38446876871536896

Names of 38446876871536896

• Cardinal: 38446876871536896 can be written as Thirty-eight quadrillion, four hundred forty-six trillion, eight hundred seventy-six billion, eight hundred seventy-one million, five hundred thirty-six thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 3.8446876871536896 × 10¹⁶

Factors of 38446876871536896

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2633509

Divisors of 38446876871536896

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 64 72 74 84 96 111 112 126 128 144 148 168 192 222 224 252 256 259 288 296 333 336 384 444 448 504 518 576 592 666 672 768 777 888 896 1008 1036 1152 1184 1332 1344 1554 1776 1792 2016 2072 2304 2331 2368 2664 2688 3108 3552 4032 4144 4662 4736 5328 5376 6216 7104 8064 8288 9324 9472 10656 12432 14208 16128 16576 18648 21312 24697 24864 28416 33152 37296 42624 49394 49728 66304 74091 74592 85248 98788 99456 148182 149184 172879 197576 198912 222273 296364 298368 345758 395152 444546 518637 592728 596736 691516 790304 889092 913789 1037274 1185456 1383032 1555911 1580608 1778184 1827578 2074548 2370912 2608763 2741367 2766064 3111822 3161216 3556368 3655156 4149096 4741824 5217526 5482734 5532128 6223644 6322432 6396523 7112736 7310312 7826289 8224101 8298192 9483648 10435052 10965468 11064256 12447288 12793046 14225472 14620624 15652578 16448202 16596384 18261341 18967296 19189569 20870104 21930936 22128512 23478867 24894576 25586092 28450944 29241248 31305156 32896404 33192768 36522682 38379138 41740208 43861872 44257024 46957734 49789152 51172184 54784023 56901888 57568707 58482496 62610312 65792808 66385536 73045364 76758276 83480416 87723744 93915468 96524231 99578304 102344368 109568046 115137414 116964992 125220624 131585616 132771072 146090728 153516552 164352069 166960832 175447488 187830936 193048462 199156608 204688736 219136092 230274828 233929984 250441248 263171232 289572693 292181456 307033104 328704138 333921664 350894976 375661872 386096924 398313216 409377472 438272184 460549656 500882496 526342464 579145386 584362912 614066208 657408276 667843328 675669617 701789952 751323744 772193848 818754944 868718079 876544368 921099312 1001764992 1052684928 1158290772 1168725824 1228132416 1314816552 1351339234 1502647488 1544387696 1637509888 1737436158 1753088736 1842198624 2003529984 2027008851 2105369856 2316581544 2337451648 2456264832 2629633104 2702678468 3005294976 3088775392 3474872316 3506177472 3684397248 4054017702 4633163088 4674903296 4912529664 5259266208 5405356936 6010589952 6081026553 6177550784 6949744632 7012354944 7368794496 8108035404 9266326176 10518532416 10810713872 12162053106 12355101568 13899489264 14024709888 14737588992 16216070808 18532652352 21037064832 21621427744 24324106212 24710203136 27798978528 32432141616 37065304704 42074129664 43242855488 48648212424 55597957056 64428619811 64864283232 74130609408 86485710976 97296424848 111195914112 128857239622 129728566464 172971421952 193285859433 194592849696 222391828224 257714479244 259457132928 386571718866 389185699392 451000338677 515428958488 518914265856 579857578299 773143437732 778371398784 902000677354 1030857916976 1159715156598 1353001016031 1546286875464 1556742797568 1804001354708 2061715833952 2319430313196 2383858933007 2706002032062 3092573750928 3608002709416 4059003048093 4123431667904 4638860626392 4767717866014 5412004064124 6185147501856 7151576799021 7216005418832 8118006096186 8246863335808 9277721252784 9535435732028 10824008128248 12370295003712 14303153598042 14432010837664 16236012192372 16493726671616 16687012531049 18555442505568 19070871464056 21454730397063 21648016256496 24740590007424 28606307196084 28864021675328 32472024384744 33374025062098 37110885011136 38141742928112 42909460794126 43296032512992 49481180014848 50061037593147 57212614392168 57728043350656 64944048769488 66748050124196 74221770022272 76283485856224 85818921588252 86592065025984 100122075186294 114425228784336 115456086701312 129888097538976 133496100248392 148443540044544 150183112779441 152566971712448 171637843176504 173184130051968 200244150372588 228850457568672 259776195077952 266992200496784 300366225558882 305133943424896 343275686353008 346368260103936 400488300745176 457700915137344 519552390155904 533984400993568 600732451117764 610267886849792 686551372706016 800976601490352 915401830274688 1039104780311808 1067968801987136 1201464902235528 1373102745412032 1601953202980704 1830803660549376 2135937603974272 2402929804471056 2746205490824064 3203906405961408 4271875207948544 4805859608942112 5492410981648128 6407812811922816 9611719217884224 12815625623845632 19223438435768448 38446876871536896
• Sum of all divisors σ(n): 130117111907712384
• Sum of proper divisors (its aliquot sum) s(n): 91670235036175488
• 38446876871536896 is an abundant number, because the sum of its proper divisors (91670235036175488) is greater than itself. Its abundance is 53223358164638592

Bases of 38446876871536896

• Binary: 10001000100101110011101100010110101001101011000100000000₂
• Hexadecimal: 0x88973B16A6B100
• Base-36: AIKA3EKDA80

Squares and roots of 38446876871536896

• 38446876871536896 squared (38446876871536896²) is 1478162341175118699450353089314816
• 38446876871536896 cubed (38446876871536896³) is 56830725527302501534904937131621293280261503451136
• The square root of 38446876871536896 is 196078751.7084319261
• The cube root of 38446876871536896 is 337510.2932287469

Scales and comparisons

• 38,446,876,871,536,896 seconds is equal to 1,222,491,760 years, 26 weeks, 5 days, 23 hours, 21 minutes, 36 seconds.
• To count from 1 to 38,446,876,871,536,896 would take you about three billion, six hundred sixty-seven million, four hundred seventy-five thousand, two hundred eighty-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 38446876871536896 cubic inches would be around 28125.9 feet tall.

Recreational maths with 38446876871536896

• 38446876871536896 backwards is 69863517867864483
• The number of decimal digits it has is: 17
• The sum of 38446876871536896's digits is 99
• More coming soon!