48683968669440
48,683,968,669,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48683968669440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
48683968669440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48683968669440:
28 × 35 × 5 × 13 × 31 × 61 × 6367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 61 × 6367)See below for interesting mathematical facts about the number 48683968669440 from the Numbermatics database.
Names of 48683968669440
- Cardinal: 48683968669440 can be written as Forty-eight trillion, six hundred eighty-three billion, nine hundred sixty-eight million, six hundred sixty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.868396866944 × 1013
Factors of 48683968669440
Divisors of 48683968669440
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 61 62 64 65 72 78 80 81 90 93 96 104 108 117 120 122 124 128 130 135 144 155 156 160 162 180 183 186 192 195 208 216 234 240 243 244 248 256 260 270 279 288 305 310 312 320 324 351 360 366 372 384 390 403 405 416 432 465 468 480 486 488 496 520 540 549 558 576 585 610 620 624 640 648 702 720 732 744 768 780 793 806 810 832 837 864 915 930 936 960 972 976 992 1040 1053 1080 1098 1116 1152 1170 1209 1215 1220 1240 1248 1280 1296 1395 1404 1440 1464 1488 1560 1586 1612 1620 1647 1664 1674 1728 1755 1830 1860 1872 1891 1920 1944 1952 1984 2015 2080 2106 2160 2196 2232 2304 2340 2379 2418 2430 2440 2480 2496 2511 2592 2745 2790 2808 2880 2928 2976 3120 3159 3172 3224 3240 3294 3328 3348 3456 3510 3627 3660 3720 3744 3782 3840 3888 3904 3965 3968 4030 4160 4185 4212 4320 4392 4464 4680 4758 4836 4860 4880 4941 4960 4992 5022 5184 5265 5490 5580 5616 5673 5760 5856 5952 6045 6240 6318 6344 6367 6448 6480 6588 6696 6912 7020 7137 7254 7320 7440 7488 7533 7564 7776 7808 7930 7936 8060 8235 8320 8370 8424 8640 8784 8928 9360 9455 9516 9672 9720 9760 9882 9920 9984 10044 10368 10530 10881 10980 11160 11232 11346 11520 11712 11895 11904 12090 12480 12555 12636 12688 12734 12896 12960 13176 13392 14040 14274 14508 14640 14823 14880 14976 15066 15128 15552 15616 15795 15860 16120 16470 16640 16740 16848 17019 17280 17568 17856 18135 18720 18910 19032 19101 19344 19440 19520 19764 19840 20088 20736 21060 21411 21762 21960 22320 22464 22692 23424 23790 23808 24180 24583 24705 24960 25110 25272 25376 25468 25792 25920 26352 26784 28080 28365 28548 29016 29280 29646 29760 29952 30132 30256 31104 31590 31720 31835 32240 32643 32940 33480 33696 34038 34560 35136 35685 35712 36270 37440 37665 37820 38064 38202 38688 38880 39040 39528 39680 40176 42120 42822 43524 43920 44640 44928 45384 46848 47580 48360 49166 49410 49920 50220 50544 50752 50936 51057 51584 51840 52704 53568 54405 56160 56730 57096 57303 58032 58560 59292 59520 60264 60512 62208 63180 63440 63670 64233 64480 65286 65880 66960 67392 68076 70272 71370 71424 72540 73749 74115 74880 75330 75640 76128 76404 77376 77760 78080 79056 80352 82771 84240 85095 85644 87048 87840 89280 89856 90768 95160 95505 96720 97929 98332 98820 100440 101088 101504 101872 102114 103168 103680 105408 107055 107136 108810 112320 113460 114192 114606 116064 117120 118584 119040 120528 121024 122915 126360 126880 127340 128466 128960 130572 131760 133920 134784 136152 140544 142740 145080 147498 148230 149760 150660 151280 152256 152808 153171 154752 155520 158112 160704 163215 165542 168480 170190 171288 171909 174096 175680 178560 181536 190320 191010 192699 193440 195858 196664 197377 197640 200880 202176 203008 203744 204228 210816 214110 214272 217620 221247 224640 226920 228384 229212 232128 234240 237168 241056 242048 245830 248313 252720 253760 254680 255285 256932 257920 261144 263520 267840 269568 272304 285480 286515 290160 294996 296460 301320 302560 304512 305616 306342 309504 311040 316224 321165 321408 326430 331084 336960 340380 342576 343818 348192 351360 357120 363072 368745 380640 382020 385398 386880 388387 391716 393328 394754 395280 401760 404352 407488 408456 413855 421632 428220 435240 442494 449280 453840 456768 458424 459513 464256 474336 482112 484096 489645 491660 496626 505440 507520 509360 510570 513864 515727 515840 522288 527040 535680 544608 570960 573030 580320 589992 592131 592920 602640 605120 609024 611232 612684 632448 642330 642816 652860 662168 663741 673920 680760 685152 687636 696384 702720 726144 737490 744939 761280 764040 765855 770796 773760 776774 783432 786656 789508 790560 803520 808704 814976 816912 827710 856440 859545 870480 884988 907680 913536 916848 919026 928512 948672 963495 964224 979290 983320 986885 993252 1010880 1015040 1018720 1021140 1027728 1031454 1044576 1054080 1071360 1089216 1106235 1141920 1146060 1160640 1165161 1179984 1184262 1185840 1205280 1210240 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3823148160 3837008880 3852799040 3877655808 3900959028 4026796416 4089715110 4092809472 4156759620 4226038947 4290848640 4334398920 4362362784 4433876928 4474218240 4623358848 4695598830 4847069760 