42642145728
42,642,145,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42642145728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
42642145728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42642145728:
26 × 32 × 72 × 13 × 23 × 31 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 23 × 31 × 163)See below for interesting mathematical facts about the number 42642145728 from the Numbermatics database.
Names of 42642145728
- Cardinal: 42642145728 can be written as Forty-two billion, six hundred forty-two million, one hundred forty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2642145728 × 1010
Factors of 42642145728
Divisors of 42642145728
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 31 32 36 39 42 46 48 49 52 56 62 63 64 69 72 78 84 91 92 93 96 98 104 112 117 124 126 138 144 147 156 161 163 168 182 184 186 192 196 207 208 217 224 234 248 252 273 276 279 288 294 299 312 322 326 336 364 368 372 392 403 414 416 434 441 448 468 483 489 496 504 546 552 558 576 588 598 624 637 644 651 652 672 713 728 736 744 784 806 819 828 832 868 882 897 936 966 978 992 1008 1092 1104 1116 1127 1141 1176 1196 1209 1248 1274 1288 1302 1304 1344 1426 1449 1456 1467 1472 1488 1519 1568 1612 1638 1656 1736 1764 1794 1872 1911 1932 1953 1956 1984 2016 2093 2119 2139 2184 2208 2232 2254 2282 2352 2392 2418 2496 2548 2576 2604 2608 2691 2821 2852 2898 2912 2934 2976 3038 3136 3224 3276 3312 3381 3423 3472 3528 3588 3627 3744 3749 3822 3864 3906 3912 4032 4186 4238 4278 4368 4416 4464 4508 4557 4564 4704 4784 4836 4991 5053 5096 5152 5208 5216 5382 5642 5704 5733 5796 5824 5868 5952 6076 6279 6357 6417 6448 6552 6624 6762 6846 6944 7056 7176 7254 7488 7498 7644 7728 7812 7824 7987 8372 8463 8476 8556 8736 8928 9016 9114 9128 9269 9408 9568 9672 9982 10106 10143 10192 10269 10304 10416 10432 10764 11247 11284 11408 11466 11592 11736 12152 12558 12714 12834 12896 13104 13248 13524 13671 13692 13888 14112 14352 14508 14651 14833 14973 14996 15159 15288 15456 15624 15648 15974 16744 16926 16952 17112 17472 17856 18032 18228 18256 18538 18837 19071 19136 19344 19747 19964 20212 20286 20384 20538 20832 21528 22494 22568 22816 22932 23184 23472 23961 24304 25116 25389 25428 25668 25792 26208 26243 27048 27342 27384 27807 28224 28704 29016 29302 29666 29946 29992 30318 30576 30912 31248 31296 31948 33488 33741 33852 33904 34224 34937 35371 36064 36456 36512 37076 37674 38142 38688 39494 39928 40424 40572 40768 41076 41664 43056 43953 44499 44919 44988 45136 45477 45632 45864 46368 46944 47922 48608 48737 50232 50778 50856 51336 52416 52486 54096 54684 54768 55614 57408 58032 58604 59241 59332 59892 59984 60636 61152 62496 63896 64883 65689 66976 67482 67704 67808 68448 69874 70742 71883 72128 72912 73024 74152 75348 76284 77376 78729 78988 79856 80848 81144 82152 83421 86112 87906 88998 89838 89976 90272 90954 91728 92736 93888 95844 97216 97474 100464 101556 101712 102672 103831 104811 104972 106113 108192 109368 109536 111228 116064 116219 117208 118482 118664 119784 119968 121272 122304 124992 127792 129766 131378 131859 133497 133952 134964 135408 135616 136896 139748 141484 143766 145824 146211 148304 150696 152568 157458 157976 159712 161696 162288 164304 166842 172224 175812 177723 177996 179676 179952 180544 181908 183456 183701 191688 194649 194948 197067 200928 203112 203424 205344 207662 209622 209944 212226 216384 218736 219072 222456 232128 232438 234416 236187 236964 237328 239568 239936 242544 247597 255584 259532 262756 263718 266994 269928 270816 279496 282968 287532 291648 292422 296608 301392 305136 311493 314433 314916 315952 318339 319424 323392 324576 328608 333684 341159 348657 351624 355446 355992 359352 359904 363816 366912 367402 383376 389298 389896 394134 401856 406224 406848 410688 415324 419244 419888 424452 437472 438633 444912 454181 459823 464876 468832 472374 473928 474656 479136 485088 495194 511168 519064 525512 527436 533988 539856 541632 551103 558992 565936 575064 583947 584844 591201 593216 602784 610272 622986 628866 629832 631904 636678 649152 657216 667368 682318 697314 703248 710892 711984 718704 719808 727632 734804 742791 766752 778596 779792 788268 812448 813533 830648 838488 839776 848904 874944 877266 889824 908362 919646 929752 934479 937664 944748 947856 949312 958272 970176 990388 1023477 1038128 1045971 1051024 1054872 1067976 1079712 1102206 1117984 1131872 1150128 1167894 1169688 1182402 1205568 1220544 1245972 1257732 1259664 1263808 1273356 1334736 1362543 