12131009280
12,131,009,280 is an even composite number composed of six prime numbers multiplied together.
12131009280 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12131009280:
28 × 33 × 5 × 132 × 31 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 31 × 67)See below for interesting mathematical facts about the number 12131009280 from the Numbermatics database.
Names of 12131009280
- Cardinal: 12131009280 can be written as Twelve billion, one hundred thirty-one million, nine thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.213100928 × 1010
Factors of 12131009280
Divisors of 12131009280
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 64 65 67 72 78 80 90 93 96 104 108 117 120 124 128 130 134 135 144 155 156 160 169 180 186 192 195 201 208 216 234 240 248 256 260 268 270 279 288 310 312 320 335 338 351 360 372 384 390 402 403 416 432 465 468 480 496 507 520 536 540 558 576 585 603 620 624 640 670 676 702 720 744 768 780 804 806 832 837 845 864 871 930 936 960 992 1005 1014 1040 1072 1080 1116 1152 1170 1206 1209 1240 1248 1280 1340 1352 1395 1404 1440 1488 1521 1560 1608 1612 1664 1674 1690 1728 1742 1755 1809 1860 1872 1920 1984 2010 2015 2028 2077 2080 2144 2160 2232 2304 2340 2412 2418 2480 2496 2535 2613 2680 2704 2790 2808 2880 2976 3015 3042 3120 3216 3224 3328 3348 3380 3456 3484 3510 3618 3627 3720 3744 3840 3968 4020 4030 4056 4154 4160 4185 4288 4320 4355 4464 4563 4680 4824 4836 4960 4992 5070 5226 5239 5360 5408 5580 5616 5760 5952 6030 6045 6084 6231 6240 6432 6448 6696 6760 6912 6968 7020 7236 7254 7440 7488 7605 7839 7936 8040 8060 8112 8308 8320 8370 8576 8640 8710 8928 9045 9126 9360 9648 9672 9920 9984 10140 10385 10452 10478 10720 10816 10881 11160 11232 11323 11520 11904 12060 12090 12168 12462 12480 12864 12896 13065 13392 13520 13936 14040 14472 14508 14880 14976 15210 15678 15717 16080 16120 16224 16616 16640 16740 17152 17280 17420 17856 18090 18135 18252 18693 18720 19296 19344 19840 20280 20770 20904 20956 21440 21632 21762 22320 22464 22646 22815 23517 23808 24120 24180 24336 24924 24960 25728 25792 26130 26195 26784 27001 27040 27872 28080 28944 29016 29760 29952 30420 31155 31356 31434 32160 32240 32448 33232 33480 33969 34560 34840 35712 36180 36270 36504 37386 37440 38592 38688 39195 39680 40560 41540 41808 41912 42880 43264 43524 44640 44928 45292 45630 47034 47151 48240 48360 48672 49848 49920 51456 51584 52260 52390 53568 54002 54080 54405 55744 56079 56160 56615 57888 58032 59520 60840 62310 62712 62868 64320 64480 64896 66464 66960 67938 69680 71424 72360 72540 73008 74772 74880 77184 77376 78390 78585 81003 81120 83080 83616 83824 85760 87048 89280 89856 90584 91260 93465 94068 94302 96480 96720 97344 99696 101907 103168 104520 104780 107136 108004 108160 108810 111488 112158 112320 113230 115776 116064 117585 119040 121680 124620 125424 125736 128640 128960 129792 132928 133920 135005 135876 139360 141453 144720 145080 146016 149544 149760 154368 154752 156780 157170 162006 162240 166160 167232 167648 169845 174096 178560 181168 182520 186930 188136 188604 192960 193440 194688 199392 203814 209040 209560 214272 216008 216320 217620 222976 224316 224640 226460 231552 232128 235170 235755 243009 243360 249240 250848 251472 257280 257920 265856 267840 270010 271752 278720 280395 282906 289440 290160 292032 299088 305721 309504 313560 314340 324012 324480 332320 334464 335296 339690 348192 351013 357120 362336 365040 373860 376272 377208 385920 386880 389376 398784 405015 407628 418080 419120 432016 435240 448632 449280 452920 463104 464256 470340 471510 486018 486720 498480 501696 502944 509535 515840 531712 535680 540020 543504 557440 560790 565812 578880 580320 584064 598176 611442 627120 