48146639609754840
48,146,639,609,754,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48146639609754840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 256 divisors.
48146639609754840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 48146639609754840:
23 × 3 × 5 × 7 × 11 × 179 × 29109917779
(2 × 2 × 2 × 3 × 5 × 7 × 11 × 179 × 29109917779)See below for interesting mathematical facts about the number 48146639609754840 from the Numbermatics database.
Names of 48146639609754840
- Cardinal: 48146639609754840 can be written as Forty-eight quadrillion, one hundred forty-six trillion, six hundred thirty-nine billion, six hundred nine million, seven hundred fifty-four thousand, eight hundred forty.
Scientific notation
- Scientific notation: 4.814663960975484 × 1016
Factors of 48146639609754840
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 29109917986
Divisors of 48146639609754840
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 179 210 220 231 264 280 308 330 358 385 420 440 462 537 616 660 716 770 840 895 924 1074 1155 1253 1320 1432 1540 1790 1848 1969 2148 2310 2506 2685 3080 3580 3759 3938 4296 4620 5012 5370 5907 6265 7160 7518 7876 9240 9845 10024 10740 11814 12530 13783 15036 15752 18795 19690 21480 23628 25060 27566 29535 30072 37590 39380 41349 47256 50120 55132 59070 68915 75180 78760 82698 110264 118140 137830 150360 165396 206745 236280 275660 330792 413490 551320 826980 1653960 29109917779 58219835558 87329753337 116439671116 145549588895 174659506674 203769424453 232879342232 291099177790 320209095569 349319013348 407538848906 436648766685 582198355580 611308273359 640418191138 698638026696 815077697812 873297533370 960627286707 1018847122265 1164396711160 1222616546718 1280836382276 1601045477845 1630155395624 1746595066740 1921254573414 2037694244530 2241463668983 2445233093436 2561672764552 3056541366795 3202090955690 3493190133480 3842509146828 4075388489060 4482927337966 4803136433535 4890466186872 5210675282441 6113082733590 6404181911380 6724391006949 7685018293656 8150776978120 8965854675932 9606272867070 10421350564882 11207318344915 12226165467180 12808363822760 13448782013898 15632025847323 17931709351864 19212545734140 20842701129764 22414636689830 24452330934360 26053376412205 26897564027796 31264051694646 33621955034745 36474726977087 38425091468280 41685402259528 44829273379660 52106752824410 53795128055592 57317428106851 62528103389292 67243910069490 72949453954174 78160129236615 89658546759320 104213505648820 109424180931261 114634856213702 125056206778584 134487820138980 145898907908348 156320258473230 171952284320553 182373634885435 208427011297640 218848361862522 229269712427404 268975640277960 286587140534255 291797815816696 312640516946460 343904568641106 364747269770870 401221996747957 437696723725044 458539424854808 547120904656305 573174281068510 625281033892920 687809137282212 729494539541740 802443993495914 859761421602765 875393447450088 1094241809312610 1146348562137020 1203665990243871 1375618274564424 1458989079083480 1604887986991828 1719522843205530 2006109983739785 2188483618625220 2292697124274040 2407331980487742 3209775973983656 3439045686411060 4012219967479570 4376967237250440 4814663960975484 6018329951219355 6878091372822120 8024439934959140 9629327921950968 12036659902438710 16048879869918280 24073319804877420 48146639609754840
- Sum of all divisors σ(n): 181086976525824000
- Sum of proper divisors (its aliquot sum) s(n): 132940336916069160
- 48146639609754840 is an abundant number, because the sum of its proper divisors (132940336916069160) is greater than itself. Its abundance is 84793697306314320
Bases of 48146639609754840
- Binary: 101010110000110100011101000101110001000101110100110110002
- Hexadecimal: 0xAB0D1D171174D8
- Base-36: D62K4W2923C
Squares and roots of 48146639609754840
- 48146639609754840 squared (481466396097548402) is 2318098905711613691766484903425600
- 48146639609754840 cubed (481466396097548403) is 111608672593064129881298313709064546209092179904000
-
The
square root of 48146639609754840 is 219423425.3897127547 -
The
cube root of 48146639609754840 is 363793.8282441247
Scales and comparisons
How big is 48146639609754840?- 48,146,639,609,754,840 seconds is equal to 1,530,914,212 years, 13 weeks, 2 days, 1 hour, 14 minutes.
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To count from 1 to 48,146,639,609,754,840 would take you about four billion, five hundred ninety-two million, seven hundred forty-two thousand, six 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 48146639609754840 cubic inches would be around 30316.2 feet tall.
Recreational maths with 48146639609754840
- 48146639609754840 backwards is 04845790693664184
- 48146639609754840 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48146639609754840's digits is 84
- More coming soon!
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