48146893864960000
48,146,893,864,960,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 48146893864960000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1710 divisors.
48146893864960000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 48146893864960000:
218 × 54 × 112 × 232 × 4591
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 23 × 23 × 4591)See below for interesting mathematical facts about the number 48146893864960000 from the Numbermatics database.
Names of 48146893864960000
- Cardinal: 48146893864960000 can be written as Forty-eight quadrillion, one hundred forty-six trillion, eight hundred ninety-three billion, eight hundred sixty-four million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 4.814689386496 × 1016
Factors of 48146893864960000
Divisors of 48146893864960000
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 125 128 160 176 184 200 220 230 242 250 253 256 275 320 352 368 400 440 460 484 500 506 512 529 550 575 605 625 640 704 736 800 880 920 968 1000 1012 1024 1058 1100 1150 1210 1250 1265 1280 1375 1408 1472 1600 1760 1840 1936 2000 2024 2048 2116 2200 2300 2420 2500 2530 2560 2645 2750 2783 2816 2875 2944 3025 3200 3520 3680 3872 4000 4048 4096 4232 4400 4591 4600 4840 5000 5060 5120 5290 5500 5566 5632 5750 5819 5888 6050 6325 6400 6875 7040 7360 7744 8000 8096 8192 8464 8800 9182 9200 9680 10000 10120 10240 10580 11000 11132 11264 11500 11638 11776 12100 12650 12800 13225 13750 13915 14080 14375 14720 15125 15488 16000 16192 16384 16928 17600 18364 18400 19360 20000 20240 20480 21160 22000 22264 22528 22955 23000 23276 23552 24200 25300 25600 26450 27500 27830 28160 28750 29095 29440 30250 30976 31625 32000 32384 32768 33856 35200 36728 36800 38720 40000 40480 40960 42320 44000 44528 45056 45910 46000 46552 47104 48400 50501 50600 51200 52900 55000 55660 56320 57500 58190 58880 60500 61952 63250 64000 64009 64768 65536 66125 67712 69575 70400 73456 73600 75625 77440 80000 80960 81920 84640 88000 89056 90112 91820 92000 93104 94208 96800 101002 101200 102400 105593 105800 110000 111320 112640 114775 115000 116380 117760 121000 123904 126500 128000 128018 129536 131072 132250 135424 139150 140800 145475 146912 147200 151250 154880 158125 160000 161920 163840 169280 176000 178112 180224 183640 184000 186208 188416 193600 202004 202400 204800 211186 211600 220000 222640 225280 229550 230000 232760 235520 242000 247808 252505 253000 256000 256036 259072 262144 264500 270848 278300 281600 290950 293824 294400 302500 309760 316250 320000 320045 323840 327680 330625 338560 347875 352000 356224 360448 367280 368000 372416 376832 387200 404008 404800 409600 422372 423200 440000 445280 450560 459100 460000 465520 471040 484000 495616 505010 506000 512000 512072 518144 527965 529000 541696 555511 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75229521664000 77035030183936 79581642752000 83733728460800 87539807027200 91014922240000 94036902080000 95151964160000 96293787729920 99477053440000 104667160576000 109424758784000 120367234662400 130833950720000 136780948480000 150459043328000 175079614054400 188073804160000 190303928320000 192587575459840 198954106880000 209334321152000 218849517568000 240734469324800 261667901440000 273561896960000 300918086656000 376147608320000 385175150919680 397908213760000 418668642304000 437699035136000 481468938649600 523335802880000 547123793920000 601836173312000 752295216640000 875398070272000 962937877299200 1046671605760000 1094247587840000 1203672346624000 1504590433280000 1925875754598400 2093343211520000 2188495175680000 2407344693248000 3009180866560000 4376990351360000 4814689386496000 6018361733120000 9629378772992000 12036723466240000 24073446932480000 48146893864960000
- Sum of all divisors σ(n): 138292546839084176
- Sum of proper divisors (its aliquot sum) s(n): 90145652974124176
- 48146893864960000 is an abundant number, because the sum of its proper divisors (90145652974124176) is greater than itself. Its abundance is 41998759109164176
Bases of 48146893864960000
- Binary: 101010110000110101011000010010011101110000000000000000002
- Hexadecimal: 0xAB0D5849DC0000
- Base-36: D62NDOZ8HZ4
Squares and roots of 48146893864960000
- 48146893864960000 squared (481468938649600002) is 2318123388843722886715801600000000
- 48146893864960000 cubed (481468938649600003) is 111610440768540125962623369138128551936000000000000
-
The
square root of 48146893864960000 is 219424004.7600991171 -
The
cube root of 48146893864960000 is 363794.4686232691
Scales and comparisons
How big is 48146893864960000?- 48,146,893,864,960,000 seconds is equal to 1,530,922,296 years, 40 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,146,893,864,960,000 would take you about four billion, five hundred ninety-two million, seven hundred sixty-six thousand, eight hundred ninety 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 48146893864960000 cubic inches would be around 30316.2 feet tall.
Recreational maths with 48146893864960000
- 48146893864960000 backwards is 00006946839864184
- The number of decimal digits it has is: 17
- The sum of 48146893864960000's digits is 76
- More coming soon!
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Numbermatics. (2024). Number 48146893864960000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/48146893864960000/
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The information we have on file for 48146893864960000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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