1364636 1379469 1394628 1406496 1421784 1423968 1437408 1455264 1469608 1485582 1510847 1533504 1557192 1559584 1576536 1624896 1627066 1653309 1661296 1676976 1679552 1697808 1754532 1779648 1816724 1839292 1859504 1868958 1889496 1895712 1980776 2046954 2076256 2091942 2102048 2109744 2135952 2159424 2204412 2228373 2235968 2263744 2300256 2335788 2339376 2364804 2388113 2440599 2491944 2515464 2519328 2546712 2669472 2725086 2729272 2758938 2789256 2812992 2843568 2847936 2874816 2910528 2939216 2971164 3021694 3070431 3114384 3119168 3153072 3218761 3254132 3306618 3322592 3353952 3395616 3509064 3633448 3678584 3719008 3737916 3778992 3791424 3961552 4087629 4093908 4138407 4152512 4183884 4204096 4219488 4271904 4408824 4456746 4532541 4600512 4671576 4678752 4729608 4776226 4881198 4983888 5030928 5038656 5093424 5338944 5450172 5458544 5517876 5578512 5687136 5694731 5878432 5942328 6043388 6140862 6228768 6306144 6437522 6508264 6613236 6645184 6707904 6791232 7018128 7164339 7266896 7321797 7357168 7438016 7475832 7557984 7923104 8175258 8187816 8276814 8367768 8438976 8543808 8817648 8913492 9065082 9343152 9357504 9459216 9552452 9656283 9762396 9967776 10061856 10186848 10575929 10900344 10917088 11035752 11157024 11374272 11389462 11756864 11884656 12086776 12281724 12457536 12612288 12875044 13016528 13226472 13597623 14036256 14328678 14533792 14643594 14714336 14951664 15115968 15846208 16350516 16375632 16553628 16735536 17084193 17635296 17826984 18130164 18686304 18918432 19104904 19312566 19524792 19935552 20123712 20373696 21151858 21493017 21800688 21834176 22071504 22314048 22778924 23769312 24173552 24563448 25750088 26033056 26452944 27195246 28072512 28657356 28968849 29067584 29287188 29428672 29903328 31727787 32701032 32751264 33107256 33471072 34168386 35270592 35653968 36260328 37372608 37836864 38209808 38625132 39049584 42303716 42986034 43601376 44143008 45557848 47538624 48347104 49126896 51252579 51500176 52066112 52905888 54390492 57314712 57937698 58574376 59806656 63455574 65402064 65502528 66214512 66942144 68336772 71307936 72520656 74031503 76419616 77250264 78099168 84607432 85972068 87202752 88286016 91115696 95183361 96694208 98253792 102505158 103000352 105811776 108780984 114629424 115875396 117148752 126911148 130804128 132429024 136673544 142615872 145041312 148063006 152839232 154500528 156198336 169214864 171944136 182231392 190366722 196507584 205010316 206000704 217561968 222094509 229258848 231750792 234297504 253822296 261608256 264858048 273347088 290082624 296126012 309001056 338429728 343888272 364462784 380733444 410020632 435123936 444189018 458517696 463501584 468595008 507644592 546694176 592252024 618002112 666283527 676859456 687776544 761466888 820041264 870247872 888378036 927003168 1015289184 1093388352 1184504048 1332567054 1375553088 1522933776 1640082528 1776756072 1854006336 2030578368 2369008096 2665134108 3045867552 3280165056 3553512144 4738016192 5330268216 6091735104 7107024288 10660536432 14214048576 21321072864 42642145728
- Sum of all divisors σ(n): 165941508096
- Sum of proper divisors (its aliquot sum) s(n): 123299362368
- 42642145728 is an abundant number, because the sum of its proper divisors (123299362368) is greater than itself. Its abundance is 80657216640
Bases of 42642145728
- Binary: 1001111011011010101110000001110000002
- Hexadecimal: 0x9EDAB81C0
- Base-36: JL81680
Squares and roots of 42642145728
- 42642145728 squared (426421457282) is 1818352592287988649984
- 42642145728 cubed (426421457283) is 77538456225230980956627712868352
-
The
square root of 42642145728 is 206499.7475252693 -
The
cube root of 42642145728 is 3493.6523240099
Scales and comparisons
How big is 42642145728?- 42,642,145,728 seconds is equal to 1,355 years, 46 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
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To count from 1 to 42,642,145,728 would take you about two thousand, seven hundred eleven 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 42642145728 cubic inches would be around 291.1 feet tall.
Recreational maths with 42642145728
- 42642145728 backwards is 82754124624
- The number of decimal digits it has is: 11
- The sum of 42642145728's digits is 45
- More coming soon!
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The information we have on file for 42642145728 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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