1398135437602816
1,398,135,437,602,816 is an even composite number composed of four prime numbers multiplied together.
What does the number 1398135437602816 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 624 divisors.
1398135437602816 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 1398135437602816:
212 × 113 × 413 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 41 × 41 × 41 × 61 × 61)See below for interesting mathematical facts about the number 1398135437602816 from the Numbermatics database.
Names of 1398135437602816
- Cardinal: 1398135437602816 can be written as One quadrillion, three hundred ninety-eight trillion, one hundred thirty-five billion, four hundred thirty-seven million, six hundred two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.398135437602816 × 1015
Factors of 1398135437602816
Divisors of 1398135437602816
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 8 11 16 22 32 41 44 61 64 82 88 121 122 128 164 176 242 244 256 328 352 451 484 488 512 656 671 704 902 968 976 1024 1312 1331 1342 1408 1681 1804 1936 1952 2048 2501 2624 2662 2684 2816 3362 3608 3721 3872 3904 4096 4961 5002 5248 5324 5368 5632 6724 7216 7381 7442 7744 7808 9922 10004 10496 10648 10736 11264 13448 14432 14762 14884 15488 15616 18491 19844 20008 20992 21296 21472 22528 26896 27511 28864 29524 29768 30976 31232 36982 39688 40016 40931 41984 42592 42944 45056 53792 54571 55022 57728 59048 59536 61952 62464 68921 73964 79376 80032 81191 81862 83968 85184 85888 102541 107584 109142 110044 115456 118096 119072 123904 124928 137842 147928 152561 158752 160064 162382 163724 167936 170368 171776 203401 205082 215168 218284 220088 230912 236192 238144 247808 249856 275684 295856 302621 305122 317504 320128 324764 327448 340736 343552 406802 410164 430336 436568 440176 450241 461824 472384 476288 495616 551368 591712 605242 610244 635008 640256 649528 654896 681472 687104 758131 813604 820328 860672 873136 880352 900482 923648 944768 952576 1102736 1127951 1183424 1210484 1220488 1270016 1280512 1299056 1309792 1362944 1374208 1516262 1627208 1640656 1678171 1721344 1746272 1760704 1800964 1847296 1889536 1905152 2205472 2237411 2255902 2366848 2420968 2440976 2540032 2561024 2598112 2619584 2725888 2748416 3032524 3254416 3281312 3328831 3356342 3442688 3492544 3521408 3601928 3779072 3810304 4204181 4410944 4474822 4511804 4733696 4841936 4881952 4952651 5080064 5122048 5196224 5239168 5451776 6065048 6255001 6508832 6562624 6657662 6712684 6885376 6985088 7042816 7203856 7558144 7620608 8339441 8408362 8821888 8949644 9023608 9467392 9683872 9763904 9905302 10160128 10244096 10392448 10478336 12130096 12407461 12510002 13017664 13125248 13315324 13425368 13970176 14085632 14407712 15116288 15241216 16678882 16816724 17643776 17899288 18047216 18459881 18934784 19367744 19527808 19810604 20320256 20784896 20956672 24260192 24814922 25020004 26035328 26250496 26630648 26850736 27940352 28171264 28815424 30232576 33357764 33633448 35287552 35798576 36094432 36919762 37869568 38735488 39055616 39621208 41569792 41913344 46245991 48520384 49629844 50040008 52070656 52500992 53261296 53701472 55880704 56342528 57630848 66715528 67266896 68805011 70575104 71597152 72188864 73839524 75739136 77470976 78111232 79242416 83139584 83826688 91733851 92491982 97040768 99259688 100080016 104141312 105001984 106522592 107402944 111761408 112685056 115261696 133431056 134533792 136482071 137610022 141150208 143194304 144377728 147679048 154941952 156222464 158484832 166279168 167653376 183467702 184983964 194081536 198519376 200160032 203058691 208282624 210003968 213045184 214805888 223522816 230523392 256455041 266862112 269067584 272964142 275220044 282300416 286388608 288755456 295358096 309883904 312444928 316969664 332558336 366935404 369967928 388163072 397038752 400320064 406117382 416565248 420007936 426090368 429611776 461046784 508705901 512910082 533724224 538135168 545928284 550440088 572777216 577510912 590716192 619767808 