137434563648

Names of 137434563648

• Cardinal: 137434563648 can be written as One hundred thirty-seven billion, four hundred thirty-four million, five hundred sixty-three thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.37434563648 × 10¹¹

Factors of 137434563648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3330

Divisors of 137434563648

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 67 72 81 82 96 108 123 134 144 162 164 192 201 216 243 246 268 288 324 328 369 402 432 486 492 536 576 603 648 656 738 804 864 972 984 1072 1107 1206 1296 1312 1476 1608 1728 1809 1944 1968 2144 2214 2412 2592 2624 2747 2952 3216 3217 3321 3618 3888 3936 4288 4428 4824 5184 5427 5494 5904 6432 6434 6642 7236 7776 7872 8241 8856 9648 9651 9963 10854 10988 11808 12864 12868 13284 14472 15552 16281 16482 17712 19296 19302 19926 21708 21976 23616 24723 25736 26568 28944 28953 32562 32964 35424 38592 38604 39852 43416 43952 49446 51472 53136 57888 57906 65124 65928 70848 74169 77208 79704 86832 86859 87904 98892 102944 106272 115776 115812 130248 131856 131897 148338 154416 159408 173664 173718 175808 197784 205888 212544 215539 222507 231624 260496 260577 263712 263794 296676 308832 318816 347328 347436 395568 395691 431078 445014 463248 520992 521154 527424 527588 593352 617664 637632 646617 667521 694872 781731 791136 791382 862156 890028 926496 1041984 1042308 1055176 1186704 1187073 1293234 1335042 1389744 1563462 1582272 1582764 1724312 1780056 1852992 1939851 2084616 2110352 2373408 2374146 2586468 2670084 2779488 3126924 3165528 3448624 3560112 3561219 3879702 4169232 4220704 4746816 4748292 5172936 5340168 5558976 5819553 6253848 6331056 6897248 7120224 7122438 7759404 8338464 8441408 8837099 9496584 10345872 10680336 10683657 11639106 12507696 12662112 13794496 14240448 14244876 15518808 16676928 17458659 17674198 18993168 20691744 21360672 21367314 23278212 25015392 25324224 26511297 28489752 31037616 32050971 34917318 35348396 37986336 41383488 42721344 42734628 46556424 50030784 52375977 53022594 56979504 62075232 64101942 69834636 70696792 75972672 79533891 85469256 93112848 104751954 106045188 113959008 124150464 128203884 139669272 141393584 159067782 170938512 186225696 209503908 212090376 227918016 238601673 256407768 279338544 282787168 318135564 341877024 372451392 419007816 424180752 477203346 512815536 558677088 565574336 636271128 683754048 715805019 838015632 848361504 954406692 1025631072 1117354176 1272542256 1431610038 1676031264 1696723008 1908813384 2051262144 2147415057 2545084512 2863220076 3352062528 3817626768 4294830114 5090169024 5726440152 7635253536 8589660228 11452880304 15270507072 17179320456 22905760608 34358640912 45811521216 68717281824 137434563648
• Sum of all divisors σ(n): 424863426624
• Sum of proper divisors (its aliquot sum) s(n): 287428862976
• 137434563648 is an abundant number, because the sum of its proper divisors (287428862976) is greater than itself. Its abundance is 149994299328

Bases of 137434563648

• Binary: 1111111111111101111010000010001000000₂
• Hexadecimal: 0x1FFFBD0440
• Base-36: 1R4WZO00

Squares and roots of 137434563648

• 137434563648 squared (137434563648²) is 18888259285116163067904
• 137434563648 cubed (137434563648³) is 2595899672920224292229399233953792
• The square root of 137434563648 is 370721.6794955483
• The cube root of 137434563648 is 5160.5816759083

Scales and comparisons

• 137,434,563,648 seconds is equal to 4,369 years, 51 weeks, 4 days, 19 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,434,563,648 would take you about eight thousand, seven hundred thirty-nine 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 137434563648 cubic inches would be around 430 feet tall.

Recreational maths with 137434563648

• 137434563648 backwards is 846365434731
• 137434563648 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137434563648's digits is 54
• More coming soon!