3988445994041600

Names of 3988445994041600

• Cardinal: 3988445994041600 can be written as Three quadrillion, nine hundred eighty-eight trillion, four hundred forty-five billion, nine hundred ninety-four million, forty-one thousand, six hundred.

Scientific notation

• Scientific notation: 3.9884459940416 × 10¹⁵

Factors of 3988445994041600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 185089071

Divisors of 3988445994041600

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 37 40 50 52 56 64 65 70 74 80 91 100 104 112 128 130 140 148 160 175 182 185 200 208 224 256 259 260 280 296 320 325 350 364 370 400 416 448 455 481 518 520 560 592 640 650 700 728 740 800 832 896 910 925 962 1036 1040 1120 1184 1280 1295 1300 1400 1456 1480 1600 1664 1792 1820 1850 1924 2072 2080 2240 2275 2368 2405 2590 2600 2800 2912 2960 3200 3328 3367 3640 3700 3848 4144 4160 4480 4550 4736 4810 5180 5200 5600 5824 5920 6400 6475 6734 7280 7400 7696 8288 8320 8960 9100 9472 9620 10360 10400 11200 11648 11840 12025 12950 13468 14560 14800 15392 16576 16640 16835 18200 19240 20720 20800 22400 23296 23680 24050 25900 26936 29120 29600 30784 33152 33670 36400 38480 41440 41600 44800 47360 48100 51800 53872 58240 59200 61568 66304 67340 72800 76960 82880 83200 84175 96200 103600 107744 116480 118400 123136 134680 145600 153920 165760 168350 192400 207200 215488 236800 269360 291200 307840 331520 336700 384800 414400 430976 538720 582400 615680 673400 769600 828800 861952 1077440 1346800 1539200 1657600 2154880 2693600 3078400 4309760 5387200 10774400 21548800 185089007 370178014 740356028 925445035 1295623049 1480712056 1850890070 2406157091 2591246098 2961424112 3701780140 4627225175 4812314182 5182492196 5922848224 6478115245 6848293259 7403560280 9254450350 9624628364 10364984392 11845696448 12030785455 12956230490 13696586518 14807120560 16843099637 18508900700 19249256728 20729968784 23691392896 24061570910 25912460980 27393173036 29614241120 32390576225 33686199274 34241466295 37017801400 38498513456 41459937568 47382785792 47938052813 48123141820 51824921960 54786346072 59228482240 60153927275 64781152450 67372398548 68482932590 74035602800 76997026912 82919875136 84215498185 89027812367 95876105626 96246283640 103649843920 109572692144 118456964480 120307854550 129562304900 134744797096 136965865180 148071205600 153994053824 165839750272 168430996370 171207331475 178055624734 191752211252 192492567280 207299687840 219145384288 236913928960 239690264065 240615709100 259124609800 269489594192 273931730360 296142411200 307988107648 331679500544 336861992740 342414662950 356111249468 383504422504 384985134560 414599375680 421077490925 438290768576 445139061835 479380528130 481231418200 518249219600 538979188384 547863460720 592284822400 615976215296 623194686569 673723985480 684829325900 712222498936 767008845008 769970269120 829198751360 842154981850 876581537152 890278123670 958761056260 962462836400 1036498439200 1077958376768 1095726921440 1184569644800 1198451320325 1246389373138 1347447970960 1369658651800 1424444997872 1534017690016 1539940538240 1658397502720 1684309963700 1753163074304 1780556247340 1917522112520 1924925672800 2072996878400 2155916753536 2191453842880 2225695309175 2396902640650 2492778746276 2694895941920 2739317303600 2848889995744 3068035380032 3079881076480 3115973432845 3368619927400 3561112494680 3835044225040 3849851345600 4145993756800 4311833507072 4382907685760 4451390618350 4793805281300 4985557492552 5389791883840 5478634607200 5697779991488 6136070760064 6231946865690 6737239854800 7122224989360 7670088450080 7699702691200 8291987513600 8765815371520 8902781236700 9587610562600 9971114985104 10779583767680 10957269214400 11395559982976 12272141520128 12463893731380 13474479709600 14244449978720 15340176900160 15399405382400 15579867164225 17805562473400 19175221125200 19942229970208 21559167535360 21914538428800 22791119965952 24927787462760 26948959419200 28488899957440 30680353800320 31159734328450 35611124946800 38350442250400 39884459940416 43829076857600 49855574925520 53897918838400 56977799914880 61360707600640 62319468656900 71222249893600 76700884500800 79768919880832 99711149851040 107795837676800 113955599829760 124638937313800 142444499787200 153401769001600 159537839761664 199422299702080 249277874627600 284888999574400 306803538003200 398844599404160 498555749255200 569777999148800 797689198808320 997111498510400 1994222997020800 3988445994041600
• Sum of all divisors σ(n): 12478570616698368
• Sum of proper divisors (its aliquot sum) s(n): 8490124622656768
• 3988445994041600 is an abundant number, because the sum of its proper divisors (8490124622656768) is greater than itself. Its abundance is 4501678628615168

Bases of 3988445994041600

• Binary: 1110001010110111100001110010101011100100000100000000₂
• Hexadecimal: 0xE2B7872AE4100
• Base-36: 139SASM883K

Squares and roots of 3988445994041600

• 3988445994041600 squared (3988445994041600²) is 15907701447386486742702530560000
• 3988445994041600 cubed (3988445994041600³) is 63447008112238395198877294594191001911296000000
• The square root of 3988445994041600 is 63154144.7099206625
• The cube root of 3988445994041600 is 158587.1174569201

Scales and comparisons

• 3,988,445,994,041,600 seconds is equal to 126,820,245 years, 27 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 3,988,445,994,041,600 would take you about three hundred eighty million, four hundred sixty thousand, seven hundred thirty-six 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 3988445994041600 cubic inches would be around 13215.6 feet tall.

Recreational maths with 3988445994041600

• 3988445994041600 backwards is 0061404995448893
• 3988445994041600 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 3988445994041600's digits is 74
• More coming soon!