624889856 633939328 733870808 739935856 756855121 776326144 794077504 800640128 812234764 833130496 852180736 859223552 922093568 1017411802 1025820164 1067448448 1076270336 1091856568 1100880176 1145554432 1155021824 1181432384 1239535616 1267878656 1467741616 1479871712 1513710242 1552652288 1588155008 1601280256 1624469528 1704361472 1718447104 1844187136 2034823604 2051640328 2134896896 2152540672 2183713136 2201760352 2291108864 2310043648 2362864768 2535757312 2821005451 2935483232 2959743424 3027420484 3105304576 3176310016 3202560512 3248939056 3408722944 3436894208 4069647208 4103280656 4269793792 4305081344 4367426272 4403520704 4582217728 4620087296 4725729536 5071514624 5595764911 5642010902 5870966464 5919486848 6054840968 6352620032 6405121024 6497878112 6817445888 6873788416 8139294416 8206561312 8325406331 8539587584 8610162688 8734852544 8807041408 9164435456 9451459072 10143029248 11191529822 11284021804 11741932928 11838973696 12109681936 12705240064 12810242048 12995756224 13634891776 16278588832 16413122624 16650812662 17079175168 17220325376 17469705088 17614082816 18902918144 20286058496 22383059644 22568043608 23483865856 23677947392 24219363872 25410480128 25620484096 25991512448 31031059961 32557177664 32826245248 33301625324 34158350336 34939410176 35228165632 37805836288 44766119288 45136087216 46967731712 47355894784 48438727744 50820960256 51983024896 62062119922 65114355328 65652490496 66603250648 69878820352 70456331264 75611672576 89532238576 90272174432 93935463424 94711789568 96877455488 103966049792 124124239844 130228710656 131304980992 133206501296 139757640704 140912662528 179064477152 180544348864 187870926848 189423579136 193754910976 207932099584 248248479688 260457421312 262609961984 266413002592 279515281408 281825325056 341341659571 358128954304 361088697728 375741853696 387509821952 415864199168 496496959376 520914842624 525219923968 532826005184 559030562816 682683319142 716257908608 722177395456 775019643904 831728398336 992993918752 1041829685248 1050439847936 1065652010368 1365366638284 1432515817216 1444354790912 1550039287808 1985987837504 2083659370496 2131304020736 2730733276568 2865031634432 2888709581824 3100078575616 3971975675008 4262608041472 5461466553136 5730063268864 5777419163648 7943951350016 8525216082944 10922933106272 11460126537728 11554838327296 15887902700032 17050432165888 21845866212544 22920253075456 31775805400064 34100864331776 43691732425088 63551610800128 87383464850176 127103221600256 174766929700352 349533859400704 699067718801408 1398135437602816
- Sum of all divisors σ(n): 3204716569393248
- Sum of proper divisors (its aliquot sum) s(n): 1806581131790432
- 1398135437602816 is an abundant number, because the sum of its proper divisors (1806581131790432) is greater than itself. Its abundance is 408445694187616
Bases of 1398135437602816
- Binary: 1001111011110011000110001100001101100110000000000002
- Hexadecimal: 0x4F798C61B3000
- Base-36: DRLIJWREV4
Squares and roots of 1398135437602816
- 1398135437602816 squared (13981354376028162) is 1954782701880817792544571129856
- 1398135437602816 cubed (13981354376028163) is 2733050968312552195513666357049350497287274496
-
The
square root of 1398135437602816 is 37391649.3030571733 -
The
cube root of 1398135437602816 is 111819.2086836749
Scales and comparisons
How big is 1398135437602816?- 1,398,135,437,602,816 seconds is equal to 44,456,382 years, 10 weeks, 2 days, 9 hours, 40 minutes, 16 seconds.
-
To count from 1 to 1,398,135,437,602,816 would take you about one hundred thirty-three million, three hundred sixty-nine thousand, one hundred forty-six 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 1398135437602816 cubic inches would be around 9318.3 feet tall.
Recreational maths with 1398135437602816
- 1398135437602816 backwards is 6182067345318931
- The number of decimal digits it has is: 16
- The sum of 1398135437602816's digits is 67
- More coming soon!
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