38468153066484960

Names of 38468153066484960

• Cardinal: 38468153066484960 can be written as Thirty-eight quadrillion, four hundred sixty-eight trillion, one hundred fifty-three billion, sixty-six million, four hundred eighty-four thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.846815306648496 × 10¹⁶

Factors of 38468153066484960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 293560386679

Divisors of 38468153066484960

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 182 195 208 210 224 234 240 252 260 273 280 288 312 315 336 360 364 390 416 420 455 468 480 504 520 546 560 585 624 630 672 720 728 780 819 840 910 936 1008 1040 1092 1120 1170 1248 1260 1365 1440 1456 1560 1638 1680 1820 1872 2016 2080 2184 2340 2520 2730 2912 3120 3276 3360 3640 3744 4095 4368 4680 5040 5460 6240 6552 7280 8190 8736 9360 10080 10920 13104 14560 16380 18720 21840 26208 32760 43680 65520 131040 293560386649 587120773298 880681159947 1174241546596 1467801933245 1761362319894 2054922706543 2348483093192 2642043479841 2935603866490 3522724639788 3816285026437 4109845413086 4403405799735 4696966186384 5284086959682 5871207732980 6164768119629 7045449279576 7632570052874 8219690826172 8806811599470 9393932372768 10274613532715 10568173919364 11448855079311 11742415465960 12329536239258 13210217399205 14090898559152 15265140105748 16439381652344 17613623198940 18494304358887 19081425132185 20549227065430 21136347838728 22897710158622 23484830931920 24659072478516 26420434798410 26713995185059 28181797118304 30530280211496 30823840598145 32878763304688 34346565237933 35227246397880 36988608717774 38162850264370 41098454130860 42272695677456 45795420317244 46969661863840 49318144957032 52840869596820 53427990370118 57244275396555 61060560422992 61647681196290 65757526609376 68693130475866 70454492795760 73977217435548 76325700528740 80141985555177 82196908261720 84545391354912 91590840634488 92471521794435 98636289914064 105681739193640 106855980740236 114488550793110 122121120845984 123295362392580 133569975925295 137386260951732 140908985591520 147954434871096 152651401057480 160283971110354 164393816523440 171732826189665 183181681268976 184943043588870 197272579828128 211363478387280 213711961480472 228977101586220 240425956665531 246590724785160 267139951850590 274772521903464 295908869742192 305302802114960 320567942220708 328787633046880 343465652379330 366363362537952 369886087177740 400709927775885 422726956774560 427423922960944 457954203172440 480851913331062 493181449570320 534279903701180 549545043806928 591817739484384 610605604229920 641135884441416 686931304758660 739772174355480 801419855551770 854847845921888 915908406344880 961703826662124 986362899140640 1068559807402360 1099090087613856 1202129783327655 1282271768882832 1373862609517320 1479544348710960 1602839711103540 1831816812689760 1923407653324248 2137119614804720 2404259566655310 2564543537765664 2747725219034640 2959088697421920 3205679422207080 3846815306648496 4274239229609440 4808519133310620 5495450438069280 6411358844414160 7693630613296992 9617038266621240 12822717688828320 19234076533242480 38468153066484960
• Sum of all divisors σ(n): 161566242879787200
• Sum of proper divisors (its aliquot sum) s(n): 123098089813302240
• 38468153066484960 is an abundant number, because the sum of its proper divisors (123098089813302240) is greater than itself. Its abundance is 84629936746817280

Bases of 38468153066484960

• Binary: 10001000101010101001010011010110101100010111010011100000₂
• Hexadecimal: 0x88AA94D6B174E0
• Base-36: AIRTLJXI7S0

Squares and roots of 38468153066484960

• 38468153066484960 squared (38468153066484960²) is 1479798800346516231378009906201600
• 38468153066484960 cubed (38468153066484960³) is 56925126759330603454718803689796531138217127936000
• The square root of 38468153066484960 is 196132998.4130282959
• The cube root of 38468153066484960 is 337572.5402490775

Scales and comparisons

• 38,468,153,066,484,960 seconds is equal to 1,223,168,277 years, 36 weeks, 4 days, 7 hours, 36 minutes.
• To count from 1 to 38,468,153,066,484,960 would take you about three billion, six hundred sixty-nine million, five hundred four thousand, eight hundred thirty-three 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 38468153066484960 cubic inches would be around 28131 feet tall.

Recreational maths with 38468153066484960

• 38468153066484960 backwards is 06948466035186483
• The number of decimal digits it has is: 17
• The sum of 38468153066484960's digits is 81
• More coming soon!