 647062 671949 720616 726192 748332 786708 810693 820664 852228 852267 895932 923247 949104 970593 997776 1020367 1048944 1080924 1136304 1136356 1180062 1194576 1230996 1294124 1333579 1343898 1441232 1496664 1573416 1621386 1641328 1704456 1704534 1791864 1846494 1941186 2040734 2161848 2272712 2360124 2432079 2461992 2556801 2588248 2667158 2687796 2769741 2911779 2993328 3061101 3146832 3242772 3408912 3409068 3583728 3692988 3693157 3882372 4000737 4081468 4205903 4323696 4545424 4720248 4864158 4923984 5113602 5176496 5334316 5375592 5539482 5823558 6122202 6485544 6818136 7385976 7386314 7670403 7764744 8001474 8162936 8411806 8735337 9183303 9440496 9728316 10227204 10668632 10751184 11078964 11079471 11647116 12002211 12244404 12617709 12971088 13264771 13636272 14771952 14772628 15340806 15529488 16002948 16325872 16823612 17470674 18366606 19456632 20454408 21337264 22157928 22158942 23294232 24004422 24488808 25235418 26529542 27549909 29545256 30681612 32005896 33238413 33647224 34941348 36006633 36733212 37853127 38913264 39794313 40908816 44315856 44317884 46588464 48008844 48977616 50470836 53059084 54676739 55099818 59090512 61363224 64011792 66476826 67294448 69882696 72013266 73466424 75706254 79588626 88635768 96017688 99715239 100941672 106118168 109353478 110199636 113559381 119382939 122726448 132953652 139765392 144026532 146932848 151412508 159177252 164030217 172442023 177271536 192035376 199430478 201883344 212236336 218706956 220399272 227118762 238765878 265907304 288053064 302825016 318354504 328060434 344884046 358148817 398860956 437413912 440798544 454237524 477531756 492090651 517326069 531814608 576106128 605650032 636709008 656120868 689768092 716297634 797721912 874827824 908475048 955063512 984181302 1034652138 1312241736 1379536184 1432595268 1476271953 1551978207 1595443824 1816950096 1910127024 1968362604 2069304276 2241746299 2624483472 2759072368 2865190536 2952543906 3103956414 3936725208 4138608552 4483492598 4655934621 5730381072 5905087812 6207912828 6725238897 7873450416 8277217104 8966985196 9311869242 11810175624 12415825656 13450477794 17933970392 18623738484 20175716691 23620351248 24831651312 26900955588 35867940784 37247476968 40351433382 53801911176 60527150073 74494953936 80702866764 107603822352 121054300146 161405733528 242108600292 322811467056 484217200584 968434401168
• Sum of all divisors σ(n): 3091629900800
• Sum of proper divisors (its aliquot sum) s(n): 2123195499632
• 968434401168 is an abundant number, because the sum of its proper divisors (2123195499632) is greater than itself. Its abundance is 1154761098464

Bases of 968434401168

• Binary: 1110000101111011001100000011111110010000₂
• Hexadecimal: 0xE17B303F90
• Base-36: CCW4U6C0

Squares and roots of 968434401168

• 968434401168 squared (968434401168²) is 937865189365622759764224
• 968434401168 cubed (968434401168³) is 908260913039609799157657794310213632
• The square root of 968434401168 is 984090.6468247729
• The cube root of 968434401168 is 9893.6544077381

Scales and comparisons

• 968,434,401,168 seconds is equal to 30,793 years, 11 weeks, 2 days, 11 hours, 52 minutes, 48 seconds.
• To count from 1 to 968,434,401,168 would take you about sixty-one thousand, five hundred eighty-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 968434401168 cubic inches would be around 824.5 feet tall.

Recreational maths with 968434401168

• 968434401168 backwards is 861104434869
• 968434401168 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 968434401168's digits is 54
• More coming soon!