40364438091216
40,364,438,091,216 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40364438091216 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
40364438091216 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 40364438091216:
24 × 3 × 17 × 19 × 472 × 61 × 1392
(2 × 2 × 2 × 2 × 3 × 17 × 19 × 47 × 47 × 61 × 139 × 139)See below for interesting mathematical facts about the number 40364438091216 from the Numbermatics database.
Names of 40364438091216
- Cardinal: 40364438091216 can be written as Forty trillion, three hundred sixty-four billion, four hundred thirty-eight million, ninety-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.0364438091216 × 1013
Factors of 40364438091216
Divisors of 40364438091216
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 34 38 47 48 51 57 61 68 76 94 102 114 122 136 139 141 152 183 188 204 228 244 272 278 282 304 323 366 376 408 417 456 488 556 564 646 732 752 799 816 834 893 912 969 976 1037 1112 1128 1159 1292 1464 1598 1668 1786 1938 2074 2209 2224 2256 2318 2363 2397 2584 2641 2679 2867 2928 3111 3196 3336 3477 3572 3876 4148 4418 4636 4726 4794 5168 5282 5358 5734 6222 6392 6533 6627 6672 6954 7089 7144 7752 7923 8296 8479 8601 8836 9272 9452 9588 10564 10716 11468 12444 12784 13066 13254 13908 14178 14288 15181 15504 15846 16592 16958 17202 17672 18544 18904 19176 19321 19599 19703 21128 21432 22936 24888 25437 26132 26508 27816 28356 30362 31692 33916 34404 35344 37553 37808 38352 38642 39198 39406 41971 42256 42864 44897 45543 45872 48739 49776 50874 52264 53016 54473 55632 56712 57963 59109 60724 63384 67832 68808 75106 77284 78396 78812 83942 89794 91086 97478 101748 104528 106032 108946 111061 112659 113424 115926 118218 121448 124127 125913 126768 134691 134749 135664 137616 144143 146217 150212 154568 156792 157624 161101 163419 167884 179588 182172 194956 203496 217892 222122 225318 231852 236436 242896 248254 251826 269382 269498 288286 292434 300424 307051 309136 313584 315248 322202 326838 328457 333183 335768 359176 364344 367099 372381 389912 398513 404247 406992 432429 435784 444244 450636 463704 472872 483303 496508 503652 538764 538996 576572 584868 600848 614102 644404 653676 656914 666366 671536 713507 718352 728688 734198 744762 779824 797026 808494 864858 871568 888488 901272 908087 921153 926041 927408 945744 966606 985371 993016 1007304 1077528 1077992 1101297 1153144 1169736 1178581 1195539 1228204 1288808 1307352 1313828 1332732 1427014 1468396 1489524 1594052 1616988 1729716 1776976 1802544 1816174 1842306 1852082 1933212 1970742 1986032 2014608 2110159 2140521 2155056 2155984 2202594 2290733 2306288 2339472 2357162 2391078 2456408 2560231 2577616 2614704 2627656 2665464 2724261 2738717 2778123 2854028 2936792 2979048 3188104 3233976 3459432 3535743 3632348 3684612 3704164 3866424 3941484 4220318 4281042 4405188 4581466 4714324 4782156 4912816 5120462 5219867 5255312 5330928 5448522 5477434 5556246 5708056 5833969 5873584 5958096 6240683 6330477 6376208 6467952 6774721 6872199 6918864 7071486 7264696 7369224 7408328 7571747 7680693 7732848 7882968 8216151 8440636 8562084 8810376 9162932 9428648 9564312 10240924 10439734 10897044 10954868 11112492 11416112 11667938 12481366 12660954 13549442 13744398 14142972 14529392 14738448 14816656 15143494 15361386 15437479 15659601 15765936 16432302 16881272 17124168 17253653 17501907 17620752 18325864 18722049 18730111 18857296 19128624 20035877 20324163 20481848 20879468 21794088 21909736 22224984 22393039 22715241 23335876 24962732 25321908 27098884 27488796 28285944 30286988 30722772 30874958 31319202 32864604 33762544 34248336 34507306 35003814 36651728 37444098 37460222 40071754 40648326 40963696 41758936 42680089 43523927 43588176 43819472 44449968 44786078 45430482 46312437 46671752 49925464 50643816 51760959 54197768 54977592 55393307 56190333 56571888 60107631 60573976 61445544 61749916 62638404 65729208 67179117 69014612 70007628 74888196 74920444 80143508 81296652 83517872 85360178 87047854 89572156 90860964 92624874 93343504 99177473 99850928 101287632 103521918 108395536 109955184 110786614 112380666 120215262 