131382681600
131,382,681,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 131382681600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
131382681600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 131382681600:
213 × 3 × 52 × 43 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 43 × 4973)See below for interesting mathematical facts about the number 131382681600 from the Numbermatics database.
Names of 131382681600
- Cardinal: 131382681600 can be written as One hundred thirty-one billion, three hundred eighty-two million, six hundred eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.313826816 × 1011
Factors of 131382681600
Divisors of 131382681600
- Number of divisors d(n): 336
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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 43 48 50 60 64 75 80 86 96 100 120 128 129 150 160 172 192 200 215 240 256 258 300 320 344 384 400 430 480 512 516 600 640 645 688 768 800 860 960 1024 1032 1075 1200 1280 1290 1376 1536 1600 1720 1920 2048 2064 2150 2400 2560 2580 2752 3072 3200 3225 3440 3840 4096 4128 4300 4800 4973 5120 5160 5504 6144 6400 6450 6880 7680 8192 8256 8600 9600 9946 10240 10320 11008 12288 12800 12900 13760 14919 15360 16512 17200 19200 19892 20480 20640 22016 24576 24865 25600 25800 27520 29838 30720 33024 34400 38400 39784 40960 41280 44032 49730 51200 51600 55040 59676 61440 66048 68800 74595 76800 79568 82560 88064 99460 102400 103200 110080 119352 122880 124325 132096 137600 149190 153600 159136 165120 176128 198920 204800 206400 213839 220160 238704 248650 264192 275200 298380 307200 318272 330240 352256 372975 397840 412800 427678 440320 477408 497300 528384 550400 596760 614400 636544 641517 660480 745950 795680 825600 855356 880640 954816 994600 1056768 1069195 1100800 1193520 1273088 1283034 1320960 1491900 1591360 1651200 1710712 1761280 1909632 1989200 2138390 2201600 2387040 2546176 2566068 2641920 2983800 3182720 3207585 3302400 3421424 3819264 3978400 4276780 4403200 4774080 5092352 5132136 5283840 5345975 5967600 6365440 6415170 6604800 6842848 7638528 7956800 8553560 8806400 9548160 10184704 10264272 10691950 11935200 12730880 12830340 13209600 13685696 15277056 15913600 16037925 17107120 19096320 20369408 20528544 21383900 23870400 25461760 25660680 26419200 27371392 30554112 31827200 32075850 34214240 38192640 40738816 41057088 42767800 47740800 50923520 51321360 54742784 61108224 63654400 64151700 68428480 76385280 82114176 85535600 95481600 101847040 102642720 109485568 122216448 127308800 128303400 136856960 152770560 164228352 171071200 190963200 203694080 205285440 218971136 254617600 256606800 273713920 305541120 328456704 342142400 381926400 410570880 437942272 509235200 513213600 547427840 611082240 656913408 684284800 763852800 821141760 875884544 1018470400 1026427200 1094855680 1313826816 1368569600 1527705600 1642283520 1751769088 2052854400 2189711360 2627653632 2737139200 3055411200 3284567040 4105708800 4379422720 5255307264 5474278400 6569134080 8211417600 8758845440 10948556800 13138268160 16422835200 21897113600 26276536320 32845670400 43794227200 65691340800 131382681600
- Sum of all divisors σ(n): 444604213152
- Sum of proper divisors (its aliquot sum) s(n): 313221531552
- 131382681600 is an abundant number, because the sum of its proper divisors (313221531552) is greater than itself. Its abundance is 181838849952
Bases of 131382681600
- Binary: 11110100101110000010010100000000000002
- Hexadecimal: 0x1E9704A000
- Base-36: 1OCTUTXC
Squares and roots of 131382681600
- 131382681600 squared (1313826816002) is 17261409024406978560000
- 131382681600 cubed (1313826816003) is 2267850205821028692966506496000000
-
The
square root of 131382681600 is 362467.4904043119 -
The
cube root of 131382681600 is 5083.6936783943
Scales and comparisons
How big is 131382681600?- 131,382,681,600 seconds is equal to 4,177 years, 29 weeks, 1 day, 21 hours, 20 minutes.
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To count from 1 to 131,382,681,600 would take you about eight thousand, three hundred fifty-five 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 131382681600 cubic inches would be around 423.6 feet tall.
Recreational maths with 131382681600
- 131382681600 backwards is 006186283131
- The number of decimal digits it has is: 12
- The sum of 131382681600's digits is 39
- More coming soon!
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