214017216
214,017,216 is an even composite number composed of six prime numbers multiplied together.
214017216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 214017216:
26 × 3 × 7 × 172 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 17 × 19 × 29)See below for interesting mathematical facts about the number 214017216 from the Numbermatics database.
Names of 214017216
- Cardinal: 214017216 can be written as Two hundred fourteen million, seventeen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.14017216 × 108
Factors of 214017216
Divisors of 214017216
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 29 32 34 38 42 48 51 56 57 58 64 68 76 84 87 96 102 112 114 116 119 133 136 152 168 174 192 203 204 224 228 232 238 266 272 289 304 323 336 348 357 399 406 408 448 456 464 476 493 532 544 551 578 608 609 646 672 696 714 798 812 816 867 912 928 952 969 986 1064 1088 1102 1156 1216 1218 1292 1344 1392 1428 1479 1596 1624 1632 1653 1734 1824 1856 1904 1938 1972 2023 2128 2204 2261 2312 2436 2584 2784 2856 2958 3192 3248 3264 3306 3451 3468 3648 3808 3857 3876 3944 4046 4256 4408 4522 4624 4872 5168 5491 5568 5712 5916 6069 6384 6496 6612 6783 6902 6936 7616 7714 7752 7888 8092 8381 8512 8816 9044 9248 9367 9744 10336 10353 10982 11424 11571 11832 12138 12768 12992 13224 13566 13804 13872 15428 15504 15776 16184 16473 16762 17632 18088 18496 18734 19488 20672 20706 21964 22848 23142 23664 24276 25143 25536 26448 27132 27608 27744 28101 30856 31008 31552 32368 32946 33524 35264 36176 37468 38437 38976 41412 43928 46284 47328 48552 50286 52896 54264 55216 55488 56202 58667 61712 62016 64736 65569 65892 67048 72352 74936 76874 82824 87856 92568 94656 97104 100572 105792 108528 110432 112404 115311 117334 123424 129472 131138 131784 134096 144704 149872 153748 159239 165648 175712 176001 185136 194208 196707 201144 217056 220864 224808 230622 234668 246848 262276 263568 268192 299744 307496 318478 331296 351424 352002 370272 388416 393414 402288 434112 449616 461244 469336 477717 524552 527136 536384 599488 614992 636956 662592 704004 740544 786828 804576 899232 922488 938672 955434 1049104 1054272 1114673 1229984 1273912 1408008 1573656 1609152 1798464 1844976 1877344 1910868 2098208 2229346 2459968 2547824 2816016 3147312 3344019 3689952 3754688 3821736 4196416 4458692 5095648 5632032 6294624 6688038 7379904 7643472 8917384 10191296 11264064 12589248 13376076 15286944 17834768 26752152 30573888 35669536 53504304 71339072 107008608 214017216
- Sum of all divisors σ(n): 748588800
- Sum of proper divisors (its aliquot sum) s(n): 534571584
- 214017216 is an abundant number, because the sum of its proper divisors (534571584) is greater than itself. Its abundance is 320554368
Bases of 214017216
- Binary: 11001100000110100100110000002
- Hexadecimal: 0xCC1A4C0
- Base-36: 3JF4QO
Squares and roots of 214017216
- 214017216 squared (2140172162) is 45803368744390656
- 214017216 cubed (2140172163) is 9802709462095903813533696
-
The
square root of 214017216 is 14629.3272572597 -
The
cube root of 214017216 is 598.1584424479
Scales and comparisons
How big is 214017216?- 214,017,216 seconds is equal to 6 years, 41 weeks, 6 days, 1 hour, 13 minutes, 36 seconds.
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To count from 1 to 214,017,216 would take you about ten 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 214017216 cubic inches would be around 49.8 feet tall.
Recreational maths with 214017216
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