121147952 122891088 123499832 125276808 128040267 128719699 130571781 131458416 134358234 138029224 140015256 149776392 149840888 160287016 162593304 166179921 170720356 174095708 179144312 181721928 185249748 198354946 207043836 221573228 224761332 240430524 246999664 250553616 256080534 257439398 261143562 268716468 276058448 280030512 293312101 297532419 299552784 299681776 318411887 320574032 325186608 332359842 341440712 348191416 355872109 358288624 363443856 370499496 380681663 386159097 396709892 414087672 443146456 449522664 480861048 512161068 514878796 522287124 537432936 586624202 595064838 636823774 664719684 682881424 696382832 711744218 725561513 740998992 761363326 772318194 793419784 810921691 828175344 879936303 886292912 899045328 941686219 955235661 961722096 1024322136 1029757592 1044574248 1052472833 1067616327 1074865872 1142044989 1173248404 1190129676 1273647548 1329439368 1423488436 1451123026 1522726652 1544636388 1586839568 1621843382 1759872606 1883372438 1910471322 2048644272 2059515184 2089148496 2104945666 2135232654 2176684539 2284089978 2346496808 2380259352 2432765073 2547295096 2603485429 2658878736 2825058657 2846976872 2902246052 3045453304 3089272776 3157418499 3243686764 3519745212 3766744876 3820942644 4209891332 4270465308 4353369078 4568179956 4692993616 4760518704 4865530146 5094590192 5206970858 5650117314 5693953744 5804492104 6049825853 6090906608 6178545552 6314836998 6487373528 7039490424 7533489752 7641885288 7810456287 8419782664 8540930616 8706738156 9136359912 9731060292 10413941716 11300234628 11608984208 12099651706 12629673996 12974747056 13785668747 14078980848 15066979504 15283770576 15620912574 16839565328 17081861232 17413476312 17892038161 18149477559 18272719824 19462120584 20827883432 22600469256 24199303412 25259347992 27571337494 31241825148 34826952624 35784076322 36298955118 38924241168 41357006241 41655766864 44259252293 45200938512 48398606824 49466223151 50518695984 53676114483 55142674988 62483650296 71568152644 72597910236 82714012482 88518504586 96797213648 98932446302 107352228966 110285349976 124967300592 132777756879 143136305288 145195820472 148398669453 165428024964 177037009172 197864892604 214704457932 220570699952 265555513758 286272610576 290391640944 296797338906 330856049928 354074018344 395729785208 429408915864 531111027516 593594677812 661712099856 708148036688 791459570416 840925793567 858817831728 1062222055032 1187189355624 1681851587134 2124444110064 2374378711248 2522777380701 3363703174268 5045554761402 6727406348536 10091109522804 13454812697072 20182219045608 40364438091216
- Sum of all divisors σ(n): 121566128823360
- Sum of proper divisors (its aliquot sum) s(n): 81201690732144
- 40364438091216 is an abundant number, because the sum of its proper divisors (81201690732144) is greater than itself. Its abundance is 40837252640928
Bases of 40364438091216
- Binary: 10010010110110000100111111111001110101110100002
- Hexadecimal: 0x24B613FE75D0
- Base-36: EB3609DQO
Squares and roots of 40364438091216
- 40364438091216 squared (403644380912162) is 1629287862419609161536358656
- 40364438091216 cubed (403644380912163) is 65765289055405965643533402994575819165696
-
The
square root of 40364438091216 is 6353301.3537228029 -
The
cube root of 40364438091216 is 34303.0684840281
Scales and comparisons
How big is 40364438091216?- 40,364,438,091,216 seconds is equal to 1,283,464 years, 14 weeks, 2 days, 10 hours, 13 minutes, 36 seconds.
-
To count from 1 to 40,364,438,091,216 would take you about three million, two hundred eight thousand, six hundred sixty 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 40364438091216 cubic inches would be around 2858.6 feet tall.
Recreational maths with 40364438091216
- 40364438091216 backwards is 61219083446304
- 40364438091216 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40364438091216's digits is 51
- More coming soon!
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The information we have on file for 40364438091216 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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