331142916117312
331,142,916,117,312 is an even composite number composed of five prime numbers multiplied together.
331142916117312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 331142916117312:
26 × 32 × 13 × 1132 × 18612
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 113 × 113 × 1861 × 1861)See below for interesting mathematical facts about the number 331142916117312 from the Numbermatics database.
Names of 331142916117312
- Cardinal: 331142916117312 can be written as Three hundred thirty-one trillion, one hundred forty-two billion, nine hundred sixteen million, one hundred seventeen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 3.31142916117312 × 1014
Factors of 331142916117312
Divisors of 331142916117312
- Number of divisors d(n): 378
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 113 117 144 156 192 208 226 234 288 312 339 416 452 468 576 624 678 832 904 936 1017 1248 1356 1469 1808 1861 1872 2034 2496 2712 2938 3616 3722 3744 4068 4407 5424 5583 5876 7232 7444 7488 8136 8814 10848 11166 11752 12769 13221 14888 16272 16749 17628 21696 22332 23504 24193 25538 26442 29776 32544 33498 35256 38307 44664 47008 48386 51076 52884 59552 65088 66996 70512 72579 76614 89328 94016 96772 102152 105768 114921 119104 133992 141024 145158 153228 165997 178656 193544 204304 210293 211536 217737 229842 267984 282048 290316 306456 331994 357312 387088 408608 420586 423072 435474 459684 497991 535968 580632 612912 630879 663988 774176 817216 841172 846144 870948 919368 995982 1071936 1161264 1225824 1261758 1327976 1493973 1548352 1682344 1741896 1838736 1892637 1991964 2322528 2451648 2523516 2655952 2733809 2987946 3364688 3463321 3483792 3677472 3785274 3983928 4645056 5047032 5311904 5467618 5975892 6729376 6926642 6967584 7354944 7570548 7967856 8201427 10094064 10389963 10623808 10935236 11951784 13458752 13853284 13935168 15141096 15935712 16402854 20188128 20779926 21870472 23763109 23903568 24604281 27706568 30282192 31169889 31871424 32805708 40376256 41559852 43740944 45023173 47526218 47807136 49208562 55413136 60564384 62339778 65611416 71289327 83119704 87481888 90046346 95052436 95614272 98417124 110826272 121128768 124679556 131222832 135069519 142578654 166239408 174963776 180092692 190104872 196834248 213867981 221652544 249359112 262445664 270139038 285157308 308920417 332478816 360185384 380209744 391355273 393668496 405208557 427735962 498718224 524891328 540278076 570314616 617840834 664957632 720370768 760419488 782710546 787336992 810417114 855471924 926761251 997436448 1080556152 1140629232 1174065819 1235681668 1440741536 1520838976 1565421092 1574673984 1620834228 1710943848 1853522502 1994872896 2161112304 2281258464 2348131638 2471363336 2780283753 2881483072 3130842184 3241668456 3421887696 3522197457 3707045004 4322224608 4562516928 4696263276 4942726672 5087618549 5560567506 6261684368 6483336912 6843775392 7044394914 7414090008 8644449216 9392526552 9885453344 10175237098 11121135012 12523368736 12966673824 13687550784 14088789828 14828180016 15262855647 18785053104 19770906688 20350474196 22242270024 25046737472 25933347648 28177579656 29656360032 30525711294 37570106208 40700948392 44223145849 44484540048 45788566941 56355159312 59312720064 61051422588 75140212416 81401896784 88446291698 88969080096 91577133882 112710318624 122102845176 132669437547 162803793568 176892583396 177938160192 183154267764 225420637248 244205690352 265338875094 325607587136 353785166792 366308535528 398008312641 488411380704 530677750188 574900896037 707570333584 732617071056 796016625282 976822761408 1061355500376 1149801792074 1415140667168 1465234142112 1592033250564 1724702688111 2122711000752 2299603584148 2830281334336 2930468284224 3184066501128 3449405376222 4245422001504 4599207168296 5174108064333 6368133002256 6898810752444 8490844003008 9198414336592 10348216128666 12736266004512 13797621504888 18396828673184 20696432257332 25472532009024 27595243009776 36793657346368 41392864514664 55190486019552 82785729029328 110380972039104 165571458058656 331142916117312
- Sum of all divisors σ(n): 1031854092142146
- Sum of proper divisors (its aliquot sum) s(n): 700711176024834
- 331142916117312 is an abundant number, because the sum of its proper divisors (700711176024834) is greater than itself. Its abundance is 369568259907522
Bases of 331142916117312
- Binary: 10010110100101100001101111110001010010011010000002
- Hexadecimal: 0x12D2C37E29340
- Base-36: 39DOYEEDS0
Squares and roots of 331142916117312
- 331142916117312 squared (3311429161173122) is 109655630894677131537346105344
- 331142916117312 cubed (3311429161173123) is 36311685383146995587308715879764489414115328
-
The
square root of 331142916117312 is 18197332.6649075687 -
The
cube root of 331142916117312 is 69183.9184982973
Scales and comparisons
How big is 331142916117312?- 331,142,916,117,312 seconds is equal to 10,529,320 years, 22 weeks, 6 days, 5 hours, 55 minutes, 12 seconds.
-
To count from 1 to 331,142,916,117,312 would take you about twenty-six million, three hundred twenty-three thousand, three hundred one 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 331142916117312 cubic inches would be around 5765.3 feet tall.
Recreational maths with 331142916117312
- 331142916117312 backwards is 213711619241133
- The number of decimal digits it has is: 15
- The sum of 331142916117312's digits is 45
- More coming soon!
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