314990208
314,990,208 is an even composite number composed of five prime numbers multiplied together.
314990208 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 314990208:
27 × 35 × 13 × 19 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 41)See below for interesting mathematical facts about the number 314990208 from the Numbermatics database.
Names of 314990208
- Cardinal: 314990208 can be written as Three hundred fourteen million, nine hundred ninety thousand, two hundred eight.
Scientific notation
- Scientific notation: 3.14990208 × 108
Factors of 314990208
Divisors of 314990208
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 41 48 52 54 57 64 72 76 78 81 82 96 104 108 114 117 123 128 144 152 156 162 164 171 192 208 216 228 234 243 246 247 288 304 312 324 328 342 351 369 384 416 432 456 468 486 492 494 513 533 576 608 624 648 656 684 702 738 741 779 832 864 912 936 972 984 988 1026 1053 1066 1107 1152 1216 1248 1296 1312 1368 1404 1476 1482 1539 1558 1599 1664 1728 1824 1872 1944 1968 1976 2052 2106 2132 2214 2223 2337 2432 2496 2592 2624 2736 2808 2952 2964 3078 3116 3159 3198 3321 3456 3648 3744 3888 3936 3952 4104 4212 4264 4428 4446 4617 4674 4797 4992 5184 5248 5472 5616 5904 5928 6156 6232 6318 6396 6642 6669 7011 7296 7488 7776 7872 7904 8208 8424 8528 8856 8892 9234 9348 9594 9963 10127 10368 10944 11232 11808 11856 12312 12464 12636 12792 13284 13338 14022 14391 14976 15552 15744 15808 16416 16848 17056 17712 17784 18468 18696 19188 19926 20007 20254 21033 21888 22464 23616 23712 24624 24928 25272 25584 26568 26676 28044 28782 30381 31104 31616 32832 33696 34112 35424 35568 36936 37392 38376 39852 40014 40508 42066 43173 44928 47232 47424 49248 49856 50544 51168 53136 53352 56088 57564 60021 60762 63099 65664 67392 68224 70848 71136 73872 74784 76752 79704 80028 81016 84132 86346 91143 94848 98496 99712 101088 102336 106272 106704 112176 115128 120042 121524 126198 129519 134784 141696 142272 147744 149568 153504 159408 160056 162032 168264 172692 182286 189297 196992 202176 204672 212544 213408 224352 230256 240084 243048 252396 259038 273429 284544 295488 299136 307008 318816 320112 324064 336528 345384 364572 378594 404352 425088 426816 448704 460512 480168 486096 504792 518076 546858 590976 614016 637632 640224 648128 673056 690768 729144 757188 820287 853632 897408 921024 960336 972192 1009584 1036152 1093716 1275264 1280448 1296256 1346112 1381536 1458288 1514376 1640574 1842048 1920672 1944384 2019168 2072304 2187432 2460861 2560896 2692224 2763072 2916576 3028752 3281148 3841344 3888768 4038336 4144608 4374864 4921722 5526144 5833152 6057504 6562296 7682688 8076672 8289216 8749728 9843444 11666304 12115008 13124592 16578432 17499456 19686888 24230016 26249184 34998912 39373776 52498368 78747552 104996736 157495104 314990208
- Sum of all divisors σ(n): 1091563200
- Sum of proper divisors (its aliquot sum) s(n): 776572992
- 314990208 is an abundant number, because the sum of its proper divisors (776572992) is greater than itself. Its abundance is 461582784
Bases of 314990208
- Binary: 100101100011001011110100000002
- Hexadecimal: 0x12C65E80
- Base-36: 57JC00
Squares and roots of 314990208
- 314990208 squared (3149902082) is 99218831135883264
- 314990208 cubed (3149902083) is 31252960257008745591078912
-
The
square root of 314990208 is 17747.9634888063 -
The
cube root of 314990208 is 680.4021611867
Scales and comparisons
How big is 314990208?- 314,990,208 seconds is equal to 10 years, 5 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 314,990,208 would take you about fifteen 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 314990208 cubic inches would be around 56.7 feet tall.
Recreational maths with 314990208
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