12042613440
12,042,613,440 is an even composite number composed of six prime numbers multiplied together.
12042613440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy-six divisors.
Prime factorization of 12042613440:
26 × 36 × 5 × 11 × 13 × 192
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 19 × 19)See below for interesting mathematical facts about the number 12042613440 from the Numbermatics database.
Names of 12042613440
- Cardinal: 12042613440 can be written as Twelve billion, forty-two million, six hundred thirteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.204261344 × 1010
Factors of 12042613440
Divisors of 12042613440
- Number of divisors d(n): 1176
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 26 27 30 32 33 36 38 39 40 44 45 48 52 54 55 57 60 64 65 66 72 76 78 80 81 88 90 95 96 99 104 108 110 114 117 120 130 132 135 143 144 152 156 160 162 165 171 176 180 190 192 195 198 208 209 216 220 228 234 240 243 247 260 264 270 285 286 288 297 304 312 320 324 330 342 351 352 360 361 380 390 396 405 416 418 429 432 440 456 468 480 486 494 495 513 520 528 540 570 572 576 585 594 608 624 627 648 660 684 702 704 715 720 722 729 741 760 780 792 810 832 836 855 858 864 880 891 912 936 960 972 988 990 1026 1040 1045 1053 1056 1080 1083 1140 1144 1170 1188 1215 1216 1235 1248 1254 1287 1296 1320 1368 1404 1430 1440 1444 1458 1482 1485 1520 1539 1560 1584 1620 1672 1710 1716 1728 1755 1760 1782 1805 1824 1872 1881 1944 1976 1980 2052 2080 2090 2106 2112 2145 2160 2166 2223 2280 2288 2340 2376 2430 2470 2496 2508 2565 2574 2592 2640 2673 2717 2736 2808 2860 2880 2888 2916 2964 2970 3040 3078 3120 3135 3159 3168 3240 3249 3344 3420 3432 3510 3520 3564 3610 3645 3648 3705 3744 3762 3861 3888 3952 3960 3971 4104 4160 4180 4212 4290 4320 4332 4446 4455 4560 4576 4617 4680 4693 4752 4860 4940 5016 5130 5148 5184 5265 5280 5346 5415 5434 5472 5616 5643 5720 5776 5832 5928 5940 6080 6156 6240 6270 6318 6336 6435 6480 6498 6669 6688 6840 6864 7020 7128 7220 7290 7410 7488 7524 7695 7722 7776 7904 7920 7942 8019 8151 8208 8360 8424 8580 8640 8664 8892 8910 9120 9152 9234 9360 9386 9405 9477 9504 9720 9747 9880 10032 10260 10296 10530 10560 10692 10830 10868 10944 11115 11232 11286 11440 11552 11583 11664 11856 11880 11913 12312 12480 12540 12636 12870 12960 12996 13338 13365 13376 13585 13680 13728 13851 14040 14079 14256 14440 14580 14820 15048 15390 15444 15552 15795 15808 15840 15884 16038 16245 16302 16416 16720 16848 16929 17160 17328 17784 17820 18240 18468 18720 18772 18810 18954 19008 19305 19440 19494 19760 19855 20007 20064 20520 20592 21060 21384 21660 21736 22230 22464 22572 22880 23085 23104 23166 23328 23465 23712 23760 23826 24453 24624 25080 25272 25740 25920 25992 26676 26730 27170 27360 27456 27702 28080 28158 28215 28512 28880 29160 29241 29640 30096 30780 30888 31590 31680 31768 32076 32490 32604 32832 33345 33440 33696 33858 34320 34656 34749 35568 35640 35739 36936 37440 37544 37620 37908 38610 38880 38988 39520 39710 40014 40095 40128 40755 41040 41184 42120 42237 42768 43320 43472 44460 45144 45760 46170 46332 46656 46930 47385 47424 47520 47652 48735 48906 49248 50160 50544 50787 51480 51623 51984 53352 53460 54340 54720 55404 56160 56316 56430 57024 57760 57915 58320 58482 59280 59565 60021 60192 61560 61776 63180 63536 64152 64980 65208 66690 66880 67392 67716 68640 69255 69312 69498 70395 71136 71280 71478 73359 73872 75088 75240 75816 77220 77760 77976 79040 79420 80028 80190 81510 82080 82368 84240 84474 84645 85536 86640 86944 87723 88920 90288 92340 92664 93860 94770 95040 95304 97470 97812 98496 100035 100320 101088 101574 102960 103246 103968 104247 106704 106920 107217 108680 110808 112320 112632 112860 115520 115830 116640 116964 118560 119130 120042 120384 122265 123120 123552 126360 126711 127072 128304 129960 130416 133380 135432 137280 138510 138996 140790 142272 142560 142956 146205 146718 147744 150176 150480 151632 152361 154440 154869 155952 158840 160056 160380 163020 164160 168480 168948 169290 171072 173280 173745 173888 175446 177840 178695 180063 180576 184680 185328 187720 189540 190608 194940 195624 200070 200640 202176 203148 205920 206492 207936 208494 211185 213408 213840 214434 217360 220077 221616 225264 225720 231660 233280 233928 237120 238260 240084 244530 246240 247104 252720 253422 253935 254144 256608 258115 259920 260832 263169 266760 270864 277020 277992 281580 285120 285912 292410 293436 295488 300105 300352 300960 303264 304722 308880 309738 311904 317680 320112 320760 321651 326040 336960 337896 338580 346560 347490 350892 355680 357390 360126 361152 366795 369360 370656 375440 379080 380133 381216 389880 391248 400140 406296 411840 412984 416988 422370 426816 427680 428868 434720 438615 440154 443232 450528 451440 463320 464607 467856 476520 480168 489060 492480 505440 506844 507870 513216 516230 519840 521235 521664 526338 533520 536085 541728 554040 555984 563160 571824 584820 