46138549379072
46,138,549,379,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 46138549379072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 448 divisors.
46138549379072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 46138549379072:
213 × 17 × 37 × 61 × 229 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17 × 37 × 61 × 229 × 641)See below for interesting mathematical facts about the number 46138549379072 from the Numbermatics database.
Names of 46138549379072
- Cardinal: 46138549379072 can be written as Forty-six trillion, one hundred thirty-eight billion, five hundred forty-nine million, three hundred seventy-nine thousand and seventy-two.
Scientific notation
- Scientific notation: 4.6138549379072 × 1013
Factors of 46138549379072
Divisors of 46138549379072
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 8 16 17 32 34 37 61 64 68 74 122 128 136 148 229 244 256 272 296 458 488 512 544 592 629 641 916 976 1024 1037 1088 1184 1258 1282 1832 1952 2048 2074 2176 2257 2368 2516 2564 3664 3893 3904 4096 4148 4352 4514 4736 5032 5128 7328 7786 7808 8192 8296 8473 8704 9028 9472 10064 10256 10897 13969 14656 15572 15616 16592 16946 17408 18056 18944 20128 20512 21794 23717 27938 29312 31144 31232 33184 33892 34816 36112 37888 38369 39101 40256 41024 43588 47434 55876 58624 62288 62464 66368 67784 69632 72224 75776 76738 78202 80512 82048 87176 94868 111752 117248 124576 124928 132736 135568 139264 144041 144448 146789 151552 153476 156404 161024 164096 174352 189736 223504 234496 237473 249152 249856 265472 271136 288082 288896 293578 303104 306952 312808 322048 328192 348704 379472 403189 447008 468992 474946 498304 499712 516853 530944 542272 576164 577792 587156 613904 625616 644096 656384 664717 697408 758944 806378 894016 937984 949892 996608 1033706 1061888 1084544 1152328 1155584 1174312 1227808 1251232 1288192 1312768 1329434 1394816 1446737 1517888 1612756 1788032 1875968 1899784 1993216 2067412 2123776 2169088 2304656 2311168 2348624 2455616 2495413 2502464 2576384 2625536 2658868 2789632 2893474 3035776 3225512 3576064 3799568 3986432 4134824 4247552 4338176 4609312 4622336 4697248 4911232 4990826 5004928 5152768 5251072 5317736 5431193 5579264 5786948 6071552 6451024 7152128 7599136 7972864 8269648 8495104 8676352 8786501 8954129 9218624 9244672 9394496 9822464 9981652 10009856 10635472 10862386 11158528 11573896 12143104 12902048 14304256 15198272 15945728 16539296 17352704 17573002 17908258 18437248 18489344 18788992 19644928 19963304 20019712 21270944 21724772 22317056 23147792 24286208 24594529 25804096 28608512 30396544 31891456 33078592 34705408 35146004 35816516 36874496 37577984 39289856 39926608 40039424 42541888 43449544 44634112 46295584 48572416 49189058 51608192 57217024 60793088 66157184 69410816 70292008 71633032 73748992 75155968 78579712 79853216 80078848 85083776 86899088 89268224 92330281 92591168 97144832 98378116 103216384 114434048 121586176 132314368 140584016 143266064 147497984 150311936 152220193 157159424 159706432 160157696 170167552 173798176 184660562 185182336 194289664 196756232 206432768 243172352 264628736 281168032 286532128 294995968 300623872 304440386 314318848 319412864 320315392 331302773 340335104 347596352 369321124 370364672 393512464 412865536 486344704 529257472 562336064 573064256 589991936 601247744 608880772 638825728 662605546 680670208 695192704 738642248 740729344 787024928 825731072 972689408 1058514944 1124672128 1146128512 1179983872 1202495488 1217761544 1277651456 1325211092 1361340416 1390385408 1477284496 1481458688 1574049856 1651462144 1945378816 2117029888 2249344256 2292257024 2435523088 2555302912 2650422184 2722680832 2780770816 2954568992 2962917376 3148099712 3302924288 4234059776 4498688512 4584514048 4871046176 5110605824 5300844368 5445361664 5561541632 5632147141 5909137984 5925834752 6296199424 8997377024 9169028096 9742092352 10221211648 10601688736 11123083264 11264294282 11818275968 11851669504 12592398848 17994754048 18338056192 19484184704 20442423296 21203377472 22246166528 22528588564 23636551936 25184797696 35989508096 36676112384 38968369408 42406754944 44492333056 45057177128 47273103872 50369595392 71979016192 73352224768 77936738816 84813509888 90114354256 94546207744 100739190784 155873477632 169627019776 180228708512 189092415488 201478381568 311746955264 339254039552 360457417024 378184830976 623493910528 678508079104 720914834048 756369661952 1246987821056 1357016158208 1441829668096 2714032316416 2883659336192 5767318672384 11534637344768 23069274689536 46138549379072
- Sum of all divisors σ(n): 102589777182240
- Sum of proper divisors (its aliquot sum) s(n): 56451227803168
- 46138549379072 is an abundant number, because the sum of its proper divisors (56451227803168) is greater than itself. Its abundance is 10312678424096
Bases of 46138549379072
- Binary: 10100111110110011101111101100010100000000000002
- Hexadecimal: 0x29F677D8A000
- Base-36: GCRR91DKW
Squares and roots of 46138549379072
- 46138549379072 squared (461385493790722) is 2128765738805065236751581184
- 46138549379072 cubed (461385493790723) is 98218163156334190014373118711357398581248
-
The
square root of 46138549379072 is 6792536.2994298381 -
The
cube root of 46138549379072 is 35866.4157742667
Scales and comparisons
How big is 46138549379072?- 46,138,549,379,072 seconds is equal to 1,467,063 years, 8 weeks, 4 hours, 24 minutes, 32 seconds.
-
To count from 1 to 46,138,549,379,072 would take you about three million, six hundred sixty-seven thousand, six hundred fifty-seven 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 46138549379072 cubic inches would be around 2988.9 feet tall.
Recreational maths with 46138549379072
- 46138549379072 backwards is 27097394583164
- 46138549379072 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 46138549379072's digits is 68
- More coming soon!
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