42257733764480
42,257,733,764,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42257733764480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
42257733764480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42257733764480:
27 × 5 × 132 × 31 × 41 × 97 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 31 × 41 × 97 × 3169)See below for interesting mathematical facts about the number 42257733764480 from the Numbermatics database.
Names of 42257733764480
- Cardinal: 42257733764480 can be written as Forty-two trillion, two hundred fifty-seven billion, seven hundred thirty-three million, seven hundred sixty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.225773376448 × 1013
Factors of 42257733764480
Divisors of 42257733764480
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 40 41 52 62 64 65 80 82 97 104 124 128 130 155 160 164 169 194 205 208 248 260 310 320 328 338 388 403 410 416 485 496 520 533 620 640 656 676 776 806 820 832 845 970 992 1040 1066 1240 1261 1271 1312 1352 1552 1612 1640 1664 1690 1940 1984 2015 2080 2132 2480 2522 2542 2624 2665 2704 3007 3104 3169 3224 3280 3380 3880 3968 3977 4030 4160 4264 4960 5044 5084 5239 5248 5330 5408 6014 6208 6305 6338 6355 6448 6560 6760 6929 7760 7954 8060 8320 8528 9920 10088 10168 10478 10660 10816 12028 12416 12610 12676 12710 12896 13120 13520 13858 15035 15520 15845 15908 16120 16393 16523 17056 19840 19885 20176 20336 20956 21320 21632 24056 25220 25352 25420 25792 26195 26240 27040 27716 30070 31040 31690 31816 32240 32786 33046 34112 34645 39091 39770 40352 40672 41197 41912 42640 48112 50440 50704 50840 51584 51701 52390 54080 55432 60140 62080 63380 63632 64480 65572 66092 68224 69290 78182 79540 80704 81344 81965 82394 82615 83824 85280 96224 98239 100880 101408 101680 103402 104780 108160 110864 120280 123287 126760 127264 128960 129929 131144 132184 138580 156364 159080 161408 162688 163930 164788 165230 167648 170560 192448 195455 196478 201760 202816 203360 205985 206804 209560 214799 221728 240560 246574 253520 254528 257920 258505 259858 262288 264368 277160 307393 312728 318160 327860 329576 330460 335296 341120 384896 390910 392956 403520 405632 406720 411970 413608 419120 429598 443456 481120 491195 493148 507040 508183 509056 517010 519716 524576 528736 535561 554320 614786 616435 625456 636320 649645 655720 659152 660920 670592 672113 781820 785912 807040 813440 823940 827216 838240 859196 886912 962240 982390 986296 1014080 1016366 1034020 1039432 1049152 1057472 1071122 1073995 1108640 1229572 1232870 1250912 1272640 1277107 1299290 1311440 1318304 1321840 1344226 1536965 1563640 1571824 1602731 1647880 1654432 1676480 1689077 1718392 1924480 1964780 1972592 2028160 2032732 2068040 2078864 2098304 2114944 2142244 2147990 2217280 2459144 2465740 2501824 2540915 2545280 2554214 2598580 2622880 2636608 2643680 2677805 2688452 3073930 3127280 3143648 3205462 3295760 3308864 3352960 3360565 3378154 3436784 3929560 3945184 3996109 4027799 4065464 4136080 4157728 4284488 4295980 4434560 4918288 4931480 5003648 5081830 5108428 5197160 5245760 5273216 5287360 5355610 5376904 6147860 6254560 6287296 6385535 6410924 6591520 6617728 6721130 6756308 6873568 7859120 7890368 7992218 8013655 8055598 8130928 8272160 8315456 8445385 8568976 8591960 9529183 9836576 9862960 10163660 10216856 10394320 10491520 10574720 10711220 10753808 12295720 12509120 12574592 12603113 12771070 12821848 13183040 13442260 13512616 13747136 15718240 15780736 15984436 16027310 16111196 16261856 16544320 16602391 16630912 16890770 17137952 17183920 19058366 19673152 19725920 19980545 20138995 20327320 20433712 20788640 20835503 21422440 21507616 21958001 24591440 25018240 25206226 25542140 25643696 26366080 26884520 27025232 27494272 31436480 31968872 32054620 32222392 32523712 33088640 33204782 33781540 34275904 34367840 38116732 39346304 39451840 39961090 40277990 40654640 40867424 41577280 41671006 42844880 43015232 43916002 47645915 49182880 50412452 51084280 51287392 51949417 52361387 53769040 54050464 62872960 63015565 63937744 64109240 64444784 65047424 66409564 67563080 68551808 68735680 76233464 78903680 79922180 80555980 81309280 81734848 83011955 83154560 83342012 85689760 86030464 87832004 95291830 98365760 100824904 102168560 102574784 103898834 104177515 104722774 107538080 108100928 109790005 