131680640
131,680,640 is an even composite number composed of six prime numbers multiplied together.
131680640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 131680640:
27 × 5 × 72 × 13 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 17 × 19)See below for interesting mathematical facts about the number 131680640 from the Numbermatics database.
Names of 131680640
- Cardinal: 131680640 can be written as One hundred thirty-one million, six hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3168064 × 108
Factors of 131680640
Divisors of 131680640
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 19 20 26 28 32 34 35 38 40 49 52 56 64 65 68 70 76 80 85 91 95 98 104 112 119 128 130 133 136 140 152 160 170 182 190 196 208 221 224 238 245 247 260 266 272 280 304 320 323 340 364 380 392 416 442 448 455 476 490 494 520 532 544 560 595 608 637 640 646 665 680 728 760 784 832 833 884 896 910 931 952 980 988 1040 1064 1088 1105 1120 1190 1216 1235 1274 1292 1330 1360 1456 1520 1547 1568 1615 1664 1666 1729 1768 1820 1862 1904 1960 1976 2080 2128 2176 2210 2240 2261 2380 2432 2470 2548 2584 2660 2720 2912 3040 3094 3136 3185 3230 3332 3458 3536 3640 3724 3808 3920 3952 4160 4165 4199 4256 4420 4480 4522 4655 4760 4940 5096 5168 5320 5440 5824 6080 6188 6272 6370 6460 6664 6916 7072 7280 7448 7616 7735 7840 7904 8320 8330 8398 8512 8645 8840 9044 9310 9520 9880 10192 10336 10640 10829 10880 11305 11648 12103 12160 12376 12740 12920 13328 13832 14144 14560 14896 15232 15470 15680 15808 15827 16660 16796 17024 17290 17680 18088 18620 19040 19760 20384 20672 20995 21280 21658 22610 24206 24752 25480 25840 26656 27664 28288 29120 29393 29792 30940 31360 31616 31654 33320 33592 34580 35360 36176 37240 38080 39520 40768 41344 41990 42560 43316 45220 48412 49504 50960 51680 53312 54145 55328 58240 58786 59584 60515 61880 63308 66640 67184 69160 70720 72352 74480 76160 79040 79135 81536 83980 85120 86632 90440 96824 99008 101920 103360 106624 108290 110656 117572 119168 121030 123760 126616 133280 134368 138320 141440 144704 146965 148960 158080 158270 167960 173264 180880 193648 198016 203840 205751 206720 216580 221312 235144 242060 247520 253232 266560 268736 276640 289408 293930 297920 316540 335920 346528 361760 387296 407680 411502 433160 470288 484120 495040 506464 533120 537472 553280 587860 595840 633080 671840 693056 723520 774592 823004 866320 940576 968240 990080 1012928 1028755 1106560 1175720 1266160 1343680 1386112 1447040 1549184 1646008 1732640 1881152 1936480 2025856 2057510 2351440 2532320 2687360 3292016 3465280 3762304 3872960 4115020 4702880 5064640 6584032 6930560 7745920 8230040 9405760 10129280 13168064 16460080 18811520 26336128 32920160 65840320 131680640
- Sum of all divisors σ(n): 439538400
- Sum of proper divisors (its aliquot sum) s(n): 307857760
- 131680640 is an abundant number, because the sum of its proper divisors (307857760) is greater than itself. Its abundance is 176177120
Bases of 131680640
- Binary: 1111101100101001001100000002
- Hexadecimal: 0x7D94980
- Base-36: 26EDFK
Squares and roots of 131680640
- 131680640 squared (1316806402) is 17339790950809600
- 131680640 cubed (1316806403) is 2283314769868816646144000
-
The
square root of 131680640 is 11475.2185164379 -
The
cube root of 131680640 is 508.7533823301
Scales and comparisons
How big is 131680640?- 131,680,640 seconds is equal to 4 years, 9 weeks, 5 days, 1 hour, 57 minutes, 20 seconds.
-
To count from 1 to 131,680,640 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 131680640 cubic inches would be around 42.4 feet tall.
Recreational maths with 131680640
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