12831012904320
12,831,012,904,320 is an even composite number composed of six prime numbers multiplied together.
12831012904320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12831012904320:
27 × 35 × 5 × 133 × 17 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 17 × 47 × 47)See below for interesting mathematical facts about the number 12831012904320 from the Numbermatics database.
Names of 12831012904320
- Cardinal: 12831012904320 can be written as Twelve trillion, eight hundred thirty-one billion, twelve million, nine hundred four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.283101290432 × 1013
Factors of 12831012904320
Divisors of 12831012904320
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 32 34 36 39 40 45 47 48 51 52 54 60 64 65 68 72 78 80 81 85 90 94 96 102 104 108 117 120 128 130 135 136 141 144 153 156 160 162 169 170 180 188 192 195 204 208 216 221 234 235 240 243 255 260 270 272 282 288 306 312 320 324 338 340 351 360 376 384 390 405 408 416 423 432 442 459 468 470 480 486 507 510 520 540 544 564 576 585 611 612 624 640 648 663 676 680 702 705 720 752 765 780 799 810 816 832 845 846 864 884 918 936 940 960 972 1014 1020 1040 1053 1080 1088 1105 1128 1152 1170 1215 1222 1224 1248 1269 1296 1326 1352 1360 1377 1404 1410 1440 1504 1521 1530 1560 1598 1620 1632 1664 1690 1692 1728 1755 1768 1833 1836 1872 1880 1920 1944 1989 2028 2040 2080 2106 2115 2160 2176 2197 2209 2210 2256 2295 2340 2397 2430 2444 2448 2496 2535 2538 2592 2652 2704 2720 2754 2808 2820 2873 2880 3008 3042 3055 3060 3120 3159 3196 3240 3264 3315 3380 3384 3456 3510 3536 3666 3672 3744 3760 3807 3888 3978 3995 4056 4080 4131 4160 4212 4230 4320 4394 4418 4420 4512 4563 4590 4680 4794 4860 4888 4896 4992 5070 5076 5184 5265 5304 5408 5440 5499 5508 5616 5640 5746 5760 5967 6016 6084 6110 6120 6240 6318 6345 6392 6480 6528 6591 6627 6630 6760 6768 6885 7020 7072 7191 7332 7344 7488 7520 7605 7614 7776 7943 7956 7990 8112 8160 8262 8320 8424 8460 8619 8640 8788 8836 8840 9024 9126 9165 9180 9360 9588 9720 9776 9792 9945 10140 10152 10368 10387 10530 10608 10816 10880 10985 10998 11016 11045 11232 11280 11421 11492 11934 11985 12168 12220 12240 12480 12636 12690 12784 12960 13182 13254 13260 13520 13536 13689 13770 14040 14144 14365 14382 14664 14688 14976 15040 15210 15228 15552 15795 15886 15912 15980 16224 16320 16497 16524 16848 16920 17238 17280 17576 17672 17680 17901 18048 18252 18330 18360 18720 19035 19176 19440 19552 19584 19773 19881 19890 20280 20304 20655 20774 21060 21216 21573 21632 21970 21996 22032 22090 22464 22560 22815 22842 22984 23829 23868 23970 24336 24440 24480 24960 25272 25380 25568 25857 25920 26364 26508 26520 27040 27072 27378 27495 27540 28080 28288 28717 28730 28764 29328 29376 29835 30080 30420 30456 31104 31161 31590 31772 31824 31960 32448 32640 32955 32994 33048 33135 33696 33840 34476 35152 35344 35360 35802 35955 36504 36660 36720 37349 37440 37553 38070 38352 38880 39104 39546 39715 39762 39780 40560 40608 41067 41310 41548 42120 42432 43095 43146 43940 43992 44064 44180 44928 45120 45630 45684 45968 47658 47736 47940 48672 48880 48960 49491 50544 50760 51136 51714 51840 51935 52728 53016 53040 53703 54080 54144 54756 54990 55080 56160 57105 57434 57460 57528 58656 58752 59319 59643 59670 60840 60912 62322 63180 63544 63648 63920 64719 64896 65910 65988 66096 66270 67392 67680 68445 68952 70304 70688 70720 71487 71604 71910 73008 73320 73440 74698 74880 75106 76140 76704 77571 77760 78208 79092 79430 79524 79560 81120 81216 82134 82485 82620 83096 84240 84864 86151 86190 86292 87880 87984 88128 88360 89505 90240 91260 91368 91936 93483 95316 95472 95880 97344 97760 97920 98865 98982 99405 101088 101520 102272 103259 103428 103870 105456 106032 106080 107406 107865 108160 109512 109980 110160 112047 112320 112659 114210 114868 114920 115056 117312 118638 119145 119286 119340 121680 121824 124644 126360 127088 127296 127840 129285 129438 131820 131976 132192 132540 134784 135031 135360 136890 137904 140608 141376 141440 142974 143208 143585 143820 