132993840
132,993,840 is an even composite number composed of six prime numbers multiplied together.
132993840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 132993840:
24 × 3 × 5 × 72 × 43 × 263
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 43 × 263)See below for interesting mathematical facts about the number 132993840 from the Numbermatics database.
Names of 132993840
- Cardinal: 132993840 can be written as One hundred thirty-two million, nine hundred ninety-three thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3299384 × 108
Factors of 132993840
Divisors of 132993840
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 49 56 60 70 80 84 86 98 105 112 120 129 140 147 168 172 196 210 215 240 245 258 263 280 294 301 336 344 392 420 430 490 516 526 560 588 602 645 688 735 784 789 840 860 903 980 1032 1052 1176 1204 1290 1315 1470 1505 1578 1680 1720 1806 1841 1960 2064 2104 2107 2352 2408 2580 2630 2940 3010 3156 3440 3612 3682 3920 3945 4208 4214 4515 4816 5160 5260 5523 5880 6020 6312 6321 7224 7364 7890 8428 9030 9205 10320 10520 10535 11046 11309 11760 12040 12624 12642 12887 14448 14728 15780 16856 18060 18410 21040 21070 22092 22618 24080 25284 25774 27615 29456 31560 31605 33712 33927 36120 36820 38661 42140 44184 45236 50568 51548 55230 56545 63120 63210 64435 67854 72240 73640 77322 79163 84280 88368 90472 101136 103096 110460 113090 126420 128870 135708 147280 154644 158326 168560 169635 180944 193305 206192 220920 226180 237489 252840 257740 271416 309288 316652 339270 386610 395815 441840 452360 474978 505680 515480 542832 554141 618576 633304 678540 773220 791630 904720 949956 1030960 1108282 1187445 1266608 1357080 1546440 1583260 1662423 1899912 2216564 2374890 2714160 2770705 3092880 3166520 3324846 3799824 4433128 4749780 5541410 6333040 6649692 8312115 8866256 9499560 11082820 13299384 16624230 18999120 22165640 26598768 33248460 44331280 66496920 132993840
- Sum of all divisors σ(n): 492611328
- Sum of proper divisors (its aliquot sum) s(n): 359617488
- 132993840 is an abundant number, because the sum of its proper divisors (359617488) is greater than itself. Its abundance is 226623648
Bases of 132993840
- Binary: 1111110110101010011001100002
- Hexadecimal: 0x7ED5330
- Base-36: 276IPC
Squares and roots of 132993840
- 132993840 squared (1329938402) is 17687361477945600
- 132993840 cubed (1329938403) is 2352310122420060655104000
-
The
square root of 132993840 is 11532.2955217077 -
The
cube root of 132993840 is 510.4389914951
Scales and comparisons
How big is 132993840?- 132,993,840 seconds is equal to 4 years, 11 weeks, 6 days, 6 hours, 44 minutes.
-
To count from 1 to 132,993,840 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 132993840 cubic inches would be around 42.5 feet tall.
Recreational maths with 132993840
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