12138942816
12,138,942,816 is an even composite number composed of seven prime numbers multiplied together.
12138942816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12138942816:
25 × 32 × 7 × 11 × 132 × 41 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 13 × 41 × 79)See below for interesting mathematical facts about the number 12138942816 from the Numbermatics database.
Names of 12138942816
- Cardinal: 12138942816 can be written as Twelve billion, one hundred thirty-eight million, nine hundred forty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.2138942816 × 1010
Factors of 12138942816
Divisors of 12138942816
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 41 42 44 48 52 56 63 66 72 77 78 79 82 84 88 91 96 99 104 112 117 123 126 132 143 144 154 156 158 164 168 169 176 182 198 208 224 231 234 237 246 252 264 273 286 287 288 308 312 316 328 336 338 352 364 369 396 416 429 451 462 468 474 492 504 507 528 533 546 553 572 574 616 624 632 656 672 676 693 711 728 738 792 819 858 861 869 902 924 936 948 984 1001 1008 1014 1027 1056 1066 1092 1106 1144 1148 1183 1232 1248 1264 1287 1312 1352 1353 1386 1422 1456 1476 1521 1584 1599 1638 1659 1716 1722 1738 1804 1848 1859 1872 1896 1968 2002 2016 2028 2054 2132 2184 2212 2288 2296 2366 2464 2528 2574 2583 2607 2704 2706 2772 2844 2912 2952 3003 3042 3081 3157 3168 3198 3239 3276 3318 3432 3444 3476 3549 3608 3696 3718 3731 3744 3792 3936 4004 4056 4059 4108 4264 4368 4424 4576 4592 4732 4797 4977 5148 5166 5214 5408 5412 5544 5577 5688 5863 5904 6006 6083 6084 6162 6314 6396 6478 6552 6636 6864 6888 6929 6952 7098 7189 7216 7392 7436 7462 7584 7821 8008 8112 8118 8216 8528 8736 8848 9009 9184 9243 9464 9471 9594 9717 9954 10296 10332 10428 10647 10824 11088 11154 11193 11297 11376 11726 11808 12012 12166 12168 12324 12628 12792 12956 13013 13104 13272 13351 13728 13776 13858 13904 14196 14378 14432 14872 14924 15642 16016 16224 16236 16432 16731 17056 17589 17696 18018 18249 18486 18928 18942 19188 19434 19908 20592 20664 20787 20856 21294 21567 21648 22176 22308 22386 22594 22673 22752 23452 24024 24332 24336 24648 25256 25584 25912 26026 26208 26544 26702 27552 27716 27808 28392 28413 28756 29151 29744 29848 31284 32032 32472 32864 33462 33579 33891 35178 35629 36036 36498 36972 37856 37884 38376 38868 39039 39816 40053 41041 41184 41328 41574 41712 42107 42588 43134 43296 44616 44772 45188 45346 46904 48048 48503 48664 48672 49296 50512 51168 51824 52052 52767 53088 53404 54747 55432 56784 56826 57512 58302 59488 59696 62361 62568 64701 64944 66924 67158 67782 68019 70356 71258 72072 72996 73944 75768 76219 76752 77736 78078 79079 79632 80106 82082 82656 83148 83424 84214 85176 86268 89232 89544 90376 90692 93457 93808 96096 97006 97328 98592 101024 101673 103648 104104 105534 106808 106887 109494 110864 113568 113652 115024 116604 117117 119392 120159 123123 124722 125136 126321 129402 129888 133848 134316 135564 136038 140712 142516 144144 145509 145992 146861 147888 151536 152438 153504 155472 156156 158158 159264 160212 164164 166296 168428 170352 172536 178464 179088 180752 181384 186914 187616 194012 194656 203346 204057 208208 211068 213616 213774 218988 221728 227304 228657 230048 233208 234234 237237 240318 246246 249403 249444 250272 252642 258804 267696 268632 271128 272076 280371 281424 285032 288288 291018 291984 293722 294749 295776 303072 304876 310944 312312 316316 320424 320661 328328 332592 336856 340704 345072 358176 361504 362768 369369 373828 378963 388024 406692 408114 416416 422136 427232 427548 436527 437976 440583 454608 457314 463177 466416 468468 474474 480636 492492 498806 498888 505284 517608 533533 535392 537264 542256 544152 547391 560742 562848 