42127205120
42,127,205,120 is an even composite number composed of six prime numbers multiplied together.
42127205120 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 42127205120:
28 × 5 × 73 × 112 × 13 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 61)See below for interesting mathematical facts about the number 42127205120 from the Numbermatics database.
Names of 42127205120
- Cardinal: 42127205120 can be written as Forty-two billion, one hundred twenty-seven million, two hundred five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.212720512 × 1010
Factors of 42127205120
Divisors of 42127205120
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 49 52 55 56 61 64 65 70 77 80 88 91 98 104 110 112 121 122 128 130 140 143 154 160 176 182 196 208 220 224 242 244 245 256 260 280 286 305 308 320 343 352 364 385 392 416 427 440 448 455 484 488 490 520 539 560 572 605 610 616 637 640 671 686 704 715 728 770 784 793 832 847 854 880 896 910 968 976 980 1001 1040 1078 1120 1144 1210 1220 1232 1274 1280 1342 1372 1408 1430 1456 1540 1568 1573 1586 1664 1694 1708 1715 1760 1792 1820 1936 1952 1960 2002 2080 2135 2156 2240 2288 2420 2440 2464 2548 2684 2695 2744 2816 2860 2912 2989 3080 3136 3146 3172 3185 3328 3355 3388 3416 3430 3520 3640 3773 3872 3904 3920 3965 4004 4160 4235 4270 4312 4459 4480 4576 4697 4840 4880 4928 5005 5096 5368 5390 5488 5551 5720 5824 5929 5978 6160 6272 6292 6344 6370 6710 6776 6832 6860 7007 7040 7280 7381 7546 7744 7808 7840 7865 7930 8008 8320 8470 8540 8624 8723 8918 8960 9152 9394 9680 9760 9856 10010 10192 10736 10780 10976 11011 11102 11440 11648 11858 11956 12320 12544 12584 12688 12740 13420 13552 13664 13720 14014 14080 14560 14762 14945 15092 15488 15616 15680 15730 15860 16016 16640 16940 17080 17248 17446 17836 18304 18788 18865 19360 19520 19712 20020 20384 20923 21472 21560 21952 22022 22204 22295 22880 23296 23485 23716 23912 24640 25168 25376 25480 26840 27104 27328 27440 27755 28028 29120 29524 29645 29890 30184 30976 31360 31460 31720 32032 32879 33880 34160 34496 34892 35035 35672 36608 36905 37576 37730 38720 38857 39040 40040 40768 41503 41846 42944 43120 43615 43904 44044 44408 44590 45760 46970 47432 47824 49049 49280 50336 50752 50960 51667 53680 54208 54656 54880 55055 55510 56056 58240 59048 59290 59780 60368 61061 62720 62920 63440 64064 65758 67760 68320 68992 69784 70070 71344 73810 75152 75460 77077 77440 77714 78080 80080 81536 83006 83692 85888 86240 87230 87808 88088 88816 89180 91520 93940 94864 95648 95953 98098 98560 100672 101504 101920 103334 104615 107360 108416 109312 109760 110110 111020 112112 116480 118096 118580 119560 120736 122122 125840 126880 128128 131516 135520 136640 137984 139568 140140 142688 147620 150304 150920 154154 154880 155428 160160 163072 164395 166012 167384 171776 172480 174460 176176 177632 178360 183040 187880 189728 191296 191906 194285 196196 201344 203008 203840 206668 207515 209230 214720 216832 219520 220220 222040 224224 230153 236192 237160 239120 241472 244244 245245 251680 253760 256256 258335 263032 271040 271999 273280 279136 280280 285376 295240 300608 301840 305305 308308 310856 320320 328790 332024 334768 344960 348920 352352 355264 356720 361669 375760 379456 382592 383812 385385 388570 392392 402688 407680 413336 415030 418460 427427 429440 439040 440440 444080 448448 460306 472384 474320 478240 479765 482944 488488 490490 503360 507520 516670 526064 539539 542080 543998 546560 558272 560560 570752 590480 601216 603680 610610 616616 621712 640640 657580 664048 669536 671671 689920 697840 704704 710528 713440 723338 751520 758912 765184 767624 770770 777140 784784 815360 826672 830060 836920 854854 858880 880880 888160 896896 920612 944768 948640 956480 959530 965888 976976 980980 1006720 1015040 1033340 1052128 1079078 1084160 1087996 1116544 1121120 1141504 1150765 1180960 1202432 1207360 1221220 1233232 1243424 1281280 1315160 1328096 1339072 1343342 