4876198785 4907658132 4926529920 4988111544 5008638752 5033495520 5116011840 5149018368 5201278704 5452953480 5542346160 5634718596 5779198560 5816483712 5851438542 5911835904 6040194624 6134572665 6139214208 6235139430 6260798440 6436272960 6462759680 6501598380 6543544176 6650815392 6711327360 6821349120 6935038272 7043398245 7270604640 7389794880 7512958128 7550243280 7646296320 7674017760 7705598080 7801918056 8053592832 8179430220 8313519240 8452077894 8581697280 8668797840 8724725568 8867753856 9246717696 9391197660 9694139520 9752397570 9815316264 9853059840 9976223088 10017277504 10066991040 10232023680 10402557408 10905906960 11084692320 11269437192 11558397120 11632967424 11702877084 12080389248 12269145330 12278428416 12470278860 12521596880 12678116841 12872545920 13003196760 13087088352 13301630784 13422654720 13870076544 14086796490 14541209280 14628596355 14779589760 15025916256 15100486560 15348035520 15411196160 15603836112 16358860440 16627038480 16904155788 17337595680 17449451136 17735507712 18782395320 19388279040 19504795140 19630632528 19952446176 20034555008 20133982080 20464047360 20805114816 21130194735 21811813920 22169384640 22538874384 23116794240 23405754168 24160778496 24538290660 24940557720 25043193760 25356233682 25745091840 26006393520 26174176704 26603261568 27740153088 28173592980 29082418560 29257192710 29559179520 30051832512 30200973120 30696071040 31207672224 32717720880 33254076960 33808311576 34675191360 34898902272 37564790640 38034350523 39009590280 39261265056 39904892352 40069110016 40267964160 41610229632 42260389470 43623627840 44338769280 45077748768 46233588480 46811508336 49076581320 49881115440 50086387520 50712467364 52012787040 52348353408 53206523136 56347185960 58164837120 58514385420 60103665024 60401946240 61392142080 62415344448 63390584205 65435441760 66508153920 67616623152 69350382720 75129581280 76068701046 78019180560 78522530112 79809784704 83220459264 84520778940 87247255680 88677538560 90155497536 93623016672 98153162640 99762230880 100172775040 101424934728 104025574080 104696706816 112694371920 117028770840 120207330048 120803892480 124830688896 126781168410 130870883520 133016307840 135233246304 138700765440 150259162560 152137402092 156038361120 157045060224 159619569408 169041557880 174494511360 180310995072 187246033344 190171752615 196306325280 199524461760 200345550080 202849869456 208051148160 225388743840 234057541680 249661377792 253562336820 261741767040 266032615680 270466492608 300518325120 304274804184 312076722240 314090120448 338083115760 360621990144 374492066688 380343505230 392612650560 399048923520 405699738912 416102296320 450777487680 468115083360 507124673640 523483534080 540932985216 601036650240 608549608368 624153444480 676166231520 748984133376 760687010460 785225301120 798097847040 811399477824 901554975360 936230166720 1014249347280 1081865970432 1217099216736 1248306888960 1352332463040 1521374020920 1570450602240 1622798955648 1803109950720 1872460333440 2028498694560 2434198433472 2704664926080 3042748041840 3245597911296 3744920666880 4056997389120 4868396866944 5409329852160 6085496083680 8113994778240 9736793733888 12170992167360 16227989556480 24341984334720 48683968669440
- Sum of all divisors σ(n): 197399610949632
- Sum of proper divisors (its aliquot sum) s(n): 148715642280192
- 48683968669440 is an abundant number, because the sum of its proper divisors (148715642280192) is greater than itself. Its abundance is 100031673610752
Bases of 48683968669440
- Binary: 10110001000111000111101010100010100111000000002
- Hexadecimal: 0x2C471EA8A700
- Base-36: H993TYO00
Squares and roots of 48683968669440
- 48683968669440 squared (486839686694402) is 2370128805407015523989913600
- 48683968669440 cubed (486839686694403) is 115387276504972398237100658404972560384000
-
The
square root of 48683968669440 is 6977389.8177928973 -
The
cube root of 48683968669440 is 36514.2169348325
Scales and comparisons
How big is 48683968669440?- 48,683,968,669,440 seconds is equal to 1,547,999 years, 31 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 48,683,968,669,440 would take you about three million, eight hundred sixty-nine thousand, nine hundred ninety-nine 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 48683968669440 cubic inches would be around 3042.9 feet tall.
Recreational maths with 48683968669440
- 48683968669440 backwards is 04496686938684
- 48683968669440 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48683968669440's digits is 81
- More coming soon!
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"Number 48683968669440 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 48683968669440 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/48683968669440/
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The information we have on file for 48683968669440 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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