137825440704

Names of 137825440704

• Cardinal: 137825440704 can be written as One hundred thirty-seven billion, eight hundred twenty-five million, four hundred forty thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.37825440704 × 10¹¹

Factors of 137825440704

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 282

Divisors of 137825440704

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 97 98 108 112 126 144 147 168 173 189 192 194 196 216 224 252 288 291 294 336 346 378 388 392 432 441 448 504 519 576 582 588 672 679 692 756 776 784 864 873 882 1008 1038 1164 1176 1211 1323 1344 1358 1384 1512 1552 1557 1568 1728 1746 1764 2016 2037 2076 2328 2352 2422 2619 2646 2716 2768 3024 3104 3114 3136 3492 3528 3633 4032 4074 4152 4656 4671 4704 4753 4844 5238 5292 5432 5536 6048 6111 6208 6228 6984 7056 7266 8148 8304 8477 9312 9342 9408 9409 9506 9688 10476 10584 10864 10899 11072 12096 12222 12456 13968 14112 14259 14532 16296 16608 16781 16954 18333 18624 18684 18818 19012 19376 20952 21168 21728 21798 24444 24912 25431 27936 28224 28227 28518 29064 32592 32697 33216 33562 33908 36666 37368 37636 38024 38752 41904 42336 42777 43456 43596 48888 49824 50343 50862 55872 56454 57036 58128 65184 65394 65863 67124 67816 73332 74736 75272 76048 76293 77504 83808 84672 84681 85554 87192 97776 99648 100686 101724 112908 114072 116256 117467 128331 130368 130788 131726 134248 135632 146664 149472 150544 151029 152096 152586 167616 169362 171108 174384 195552 197589 201372 203448 225816 228144 228879 232512 234934 254043 256662 261576 263452 268496 271264 293328 298944 301088 302058 304192 305172 338724 342216 348768 352401 391104 395178 402744 406896 451632 453087 456288 457758 461041 469868 508086 513324 523152 526904 536992 542528 586656 592767 602176 604116 610344 677448 684432 697536 704802 790356 805488 813792 822269 903264 906174 912576 915516 922082 939736 1016172 1026648 1046304 1053808 1057203 1073984 1173312 1185534 1208232 1220688 1354896 1368864 1383123 1409604 1580712 1610976 1627584 1627757 1644538 1778301 1806528 1812348 1831032 1844164 1879472 2032344 2053296 2092608 2107616 2114406 2371068 2416464 2441376 2466807 2709792 2737728 2766246 2819208 3161424 3171609 3221952 3255514 3289076 3556602 3624696 3662064 3688328 3758944 4064688 4106592 4149369 4215232 4228812 4742136 4832928 4882752 4883271 4933614 5419584 5532492 5638416 6322848 6343218 6511028 6578152 7113204 7249392 7324128 7376656 7400421 7517888 8129376 8213184 8298738 8457624 9484272 9665856 9766542 9867228 11064984 11276832 11394299 12448107 12645696 12686436 13022056 13156304 14226408 14498784 14648256 14649813 14753312 14800842 16258752 16597476 16915248 18968544 19533084 19734456 22129968 22201263 22553664 22788598 24896214 25372872 26044112 26312608 28452816 28997568 29299626 29506624 29601684 33194952 33830496 34182897 37937088 39066168 39468912 43949439 44259936 44402526 45577196 49792428 50745744 52088224 52625216 56905632 58599252 59203368 66389904 67660992 68365794 78132336 78937824 79760093 87898878 88519872 88805052 91154392 99584856 101491488 102548691 104176448 113811264 117198504 118406736 132779808 136731588 156264672 157875648 159520186 175797756 177610104 182308784 199169712 202982976 205097382 234397008 236813472 239280279 265559616 273463176 307646073 312529344 319040372 351595512 355220208 364617568 398339424 410194764 468794016 473626944 478560558 546926352 615292146 638080744 703191024 710440416 717840837 729235136 796678848 820389528 937588032 957121116 1093852704 1230584292 1276161488 1406382048 1420880832 1435681674 1640779056 1914242232 2153522511 2187705408 2461168584 2552322976 2812764096 2871363348 3281558112 3828484464 4307045022 4922337168 5104645952 5742726696 6563116224 7656968928 8614090044 9844674336 11485453392 15313937856 17228180088 19689348672 22970906784 34456360176 45941813568 68912720352 137825440704
• Sum of all divisors σ(n): 478995364080
• Sum of proper divisors (its aliquot sum) s(n): 341169923376
• 137825440704 is an abundant number, because the sum of its proper divisors (341169923376) is greater than itself. Its abundance is 203344482672

Bases of 137825440704

• Binary: 10000000010111000010010101001111000000₂
• Hexadecimal: 0x20170953C0
• Base-36: 1RBDPIO0

Squares and roots of 137825440704

• 137825440704 squared (137825440704²) is 18995852105251820015616
• 137825440704 cubed (137825440704³) is 2618111687954338286550363362033664
• The square root of 137825440704 is 371248.4891605621
• The cube root of 137825440704 is 5165.4694411827

Scales and comparisons

• 137,825,440,704 seconds is equal to 4,382 years, 21 weeks, 6 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 137,825,440,704 would take you about eight thousand, seven hundred sixty-four 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 137825440704 cubic inches would be around 430.5 feet tall.

Recreational maths with 137825440704

• 137825440704 backwards is 407044528731
• The number of decimal digits it has is: 12
• The sum of 137825440704's digits is 45
• More coming soon!