1359995 1395680 1409408 1421056 1426880 1446676 1503040 1517824 1535248 1541540 1554280 1569568 1653344 1660120 1673840 1709708 1761760 1776320 1793792 1808345 1841224 1889536 1897280 1912960 1919060 1953952 1961960 2013440 2066680 2104256 2137135 2158156 2175992 2233088 2242240 2301530 2361920 2414720 2442440 2466464 2486848 2531683 2630320 2656192 2678144 2686684 2697695 2719990 2791360 2818816 2853760 2893352 2991989 3006080 3070496 3083080 3108560 3139136 3306688 3320240 3347680 3358355 3419416 3523520 3552640 3616690 3682448 3794560 3825920 3838120 3907904 3923920 4133360 4208512 4274270 4316312 4351984 4484480 4603060 4701697 4723840 4829440 4884880 4932928 4973696 5063366 5260640 5312384 5356288 5373368 5395390 5439980 5582720 5707520 5786704 5983978 6012160 6140992 6166160 6217120 6278272 6613376 6640480 6695360 6716710 6838832 7047040 7105280 7233380 7364896 7589120 7676240 7815808 7847840 8266720 8417024 8548540 8632624 8703968 8968960 9206120 9403394 9447680 9769760 9865856 9947392 10126732 10521280 10624768 10746736 10790780 10879960 11165440 11573408 11967956 12281984 12332320 12434240 12556544 12658415 13226752 13280960 13390720 13433420 13677664 14094080 14466760 14729792 14959945 15352480 15631616 15695680 16533440 17097080 17265248 17407936 18412240 18806788 19539520 19731712 20253464 21042560 21493472 21581560 21759920 23146816 23508485 23935912 24563968 24664640 24868480 25316830 26561920 26781440 26866840 27355328 28933520 29459584 29919890 30704960 31391360 32911879 33066880 34194160 34530496 34815872 36824480 37613576 39079040 40506928 42085120 42986944 43163120 43519840 46293632 47016970 47871824 49329280 49736960 50633660 53123840 53733680 54710656 57867040 58919168 59839780 61409920 62782720 65823758 66133760 68388320 69060992 69631744 73648960 75227152 78158080 81013856 85973888 86326240 87039680 92587264 94033940 95743648 98658560 101267320 107467360 109421312 115734080 119679560 122819840 131647516 136776640 138121984 147297920 150454304 162027712 164559395 171947776 172652480 174079360 188067880 191487296 202534640 214934720 231468160 239359120 263295032 273553280 294595840 300908608 324055424 329118790 345304960 348158720 376135760 382974592 405069280 429869440 462936320 478718240 526590064 547106560 601817216 648110848 658237580 690609920 752271520 765949184 810138560 859738880 957436480 1053180128 1203634432 1316475160 1504543040 1620277120 1914872960 2106360256 2632950320 3009086080 3240554240 3829745920 4212720512 5265900640 6018172160 8425441024 10531801280 21063602560 42127205120
- Sum of all divisors σ(n): 141580521600
- Sum of proper divisors (its aliquot sum) s(n): 99453316480
- 42127205120 is an abundant number, because the sum of its proper divisors (99453316480) is greater than itself. Its abundance is 57326111360
Bases of 42127205120
- Binary: 1001110011101111101000100011000000002
- Hexadecimal: 0x9CEFA2300
- Base-36: JCPG7I8
Squares and roots of 42127205120
- 42127205120 squared (421272051202) is 1774701411222554214400
- 42127205120 cubed (421272051203) is 74763210377326011360349257728000
-
The
square root of 42127205120 is 205249.1294013205 -
The
cube root of 42127205120 is 3479.5323809071
Scales and comparisons
How big is 42127205120?- 42,127,205,120 seconds is equal to 1,339 years, 26 weeks, 5 days, 9 hours, 25 minutes, 20 seconds.
-
To count from 1 to 42,127,205,120 would take you about two thousand, six hundred seventy-nine 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 42127205120 cubic inches would be around 290 feet tall.
Recreational maths with 42127205120
- 42127205120 backwards is 02150272124
- 42127205120 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42127205120's digits is 26
- More coming soon!
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The information we have on file for 42127205120 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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