10048680557440
10,048,680,557,440 is an even composite number composed of six prime numbers multiplied together.
10048680557440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 10048680557440:
27 × 5 × 7 × 172 × 293 × 26489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 17 × 293 × 26489)See below for interesting mathematical facts about the number 10048680557440 from the Numbermatics database.
Names of 10048680557440
- Cardinal: 10048680557440 can be written as Ten trillion, forty-eight billion, six hundred eighty million, five hundred fifty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.004868055744 × 1013
Factors of 10048680557440
Divisors of 10048680557440
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 289 293 320 340 448 476 544 560 578 586 595 640 680 896 952 1088 1120 1156 1172 1190 1360 1445 1465 1904 2023 2051 2176 2240 2312 2344 2380 2720 2890 2930 3808 4046 4102 4480 4624 4688 4760 4981 5440 5780 5860 7616 8092 8204 9248 9376 9520 9962 10115 10255 10880 11560 11720 15232 16184 16408 18496 18752 19040 19924 20230 20510 23120 23440 24905 26489 32368 32816 34867 36992 37504 38080 39848 40460 41020 46240 46880 49810 52978 64736 65632 69734 76160 79696 80920 82040 84677 92480 93760 99620 105956 129472 131264 132445 139468 159392 161840 164080 169354 174335 184960 185423 187520 199240 211912 258944 262528 264890 278936 318784 323680 328160 338708 348670 370846 398480 423385 423824 450313 529780 557872 592739 637568 647360 656320 677416 697340 741692 796960 846770 847648 900626 927115 1059560 1115744 1185478 1294720 1312640 1354832 1394680 1483384 1593920 1693540 1695296 1801252 1854230 2119120 2231488 2251565 2370956 2709664 2789360 2963695 2966768 3152191 3187840 3387080 3390592 3602504 3708460 4238240 4462976 4503130 4741912 5419328 5578720 5927390 5933536 6304382 6774160 7205008 7416920 7655321 7761277 8476480 9006260 9483824 10838656 11157440 11854780 11867072 12608764 13548320 14410016 14833840 15310642 15522554 15760955 16952960 18012520 18967648 22314880 23709560 23734144 25217528 27096640 28820032 29667680 30621284 31045108 31521910 36025040 37935296 38276605 38806385 47419120 50435056 53587247 54193280 54328939 57640064 59335360 61242568 62090216 63043820 72050080 75870592 76553210 77612770 94838240 100870112 107174494 108657878 118670720 122485136 124180432 126087640 131941709 144100160 153106420 155225540 189676480 201740224 214348988 217315756 244970272 248360864 252175280 263883418 267936235 271644695 288200320 306212840 310451080 379352960 403480448 428697976 434631512 489940544 496721728 504350560 527766836 535872470 543289390 612425680 620902160 659708545 857395952 869263024 923591963 979881088 993443456 1008701120 1055533672 1071744940 1086578780 1224851360 1241804320 1319417090 1714791904 1738526048 1847183926 2017402240 2111067344 2143489880 2173157560 2243009053 2449702720 2483608640 2638834180 3429583808 3477052096 3694367852 4222134688 4286979760 4346315120 4486018106 4617959815 4899405440 4967217280 5277668360 6859167616 6954104192 7388735704 8444269376 8573959520 8692630240 8972036212 9235919630 10555336720 11215045265 14777471408 15701063371 16888538752 17147919040 17385260480 17944072424 18471839260 21110673440 22430090530 29554942816 31402126742 34295838080 34770520960 35888144848 36943678520 42221346880 44860181060 59109885632 62804253484 71776289696 73887357040 78505316855 84442693760 89720362120 118219771264 125608506968 143552579392 147774714080 157010633710 179440724240 251217013936 287105158784 295549428160 314021267420 358881448480 502434027872 591098856320 628042534840 717762896960 1004868055744 1256085069680 1435525793920 2009736111488 2512170139360 5024340278720 10048680557440
- Sum of all divisors σ(n): 29265037300800
- Sum of proper divisors (its aliquot sum) s(n): 19216356743360
- 10048680557440 is an abundant number, because the sum of its proper divisors (19216356743360) is greater than itself. Its abundance is 9167676185920
Bases of 10048680557440
- Binary: 100100100011101001000000100011111011100000002
- Hexadecimal: 0x923A408FB80
- Base-36: 3K8ASYD8G
Squares and roots of 10048680557440
- 10048680557440 squared (100486805574402) is 100975980945472669139353600
- 10048680557440 cubed (100486805574403) is 1014675376495203119171524418289270784000
-
The
square root of 10048680557440 is 3169965.3874198689 -
The
cube root of 10048680557440 is 21579.2500185571
Scales and comparisons
How big is 10048680557440?- 10,048,680,557,440 seconds is equal to 319,516 years, 49 weeks, 6 days, 2 hours, 50 minutes, 40 seconds.
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To count from 1 to 10,048,680,557,440 would take you about seven hundred ninety-eight thousand, seven hundred ninety-two 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 10048680557440 cubic inches would be around 1798.3 feet tall.
Recreational maths with 10048680557440
- 10048680557440 backwards is 04475508684001
- The number of decimal digits it has is: 14
- The sum of 10048680557440's digits is 52
- More coming soon!
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