146016 146640 146880 148473 149396 150212 152280 153408 155142 155520 155805 158184 158860 159048 159120 162240 162432 164268 164970 165240 166192 168480 172302 172380 172584 175760 175968 176256 176720 177957 178929 179010 182520 182736 183872 186745 186966 187765 190632 190944 191760 194157 194688 195520 197730 197964 198810 202176 203040 205335 206518 206856 207740 210912 212064 212160 214461 214812 215730 219024 219960 220320 224094 224640 225318 228420 229736 229840 230112 232713 234624 237276 238290 238572 238680 243360 243648 247455 249288 252720 254176 254592 255680 258453 258570 258876 263640 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15166681920 15184630656 15421890510 15724280520 15840756672 16058839680 16450016544 16772565888 17062517160 17820851256 18200018304 18277796160 18869136624 18980788320 19352960640 19800945840 20048457663 20562520680 20965707360 21000021120 21933355392 22276064070 22750022880 23586420780 23761135008 24675024816 25158848832 25307717760 26401261120 26731276884 27300027456 27416694240 27954276480 29029440960 29701418760 30333363840 30843781020 31448561040 31681513344 32900033088 33414096105 34125034320 35641702512 36555592320 37738273248 37961576640 39601891680 40096915326 41125041360 41931414720 44552128140 45500045760 47172841560 47522270016 49350049632 50317697664 52802522240 53462553768 54600054912 54833388480 58058881920 59402837520 61687562040 62897122080 65800066176 66828192210 68250068640 71283405024 75476546496 75923153280 79203783360 80193830652 82250082720 83862829440 89104256280 91000091520 94345683120 95044540032 98700099264 100242288315 106925107536 109666776960 118805675040 123375124080 125794244160 133656384420 136500137280 142566810048 150953092992 158407566720 160387661304 164500165440 178208512560 188691366240 197400198528 200484576630 213850215072 237611350080 246750248160 251588488320 267312768840 273000274560 285133620096 320775322608 329000330880 356417025120 377382732480 400969153260 427700430144 475222700160 493500496320 534625537680 641550645216 712834050240 754765464960 801938306520 855400860288 987000992640 1069251075360 1283101290432 1425668100480 1603876613040 2138502150720 2566202580864 3207753226080 4277004301440 6415506452160 12831012904320
- Sum of all divisors σ(n): 53848527969600
- Sum of proper divisors (its aliquot sum) s(n): 41017515065280
- 12831012904320 is an abundant number, because the sum of its proper divisors (41017515065280) is greater than itself. Its abundance is 28186502160960
Bases of 12831012904320
- Binary: 101110101011011100111111011101011101100000002
- Hexadecimal: 0xBAB73F75D80
- Base-36: 4JQHHSO00
Squares and roots of 12831012904320
- 12831012904320 squared (128310129043202) is 164634892150826361474662400
- 12831012904320 cubed (128310129043203) is 2112432425688584523833026159115501568000
-
The
square root of 12831012904320 is 3582040.3270091753 -
The
cube root of 12831012904320 is 23411.0188105451
Scales and comparisons
How big is 12831012904320?- 12,831,012,904,320 seconds is equal to 407,986 years, 27 weeks, 19 hours, 12 minutes.
-
To count from 1 to 12,831,012,904,320 would take you about one million, nineteen thousand, nine hundred sixty-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 12831012904320 cubic inches would be around 1950.9 feet tall.
Recreational maths with 12831012904320
- 12831012904320 backwards is 02340921013821
- 12831012904320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12831012904320's digits is 36
- More coming soon!
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"Number 12831012904320 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 12831012904320 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/12831012904320/
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Numbermatics. 2024. "Number 12831012904320 - Facts about the integer". https://numbermatics.com/n/12831012904320/
The information we have on file for 12831012904320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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