314138880
314,138,880 is an even composite number composed of six prime numbers multiplied together.
314138880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 314138880:
28 × 32 × 5 × 11 × 37 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 37 × 67)See below for interesting mathematical facts about the number 314138880 from the Numbermatics database.
Names of 314138880
- Cardinal: 314138880 can be written as Three hundred fourteen million, one hundred thirty-eight thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 3.1413888 × 108
Factors of 314138880
Divisors of 314138880
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 37 40 44 45 48 55 60 64 66 67 72 74 80 88 90 96 99 110 111 120 128 132 134 144 148 160 165 176 180 185 192 198 201 220 222 240 256 264 268 288 296 320 330 333 335 352 360 370 384 396 402 407 440 444 480 495 528 536 555 576 592 603 640 660 666 670 704 720 737 740 768 792 804 814 880 888 960 990 1005 1056 1072 1110 1152 1184 1206 1221 1280 1320 1332 1340 1408 1440 1474 1480 1584 1608 1628 1665 1760 1776 1920 1980 2010 2035 2112 2144 2211 2220 2304 2368 2412 2442 2479 2640 2664 2680 2816 2880 2948 2960 3015 3168 3216 3256 3330 3520 3552 3663 3685 3840 3960 4020 4070 4224 4288 4422 4440 4736 4824 4884 4958 5280 5328 5360 5760 5896 5920 6030 6105 6336 6432 6512 6633 6660 7040 7104 7326 7370 7437 7920 8040 8140 8448 8576 8844 8880 9472 9648 9768 9916 10560 10656 10720 11055 11520 11792 11840 12060 12210 12395 12672 12864 13024 13266 13320 14080 14208 14652 14740 14874 15840 16080 16280 17152 17688 17760 18315 19296 19536 19832 21120 21312 21440 22110 22311 23584 23680 24120 24420 24790 25344 25728 26048 26532 26640 27269 28416 29304 29480 29748 31680 32160 32560 33165 35376 35520 36630 37185 38592 39072 39664 42240 42624 42880 44220 44622 47168 47360 48240 48840 49580 51456 52096 53064 53280 54538 58608 58960 59496 63360 64320 65120 66330 70752 71040 73260 74370 77184 78144 79328 81807 85248 85760 88440 89244 94336 96480 97680 99160 104192 106128 106560 109076 111555 117216 117920 118992 126720 128640 130240 132660 136345 141504 142080 146520 148740 154368 156288 158656 163614 176880 178488 188672 192960 195360 198320 212256 213120 218152 223110 234432 235840 237984 245421 257280 260480 265320 272690 283008 293040 297480 312576 317312 327228 353760 356976 385920 390720 396640 409035 424512 426240 436304 446220 468864 471680 475968 490842 520960 530640 545380 566016 586080 594960 634624 654456 707520 713952 771840 781440 793280 818070 849024 872608 892440 937728 943360 951936 981684 1061280 1090760 1172160 1189920 1227105 1308912 1415040 1427904 1562880 1586560 1636140 1698048 1745216 1784880 1903872 1963368 2122560 2181520 2344320 2379840 2454210 2617824 2830080 2855808 3173120 3272280 3490432 3569760 3926736 4245120 4363040 4688640 4759680 4908420 5235648 5711616 6544560 6980864 7139520 7853472 8490240 8726080 9519360 9816840 10471296 13089120 14279040 15706944 17452160 19633680 20942592 26178240 28558080 31413888 34904320 39267360 52356480 62827776 78534720 104712960 157069440 314138880
- Sum of all divisors σ(n): 1235916864
- Sum of proper divisors (its aliquot sum) s(n): 921777984
- 314138880 is an abundant number, because the sum of its proper divisors (921777984) is greater than itself. Its abundance is 607639104
Bases of 314138880
- Binary: 100101011100101100001000000002
- Hexadecimal: 0x12B96100
- Base-36: 571340
Squares and roots of 314138880
- 314138880 squared (3141388802) is 98683235927654400
- 314138880 cubed (3141388803) is 31000241209089114243072000
-
The
square root of 314138880 is 17723.9634393665 -
The
cube root of 314138880 is 679.7886309607
Scales and comparisons
How big is 314138880?- 314,138,880 seconds is equal to 9 years, 51 weeks, 2 days, 20 hours, 48 minutes.
-
To count from 1 to 314,138,880 would take you about fourteen 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 314138880 cubic inches would be around 56.6 feet tall.
Recreational maths with 314138880
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