586872 600210 601920 606528 609444 617760 619476 623808 633555 635360 640224 641520 643302 652080 660231 675792 677160 694980 701784 711360 714780 720252 733590 738720 741312 750880 758160 760266 761805 762432 774345 779760 782496 800280 812592 825968 833976 844740 855360 857736 869440 877230 880308 886464 900315 901056 902880 926640 929214 935712 953040 960336 964953 978120 1010880 1013688 1015740 1032460 1039680 1042470 1052676 1067040 1072170 1083456 1100385 1108080 1111968 1126320 1140399 1143648 1169640 1173744 1200420 1218888 1235520 1238952 1267110 1270720 1280448 1283040 1286604 1304160 1315845 1320462 1351584 1354320 1389960 1393821 1403568 1429560 1440504 1467180 1477440 1501760 1516320 1520532 1523610 1548690 1559520 1564992 1600560 1608255 1625184 1651936 1667952 1689480 1715472 1754460 1760616 1800630 1805760 1853280 1858428 1871424 1900665 1906080 1920672 1929906 1956240 1980693 2027376 2031480 2064920 2084940 2105352 2134080 2144340 2200770 2216160 2223936 2252640 2280798 2287296 2323035 2339280 2347488 2400840 2437776 2477904 2534220 2566080 2573208 2608320 2631690 2640924 2703168 2708640 2779920 2787642 2807136 2859120 2881008 2894859 2934360 3032640 3041064 3047220 3097380 3119040 3201120 3216510 3250368 3301155 3303872 3335904 3378960 3421197 3430944 3508920 3521232 3601260 3706560 3716856 3801330 3812160 3841344 3859812 3912480 3961386 4054752 4062960 4129840 4169880 4181463 4210704 4288680 4401540 4432320 4505280 4561596 4646070 4678560 4694976 4801680 4824765 4875552 4955808 5068440 5146416 5263380 5281848 5417280 5559840 5575284 5614272 5701995 5718240 5762016 5789718 5868720 6082128 6094440 6194760 6402240 6433020 6602310 6671808 6757920 6842394 6861888 6969105 7017840 7042464 7202520 7433712 7602660 7719624 7824960 7922772 8109504 8125920 8259680 8339760 8362926 8421408 8577360 8803080 9123192 9292140 9357120 9603360 9649530 9751104 9903465 9911616 10136880 10292832 10526760 10563696 11119680 11150568 11403990 11436480 11524032 11579436 11737440 12164256 12188880 12389520 12544389 12866040 13204620 13515840 13684788 13938210 14035680 14084928 14405040 14474295 14867424 15205320 15439248 15845544 16251840 16519360 16679520 16725852 16842816 17105985 17154720 17606160 18246384 18584280 19206720 19299060 19806930 20273760 20585664 20907315 21053520 21127392 22301136 22807980 23158872 23474880 24328512 24377760 24779040 25088778 25732080 26409240 27369576 27876420 28071360 28810080 28948590 29734848 30410640 30878496 31691088 33359040 33451704 34211970 34309440 35212320 36492768 37168560 37633167 38598120 39613860 40547520 41814630 42107040 42254784 44602272 45615960 46317744 48755520 49558080 50177556 51464160 52818480 54739152 55752840 57620160 57897180 60821280 61756992 62721945 63382176 66903408 68423940 70424640 72985536 74337120 75266334 77196240 79227720 83629260 84214080 89204544 91231920 92635488 100355112 102928320 105636960 109478304 111505680 115794360 121642560 125443890 126764352 133806816 136847880 148674240 150532668 154392480 158455440 167258520 182463840 185270976 188165835 200710224 211273920 218956608 223011360 231588720 250887780 267613632 273695760 301065336 308784960 316910880 334517040 364927680 376331670 401420448 446022720 463177440 501775560 547391520 602130672 633821760 669034080 752663340 802840896 926354880 1003551120 1094783040 1204261344 1338068160 1505326680 2007102240 2408522688 3010653360 4014204480 6021306720 12042613440
- Sum of all divisors σ(n): 53310086928
- Sum of proper divisors (its aliquot sum) s(n): 41267473488
- 12042613440 is an abundant number, because the sum of its proper divisors (41267473488) is greater than itself. Its abundance is 29224860048
Bases of 12042613440
- Binary: 10110011011100101110110010110000002
- Hexadecimal: 0x2CDCBB2C0
- Base-36: 5J5V000
Squares and roots of 12042613440
- 12042613440 squared (120426134402) is 145024538465268633600
- 12042613440 cubed (120426134403) is 1746474456051641020201795584000
-
The
square root of 12042613440 is 109738.8419840485 -
The
cube root of 12042613440 is 2292.1352953219
Scales and comparisons
How big is 12042613440?- 12,042,613,440 seconds is equal to 382 years, 47 weeks, 5 days, 2 hours, 24 minutes.
-
To count from 1 to 12,042,613,440 would take you about seven hundred sixty-five 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 12042613440 cubic inches would be around 191 feet tall.
Recreational maths with 12042613440
- 12042613440 backwards is 04431624021
- 12042613440 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12042613440's digits is 27
- More coming soon!
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Numbermatics. (2024). Number 12042613440 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/12042613440/
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The information we have on file for 12042613440 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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