106509312
106,509,312 is an even composite number composed of five prime numbers multiplied together.
106509312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 106509312:
210 × 32 × 7 × 13 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 127)See below for interesting mathematical facts about the number 106509312 from the Numbermatics database.
Names of 106509312
- Cardinal: 106509312 can be written as One hundred six million, five hundred nine thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.06509312 × 108
Factors of 106509312
Divisors of 106509312
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 127 128 144 156 168 182 192 208 224 234 252 254 256 273 288 312 336 364 381 384 416 448 468 504 508 512 546 576 624 672 728 762 768 819 832 889 896 936 1008 1016 1024 1092 1143 1152 1248 1344 1456 1524 1536 1638 1651 1664 1778 1792 1872 2016 2032 2184 2286 2304 2496 2667 2688 2912 3048 3072 3276 3302 3328 3556 3584 3744 4032 4064 4368 4572 4608 4953 4992 5334 5376 5824 6096 6552 6604 6656 7112 7168 7488 8001 8064 8128 8736 9144 9216 9906 9984 10668 10752 11557 11648 12192 13104 13208 13312 14224 14859 14976 16002 16128 16256 17472 18288 19812 19968 21336 21504 23114 23296 24384 26208 26416 28448 29718 29952 32004 32256 32512 34671 34944 36576 39624 39936 42672 46228 46592 48768 52416 52832 56896 59436 59904 64008 64512 65024 69342 69888 73152 79248 85344 92456 93184 97536 104013 104832 105664 113792 118872 119808 128016 130048 138684 139776 146304 158496 170688 184912 195072 208026 209664 211328 227584 237744 256032 277368 279552 292608 316992 341376 369824 390144 416052 419328 422656 455168 475488 512064 554736 585216 633984 682752 739648 832104 838656 845312 910336 950976 1024128 1109472 1170432 1267968 1365504 1479296 1664208 1690624 1901952 2048256 2218944 2535936 2731008 2958592 3328416 3803904 4096512 4437888 5071872 5917184 6656832 7607808 8193024 8875776 11834368 13313664 15215616 17751552 26627328 35503104 53254656 106509312
- Sum of all divisors σ(n): 381495296
- Sum of proper divisors (its aliquot sum) s(n): 274985984
- 106509312 is an abundant number, because the sum of its proper divisors (274985984) is greater than itself. Its abundance is 168476672
Bases of 106509312
- Binary: 1100101100100110100000000002
- Hexadecimal: 0x6593400
- Base-36: 1REV40
Squares and roots of 106509312
- 106509312 squared (1065093122) is 11344233542713344
- 106509312 cubed (1065093123) is 1208266509801720882659328
-
The
square root of 106509312 is 10320.3348782877 -
The
cube root of 106509312 is 474.0191200961
Scales and comparisons
How big is 106509312?- 106,509,312 seconds is equal to 3 years, 20 weeks, 17 hours, 55 minutes, 12 seconds.
-
To count from 1 to 106,509,312 would take you about 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 106509312 cubic inches would be around 39.5 feet tall.
Recreational maths with 106509312
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