48165871956431216
48,165,871,956,431,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48165871956431216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 320 divisors.
48165871956431216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 48165871956431216:
24 × 13 × 23 × 73 × 127 × 19861 × 54679
(2 × 2 × 2 × 2 × 13 × 23 × 73 × 127 × 19861 × 54679)See below for interesting mathematical facts about the number 48165871956431216 from the Numbermatics database.
Names of 48165871956431216
- Cardinal: 48165871956431216 can be written as Forty-eight quadrillion, one hundred sixty-five trillion, eight hundred seventy-one billion, nine hundred fifty-six million, four hundred thirty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.8165871956431216 × 1016
Factors of 48165871956431216
Divisors of 48165871956431216
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 8 13 16 23 26 46 52 73 92 104 127 146 184 208 254 292 299 368 508 584 598 949 1016 1168 1196 1651 1679 1898 2032 2392 2921 3302 3358 3796 4784 5842 6604 6716 7592 9271 11684 13208 13432 15184 18542 19861 21827 23368 26416 26864 37084 37973 39722 43654 46736 54679 74168 75946 79444 87308 109358 120523 148336 151892 158888 174616 213233 218716 241046 258193 303784 317776 349232 426466 437432 456803 482092 516386 607568 710827 852932 874864 913606 964184 1032772 1257617 1421654 1449853 1705864 1827212 1928368 2065544 2515234 2522347 2772029 2843308 2899706 3411728 3654424 3991567 4131088 5030468 5044694 5544058 5686616 5799412 5938439 6944233 7308848 7983134 10060936 10089388 11088116 11373232 11598824 11876878 13888466 15966268 16349021 18848089 20121872 20178776 22176232 23197648 23753756 27776932 31932536 32698042 32790511 33346619 37696178 40357552 44352464 47507512 51890371 55553864 58013981 63865072 65396084 65581022 66693238 75392356 90275029 91806041 95015024 103780742 111107728 116027962 130792168 131162044 133386476 150784712 159717359 180550058 183612082 184131331 207561484 232055924 261584336 262324088 266772952 301569424 319434718 361100116 367224164 368262662 415122968 433506047 464111848 506929009 524648176 533545904 638869436 722200232 734448328 736525324 754181753 830245936 867012094 928223696 1013858018 1085979619 1193478533 1277738872 1444400464 1468896656 1473050648 1508363506 1734024188 2027716036 2076325667 2171959238 2386957066 2393707303 2555477744 2946101296 3016727012 3468048376 4055432072 4152651334 4235020613 4343918476 4773914132 4787414606 6033454024 6590077117 6936096752 8110864144 8305302668 8470041226 8687836952 9547828264 9574829212 11659367207 12066908048 13180154234 14117735047 16610605336 16940082452 17375673904 19095656528 19149658424 23318734414 24977531237 26360308468 28235470094 33221210672 33880164904 38299316848 46637468828 49955062474 52720616936 55055267969 56470940188 67760329808 79276512187 93274937656 99910124948 105441233872 110110535938 112941880376 137919411613 151571773691 158553024374 186549875312 199820249896 220221071876 225883760752 275838823226 303143547382 317106048748 324707906081 399640499792 440442143752 551677646452 606287094764 634212097496 649415812162 880884287504 1030594658431 1103355292904 1212574189528 1268424194992 1298831624324 1792952350969 1823359780301 2061189316862 2206710585808 2425148379056 2597663248648 3172146467099 3585904701938 3646719560602 4122378633724 5195326497296 6344292934198 7171809403876 7293439121204 8244757267448 10068117047749 12688585868396 14343618807752 14586878242408 16489514534896 20136234095498 23703677143913 25377171736792 28687237615504 29173756484816 40272468190996 41237904072287 47407354287826 50754343473584 80544936381992 82475808144574 94814708575652 130885521620737 161089872763984 164951616289148 189629417151304 231566692098227 261771043241474 329903232578296 379258834302608 463133384196454 523542086482948 659806465156592 926266768392908 1047084172965896 1852533536785816 2094168345931792 3010366997276951 3705067073571632 6020733994553902 12041467989107804 24082935978215608 48165871956431216
- Sum of all divisors σ(n): 107150485716664320
- Sum of proper divisors (its aliquot sum) s(n): 58984613760233104
- 48165871956431216 is an abundant number, because the sum of its proper divisors (58984613760233104) is greater than itself. Its abundance is 10818741803801888
Bases of 48165871956431216
- Binary: 101010110001111010011010111110000100001010010001011100002
- Hexadecimal: 0xAB1E9AF8429170
- Base-36: D69DK3WWC4W
Squares and roots of 48165871956431216
- 48165871956431216 squared (481658719564312162) is 2319951221323327055218942939238656
- 48165871956431216 cubed (481658719564312163) is 111742473471425587903440306956482684720017872285696
-
The
square root of 48165871956431216 is 219467245.7484970945 -
The
cube root of 48165871956431216 is 363842.2613759081
Scales and comparisons
How big is 48165871956431216?- 48,165,871,956,431,216 seconds is equal to 1,531,525,741 years, 20 weeks, 2 days, 2 hours, 26 minutes, 56 seconds.
-
To count from 1 to 48,165,871,956,431,216 would take you about four billion, five hundred ninety-four million, five hundred seventy-seven thousand, two hundred twenty-four 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 48165871956431216 cubic inches would be around 30320.2 feet tall.
Recreational maths with 48165871956431216
- 48165871956431216 backwards is 61213465917856184
- The number of decimal digits it has is: 17
- The sum of 48165871956431216's digits is 77
- More coming soon!
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