48738157468000
48,738,157,468,000 is an even composite number composed of nine prime numbers multiplied together.
48738157468000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 48738157468000:
25 × 53 × 7 × 11 × 13 × 31 × 41 × 61 × 157
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 31 × 41 × 61 × 157)See below for interesting mathematical facts about the number 48738157468000 from the Numbermatics database.
Names of 48738157468000
- Cardinal: 48738157468000 can be written as Forty-eight trillion, seven hundred thirty-eight billion, one hundred fifty-seven million, four hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8738157468 × 1013
Factors of 48738157468000
Divisors of 48738157468000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 31 32 35 40 41 44 50 52 55 56 61 62 65 70 77 80 82 88 91 100 104 110 112 122 124 125 130 140 143 154 155 157 160 164 175 176 182 200 205 208 217 220 224 244 248 250 260 275 280 286 287 305 308 310 314 325 328 341 350 352 364 385 400 403 410 416 427 434 440 451 455 488 496 500 520 533 550 560 572 574 610 616 620 628 650 656 671 682 700 715 728 770 775 785 793 800 806 820 854 868 875 880 902 910 976 992 1000 1001 1025 1040 1066 1085 1099 1100 1120 1144 1148 1220 1232 1240 1256 1271 1300 1312 1342 1364 1375 1400 1430 1435 1456 1525 1540 1550 1570 1586 1612 1625 1640 1705 1708 1727 1736 1750 1760 1804 1820 1891 1925 1952 2000 2002 2015 2041 2050 2080 2132 2135 2170 2198 2200 2255 2275 2288 2296 2387 2440 2464 2480 2501 2512 2542 2600 2665 2684 2728 2750 2800 2821 2860 2870 2912 3050 3080 3100 3140 3157 3172 3224 3250 3280 3355 3410 3416 3454 3472 3500 3575 3608 3640 3731 3782 3850 3875 3925 3965 4000 4004 4030 4082 4100 4264 4270 4340 4396 4400 4433 4510 4550 4576 4592 4697 4774 4867 4880 4960 5002 5005 5024 5084 5125 5200 5330 5368 5425 5456 5495 5500 5551 5600 5642 5720 5740 5863 6100 6160 6200 6280 6314 6344 6355 6437 6448 6500 6560 6710 6820 6832 6908 6944 7000 7150 7175 7216 7280 7462 7564 7625 7700 7750 7850 7930 8008 8060 8164 8200 8525 8528 8540 8635 8680 8723 8792 8800 8866 8897 9020 9100 9184 9394 9455 9548 9577 9625 9734 9760 10004 10010 10075 10168 10205 10250 10400 10660 10675 10736 10850 10912 10990 11000 11102 11275 11284 11375 11440 11480 11726 11935 12089 12200 12320 12400 12505 12560 12628 12688 12710 12874 12896 13000 13237 13325 13420 13640 13664 13816 13981 14000 14105 14287 14300 14350 14432 14560 14924 15128 15250 15400 15500 15700 15785 15860 16016 16120 16328 16400 16523 16775 17050 17056 17080 17270 17360 17446 17507 17584 17732 17794 17875 18040 18200 18655 18788 18910 19096 19154 19250 19468 19625 19825 20008 20020 20150 20336 20410 20500 20801 21320 21350 21472 21700 21980 22000 22165 22204 22451 22550 22568 22750 22880 22960 23452 23485 23870 24178 24335 24400 24583 24800 25010 25025 25120 25256 25376 25420 25748 26000 26474 26650 26840 27125 27280 27475 27511 27632 27755 27962 28000 28210 28574 28600 28700 29315 29848 30256 30500 30800 31000 31031 31400 31570 31720 31775 32032 32185 32240 32513 32656 32800 33046 33550 34069 34100 34160 34540 34720 34892 35014 35168 35464 35588 35750 35875 36080 36400 37310 37576 37820 38192 38308 38500 38936 39250 39650 40016 40040 40300 40672 40820 41000 41041 41602 42625 42640 42700 43175 43400 43615 43960 44000 44330 44408 44485 44902 45059 45100 45136 45500 45920 46904 46970 47275 47740 47885 48356 48670 48800 49166 50020 50050 50375 50512 50840 51025 51496 52000 52948 53300 53375 53537 53680 54250 54560 54950 55022 55264 55510 55924 56375 56420 57148 57200 57400 58630 59675 59696 60445 60512 61000 61061 61600 62000 62062 62525 62800 63140 63271 63440 63550 64370 64480 65026 65312 66092 66185 66625 67039 67100 68138 68200 68320 69080 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2552270500 2577374800 2594111000 2612605600 2677920740 2701671700 2726610208 2739022000 2748599000 2771733250 2783924000 2793658000 2807497550 2822128400 2853522100 2857537375 2858542960 2905404320 2949716000 2971838870 2984943500 3023458900 3043091750 3073023800 3087624800 3104341240 3144397256 3164815420 3195944752 3221718500 3265757000 3347400925 3377089625 3396387280 3408262760 3411364000 3455381600 3481296962 3486028000 3527660500 3566902625 3573178700 3631755400 3657647840 3681964000 3749089036 3779323625 3785782000 3834630800 3841279750 3859531000 3880426550 3897493600 3930496570 3956019275 3994930940 4031612000 4083632800 4156418000 4245484100 4260328450 4284673184 4319227000 4322674720 4390034000 4430741588 4434773200 4466473375 4491996080 4539694250 4565635360 4572059800 4686361295 4754942192 4775909600 4793288500 4837534240 4868946800 4871867000 4993663675 5007002000 5063704672 5089084000 5104541000 5154749600 5188222000 5306855125 5355841480 5403343400 5478044000 5497198000 5538426985 5543466500 5587316000 5614995100 5644256800 5707044200 5715074750 5717085920 5943677740 5969887000 6046917800 6086183500 6146047600 6208682480 6288794512 6329630840 6391889504 6443437000 6531514000 6694801850 6754179250 6792774560 6816525520 6962593924 7018743875 7055321000 7133805250 7146357400 