131828809728
131,828,809,728 is an even composite number composed of five prime numbers multiplied together.
131828809728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty-six divisors.
Prime factorization of 131828809728:
218 × 3 × 72 × 11 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 311)See below for interesting mathematical facts about the number 131828809728 from the Numbermatics database.
Names of 131828809728
- Cardinal: 131828809728 can be written as One hundred thirty-one billion, eight hundred twenty-eight million, eight hundred nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31828809728 × 1011
Factors of 131828809728
Divisors of 131828809728
- Number of divisors d(n): 456
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 128 132 147 154 168 176 192 196 224 231 256 264 294 308 311 336 352 384 392 448 462 512 528 539 588 616 622 672 704 768 784 896 924 933 1024 1056 1078 1176 1232 1244 1344 1408 1536 1568 1617 1792 1848 1866 2048 2112 2156 2177 2352 2464 2488 2688 2816 3072 3136 3234 3421 3584 3696 3732 4096 4224 4312 4354 4704 4928 4976 5376 5632 6144 6272 6468 6531 6842 7168 7392 7464 8192 8448 8624 8708 9408 9856 9952 10263 10752 11264 12288 12544 12936 13062 13684 14336 14784 14928 15239 16384 16896 17248 17416 18816 19712 19904 20526 21504 22528 23947 24576 25088 25872 26124 27368 28672 29568 29856 30478 32768 33792 34496 34832 37632 39424 39808 41052 43008 45056 45717 47894 49152 50176 51744 52248 54736 57344 59136 59712 60956 65536 67584 68992 69664 71841 75264 78848 79616 82104 86016 90112 91434 95788 98304 100352 103488 104496 109472 114688 118272 119424 121912 131072 135168 137984 139328 143682 150528 157696 159232 164208 167629 172032 180224 182868 191576 196608 200704 206976 208992 218944 229376 236544 238848 243824 262144 270336 275968 278656 287364 301056 315392 318464 328416 335258 344064 360448 365736 383152 393216 401408 413952 417984 437888 458752 473088 477696 487648 502887 540672 551936 557312 574728 602112 630784 636928 656832 670516 688128 720896 731472 766304 786432 802816 827904 835968 875776 917504 946176 955392 975296 1005774 1081344 1103872 1114624 1149456 1204224 1261568 1273856 1313664 1341032 1376256 1441792 1462944 1532608 1605632 1655808 1671936 1751552 1835008 1892352 1910784 1950592 2011548 2162688 2207744 2229248 2298912 2408448 2523136 2547712 2627328 2682064 2752512 2883584 2925888 3065216 3211264 3311616 3343872 3503104 3784704 3821568 3901184 4023096 4325376 4415488 4458496 4597824 4816896 5046272 5095424 5254656 5364128 5505024 5851776 6130432 6422528 6623232 6687744 7006208 7569408 7643136 7802368 8046192 8650752 8830976 8916992 9195648 9633792 10092544 10190848 10509312 10728256 11703552 12260864 12845056 13246464 13375488 14012416 15138816 15286272 15604736 16092384 17661952 17833984 18391296 19267584 20185088 20381696 21018624 21456512 23407104 24521728 26492928 26750976 28024832 30277632 30572544 31209472 32184768 35323904 35667968 36782592 38535168 40763392 42037248 42913024 46814208 49043456 52985856 53501952 56049664 60555264 61145088 62418944 64369536 70647808 71335936 73565184 81526784 84074496 85826048 93628416 98086912 105971712 107003904 112099328 122290176 124837888 128739072 141295616 142671872 147130368 168148992 171652096 187256832 196173824 211943424 214007808 224198656 244580352 249675776 257478144 285343744 294260736 336297984 343304192 374513664 392347648 423886848 428015616 448397312 499351552 514956288 570687488 588521472 672595968 686608384 749027328 784695296 856031232 896794624 998703104 1029912576 1177042944 1345191936 1373216768 1498054656 1569390592 1712062464 1997406208 2059825152 2354085888 2690383872 2746433536 2996109312 3138781184 3994812416 4119650304 4708171776 5492867072 5992218624 6277562368 8239300608 9416343552 10985734144 11984437248 16478601216 18832687104 21971468288 32957202432 43942936576 65914404864 131828809728
- Sum of all divisors σ(n): 447548160384
- Sum of proper divisors (its aliquot sum) s(n): 315719350656
- 131828809728 is an abundant number, because the sum of its proper divisors (315719350656) is greater than itself. Its abundance is 183890540928
Bases of 131828809728
- Binary: 11110101100011001110000000000000000002
- Hexadecimal: 0x1EB19C0000
- Base-36: 1OK7GWLC
Squares and roots of 131828809728
- 131828809728 squared (1318288097282) is 17378835074301227433984
- 131828809728 cubed (1318288097283) is 2291031142304349253951530416996352
-
The
square root of 131828809728 is 363082.3731992507 -
The
cube root of 131828809728 is 5089.4413067963
Scales and comparisons
How big is 131828809728?- 131,828,809,728 seconds is equal to 4,191 years, 38 weeks, 6 days, 9 hours, 48 minutes, 48 seconds.
-
To count from 1 to 131,828,809,728 would take you about eight thousand, three hundred eighty-three 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 131828809728 cubic inches would be around 424.1 feet tall.
Recreational maths with 131828809728
- 131828809728 backwards is 827908828131
- The number of decimal digits it has is: 12
- The sum of 131828809728's digits is 57
- More coming soon!
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