137315947824

Names of 137315947824

• Cardinal: 137315947824 can be written as One hundred thirty-seven billion, three hundred fifteen million, nine hundred forty-seven thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.37315947824 × 10¹¹

Factors of 137315947824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 238

Divisors of 137315947824

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 121 124 132 144 176 186 191 198 242 248 264 279 341 363 372 382 396 484 496 528 558 573 682 726 744 764 792 968 1023 1089 1116 1146 1331 1364 1452 1488 1528 1584 1719 1936 2046 2101 2178 2232 2292 2662 2728 2904 3056 3069 3438 3751 3993 4092 4202 4356 4464 4584 5324 5456 5808 5921 6138 6303 6876 7502 7986 8184 8404 8712 9168 10648 11253 11842 11979 12276 12606 13752 14641 15004 15972 16368 16808 17424 17763 18909 21296 22506 23111 23684 23958 24552 25212 27504 29282 30008 31944 33616 33759 35526 37818 41261 43923 45012 46222 47368 47916 49104 50424 53289 58564 60016 63888 65131 67518 69333 71052 75636 82522 87846 90024 92444 94736 95832 100848 106578 117128 123783 130262 131769 135036 138666 142104 151272 161051 165044 175692 180048 184888 191664 195393 207999 213156 234256 247566 254221 260524 263538 270072 277332 284208 302544 322102 330088 351384 369776 371349 390786 415998 426312 453871 483153 495132 508442 521048 527076 540144 554664 586179 644204 660176 702768 716441 742698 762663 781572 831996 852624 907742 966306 990264 1016884 1042096 1054152 1109328 1172358 1288408 1361613 1432882 1449459 1485396 1525326 1563144 1663992 1815484 1932612 1980528 2033768 2108304 2149323 2287989 2344716 2576816 2723226 2796431 2865764 2898918 2970792 3050652 3126288 3327984 3630968 3865224 4067536 4084839 4298646 4575978 4689432 4992581 5446452 5592862 5731528 5797836 5941584 6101304 6447969 7261936 7730448 7880851 8169678 8389293 8597292 9151956 9378864 9985162 10892904 11185724 11463056 11595672 12202608 12895938 14977743 15761702 16339356 16778586 17194584 18303912 19970324 21785808 22371448 23191344 23642553 25167879 25791876 29955486 30760741 31523404 32678712 33557172 34389168 36607824 39940648 44742896 44933229 47285106 50335758 51583752 59910972 61521482 63046808 65357424 67114344 70927659 79881296 86689361 89866458 92282223 94570212 100671516 103167504 119821944 123042964 126093616 134228688 141855318 173378722 179732916 184564446 189140424 201343032 239643888 246085928 260068083 276846669 283710636 346757444 359465832 369128892 378280848 402686064 492171856 520136166 553693338 567421272 693514888 718931664 738257784 780204249 953582971 1040272332 1107386676 1134842544 1387029776 1476515568 1560408498 1907165942 2080544664 2214773352 2860748913 3120816996 3814331884 4161089328 4429546704 5721497826 6241633992 7628663768 8582246739 11442995652 12483267984 15257327536 17164493478 22885991304 34328986956 45771982608 68657973912 137315947824
• Sum of all divisors σ(n): 438643924992
• Sum of proper divisors (its aliquot sum) s(n): 301327977168
• 137315947824 is an abundant number, because the sum of its proper divisors (301327977168) is greater than itself. Its abundance is 164012029344

Bases of 137315947824

• Binary: 1111111111000101010110001010100110000₂
• Hexadecimal: 0x1FF8AB1530
• Base-36: 1R2YDBG0

Squares and roots of 137315947824

• 137315947824 squared (137315947824²) is 18855669526803490334976
• 137315947824 cubed (137315947824³) is 2589184132929134848338652698292224
• The square root of 137315947824 is 370561.6653459987
• The cube root of 137315947824 is 5159.0965986491

Scales and comparisons

• 137,315,947,824 seconds is equal to 4,366 years, 11 weeks, 3 days, 22 hours, 50 minutes, 24 seconds.
• To count from 1 to 137,315,947,824 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 137315947824 cubic inches would be around 429.9 feet tall.

Recreational maths with 137315947824

• 137315947824 backwards is 428749513731
• The number of decimal digits it has is: 12
• The sum of 137315947824's digits is 54
• More coming soon!