13872128000
13,872,128,000 is an even composite number composed of five prime numbers multiplied together.
13872128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 13872128000:
213 × 53 × 19 × 23 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 23 × 31)See below for interesting mathematical facts about the number 13872128000 from the Numbermatics database.
Names of 13872128000
- Cardinal: 13872128000 can be written as Thirteen billion, eight hundred seventy-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3872128 × 1010
Factors of 13872128000
Divisors of 13872128000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 31 32 38 40 46 50 62 64 76 80 92 95 100 115 124 125 128 152 155 160 184 190 200 230 248 250 256 304 310 320 368 380 400 437 460 475 496 500 512 575 589 608 620 640 713 736 760 775 800 874 920 950 992 1000 1024 1150 1178 1216 1240 1280 1426 1472 1520 1550 1600 1748 1840 1900 1984 2000 2048 2185 2300 2356 2375 2432 2480 2560 2852 2875 2944 2945 3040 3100 3200 3496 3565 3680 3800 3875 3968 4000 4096 4370 4600 4712 4750 4864 4960 5120 5704 5750 5888 5890 6080 6200 6400 6992 7130 7360 7600 7750 7936 8000 8192 8740 9200 9424 9500 9728 9920 10240 10925 11408 11500 11776 11780 12160 12400 12800 13547 13984 14260 14720 14725 15200 15500 15872 16000 17480 17825 18400 18848 19000 19456 19840 20480 21850 22816 23000 23552 23560 24320 24800 25600 27094 27968 28520 29440 29450 30400 31000 31744 32000 34960 35650 36800 37696 38000 38912 39680 40960 43700 45632 46000 47104 47120 48640 49600 51200 54188 54625 55936 57040 58880 58900 60800 62000 63488 64000 67735 69920 71300 73600 73625 75392 76000 77824 79360 87400 89125 91264 92000 94208 94240 97280 99200 102400 108376 109250 111872 114080 117760 117800 121600 124000 126976 128000 135470 139840 142600 147200 147250 150784 152000 155648 158720 174800 178250 182528 184000 188416 188480 194560 198400 204800 216752 218500 223744 228160 235520 235600 243200 248000 253952 256000 270940 279680 285200 294400 294500 301568 304000 317440 338675 349600 356500 365056 368000 376960 389120 396800 433504 437000 447488 456320 471040 471200 486400 496000 512000 541880 559360 570400 588800 589000 603136 608000 634880 677350 699200 713000 730112 736000 753920 778240 793600 867008 874000 894976 912640 942080 942400 972800 992000 1024000 1083760 1118720 1140800 1177600 1178000 1206272 1216000 1269760 1354700 1398400 1426000 1460224 1472000 1507840 1587200 1693375 1734016 1748000 1789952 1825280 1884800 1945600 1984000 2167520 2237440 2281600 2355200 2356000 2412544 2432000 2709400 2796800 2852000 2920448 2944000 3015680 3174400 3386750 3468032 3496000 3579904 3650560 3769600 3891200 3968000 4335040 4474880 4563200 4710400 4712000 4825088 4864000 5418800 5593600 5704000 5840896 5888000 6031360 6348800 6773500 6936064 6992000 7301120 7539200 7936000 8670080 8949760 9126400 9424000 9728000 10837600 11187200 11408000 11776000 12062720 13547000 13872128 13984000 14602240 15078400 15872000 17340160 17899520 18252800 18848000 19456000 21675200 22374400 22816000 23552000 24125440 27094000 27744256 27968000 29204480 30156800 31744000 34680320 36505600 37696000 43350400 44748800 45632000 54188000 55488512 55936000 60313600 69360640 73011200 75392000 86700800 89497600 91264000 108376000 110977024 111872000 120627200 138721280 146022400 150784000 173401600 182528000 216752000 223744000 277442560 301568000 346803200 365056000 433504000 447488000 554885120 603136000 693606400 730112000 867008000 1387212800 1734016000 2774425600 3468032000 6936064000 13872128000
- Sum of all divisors σ(n): 39256289280
- Sum of proper divisors (its aliquot sum) s(n): 25384161280
- 13872128000 is an abundant number, because the sum of its proper divisors (25384161280) is greater than itself. Its abundance is 11512033280
Bases of 13872128000
- Binary: 11001110101101011111100000000000002
- Hexadecimal: 0x33AD7E000
- Base-36: 6DF3UGW
Squares and roots of 13872128000
- 13872128000 squared (138721280002) is 192435935248384000000
- 13872128000 cubed (138721280003) is 2669495925565294641152000000000
-
The
square root of 13872128000 is 117779.9983019189 -
The
cube root of 13872128000 is 2402.7819592321
Scales and comparisons
How big is 13872128000?- 13,872,128,000 seconds is equal to 441 years, 4 weeks, 5 days, 53 minutes, 20 seconds.
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To count from 1 to 13,872,128,000 would take you about eight hundred eighty-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 13872128000 cubic inches would be around 200.2 feet tall.
Recreational maths with 13872128000
- 13872128000 backwards is 00082127831
- 13872128000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13872128000's digits is 32
- More coming soon!
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