131114880
131,114,880 is an even composite number composed of six prime numbers multiplied together.
131114880 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 131114880:
27 × 32 × 5 × 13 × 17 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 17 × 103)See below for interesting mathematical facts about the number 131114880 from the Numbermatics database.
Names of 131114880
- Cardinal: 131114880 can be written as One hundred thirty-one million, one hundred fourteen thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3111488 × 108
Factors of 131114880
Divisors of 131114880
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 30 32 34 36 39 40 45 48 51 52 60 64 65 68 72 78 80 85 90 96 102 103 104 117 120 128 130 136 144 153 156 160 170 180 192 195 204 206 208 221 234 240 255 260 272 288 306 309 312 320 340 360 384 390 408 412 416 442 468 480 510 515 520 544 576 585 612 618 624 640 663 680 720 765 780 816 824 832 884 927 936 960 1020 1030 1040 1088 1105 1152 1170 1224 1236 1248 1326 1339 1360 1440 1530 1545 1560 1632 1648 1664 1751 1768 1854 1872 1920 1989 2040 2060 2080 2176 2210 2340 2448 2472 2496 2652 2678 2720 2880 3060 3090 3120 3264 3296 3315 3502 3536 3708 3744 3978 4017 4080 4120 4160 4420 4635 4680 4896 4944 4992 5253 5304 5356 5440 5760 6120 6180 6240 6528 6592 6630 6695 7004 7072 7416 7488 7956 8034 8160 8240 8320 8755 8840 9270 9360 9792 9888 9945 10506 10608 10712 10880 12051 12240 12360 12480 13184 13260 13390 14008 14144 14832 14976 15759 15912 16068 16320 16480 17510 17680 18540 18720 19584 19776 19890 20085 21012 21216 21424 22763 24102 24480 24720 24960 26265 26520 26780 28016 28288 29664 31518 31824 32136 32640 32960 35020 35360 37080 37440 39552 39780 40170 42024 42432 42848 45526 48204 48960 49440 52530 53040 53560 56032 59328 60255 63036 63648 64272 65920 68289 70040 70720 74160 74880 78795 79560 80340 84048 84864 85696 91052 96408 97920 98880 105060 106080 107120 112064 113815 118656 120510 126072 127296 128544 136578 140080 141440 148320 157590 159120 160680 168096 171392 182104 192816 197760 204867 210120 212160 214240 224128 227630 241020 252144 254592 257088 273156 280160 296640 315180 318240 321360 336192 341445 364208 385632 409734 420240 424320 428480 455260 482040 504288 514176 546312 560320 593280 630360 636480 642720 672384 682890 728416 771264 819468 840480 856960 910520 964080 1008576 1024335 1092624 1120640 1260720 1272960 1285440 1365780 1456832 1542528 1638936 1680960 1821040 1928160 2017152 2048670 2185248 2521440 2570880 2731560 2913664 3277872 3361920 3642080 3856320 4097340 4370496 5042880 5463120 6555744 7284160 7712640 8194680 8740992 10085760 10926240 13111488 14568320 16389360 21852480 26222976 32778720 43704960 65557440 131114880
- Sum of all divisors σ(n): 521277120
- Sum of proper divisors (its aliquot sum) s(n): 390162240
- 131114880 is an abundant number, because the sum of its proper divisors (390162240) is greater than itself. Its abundance is 259047360
Bases of 131114880
- Binary: 1111101000010100111100000002
- Hexadecimal: 0x7D0A780
- Base-36: 2628W0
Squares and roots of 131114880
- 131114880 squared (1311148802) is 17191111757414400
- 131114880 cubed (1311148803) is 2254010555139978166272000
-
The
square root of 131114880 is 11450.5405985919 -
The
cube root of 131114880 is 508.0237242727
Scales and comparisons
How big is 131114880?- 131,114,880 seconds is equal to 4 years, 8 weeks, 5 days, 12 hours, 48 minutes.
-
To count from 1 to 131,114,880 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 131114880 cubic inches would be around 42.3 feet tall.
Recreational maths with 131114880
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