628680 648024 648960 664640 668928 670592 679380 696384 702026 707265 724672 729027 730080 747720 752544 754416 771840 773760 797568 810030 815256 836160 838240 864032 870480 897264 905840 928512 940680 943020 972036 973440 996960 1003392 1005888 1019070 1053039 1071360 1080040 1087008 1114880 1121580 1131624 1157760 1160640 1168128 1196352 1215045 1222884 1254240 1257360 1296048 1329280 1341184 1358760 1392768 1404052 1414530 1449344 1458054 1460160 1495440 1505088 1508832 1528605 1547520 1595136 1620060 1630512 1672320 1676480 1728064 1740960 1755065 1794528 1811680 1881360 1886040 1944072 1946880 1993920 2006784 2011776 2038140 2106078 2160080 2174016 2243160 2263248 2315520 2321280 2392704 2430090 2445768 2508480 2514720 2592096 2658560 2717520 2785536 2808104 2829060 2898688 2916108 2920320 2990880 3010176 3017664 3057210 3159117 3240120 3261024 3344640 3352960 3456128 3481920 3510130 3589056 3623360 3645135 3762720 3772080 3888144 3987840 4023552 4076280 4212156 4320160 4348032 4486320 4526496 4642560 4785408 4860180 4891536 5016960 5029440 5184192 5265195 5435040 5616208 5658120 5832216 5840640 5981760 6020352 6035328 6114420 6318234 6480240 6522048 6705920 6912256 6963840 7020260 7178112 7246720 7290270 7525440 7544160 7776288 7975680 8152560 8424312 8640320 8696064 8972640 9052992 9477351 9720360 9783072 10033920 10058880 10368384 10530390 10870080 11232416 11316240 11664432 11963520 12070656 12228840 12636468 12960480 13044096 13927680 14040520 14356224 14493440 14580540 15050880 15088320 15552576 15795585 16305120 16848624 17280640 17945280 18105984 18954702 19440720 19566144 20117760 20736768 21060780 21740160 22464832 22632480 23328864 23927040 24457680 25272936 25920960 26088192 28081040 29161080 30101760 30176640 31105152 31591170 32610240 33697248 34561280 35890560 36211968 37909404 38881440 39132288 42121560 43480320 44929664 45264960 46657728 47386755 48915360 50545872 51841920 56162080 58322160 60353280 62210304 63182340 65220480 67394496 71781120 75818808 77762880 78264576 84243120 89859328 90529920 93315456 94773510 97830720 101091744 103683840 112324160 116644320 126364680 130440960 134788992 151637616 155525760 168486240 181059840 186630912 189547020 195661440 202183488 224648320 233288640 252729360 269577984 303275232 311051520 336972480 379094040 391322880 404366976 449296640 466577280 505458720 606550464 673944960 758188080 808733952 933154560 1010917440 1213100928 1347889920 1516376160 2021834880 2426201856 3032752320 4043669760 6065504640 12131009280
- Sum of all divisors σ(n): 48836229120
- Sum of proper divisors (its aliquot sum) s(n): 36705219840
- 12131009280 is an abundant number, because the sum of its proper divisors (36705219840) is greater than itself. Its abundance is 24574210560
Bases of 12131009280
- Binary: 10110100110001000010000011000000002
- Hexadecimal: 0x2D3108300
- Base-36: 5KMHMO0
Squares and roots of 12131009280
- 12131009280 squared (121310092802) is 147161386151446118400
- 12131009280 cubed (121310092803) is 1785216141060856347730378752000
-
The
square root of 12131009280 is 110140.8610825247 -
The
cube root of 12131009280 is 2297.7299139251
Scales and comparisons
How big is 12131009280?- 12,131,009,280 seconds is equal to 385 years, 37 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 12,131,009,280 would take you about seven hundred seventy-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 12131009280 cubic inches would be around 191.5 feet tall.
Recreational maths with 12131009280
- 12131009280 backwards is 08290013121
- 12131009280 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12131009280's digits is 27
- More coming soon!
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