48315648000
48,315,648,000 is an even composite number composed of five prime numbers multiplied together.
48315648000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48315648000:
211 × 3 × 53 × 53 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 53 × 1187)See below for interesting mathematical facts about the number 48315648000 from the Numbermatics database.
Names of 48315648000
- Cardinal: 48315648000 can be written as Forty-eight billion, three hundred fifteen million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.8315648 × 1010
Factors of 48315648000
Divisors of 48315648000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 64 75 80 96 100 106 120 125 128 150 159 160 192 200 212 240 250 256 265 300 318 320 375 384 400 424 480 500 512 530 600 636 640 750 768 795 800 848 960 1000 1024 1060 1187 1200 1272 1280 1325 1500 1536 1590 1600 1696 1920 2000 2048 2120 2374 2400 2544 2560 2650 3000 3072 3180 3200 3392 3561 3840 3975 4000 4240 4748 4800 5088 5120 5300 5935 6000 6144 6360 6400 6625 6784 7122 7680 7950 8000 8480 9496 9600 10176 10240 10600 11870 12000 12720 12800 13250 13568 14244 15360 15900 16000 16960 17805 18992 19200 19875 20352 21200 23740 24000 25440 25600 26500 27136 28488 29675 30720 31800 32000 33920 35610 37984 38400 39750 40704 42400 47480 48000 50880 51200 53000 54272 56976 59350 62911 63600 64000 67840 71220 75968 76800 79500 81408 84800 89025 94960 96000 101760 106000 108544 113952 118700 125822 127200 128000 135680 142440 148375 151936 153600 159000 162816 169600 178050 188733 189920 192000 203520 212000 227904 237400 251644 254400 256000 271360 284880 296750 303872 314555 318000 325632 339200 356100 377466 379840 384000 407040 424000 445125 455808 474800 503288 508800 542720 569760 593500 607744 629110 636000 678400 712200 754932 759680 768000 814080 848000 890250 911616 943665 949600 1006576 1017600 1139520 1187000 1215488 1258220 1272000 1356800 1424400 1509864 1519360 1572775 1628160 1696000 1780500 1823232 1887330 1899200 2013152 2035200 2279040 2374000 2430976 2516440 2544000 2713600 2848800 3019728 3038720 3145550 3392000 3561000 3646464 3774660 3798400 4026304 4070400 4558080 4718325 4748000 5032880 5088000 5697600 6039456 6077440 6291100 6784000 7122000 7292928 7549320 7596800 7863875 8052608 8140800 9116160 9436650 9496000 10065760 10176000 11395200 12078912 12154880 12582200 13568000 14244000 15098640 15193600 15727750 16105216 18232320 18873300 18992000 20131520 20352000 22790400 23591625 24157824 25164400 28488000 30197280 30387200 31455500 32210432 36464640 37746600 37984000 40263040 40704000 45580800 47183250 48315648 50328800 56976000 60394560 60774400 62911000 64420864 75493200 75968000 80526080 91161600 94366500 96631296 100657600 113952000 120789120 125822000 128841728 150986400 151936000 161052160 182323200 188733000 193262592 201315200 227904000 241578240 251644000 301972800 303872000 322104320 377466000 386525184 402630400 455808000 483156480 503288000 603945600 644208640 754932000 805260800 911616000 966312960 1006576000 1207891200 1509864000 1610521600 1932625920 2013152000 2415782400 3019728000 3221043200 4026304000 4831564800 6039456000 8052608000 9663129600 12078912000 16105216000 24157824000 48315648000
- Sum of all divisors σ(n): 163926322560
- Sum of proper divisors (its aliquot sum) s(n): 115610674560
- 48315648000 is an abundant number, because the sum of its proper divisors (115610674560) is greater than itself. Its abundance is 67295026560
Bases of 48315648000
- Binary: 1011001111111101011001001000000000002
- Hexadecimal: 0xB3FD64800
- Base-36: M71W0LC
Squares and roots of 48315648000
- 48315648000 squared (483156480002) is 2334401841659904000000
- 48315648000 cubed (483156480003) is 112788137672191657377792000000000
-
The
square root of 48315648000 is 219808.2073080985 -
The
cube root of 48315648000 is 3642.1900438249
Scales and comparisons
How big is 48315648000?- 48,315,648,000 seconds is equal to 1,536 years, 14 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 48,315,648,000 would take you about three thousand and seventy-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 48315648000 cubic inches would be around 303.5 feet tall.
Recreational maths with 48315648000
- 48315648000 backwards is 00084651384
- The number of decimal digits it has is: 11
- The sum of 48315648000's digits is 39
- More coming soon!
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