230988414082420736

Names of 230988414082420736

• Cardinal: 230988414082420736 can be written as Two hundred thirty quadrillion, nine hundred eighty-eight trillion, four hundred fourteen billion, eighty-two million, four hundred twenty thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 2.30988414082420736 × 10¹⁷

Factors of 230988414082420736

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 4142

Divisors of 230988414082420736

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 743 868 896 961 992 1024 1486 1736 1792 1922 1984 2048 2972 3359 3472 3584 3844 3968 4096 5201 5944 6718 6727 6944 7168 7688 7936 10402 11888 13436 13454 13888 14336 15376 15872 20804 23033 23513 23776 26872 26908 27776 28672 30752 31744 41608 46066 47026 47552 53744 53816 55552 61504 63488 83216 92132 94052 95104 104129 107488 107632 111104 123008 126976 161231 166432 184264 188104 190208 208258 214976 215264 222208 246016 322462 332864 368528 376208 380416 416516 429952 430528 444416 492032 644924 665728 714023 728903 737056 752416 760832 833032 859904 861056 888832 984064 1289848 1331456 1428046 1457806 1474112 1504832 1521664 1666064 1719808 1722112 1968128 2495737 2579696 2662912 2856092 2915612 2948224 3009664 3043328 3227999 3332128 3439616 3444224 3936256 4991474 4998161 5159392 5325824 5712184 5831224 5896448 6019328 6455998 6664256 6879232 6888448 9982948 9996322 10318784 10651648 11282881 11424368 11662448 11792896 12038656 12911996 13328512 13758464 13776896 17470159 19965896 19992644 20637568 21303296 22565762 22595993 22848736 23324896 23585792 24077312 25823992 26657024 27553792 34940318 39931792 39985288 41275136 45131524 45191986 45697472 46649792 47171584 48154624 51647984 53314048 69880636 77367847 78980167 79863584 79970576 82550272 90263048 90383972 91394944 93299584 94343168 96309248 103295968 106628096 139761272 154735694 157960334 159727168 159941152 165100544 180526096 180767944 182789888 186599168 206591936 213256192 279522544 309471388 315920668 319454336 319882304 330201088 349769311 361052192 361535888 365579776 373198336 413183872 426512384 541574929 559045088 618942776 631841336 638908672 639764608 660402176 699538622 722104384 723071776 731159552 746396672 826367744 1083149858 1118090176 1237885552 1263682672 1277817344 1279529216 1399077244 1444208768 1446143552 1462319104 1492793344 1652735488 2166299716 2236180352 2398403257 2448385177 2475771104 2527365344 2555634688 2559058432 2798154488 2888417536 2892287104 2924638208 2985586688 3305470976 4332599432 4472360704 4796806514 4896770354 4951542208 5054730688 5111269376 5118116864 5596308976 5776835072 5784574208 6610941952 8383180583 8665198864 8944721408 9593613028 9793540708 9903084416 10109461376 10222538752 10236233728 10842848641 11192617952 11553670144 11569148416 13221883904 16766361166 16788822799 17330397728 17889442816 19187226056 19587081416 19806168832 20218922752 20472467456 21685697282 22385235904 23107340288 23138296832 33532722332 33577645598 34660795456 35778885632 38374452112 39174162832 39612337664 40437845504 43371394564 44770471808 46214680576 46276593664 58682264081 67065444664 67155291196 69321590912 71557771264 75899940487 76748904224 78348325664 79224675328 80875691008 86742789128 89540943616 92553187328 117364528162 134130889328 134310582392 138643181824 151799880974 153497808448 156696651328 158449350656 161751382016 173485578256 179081887232 234729056324 259878598073 268261778656 268621164784 277286363648 303599761948 306995616896 313393302656 316898701312 323502764032 346971156512 358163774464 469458112648 519757196146 536523557312 537242329568 554572727296 607199523896 613991233792 626786605312 693942313024 716327548928 938916225296 1039514392292 1073047114624 1074484659136 1109145454592 1214399047792 1227982467584 1253573210624 1387884626048 1432655097856 1819150186511 1877832450592 2079028784584 2146094229248 2148969318272 2218290909184 2428798095584 2455964935168 2507146421248 2775769252096 3638300373022 3755664901184 4158057569168 4292188458496 4297938636544 4857596191168 4911929870336 5014292842496 5551538504192 7276600746044 7511329802368 8056236540263 8316115138336 8584376916992 8595877273088 9715192382336 9823859740672 10028585684992 11103077008384 14553201492088 15022659604736 16112473080526 16632230276672 17168753833984 17191754546176 19430384764672 22206154016768 29106402984176 30045319209472 32224946161052 33264460553344 34337507667968 34383509092352 38860769529344 44412308033536 56393655781841 58212805968352 60090638418944 64449892322104 66528921106688 68767018184704 77721539058688 112787311563682 116425611936704 120181276837888 128899784644208 133057842213376 155443078117376 225574623127364 232851223873408 240362553675776 257799569288416 266115684426752 310886156234752 451149246254728 465702447746816 515599138576832 532231368853504 902298492509456 931404895493632 1031198277153664 1064462737707008 1804596985018912 1862809790987264 2062396554307328 3609193970037824 3725619581974528 4124793108614656 7218387940075648 7451239163949056 8249586217229312 14436775880151296 16499172434458624 28873551760302592 32998344868917248 57747103520605184 115494207041210368 230988414082420736
• Sum of all divisors σ(n): 546384557904820416
• Sum of proper divisors (its aliquot sum) s(n): 315396143822399680
• 230988414082420736 is an abundant number, because the sum of its proper divisors (315396143822399680) is greater than itself. Its abundance is 84407729739978944

Bases of 230988414082420736

• Binary: 1100110100101000101011110100100000100111010001000000000000₂
• Hexadecimal: 0x334A2BD209D1000
• Base-36: 1R6EK4I0K268

Squares and roots of 230988414082420736

• 230988414082420736 squared (230988414082420736²) is 53355647440311866185498585722781696
• 230988414082420736 cubed (230988414082420736³) is 12324536384578409367355568195890693589500903351648256
• The square root of 230988414082420736 is 480612540.4964176921
• The cube root of 230988414082420736 is 613568.9856726867

Scales and comparisons

• 230,988,414,082,420,736 seconds is equal to 7,344,717,073 years, 38 weeks, 4 days, 19 hours, 58 minutes, 56 seconds.
• To count from 1 to 230,988,414,082,420,736 would take you about twenty-two billion, thirty-four million, one hundred fifty-one thousand, two hundred twenty-one 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 230988414082420736 cubic inches would be around 51130.7 feet tall.

Recreational maths with 230988414082420736

• 230988414082420736 backwards is 637024280414889032
• The number of decimal digits it has is: 18
• The sum of 230988414082420736's digits is 71
• More coming soon!