570064 582036 583968 587444 589498 609752 624624 632632 640848 641322 656656 665184 673712 685971 690144 711711 725536 738738 747656 748209 757926 776048 813384 816228 841113 844272 855096 873054 875952 881166 884247 909216 914628 926354 932832 936936 948948 961272 984984 997612 997776 1010568 1028027 1035216 1067066 1074528 1084512 1088304 1094782 1121484 1140128 1164072 1174888 1178996 1219504 1249248 1265264 1281696 1282644 1313312 1321749 1347424 1371942 1389531 1423422 1477476 1495312 1496418 1515852 1552096 1600599 1626768 1632456 1642173 1682226 1688544 1710192 1746108 1751904 1762332 1768494 1829256 1852708 1873872 1897896 1922544 1969968 1995224 1995552 2021136 2056054 2070432 2134132 2176608 2189564 2242968 2244627 2328144 2349776 2357992 2439008 2530528 2565288 2643498 2652741 2743884 2779062 2846844 2954952 2990624 2992836 3031704 3084081 3201198 3242239 3253536 3264912 3284346 3364452 3420384 3492216 3524664 3536988 3658512 3705416 3747744 3795792 3831737 3845088 3939936 3990448 4042272 4112108 4168593 4268264 4379128 4485936 4489254 4656288 4699552 4715984 4801797 4926519 5130576 5286996 5305482 5487768 5558124 5693688 5909904 5985672 6021301 6063408 6168162 6402396 6484478 6529824 6568692 6728904 6984432 7049328 7073976 7317024 7410832 7591584 7663474 7980896 8224216 8337186 8536528 8758256 8971872 8978508 9252243 9431968 9603594 9726717 9853038 10261152 10573992 10610964 10975536 11116248 11387376 11495211 11819808 11971344 12042602 12126816 12336324 12804792 12968956 13137384 13457808 13968864 14098656 14147952 14821664 15326948 16448432 16674372 17073056 17516512 17957016 18063903 18504486 19207188 19453434 19706076 21147984 21221928 21951072 22232496 22774752 22990422 23942688 24085204 24672648 25609584 25937912 26274768 26915616 28295904 29180151 30653896 32896864 33348744 34485633 35914032 36127806 37008972 38414376 38906868 39412152 42149107 42295968 42443856 44464992 45980844 48170408 49345296 51219168 51875824 52549536 54191709 58360302 61307792 66697488 68971266 71828064 72255612 74017944 76828752 77813736 78824304 84298214 84887712 91961688 96340816 98690592 103751648 108383418 116720604 122615584 126447321 133394976 137942532 144511224 148035888 153657504 155627472 157648608 168596428 183923376 192681632 216766836 233441208 252894642 275885064 289022448 296071776 311254944 337192856 367846752 379341963 433533672 466882416 505789284 551770128 578044896 674385712 758683926 867067344 933764832 1011578568 1103540256 1348771424 1517367852 1734134688 2023157136 3034735704 4046314272 6069471408 12138942816
- Sum of all divisors σ(n): 48344325120
- Sum of proper divisors (its aliquot sum) s(n): 36205382304
- 12138942816 is an abundant number, because the sum of its proper divisors (36205382304) is greater than itself. Its abundance is 24066439488
Bases of 12138942816
- Binary: 10110100111000100110010001011000002
- Hexadecimal: 0x2D3899160
- Base-36: 5KR7O80
Squares and roots of 12138942816
- 12138942816 squared (121389428162) is 147353932690118009856
- 12138942816 cubed (121389428163) is 1788720962638055569933708394496
-
The
square root of 12138942816 is 110176.8706035891 -
The
cube root of 12138942816 is 2298.2307007967
Scales and comparisons
How big is 12138942816?- 12,138,942,816 seconds is equal to 385 years, 51 weeks, 33 minutes, 36 seconds.
-
To count from 1 to 12,138,942,816 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 12138942816 cubic inches would be around 191.5 feet tall.
Recreational maths with 12138942816
- 12138942816 backwards is 61824983121
- The number of decimal digits it has is: 11
- The sum of 12138942816's digits is 45
- More coming soon!
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