71407638324864
71,407,638,324,864 is an even composite number composed of six prime numbers multiplied together.
71407638324864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 71407638324864:
27 × 32 × 23 × 73 × 277 × 133279
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 73 × 277 × 133279)See below for interesting mathematical facts about the number 71407638324864 from the Numbermatics database.
Names of 71407638324864
- Cardinal: 71407638324864 can be written as Seventy-one trillion, four hundred seven billion, six hundred thirty-eight million, three hundred twenty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 7.1407638324864 × 1013
Factors of 71407638324864
Divisors of 71407638324864
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 73 92 96 128 138 144 146 184 192 207 219 276 277 288 292 368 384 414 438 552 554 576 584 657 736 828 831 876 1104 1108 1152 1168 1314 1472 1656 1662 1679 1752 2208 2216 2336 2493 2628 2944 3312 3324 3358 3504 4416 4432 4672 4986 5037 5256 6371 6624 6648 6716 7008 8832 8864 9344 9972 10074 10512 12742 13248 13296 13432 14016 15111 17728 19113 19944 20148 20221 21024 25484 26496 26592 26864 28032 30222 35456 38226 39888 40296 40442 42048 50968 53184 53728 57339 60444 60663 76452 79776 80592 80884 84096 101936 106368 107456 114678 120888 121326 133279 152904 159552 161184 161768 181989 203872 214912 229356 241776 242652 266558 305808 319104 322368 323536 363978 399837 407744 458712 465083 483552 485304 533116 611616 644736 647072 727956 799674 815488 917424 930166 967104 970608 1066232 1199511 1223232 1294144 1395249 1455912 1599348 1834848 1860332 1934208 1941216 2132464 2399022 2446464 2588288 2790498 2911824 3065417 3198696 3669696 3720664 3882432 4185747 4264928 4798044 5580996 5823648 6130834 6397392 7339392 7441328 7764864 8371494 8529856 9196251 9596088 9729367 11161992 11647296 12261668 12794784 14882656 16742988 17059712 18392502 19192176 19458734 22323984 23294592 24523336 25589568 27588753 29188101 29765312 33485976 36785004 36918283 38384352 38917468 44647968 49046672 51179136 55177506 58376202 59530624 66971952 73570008 73836566 76768704 77834936 87564303 89295936 98093344 110355012 110754849 116752404 133943904 147140016 147673132 153537408 155669872 175128606 178591872 196186688 220710024 221509698 223775441 233504808 267887808 294280032 295346264 311339744 332264547 350257212 392373376 441420048 443019396 447550882 467009616 535775616 588560064 590692528 622679488 664529094 671326323 700514424 849120509 882840096 886038792 895101764 934019232 1177120128 1181385056 1245358976 1329058188 1342652646 1401028848 1698241018 1765680192 1772077584 1790203528 1868038464 2013978969 2362770112 2547361527 2658116376 2685305292 2695034659 2802057696 3396482036 3531360384 3544155168 3580407056 3736076928 4027957938 4725540224 5094723054 5316232752 5370610584 5390069318 5604115392 6792964072 7088310336 7160814112 7642084581 8055915876 8085103977 10189446108 10632465504 10741221168 10780138636 11208230784 13585928144 14176620672 14321628224 15284169162 16111831752 16170207954 20378892216 21264931008 21482442336 21560277272 24255311931 27171856288 28643256448 30568338324 32223663504 32340415908 40757784432 42529862016 42964884672 43120554544 48510623862 54343712576 61136676648 61985797157 64447327008 64680831816 81515568864 85929769344 86241109088 97021247724 108687425152 122273353296 123971594314 128894654016 129361663632 163031137728 172482218176 185957391471 194042495448 244546706592 247943188628 257789308032 258723327264 326062275456 344964436352 371914782942 388084990896 489093413184 495886377256 517446654528 557872174413 743829565884 776169981792 978186826368 991772754512 1034893309056 1115744348826 1487659131768 1552339963584 1983545509024 2231488697652 2975318263536 3104679927168 3967091018048 4462977395304 5950636527072 7934182036096 8925954790608 11901273054144 17851909581216 23802546108288 35703819162432 71407638324864
- Sum of all divisors σ(n): 218140484889600
- Sum of proper divisors (its aliquot sum) s(n): 146732846564736
- 71407638324864 is an abundant number, because the sum of its proper divisors (146732846564736) is greater than itself. Its abundance is 75325208239872
Bases of 71407638324864
- Binary: 100000011110001111000101110101010100110100000002
- Hexadecimal: 0x40F1E2EAA680
- Base-36: PB87S61S0
Squares and roots of 71407638324864
- 71407638324864 squared (714076383248642) is 5099050811134585928000618496
- 71407638324864 cubed (714076383248643) is 364111176121602923934988352252465375084544
-
The
square root of 71407638324864 is 8450304.0374216123 -
The
cube root of 71407638324864 is 41487.2730751605
Scales and comparisons
How big is 71407638324864?- 71,407,638,324,864 seconds is equal to 2,270,542 years, 1 week, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 71,407,638,324,864 would take you about five million, six hundred seventy-six thousand, three hundred fifty-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 71407638324864 cubic inches would be around 3457.3 feet tall.
Recreational maths with 71407638324864
- 71407638324864 backwards is 46842383670417
- The number of decimal digits it has is: 14
- The sum of 71407638324864's digits is 63
- More coming soon!
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