7263510800 7429597175 7498178072 7558647250 7571564000 7669261600 7682559500 7719062000 7760853100 7860993140 7912038550 7989861880 8312836000 8490968200 8520656900 8638454000 8703242405 8780068000 8861483176 8869546400 8932946750 8983992160 9079388500 9144119600 9372722590 9509884384 9586577000 9701066375 9737893600 9743734000 9826241425 9987327350 10014004000 10209082000 10376444000 10613710250 10650821125 10711682960 10806686800 10994396000 11076853970 11086933000 11229990200 11414088400 11430149500 11887355480 11939774000 12093835600 12172367000 12184539367 12292095200 12417364960 12577589024 12659261680 12886874000 13063028000 13389603700 13508358500 13633051040 13925187848 14037487750 14110642000 14267610500 14292714800 14527021600 14859194350 14996356144 15117294500 15365119000 15438124000 15521706200 15721986280 15824077100 15979723760 16737004625 16981936400 17041313800 17276908000 17406484810 17722966352 17865893500 18158777000 18288239200 18745445180 19173154000 19402132750 19487468000 19652482850 19780096375 19974654700 20418164000 21227420500 21301642250 21423365920 21613373600 22153707940 22173866000 22459980400 22828176800 22860299000 23431806475 23774710960 23879548000 24187671200 24344734000 24369078734 24968318375 25318523360 25773748000 26779207400 27016717000 27692134925 27850375696 28074975500 28221284000 28535221000 28585429600 29718388700 29992712288 30234589000 30730238000 31043412400 31443972560 31648154200 31959447520 33474009250 33963872800 34082627600 34812969620 35445932704 35731787000 36317554000 37147985875 37490890360 38346308000 38804265500 39304965700 39560192750 39949309400 42454841000 42603284500 43516212025 44307415880 44347732000 44919960800 45720598000 46863612950 47549421920 48689468000 48738157468 49131207125 49936636750 53558414800 54033434000 55384269850 55700751392 56149951000 57070442000 59436777400 60469178000 60922696835 61460476000 62086824800 62887945120 63296308400 66948018500 68165255200 69625939240 71463574000 72635108000 74295971750 74981780720 77608531000 78609931400 79120385500 79898618800 84909682000 85206569000 87032424050 88614831760 91441196000 93727225900 97476314936 98262414250 99873273500 107116829600 108066868000 110768539700 112299902000 114140884000 117159032375 118873554800 120938356000 121845393670 126592616800 133896037000 138460674625 139251878480 142927148000 148591943500 149963561440 155217062000 157219862800 158240771000 159797237600 169819364000 170413138000 174064848100 177229663520 187454451800 194952629872 196524828500 199746547000 217581060125 221537079400 224599804000 234318064750 237747109600 243690787340 267792074000 276921349250 278503756960 297183887000 304613484175 310434124000 314439725600 316481542000 340826276000 348129696200 374908903600 389905259744 393049657000 399493094000 435162120250 443074158800 468636129500 487381574680 535584148000 553842698500 594367774000 609226968350 632963084000 696259392400 749817807200 786099314000 798986188000 870324240500 886148317600 937272259000 974763149360 1107685397000 1188735548000 1218453936700 1392518784800 1523067420875 1572198628000 1740648481000 1874544518000 1949526298720 2215370794000 2436907873400 3046134841750 3481296962000 3749089036000 4430741588000 4873815746800 6092269683500 6962593924000 9747631493600 12184539367000 24369078734000 48738157468000
- Sum of all divisors σ(n): 173905157357568
- Sum of proper divisors (its aliquot sum) s(n): 125166999889568
- 48738157468000 is an abundant number, because the sum of its proper divisors (125166999889568) is greater than itself. Its abundance is 76428842421568
Bases of 48738157468000
- Binary: 10110001010011101111001001000000011001011000002
- Hexadecimal: 0x2C53BC901960
- Base-36: H9Y00KOKG
Squares and roots of 48738157468000
- 48738157468000 squared (487381574680002) is 2375407993375564171024000000
- 48738157468000 cubed (487381574680003) is 115773008831884147430706594807232000000000
-
The
square root of 48738157468000 is 6981271.9090435089 -
The
cube root of 48738157468000 is 36527.7595712987
Scales and comparisons
How big is 48738157468000?- 48,738,157,468,000 seconds is equal to 1,549,722 years, 33 weeks, 5 days, 18 hours, 26 minutes, 40 seconds.
-
To count from 1 to 48,738,157,468,000 would take you about three million, eight hundred seventy-four thousand, three hundred 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 48738157468000 cubic inches would be around 3044 feet tall.
Recreational maths with 48738157468000
- 48738157468000 backwards is 00086475183784
- 48738157468000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48738157468000's digits is 61
- More coming soon!
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MLA style:
"Number 48738157468000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 48738157468000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48738157468000/
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The information we have on file for 48738157468000 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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