132621216
132,621,216 is an even composite number composed of seven prime numbers multiplied together.
132621216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 132621216:
25 × 3 × 7 × 13 × 17 × 19 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 17 × 19 × 47)See below for interesting mathematical facts about the number 132621216 from the Numbermatics database.
Names of 132621216
- Cardinal: 132621216 can be written as One hundred thirty-two million, six hundred twenty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.32621216 × 108
Factors of 132621216
Divisors of 132621216
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 19 21 24 26 28 32 34 38 39 42 47 48 51 52 56 57 68 76 78 84 91 94 96 102 104 112 114 119 133 136 141 152 156 168 182 188 204 208 221 224 228 238 247 266 272 273 282 304 312 323 329 336 357 364 376 399 408 416 442 456 476 494 532 544 546 564 608 611 624 646 658 663 672 714 728 741 752 798 799 816 884 893 912 952 969 987 988 1064 1092 1128 1222 1248 1292 1316 1326 1428 1456 1482 1504 1547 1596 1598 1632 1729 1768 1786 1824 1833 1904 1938 1974 1976 2128 2184 2256 2261 2397 2444 2584 2632 2652 2679 2856 2912 2964 3094 3192 3196 3458 3536 3572 3666 3808 3876 3948 3952 4199 4256 4277 4368 4512 4522 4641 4794 4888 5168 5187 5264 5304 5358 5593 5712 5928 6188 6251 6384 6392 6783 6916 7072 7144 7332 7752 7896 7904 8398 8554 8736 9044 9282 9588 9776 10336 10374 10387 10528 10608 10716 11186 11424 11609 11856 12376 12502 12597 12768 12784 12831 13566 13832 14288 14664 15181 15504 15792 16779 16796 17108 18088 18564 18753 19176 19552 20748 20774 21216 21432 22372 23218 23712 24752 25004 25194 25568 25662 27132 27664 28576 29328 29393 30362 31008 31161 31584 33558 33592 34216 34827 36176 37128 37506 38352 41496 41548 42864 44744 45543 46436 49504 50008 50388 51324 54264 55328 58656 58786 60724 62322 67116 67184 68432 69654 72352 72709 74256 75012 76704 81263 82992 83096 85728 88179 89488 91086 92872 100016 100776 102648 106267 108528 117572 121448 124644 134232 134368 136864 139308 145418 148512 150024 162526 165984 166192 176358 178976 182172 185744 197353 200032 201552 205296 212534 217056 218127 235144 242896 243789 249288 268464 278616 290836 300048 318801 325052 332384 352716 364344 371488 394706 403104 410592 425068 436254 470288 485792 487578 498576 536928 557232 581672 592059 600096 637602 650104 705432 728688 789412 850136 872508 940576 975156 997152 1114464 1163344 1184118 1275204 1300208 1381471 1410864 1457376 1578824 1700272 1745016 1950312 2326688 2368236 2550408 2600416 2762942 2821728 3157648 3400544 3490032 3900624 4144413 4736472 5100816 5525884 6315296 6980064 7801248 8288826 9472944 10201632 11051768 16577652 18945888 22103536 33155304 44207072 66310608 132621216
- Sum of all divisors σ(n): 487710720
- Sum of proper divisors (its aliquot sum) s(n): 355089504
- 132621216 is an abundant number, because the sum of its proper divisors (355089504) is greater than itself. Its abundance is 222468288
Bases of 132621216
- Binary: 1111110011110100011101000002
- Hexadecimal: 0x7E7A3A0
- Base-36: 26YJ6O
Squares and roots of 132621216
- 132621216 squared (1326212162) is 17588386933318656
- 132621216 cubed (1326212163) is 2332593262575231074205696
-
The
square root of 132621216 is 11516.1285161291 -
The
cube root of 132621216 is 509.9618272083
Scales and comparisons
How big is 132621216?- 132,621,216 seconds is equal to 4 years, 11 weeks, 1 day, 23 hours, 13 minutes, 36 seconds.
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To count from 1 to 132,621,216 would take you about six 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 132621216 cubic inches would be around 42.5 feet tall.
Recreational maths with 132621216
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