468438120204768

Names of 468438120204768

• Cardinal: 468438120204768 can be written as Four hundred sixty-eight trillion, four hundred thirty-eight billion, one hundred twenty million, two hundred four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.68438120204768 × 10¹⁴

Factors of 468438120204768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 17342

Divisors of 468438120204768

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 42 48 49 54 56 63 72 74 84 96 98 108 111 112 126 144 147 148 168 189 196 216 222 224 252 259 288 294 296 333 336 378 392 432 441 444 504 518 588 592 666 672 756 777 784 864 882 888 999 1008 1036 1176 1184 1323 1332 1512 1554 1568 1764 1776 1813 1998 2016 2072 2331 2352 2646 2664 3024 3108 3528 3552 3626 3996 4144 4662 4704 5292 5328 5439 6048 6216 6993 7056 7252 7992 8288 9324 10584 10656 10878 12432 13986 14112 14504 15984 16317 17293 18648 21168 21756 24864 27972 29008 31968 32634 34586 37296 42336 43512 48951 51879 55944 58016 65268 69172 74592 87024 97902 103758 111888 121051 130536 138344 155637 174048 195804 207516 223776 242102 261072 276688 311274 363153 391608 415032 466911 484204 522144 553376 622548 639841 726306 783216 830064 847357 933822 968408 1089459 1245096 1279682 1452612 1566432 1660128 1694714 1867644 1919523 1936816 2178918 2490192 2542071 2559364 2905224 3268377 3389428 3735288 3839046 3873632 4357836 4478887 4980384 5084142 5118728 5758569 5810448 6536754 6778856 7470576 7626213 7678092 8715672 8957774 10168284 10237456 11517138 11620896 13073508 13436661 13557712 14941152 15252426 15356184 17275707 17431344 17915548 20336568 20474912 22878639 23034276 26147016 26873322 27115424 30504852 30712368 31352209 34551414 34862688 35831096 40309983 40673136 45757278 46068552 52294032 53746644 61009704 61424736 62704418 69102828 71662192 80619966 81346272 91514556 92137104 94056627 104588064 107493288 120929949 122019408 125408836 138205656 143324384 161239932 183029112 184274208 188113254 214986576 241859898 244038816 250817672 276411312 282169881 299047849 322479864 366058224 376226508 429973152 483719796 501635344 552822624 564339762 598095698 644959728 732116448 752453016 846509643 897143547 967439592 1003270688 1128679524 1196191396 1289919456 1504906032 1693019286 1794287094 1934879184 2093334943 2257359048 2392382792 2691430641 3009812064 3386038572 3588574188 3869758368 4186669886 4514718096 4784765584 5382861282 6280004829 6772077144 7177148376 8074291923 8373339772 9029436192 9569531168 10765722564 11064770413 12560009658 13544154288 14354296752 14653344601 16148583846 16746679544 18840014487 21531445128 22129540826 25120019316 27088308576 28708593504 29306689202 32297167692 33194311239 33493359088 37680028974 43062890256 43960033803 44259081652 50240038632 56520043461 58613378404 64594335384 66388622478 66986718176 75360057948 77453392891 86125780512 87920067606 88518163304 99582933717 100480077264 113040086922 117226756808 129188670768 131880101409 132777244956 150720115896 154906785782 175840135212 177036326608 199165867434 200960154528 226080173844 232360178673 234453513616 258377341536 263760202818 265554489912 298748801151 301440231792 309813571564 351680270424 354072653216 395640304227 398331734868 452160347688 464720357346 468907027232 527520405636 531108979824 542173750237 597497602302 602880463584 619627143128 697080536019 703360540848 791280608454 796663469736 904320695376 929440714692 1055040811272 1062217959648 1084347500474 1194995204604 1239254286256 1394161072038 1406721081696 1582561216908 1593326939472 1626521250711 1808641390752 1858881429384 2091241608057 2110081622544 2168695000948 2389990409208 2478508572512 2788322144076 3165122433816 3186653878944 3253042501422 3717762858768 4182483216114 4220163245088 4337390001896 4779980818416 4879563752133 5576644288152 6330244867632 6506085002844 7435525717536 8364966432228 8674780003792 9559961636832 9759127504266 11153288576304 12660489735264 13012170005688 14638691256399 16729932864456 17349560007584 19518255008532 22306577152608 26024340011376 29277382512798 33459865728912 39036510017064 52048680022752 58554765025596 66919731457824 78073020034128 117109530051192 156146040068256 234219060102384 468438120204768
• Sum of all divisors σ(n): 1632393251339760
• Sum of proper divisors (its aliquot sum) s(n): 1163955131134992
• 468438120204768 is an abundant number, because the sum of its proper divisors (1163955131134992) is greater than itself. Its abundance is 695517010930224

Bases of 468438120204768

• Binary: 1101010100000101010111111110000010000100111100000₂
• Hexadecimal: 0x1AA0ABFC109E0
• Base-36: 4M1PI220O0

Squares and roots of 468438120204768

• 468438120204768 squared (468438120204768²) is 219434272460976673954249933824
• 468438120204768 cubed (468438120204768³) is 102791378100120803614271076582902821329272832
• The square root of 468438120204768 is 21643431.3408195051
• The cube root of 468438120204768 is 77663.5806836629

Scales and comparisons

• 468,438,120,204,768 seconds is equal to 14,894,883 years, 12 weeks, 6 days, 8 hours, 52 minutes, 48 seconds.
• To count from 1 to 468,438,120,204,768 would take you about thirty-seven million, two hundred thirty-seven thousand, two hundred eight 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 468438120204768 cubic inches would be around 6472 feet tall.

Recreational maths with 468438120204768

• 468438120204768 backwards is 867402021834864
• 468438120204768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 468438120204768's digits is 63
• More coming soon!