123879379 126031130 127875488 128218480 128889568 132819128 135126160 137471360 152466928 159844360 161111960 162618560 163469696 163840469 166023910 166684024 171379520 175664008 190583660 196731520 201649808 204337120 205149568 207797668 208355030 209445548 215076160 216201856 219580010 247758758 252062260 255750976 256436960 257779136 259747085 261806935 265638256 270252320 304933856 319688720 322223920 325237120 327680938 332047820 333368048 342759040 351328016 381167320 390696503 403299616 408674240 415595336 416710060 418891096 430152320 439160020 495517516 504124520 511501952 512873920 515558272 519494170 523613870 531276512 540504640 609867712 619396895 639377440 644447840 655361876 664095640 666736096 680698031 702656032 762334640 781393006 806599232 817348480 819202345 831190672 833420120 837782192 878320040 991035032 1008249040 1025747840 1038988340 1047227740 1062553024 1081009280 1219735424 1238793790 1278754880 1288895680 1310723752 1328191280 1333472192 1361396062 1405312064 1524669280 1562786012 1610431927 1613198464 1638404690 1662381344 1666840240 1675564384 1756640080 1953482515 1982070064 2016498080 2077976680 2094455480 2125106048 2129926097 2477587580 2557509760 2577791360 2621447504 2656382560 2666944384 2722792124 2810624128 3049338560 3125572024 3220863854 3276809380 3324762688 3333680480 3351128768 3403490155 3513280160 3906965030 3964140128 4032996160 4155953360 4188910960 4259852194 4955175160 5079054539 5242895008 5312765120 5445584248 6098677120 6251144048 6441727708 6553618760 6649525376 6667360960 6702257536 6806980310 7026560320 7813930060 7928280256 8052159635 8065992320 8311906720 8377821920 8519704388 9910350320 10158109078 10485790016 10625530240 10649630485 10891168496 12502288096 12883455416 13107237520 13334721920 13613960620 14053120640 15627860120 15856560512 16104319270 16623813440 16755643840 17039408776 19820700640 20316218156 20971580032 21299260970 21782336992 25004576192 25395272695 25766910832 26214475040 27227921240 31255720240 32208638540 33247626880 33511287680 34078817552 39641401280 40632436312 42598521940 43564673984 50009152384 50790545390 51533821664 52428950080 54455842480 62511440480 64417277080 66027709007 68157635104 79282802560 81264872624 85197043880 87129347968 101581090780 103067643328 104857900160 108911684960 125022880960 128834554160 132055418014 136315270208 162529745248 170394087760 203162181560 206135286656 217823369920 250045761920 257669108320 264110836028 272630540416 325059490496 330138545035 340788175520 406324363120 435646739840 515338216640 528221672056 650118980992 660277090070 681576351040 812648726240 1030676433280 1056443344112 1320554180140 1363152702080 1625297452480 2112886688224 2641108360280 3250594904960 4225773376448 5282216720560 8451546752896 10564433441120 21128866882240 42257733764480
- Sum of all divisors σ(n): 116903395929600
- Sum of proper divisors (its aliquot sum) s(n): 74645662165120
- 42257733764480 is an abundant number, because the sum of its proper divisors (74645662165120) is greater than itself. Its abundance is 32387928400640
Bases of 42257733764480
- Binary: 10011001101110111001010011010111000101100000002
- Hexadecimal: 0x266EE535C580
- Base-36: EZ8XNMCU8
Squares and roots of 42257733764480
- 42257733764480 squared (422577337644802) is 1785716062909673032109670400
- 42257733764480 cubed (422577337644803) is 75460313965392381881377718068404027392000
-
The
square root of 42257733764480 is 6500594.8777384983 -
The
cube root of 42257733764480 is 34831.2238383393
Scales and comparisons
How big is 42257733764480?- 42,257,733,764,480 seconds is equal to 1,343,665 years, 11 weeks, 3 days, 19 hours, 1 minute, 20 seconds.
-
To count from 1 to 42,257,733,764,480 would take you about three million, three hundred fifty-nine thousand, one hundred sixty-three 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 42257733764480 cubic inches would be around 2902.6 feet tall.
Recreational maths with 42257733764480
- 42257733764480 backwards is 08446733775224
- 42257733764480 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42257733764480's digits is 62
- More coming soon!
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The information we have on file for 42257733764480 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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