468993200177920

Names of 468993200177920

• Cardinal: 468993200177920 can be written as Four hundred sixty-eight trillion, nine hundred ninety-three billion, two hundred million, one hundred seventy-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.6899320017792 × 10¹⁴

Factors of 468993200177920

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 68537

Divisors of 468993200177920

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 256 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1280 1408 1595 1760 1856 2320 2552 2816 3190 3520 3712 4640 5104 6380 7040 7424 9280 10208 12760 14080 18560 20416 25520 29333 37120 39157 40832 51040 58666 78314 81664 102080 117332 146665 156628 195785 204160 234664 293330 313256 322663 391570 408320 430727 469328 586660 626512 645326 783140 850657 861454 938656 1135553 1173320 1253024 1290652 1566280 1613315 1701314 1722908 1877312 2153635 2271106 2346640 2506048 2581304 3132560 3226630 3402628 3445816 3754624 4253285 4307270 4542212 4693280 5012096 5162608 5677765 6265120 6453260 6805256 6891632 7509248 8506570 8614540 9084424 9357227 9386560 10024192 10325216 11355530 12491083 12530240 12906520 13610512 13783264 17013140 17229080 18168848 18714454 18773120 20650432 22711060 24982166 25060480 25813040 27221024 27566528 34026280 34458160 36337696 37428908 37546240 41300864 45422120 46786135 49964332 50120960 51626080 54442048 55133056 62455415 68052560 68916320 72675392 74857816 82601728 90844240 93572270 99928664 103252160 108884096 110266112 124910830 136105120 137832640 145350784 149715632 181688480 187144540 199857328 206504320 217768192 249821660 272210240 275665280 290701568 299431264 363376960 374289080 399714656 413008640 499643320 544420480 551330560 598862528 726753920 748578160 799429312 999286640 1088840960 1148592281 1197725056 1453507840 1497156320 1598858624 1998573280 2297184562 2395450112 2994312640 3197717248 3997146560 4594369124 5742961405 5988625280 7994293120 9188738248 11485922810 11977250560 12634515091 15988586240 18377476496 22971845620 25269030182 33309176149 36754952992 45943691240 50538060364 63172575455 66618352298 73509905984 91887382480 101076120728 126345150910 133236704596 147019811968 166545880745 183774764960 202152241456 252690301820 266473409192 294039623936 333091761490 366400937639 367549529920 404304482912 505380603640 532946818384 666183522980 732801875278 735099059840 808608965824 1010761207280 1065893636768 1332367045960 1465603750556 1470198119680 1617217931648 1832004688195 2021522414560 2131787273536 2664734091920 2931207501112 3234435863296 3664009376390 4043044829120 4263574547072 5329468183840 5862415002224 7328018752780 8086089658240 8527149094144 10658936367680 11724830004448 14656037505560 16172179316480 21317872735360 23449660008896 29312075011120 42635745470720 46899320017792 58624150022240 93798640035584 117248300044480 234496600088960 468993200177920
• Sum of all divisors σ(n): 1267845813702720
• Sum of proper divisors (its aliquot sum) s(n): 798852613524800
• 468993200177920 is an abundant number, because the sum of its proper divisors (798852613524800) is greater than itself. Its abundance is 329859413346880

Bases of 468993200177920

• Binary: 1101010101000101111111101000110010100001100000000₂
• Hexadecimal: 0x1AA8BFD194300
• Base-36: 4M8SI2C934

Squares and roots of 468993200177920

• 468993200177920 squared (468993200177920²) is 219954621813126540319655526400
• 468993200177920 cubed (468993200177920³) is 103157221978062344462435742277693591257088000
• The square root of 468993200177920 is 21656250.8338336345
• The cube root of 468993200177920 is 77694.2446283479

Scales and comparisons

• 468,993,200,177,920 seconds is equal to 14,912,533 years, 3 weeks, 6 days, 2 hours, 18 minutes, 40 seconds.
• To count from 1 to 468,993,200,177,920 would take you about thirty-seven million, two hundred eighty-one thousand, three hundred thirty-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 468993200177920 cubic inches would be around 6474.5 feet tall.

Recreational maths with 468993200177920

• 468993200177920 backwards is 029771002399864
• The number of decimal digits it has is: 15
• The sum of 468993200177920's digits is 67
• More coming soon!