48128117078400
48,128,117,078,400 is an even composite number composed of six prime numbers multiplied together.
48128117078400 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 48128117078400:
27 × 3 × 52 × 19 × 331 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 331 × 797161)See below for interesting mathematical facts about the number 48128117078400 from the Numbermatics database.
Names of 48128117078400
- Cardinal: 48128117078400 can be written as Forty-eight trillion, one hundred twenty-eight billion, one hundred seventeen million, seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.81281170784 × 1013
Factors of 48128117078400
Divisors of 48128117078400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 128 150 152 160 190 192 200 228 240 285 300 304 320 331 380 384 400 456 475 480 570 600 608 640 662 760 800 912 950 960 993 1140 1200 1216 1324 1425 1520 1600 1655 1824 1900 1920 1986 2280 2400 2432 2648 2850 3040 3200 3310 3648 3800 3972 4560 4800 4965 5296 5700 6080 6289 6620 7296 7600 7944 8275 9120 9600 9930 10592 11400 12160 12578 13240 15200 15888 16550 18240 18867 19860 21184 22800 24825 25156 26480 30400 31445 31776 33100 36480 37734 39720 42368 45600 49650 50312 52960 60800 62890 63552 66200 75468 79440 91200 94335 99300 100624 105920 125780 127104 132400 150936 157225 158880 182400 188670 198600 201248 211840 251560 264800 301872 314450 317760 377340 397200 402496 471675 503120 529600 603744 628900 635520 754680 794400 797161 804992 943350 1006240 1059200 1207488 1257800 1509360 1588800 1594322 1886700 2012480 2391483 2414976 2515600 3018720 3177600 3188644 3773400 3985805 4024960 4782966 5031200 6037440 6377288 7546800 7971610 9565932 10062400 11957415 12074880 12754576 15093600 15146059 15943220 19131864 19929025 20124800 23914830 25509152 30187200 30292118 31886440 38263728 39858050 45438177 47829660 51018304 59787075 60374400 60584236 63772880 75730295 76527456 79716100 90876354 95659320 102036608 119574150 121168472 127545760 151460590 153054912 159432200 181752708 191318640 227190885 239148300 242336944 255091520 263860291 302921180 306109824 318864400 363505416 378651475 382637280 454381770 478296600 484673888 510183040 527720582 605842360 637728800 727010832 757302950 765274560 791580873 908763540 956593200 969347776 1055441164 1135954425 1211684720 1275457600 1319301455 1454021664 1514605900 1530549120 1583161746 1817527080 1913186400 1938695552 2110882328 2271908850 2423369440 2550915200 2638602910 2908043328 3029211800 3166323492 3635054160 3826372800 3957904365 4221764656 4543817700 4846738880 5013345529 5277205820 5816086656 6058423600 6332646984 6596507275 7270108320 7652745600 7915808730 8443529312 9087635400 9693477760 10026691058 10554411640 12116847200 12665293968 13193014550 14540216640 15040036587 15831617460 16887058624 18175270800 19789521825 20053382116 21108823280 24233694400 25066727645 25330587936 26386029100 29080433280 30080073174 31663234920 33774117248 36350541600 39579043650 40106764232 42217646560 48467388800 50133455290 50661175872 52772058200 60160146348 63326469840 72701083200 75200182935 79158087300 80213528464 84435293120 100266910580 101322351744 105544116400 120320292696 125333638225 126652939680 145402166400 150400365870 158316174600 160427056928 168870586240 200533821160 211088232800 240640585392 250667276450 253305879360 300800731740 316632349200 320854113856 376000914675 401067642320 422176465600 481281170784 501334552900 506611758720 601601463480 633264698400 641708227712 752001829350 802135284640 844352931200 962562341568 1002669105800 1203202926960 1266529396800 1504003658700 1604270569280 1925124683136 2005338211600 2406405853920 2533058793600 3008007317400 3208541138560 4010676423200 4812811707840 6016014634800 8021352846400 9625623415680 12032029269600 16042705692800 24064058539200 48128117078400
- Sum of all divisors σ(n): 167369582601600
- Sum of proper divisors (its aliquot sum) s(n): 119241465523200
- 48128117078400 is an abundant number, because the sum of its proper divisors (119241465523200) is greater than itself. Its abundance is 71113348444800
Bases of 48128117078400
- Binary: 10101111000101101100110101001001111001100000002
- Hexadecimal: 0x2BC5B3527980
- Base-36: H25R29ZEO
Squares and roots of 48128117078400
- 48128117078400 squared (481281170784002) is 2316315653512177751746560000
- 48128117078400 cubed (481281170784003) is 111479910962764698996210129764450304000000
-
The
square root of 48128117078400 is 6937443.1225344111 -
The
cube root of 48128117078400 is 36374.7170457693
Scales and comparisons
How big is 48128117078400?- 48,128,117,078,400 seconds is equal to 1,530,325 years, 13 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 48,128,117,078,400 would take you about three million, eight hundred twenty-five thousand, eight hundred thirteen 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 48128117078400 cubic inches would be around 3031.2 feet tall.
Recreational maths with 48128117078400
- 48128117078400 backwards is 00487071182184
- The number of decimal digits it has is: 14
- The sum of 48128117078400's digits is 51
- More coming soon!
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