137314484736
137,314,484,736 is an even composite number composed of six prime numbers multiplied together.
137314484736 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137314484736:
29 × 3 × 11 × 132 × 19 × 2531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 13 × 19 × 2531)See below for interesting mathematical facts about the number 137314484736 from the Numbermatics database.
Names of 137314484736
- Cardinal: 137314484736 can be written as One hundred thirty-seven billion, three hundred fourteen million, four hundred eighty-four thousand, seven hundred thirty-six.
Scientific notation
- Scientific notation: 1.37314484736 × 1011
Factors of 137314484736
Divisors of 137314484736
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 32 33 38 39 44 48 52 57 64 66 76 78 88 96 104 114 128 132 143 152 156 169 176 192 208 209 228 247 256 264 286 304 312 338 352 384 416 418 429 456 494 507 512 528 572 608 624 627 676 704 741 768 832 836 858 912 988 1014 1056 1144 1216 1248 1254 1352 1408 1482 1536 1664 1672 1716 1824 1859 1976 2028 2112 2288 2432 2496 2508 2531 2704 2717 2816 2964 3211 3328 3344 3432 3648 3718 3952 4056 4224 4576 4864 4992 5016 5062 5408 5434 5577 5632 5928 6422 6656 6688 6864 7296 7436 7593 7904 8112 8151 8448 9152 9633 9728 9984 10032 10124 10816 10868 11154 11856 12844 13376 13728 14592 14872 15186 15808 16224 16302 16896 18304 19266 19968 20064 20248 21632 21736 22308 23712 25688 26752 27456 27841 29184 29744 30372 31616 32448 32604 32903 35321 36608 38532 40128 40496 43264 43472 44616 47424 48089 51376 53504 54912 55682 59488 60744 63232 64896 65208 65806 70642 73216 77064 80256 80992 83523 86528 86944 89232 94848 96178 98709 102752 105963 107008 109824 111364 118976 121488 126464 129792 130416 131612 141284 144267 154128 160512 161984 167046 173888 178464 189696 192356 197418 205504 211926 219648 222728 237952 242976 259584 260832 263224 282568 288534 308256 321024 323968 334092 347776 356928 361933 379392 384712 394836 411008 423852 427739 445456 475904 485952 521664 526448 528979 565136 577068 616512 625157 647936 668184 695552 713856 723866 769424 789672 822016 847704 855478 890912 951808 971904 1043328 1052896 1057958 1085799 1130272 1154136 1233024 1250314 1283217 1295872 1336368 1391104 1427712 1447732 1538848 1579344 1586937 1644032 1695408 1710956 1781824 1875471 1943808 2086656 2105792 2115916 2171598 2260544 2308272 2466048 2500628 2566434 2672736 2855424 2895464 3077696 3158688 3173874 3390816 3421912 3563648 3750942 3887616 4173312 4211584 4231832 4343196 4521088 4616544 4705129 4932096 5001256 5132868 5345472 5790928 6155392 6317376 6347748 6781632 6843824 6876727 7127296 7501884 8127041 8423168 8463664 8686392 9042176 9233088 9410258 10002512 10265736 10690944 11581856 12310784 12634752 12695496 13563264 13687648 13753454 14115387 14254592 15003768 16254082 16846336 16927328 17372784 18084352 18466176 18820516 20005024 20531472 20630181 21381888 23163712 24381123 24621568 25269504 25390992 27126528 27375296 27506908 28230774 30007536 32508164 33854656 34745568 36932352 37641032 40010048 41062944 41260362 42763776 46327424 48762246 50539008 50781984 54253056 54750592 55013816 56461548 60015072 65016328 67709312 69491136 73864704 75282064 80020096 82125888 82520724 89397451 92654848 97524492 101563968 109501184 110027632 112923096 120030144 130032656 135418624 138982272 150564128 160040192 164251776 165041448 178794902 185309696 195048984 203127936 219002368 220055264 225846192 240060288 260065312 268192353 270837248 277964544 301128256 320080384 328503552 330082896 357589804 390097968 406255872 440110528 451692384 480120576 520130624 536384706 555929088 602256512 657007104 660165792 715179608 780195936 812511744 880221056 903384768 960241152 1040261248 1072769412 1204513024 1320331584 1430359216 1560391872 1760442112 1806769536 2080522496 2145538824 2409026048 2640663168 2860718432 3120783744 3520884224 3613539072 4161044992 4291077648 5281326336 5721436864 6241567488 7227078144 8582155296 10562652672 11442873728 12483134976 17164310592 22885747456 34328621184 45771494912 68657242368 137314484736
- Sum of all divisors σ(n): 455052660480
- Sum of proper divisors (its aliquot sum) s(n): 317738175744
- 137314484736 is an abundant number, because the sum of its proper divisors (317738175744) is greater than itself. Its abundance is 180423691008
Bases of 137314484736
- Binary: 11111111110001001010011000010000000002
- Hexadecimal: 0x1FF894C200
- Base-36: 1R2XHYIO
Squares and roots of 137314484736
- 137314484736 squared (1373144847362) is 18855267718313176989696
- 137314484736 cubed (1373144847363) is 2589101371299508289419277821280256
-
The
square root of 137314484736 is 370559.6911915811 -
The
cube root of 137314484736 is 5159.0782753609
Scales and comparisons
How big is 137314484736?- 137,314,484,736 seconds is equal to 4,366 years, 9 weeks, 1 day, 25 minutes, 36 seconds.
-
To count from 1 to 137,314,484,736 would take you about eight thousand, seven hundred thirty-two 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 137314484736 cubic inches would be around 429.9 feet tall.
Recreational maths with 137314484736
- 137314484736 backwards is 637484413731
- The number of decimal digits it has is: 12
- The sum of 137314484736's digits is 51
- More coming soon!
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